This document discusses point and interval estimation. It defines an estimator as a function used to infer an unknown population parameter based on sample data. Point estimation provides a single value, while interval estimation provides a range of values with a certain confidence level, such as 95%. Common point estimators include the sample mean and proportion. Interval estimators account for variability in samples and provide more information than point estimators. The document provides examples of how to construct confidence intervals using point estimates, confidence levels, and standard errors or deviations.
This document discusses methods for estimating population parameters from sample data, including point estimation, bias, confidence intervals, sample size determination, and hypothesis testing. Key points include defining point estimates as single values representing plausible population values based on sample data, describing how to calculate confidence intervals for population proportions and means using z-tests and t-tests, and outlining how to determine necessary sample sizes to achieve a desired level of accuracy and confidence.
The document discusses key concepts related to sampling methods in marketing research. It defines sampling elements, population, sampling frame, and sampling unit. It presents formulas for calculating sample size when estimating means of continuous variables and proportions. The formula for means involves variables like confidence level (Z), standard deviation (s), and tolerable error (e). The formula for proportions uses variables like confidence level (Z), estimated proportion (p), and tolerable error (e). The document provides an example of each formula and discusses limitations of the formulas related to number of centers, multiple questions, and cell size in analysis.
This document discusses sample size determination and calculation. It defines sample size as the subset of a population chosen for a study to make inferences about the total population. The key factors in determining sample size are the desired level of accuracy, allowing for appropriate analysis, and validity of significance tests. The document provides formulas and methods for calculating sample size for different study designs and populations, including using formulas, readymade tables, nomograms, and computer software. Accurately determining sample size is essential for research.
To calculate the required sample size for a survey, you need to determine the population size, margin of error, confidence level, and standard deviation. The formula used is sample size = (z-score)2 * p(1-p) / (margin of error)2. For a survey estimating smartphone ownership in a city with a 99% confidence level, 0.03 margin of error, and 0.70 estimated standard deviation, the required sample size is 2,400.
Okay, let's solve this step-by-step:
- zα/2 for a 90% CI is 1.645
- p from the pilot study is 20/30 = 0.667
- 1 - p is 1 - 0.667 = 0.333
- Desired margin of error E is 0.1
Plugging into the formula:
n = (1.645)2 * 0.667 * 0.333 / (0.1)2
n = (1.645)2 * 0.222 / 0.01
n = 96.75 ~ 97
The required sample size is 97
This document discusses confidence intervals and margin of error in statistical analysis. It defines key terminology like population mean, sample mean, standard deviation, and standard error. It explains that the margin of error depends on the sample size and standard deviation, and provides the formula for calculating sample size needed to achieve a given margin of error. Several examples are provided to illustrate how to construct confidence intervals and determine required sample sizes.
This document discusses point and interval estimation. It defines an estimator as a function used to infer an unknown population parameter based on sample data. Point estimation provides a single value, while interval estimation provides a range of values with a certain confidence level, such as 95%. Common point estimators include the sample mean and proportion. Interval estimators account for variability in samples and provide more information than point estimators. The document provides examples of how to construct confidence intervals using point estimates, confidence levels, and standard errors or deviations.
This document discusses methods for estimating population parameters from sample data, including point estimation, bias, confidence intervals, sample size determination, and hypothesis testing. Key points include defining point estimates as single values representing plausible population values based on sample data, describing how to calculate confidence intervals for population proportions and means using z-tests and t-tests, and outlining how to determine necessary sample sizes to achieve a desired level of accuracy and confidence.
The document discusses key concepts related to sampling methods in marketing research. It defines sampling elements, population, sampling frame, and sampling unit. It presents formulas for calculating sample size when estimating means of continuous variables and proportions. The formula for means involves variables like confidence level (Z), standard deviation (s), and tolerable error (e). The formula for proportions uses variables like confidence level (Z), estimated proportion (p), and tolerable error (e). The document provides an example of each formula and discusses limitations of the formulas related to number of centers, multiple questions, and cell size in analysis.
This document discusses sample size determination and calculation. It defines sample size as the subset of a population chosen for a study to make inferences about the total population. The key factors in determining sample size are the desired level of accuracy, allowing for appropriate analysis, and validity of significance tests. The document provides formulas and methods for calculating sample size for different study designs and populations, including using formulas, readymade tables, nomograms, and computer software. Accurately determining sample size is essential for research.
To calculate the required sample size for a survey, you need to determine the population size, margin of error, confidence level, and standard deviation. The formula used is sample size = (z-score)2 * p(1-p) / (margin of error)2. For a survey estimating smartphone ownership in a city with a 99% confidence level, 0.03 margin of error, and 0.70 estimated standard deviation, the required sample size is 2,400.
Okay, let's solve this step-by-step:
- zα/2 for a 90% CI is 1.645
- p from the pilot study is 20/30 = 0.667
- 1 - p is 1 - 0.667 = 0.333
- Desired margin of error E is 0.1
Plugging into the formula:
n = (1.645)2 * 0.667 * 0.333 / (0.1)2
n = (1.645)2 * 0.222 / 0.01
n = 96.75 ~ 97
The required sample size is 97
This document discusses confidence intervals and margin of error in statistical analysis. It defines key terminology like population mean, sample mean, standard deviation, and standard error. It explains that the margin of error depends on the sample size and standard deviation, and provides the formula for calculating sample size needed to achieve a given margin of error. Several examples are provided to illustrate how to construct confidence intervals and determine required sample sizes.
Module 7 Interval estimatorsMaster for Business Statistics.docxgilpinleeanna
Module 7
Interval estimators
Master for Business Statistics
Dane McGuckian
Topics
7.1 Interval Estimate of the Population Mean with a Known Population Standard Deviation
7.2 Sample Size Requirements for Estimating the Population Mean
7.3 Interval Estimate of the Population Mean with an Unknown Population Standard Deviation
7.4 Interval Estimate of the Population Proportion
7.5 Sample Size Requirements for Estimating the Population Proportion
7.1
Interval Estimate of the Population Mean with a Known Population Standard Deviation
Interval Estimators
Quantities like the sample mean and the sample standard deviation are called point estimators because they are single values derived from sample data that are used to estimate the value of an unknown population parameter.
The point estimators used in Statistics have some very desirable traits; however, they do not come with a measure of certainty.
In other words, there is no way to determine how close the population parameter is to a value of our point estimate. For this reason, the interval estimator was developed.
An interval estimator is a range of values derived from sample data that has a certain probability of containing the population parameter.
This probability is usually referred to as confidence, and it is the main advantage that interval estimators have over point estimators.
The confidence level for a confidence interval tells us the likelihood that a given interval will contain the target parameter we are trying to estimate.
The Meaning of “Confidence Level”
Interval estimates come with a level of confidence.
The level of confidence is specified by its confidence coefficient – it is the probability (relative frequency) that an interval estimator will enclose the target parameter when the estimator is used repeatedly a very large number of times.
The most common confidence levels are 99%, 98%, 95%, and 90%.
Example: A manufacturer takes a random sample of 40 computer chips from its production line to construct a 95% confidence interval to estimate the true average lifetime of the chip. If the manufacturer formed confidence intervals for every possible sample of 40 chips, 95% of those intervals would contain the population average.
The Meaning of “Confidence Level”
In the previous example, it is important to note that once the manufacturer has constructed a 95% confidence interval, it is no longer acceptable to state that there is a 95% chance that the interval contains the true average lifetime of the computer chip.
Prior to constructing the interval, there was a 95% chance that the random interval limits would contain the true average, but once the process of collecting the sample and constructing the interval is complete, the resulting interval either does or does not contain the true average.
Thus there is a probability of 1 or 0 that the true average is contained within the interval, not a 0.95 probability.
The interval limits are random variables because the ...
This document discusses confidence intervals for estimating population parameters. It provides examples of constructing point and interval estimates for the population mean and proportion from sample data. Confidence intervals allow us to estimate a range of plausible values for the true population parameter based on the sample results and desired confidence level, rather than just a single point value. The width of the confidence interval depends on the sample size and confidence level, with larger samples and lower confidence levels producing narrower intervals.
Lecture5 Applied Econometrics and Economic Modelingstone55
The document discusses various statistical techniques for constructing confidence intervals from sample data. It provides examples of calculating 95% confidence intervals for a mean, proportion, difference between means, and difference between proportions. It also discusses how to determine the necessary sample size needed to achieve a given confidence interval length.
GROUP 1 biostatistics ,sample size and epid.pptxEmma910932
The document discusses sample size determination in epidemiological studies. It defines key terms like sample, sample size, and reasons for determining sample size such as allowing for appropriate analysis and providing an accurate level of precision. Methods for determining sample size discussed include using the entire population (census), published sample sizes, and formulas. Several formulas are provided for estimating sample sizes needed for different study designs like descriptive studies and studies estimating a mean or proportion. Steps for using the formulas are outlined.
This document discusses determining the appropriate sample size for research. It notes that sample size must be large enough to avoid outliers but small enough to not be too complex, costly or prolonged. It provides a 6-step process for calculating sample size: 1) consider variables affecting size, 2) set an error margin, 3) determine confidence level, 4) select a standard deviation, 5) assign a z-score based on confidence level, and 6) use a formula to calculate the sample size based on these factors. An example calculation for a study is provided.
Estimating population values ppt @ bec domsBabasab Patil
This document discusses confidence intervals for estimating population parameters. It covers confidence intervals for the mean when the population standard deviation is known and unknown, as well as confidence intervals for the population proportion. Key points include:
- A confidence interval provides a range of plausible values for an unknown population parameter based on a sample statistic.
- The margin of error and confidence level affect the width of a confidence interval.
- The t-distribution is used instead of the normal when the population standard deviation is unknown.
- Sample size formulas allow determining the required sample size to estimate a population parameter within a specified margin of error and confidence level.
This document discusses various topics related to report writing including findings, conclusions, recommendations, types of reports, report sections, and explores common myths about reports. It provides examples of different sections within reports including an executive summary, company overview, factors for analysis and methodology. The summaries focus on conveying the high-level purpose or content of the different sections while keeping the summary brief.
Standard Error & Confidence Intervals.pptxhanyiasimple
Certainly! Let's delve into the concept of **standard error**.
## What Is Standard Error?
The **standard error (SE)** is a statistical measure that quantifies the **variability** between a sample statistic (such as the mean) and the corresponding population parameter. Specifically, it estimates how much the sample mean would **vary** if we were to repeat the study using **new samples** from the same population. Here are the key points:
1. **Purpose**: Standard error helps us understand how well our **sample data** represents the entire population. Even with **probability sampling**, where elements are randomly selected, some **sampling error** remains. Calculating the standard error allows us to estimate the representativeness of our sample and draw valid conclusions.
2. **High vs. Low Standard Error**:
- **High Standard Error**: Indicates that sample means are **widely spread** around the population mean. In other words, the sample may not closely represent the population.
- **Low Standard Error**: Suggests that sample means are **closely distributed** around the population mean, indicating that the sample is representative of the population.
3. **Decreasing Standard Error**:
- To decrease the standard error, **increase the sample size**. Using a large, random sample minimizes **sampling bias** and provides a more accurate estimate of the population parameter.
## Standard Error vs. Standard Deviation
- **Standard Deviation (SD)**: Describes variability **within a single sample**. It can be calculated directly from sample data.
- **Standard Error (SE)**: Estimates variability across **multiple samples** from the same population. It is an **inferential statistic** that can only be estimated (unless the true population parameter is known).
### Example:
Suppose we have a random sample of 200 students, and we calculate the mean math SAT score to be 550. In this case:
- **Sample**: The 200 students
- **Population**: All test takers in the region
The standard error helps us understand how well this sample represents the entire population's math SAT scores.
Remember, the standard error is crucial for making valid statistical inferences. By understanding it, researchers can confidently draw conclusions based on sample data. 📊🔍
If you need further clarification or have additional questions, feel free to ask! 😊
---
I've provided a concise explanation of standard error, emphasizing its importance in statistical analysis. If you'd like more details or specific examples, feel free to ask! ¹²³⁴
Source: Conversation with Copilot, 5/31/2024
(1) What Is Standard Error? | How to Calculate (Guide with Examples) - Scribbr. https://www.scribbr.com/statistics/standard-error/.
(2) Standard Error (SE) Definition: Standard Deviation in ... - Investopedia. https://www.investopedia.com/terms/s/standard-error.asp.
(3) Standard error Definition & Meaning - Merriam-Webster. https://www.merriam-webster.com/dictionary/standard%20error.
(4) Standard err
This is part one of the series of learning sessions designed to understand the basics of statistics used in pharmaceutical companies.
This presentation includes the following topics:
Accuracy and Precision
Tendency of data
Sampling errors and their mitigation
Confidence interval and range
T-test
Confidence Interval ModuleOne of the key concepts of statist.docxmaxinesmith73660
Confidence Interval Module
One of the key concepts of statistics enabling statisticians to make incredibly accurate predictions is called the Central Limit Theorem. The Central Limit Theorem is defined in this way:
· For samples of a sufficiently large size, the real distribution of means is almost always approximately normal.
· The distribution of means gets closer and closer to normal as the sample size gets larger and larger, regardless of what the original variable looks like (positively or negatively skewed).
· In other words, the original variable does not have to be normally distributed.
· This is because, if we as eccentric researchers, drew an almost infinite number of random samples from a single population (such as the student body of NMSU), the means calculated from the many samples of that population will be normally distributed and the mean calculated from all of those samples would be a very close approximation to the true population mean. It is this very characteristic that makes it possible for us, using sound probability based sampling techniques, to make highly accurate statements about characteristics of a population based upon the statistics calculated on a sample drawn from that population.
· Furthermore, we can calculate a statistic known as the standard error of the mean (abbreviated s.e.) that describes the variability of the distribution of all possible sample means in the same way that we used the standard deviation to describe the variability of a single sample. We will use the standard error of the mean (s.e.) to calculate the statistic that is the topic of this module, the confidence interval.
The formula that we use to calculate the standard error of the mean is:
s.e. = s / √N – 1
where s = the standard deviation calculated from the sample; and
N = the sample size.
So the formula tells us that the standard error of the mean is equal to the
standard deviation divided by the square root of the sample size minus 1.
This is the preferred formula for practicing professionals as it accounts for errors that may be a function of the particular sample we have selected.
THE CONFIDENCE INTERVAL (CI)
The formula for the CI is a function of the sample size (N).
For samples sizes ≥ 100, the formula for the CI is:
CI = (the sample mean) + & - Z(s.e.).
Let’s look at an example to see how this formula works.
* Please use a pdf doc. “how to solve the problem”, I have provided for you under the “notes” link.
Example 1
Suppose that we conducted interviews with 140 randomly selected individuals (N = 140) in a large metropolitan area. We assured these individuals that their answers would remain confidential, and we asked them about their law-breaking behavior. Among other questions the individuals were asked to self-report the number of times per month they exceeded the speed limit. One of the objectives of the study was to estimate (make an inference about) the average nu.
Are you looking to expand your research toolkit to include some quantitative methods, such as survey research or A/B testing? Have you been asked to collect some usability metrics, but aren’t sure how best to go about that? Or do you just want to be more aware of all of the UX research possibilities? If your answer to any of those questions is yes, then this session is for you.
You may know that without statistics, you won’t know if A is really better than B, if users are truly more satisfied with your new site than with your old one, or which changes to your site have actually impacted conversion rates. However, statistics can also help you figure out how to report satisfaction and other metrics you collect during usability tests. And they’re essential for making sense of the results of quantitative usability tests.
This session will focus on the statistical concepts that are most useful for UX researchers. It won’t make you a quant, but it will give you a good grounding in quantitative methods and reporting. (For example, you will learn what a margin of error is, how to report quantitative data collected during a usability test - and how not to - and how many people you really need to fill out a survey.)
Statistics for UX Professionals - Jessica CameronUser Vision
Are you looking to expand your research toolkit to include some quantitative methods, such as survey research or A/B testing? Have you been asked to collect some usability metrics, but aren’t sure how best to go about that? Or do you just want to be more aware of all of the UX research possibilities? If your answer to any of those questions is yes, then this session is for you.
You may know that without statistics, you won’t know if A is really better than B, if users are truly more satisfied with your new site than with your old one, or which changes to your site have actually impacted conversion rates. However, statistics can also help you figure out how to report satisfaction and other metrics you collect during usability tests. And they’re essential for making sense of the results of quantitative usability tests.
This session will focus on the statistical concepts that are most useful for UX researchers. It won’t make you a quant, but it will give you a good grounding in quantitative methods and reporting. (For example, you will learn what a margin of error is, how to report quantitative data collected during a usability test - and how not to - and how many people you really need to fill out a survey.)
- The document discusses factors to consider when determining sample size for quantitative studies, including desired level of confidence, margin of error, and how dispersed the population is.
- Sample size is a balance between what is desirable and feasible, and too small a sample may miss important effects or be too imprecise, while too large wastes resources.
- Formulas are provided to calculate the minimum required sample size for estimating a single population proportion based on the expected proportion, desired margin of error, and confidence level. Adjustments may be needed if the population is small.
This document discusses confidence intervals and how they can be used to estimate population parameters from sample data. It provides the following key points:
- Confidence intervals provide a range of values that is likely to include an unknown population parameter, unlike a point estimate which is a single value. They indicate the reliability of an estimate.
- The formula for a confidence interval of a population mean takes the sample mean and adds/subtracts a critical value times the standard error.
- When the population standard deviation is unknown, the student's t-distribution must be used instead of the normal distribution, as it accounts for the extra uncertainty of estimating the standard deviation from a sample.
- Sample size calculations can determine the
Chapter 7 – Confidence Intervals And Sample SizeRose Jenkins
This document discusses confidence intervals for means and proportions. It defines key terms like point estimates, interval estimates, confidence levels, and confidence intervals. It provides formulas for calculating confidence intervals for means when the population standard deviation is known or unknown, and when the sample size is greater than or less than 30. Formulas are also given for calculating confidence intervals for proportions, and for determining the minimum sample size needed for estimating means and proportions within a desired level of accuracy. Examples of applying these concepts to sample data are also included.
Chapter 7 – Confidence Intervals And Sample Sizeguest3720ca
This document discusses confidence intervals for means and proportions. It defines key terms like point estimates, interval estimates, confidence levels, and confidence intervals. It provides formulas for calculating confidence intervals for means when the population standard deviation is known or unknown, and when the sample size is greater than or less than 30. Formulas are also given for calculating confidence intervals for proportions, and for determining the minimum sample size needed for estimating means and proportions within a desired level of accuracy. Examples of applying these concepts to sample data are also included.
This document provides an overview of key concepts in sampling, including population, sample, sampling frame, probability sampling, and non-probability sampling. It discusses the qualities of a probability sample, including how findings from a random sample can be generalized to the population. It also covers sample size considerations and different types of error in sampling, such as sampling error and non-sampling error.
This document discusses factors to consider when determining sample size for statistical studies. It notes that sample size is usually based on the study's objective and should be stated in the study protocol. Key factors in determining sample size include estimates of population standard deviation, acceptable sampling error levels, and desired confidence levels. Several methods are described for calculating sample size, including traditional statistical models and Bayesian models. The document also discusses concepts like sampling distributions of means and proportions, and factors that affect sample size calculations for estimating proportions, such as specifying acceptable error levels, confidence levels, and population proportion estimates.
This document discusses confidence intervals and how they are used to estimate population parameters from sample data. Some key points:
- Confidence intervals provide a range of values that is likely to include an unknown population parameter, rather than just a single point estimate. They indicate the reliability of an estimate.
- The formula for a confidence interval is point estimate ± (critical value)(standard error). It depends on the sample size, standard deviation, and desired confidence level.
- When the population standard deviation is unknown, the student's t-distribution is used instead of the normal distribution to calculate confidence intervals.
- Sample size calculations can determine the required sample size needed to estimate a population mean within a specified margin of
The document discusses various sampling techniques for research. It defines key concepts like population, sample, sampling frame and sampling methods. It explains that the sampling process involves defining the target population, choosing a sampling frame, selecting a sampling method, determining sample size and implementing the plan. It provides formulas to calculate sample sizes for proportions and means based on confidence level, precision and population characteristics. The goal is to obtain a representative sample and minimize error.
You are the Nursing Director for the medical-surgical area of a .docxkenjordan97598
You are the Nursing Director for the medical-surgical area of a large
hospital. Nurses at this hospital to “self-scheduling”. The managers of the
units have brought to your attention that a severe staffing shortage for the
winter holiday schedule is apparent. Using two different types of leadership
styles, how would you handle this situation?
.
You are the newly appointed director of the Agile County Airport.docxkenjordan97598
You are the newly appointed director of the Agile County Airport System. The characteristics of your organization include:
It is a Local Government Department
Consists of 4 Airports – International, Mather, Executive, Franklin Field
There are 400 employees at all four airports
The airport board of directors has decided to move to an Agile Lean process for all projects.
You quickly recognize that you need to undertake a cultural transformation in order for the Agile Lean process to take hold. The current organization has the following culture characteristics:
No Mission Statement
No Sense of Direction
Militaristic/Top-Down Leadership Model
No Accountability
No Communication
Staff focused on Empire Building
Organization Viewed Itself as Regulators
Focused on catching people doing something wrong
Publicly Belittled
Focus on “Turf”
Process Oriented
Problem Oriented
Growth Without a Long-Term Plan
Employees Not Engaged
Staff consists mostly of generalists
The board of directors has asked you to prepare an overview presentation for their next meeting on your ideas for a organizational culture transformation plan. To complete this assignment you are to design a 5 to 10 slide PowerPoint presentation with notes, that addresses the following key elements:
What makes up organizational culture?
What do you see as the benefits of a culture transformation
What would your Culture Transformation Plan consist of? Describe the high level steps you would take to accomplish this transformation.
What questions would you ask to help in defining a new culture?
What characteristics would you envision the “new” organizational culture to exhibit? Develop a list based upon the current organizational culture
.
More Related Content
Similar to Section 7 Analyzing our Marketing Test, Survey Results .docx
Module 7 Interval estimatorsMaster for Business Statistics.docxgilpinleeanna
Module 7
Interval estimators
Master for Business Statistics
Dane McGuckian
Topics
7.1 Interval Estimate of the Population Mean with a Known Population Standard Deviation
7.2 Sample Size Requirements for Estimating the Population Mean
7.3 Interval Estimate of the Population Mean with an Unknown Population Standard Deviation
7.4 Interval Estimate of the Population Proportion
7.5 Sample Size Requirements for Estimating the Population Proportion
7.1
Interval Estimate of the Population Mean with a Known Population Standard Deviation
Interval Estimators
Quantities like the sample mean and the sample standard deviation are called point estimators because they are single values derived from sample data that are used to estimate the value of an unknown population parameter.
The point estimators used in Statistics have some very desirable traits; however, they do not come with a measure of certainty.
In other words, there is no way to determine how close the population parameter is to a value of our point estimate. For this reason, the interval estimator was developed.
An interval estimator is a range of values derived from sample data that has a certain probability of containing the population parameter.
This probability is usually referred to as confidence, and it is the main advantage that interval estimators have over point estimators.
The confidence level for a confidence interval tells us the likelihood that a given interval will contain the target parameter we are trying to estimate.
The Meaning of “Confidence Level”
Interval estimates come with a level of confidence.
The level of confidence is specified by its confidence coefficient – it is the probability (relative frequency) that an interval estimator will enclose the target parameter when the estimator is used repeatedly a very large number of times.
The most common confidence levels are 99%, 98%, 95%, and 90%.
Example: A manufacturer takes a random sample of 40 computer chips from its production line to construct a 95% confidence interval to estimate the true average lifetime of the chip. If the manufacturer formed confidence intervals for every possible sample of 40 chips, 95% of those intervals would contain the population average.
The Meaning of “Confidence Level”
In the previous example, it is important to note that once the manufacturer has constructed a 95% confidence interval, it is no longer acceptable to state that there is a 95% chance that the interval contains the true average lifetime of the computer chip.
Prior to constructing the interval, there was a 95% chance that the random interval limits would contain the true average, but once the process of collecting the sample and constructing the interval is complete, the resulting interval either does or does not contain the true average.
Thus there is a probability of 1 or 0 that the true average is contained within the interval, not a 0.95 probability.
The interval limits are random variables because the ...
This document discusses confidence intervals for estimating population parameters. It provides examples of constructing point and interval estimates for the population mean and proportion from sample data. Confidence intervals allow us to estimate a range of plausible values for the true population parameter based on the sample results and desired confidence level, rather than just a single point value. The width of the confidence interval depends on the sample size and confidence level, with larger samples and lower confidence levels producing narrower intervals.
Lecture5 Applied Econometrics and Economic Modelingstone55
The document discusses various statistical techniques for constructing confidence intervals from sample data. It provides examples of calculating 95% confidence intervals for a mean, proportion, difference between means, and difference between proportions. It also discusses how to determine the necessary sample size needed to achieve a given confidence interval length.
GROUP 1 biostatistics ,sample size and epid.pptxEmma910932
The document discusses sample size determination in epidemiological studies. It defines key terms like sample, sample size, and reasons for determining sample size such as allowing for appropriate analysis and providing an accurate level of precision. Methods for determining sample size discussed include using the entire population (census), published sample sizes, and formulas. Several formulas are provided for estimating sample sizes needed for different study designs like descriptive studies and studies estimating a mean or proportion. Steps for using the formulas are outlined.
This document discusses determining the appropriate sample size for research. It notes that sample size must be large enough to avoid outliers but small enough to not be too complex, costly or prolonged. It provides a 6-step process for calculating sample size: 1) consider variables affecting size, 2) set an error margin, 3) determine confidence level, 4) select a standard deviation, 5) assign a z-score based on confidence level, and 6) use a formula to calculate the sample size based on these factors. An example calculation for a study is provided.
Estimating population values ppt @ bec domsBabasab Patil
This document discusses confidence intervals for estimating population parameters. It covers confidence intervals for the mean when the population standard deviation is known and unknown, as well as confidence intervals for the population proportion. Key points include:
- A confidence interval provides a range of plausible values for an unknown population parameter based on a sample statistic.
- The margin of error and confidence level affect the width of a confidence interval.
- The t-distribution is used instead of the normal when the population standard deviation is unknown.
- Sample size formulas allow determining the required sample size to estimate a population parameter within a specified margin of error and confidence level.
This document discusses various topics related to report writing including findings, conclusions, recommendations, types of reports, report sections, and explores common myths about reports. It provides examples of different sections within reports including an executive summary, company overview, factors for analysis and methodology. The summaries focus on conveying the high-level purpose or content of the different sections while keeping the summary brief.
Standard Error & Confidence Intervals.pptxhanyiasimple
Certainly! Let's delve into the concept of **standard error**.
## What Is Standard Error?
The **standard error (SE)** is a statistical measure that quantifies the **variability** between a sample statistic (such as the mean) and the corresponding population parameter. Specifically, it estimates how much the sample mean would **vary** if we were to repeat the study using **new samples** from the same population. Here are the key points:
1. **Purpose**: Standard error helps us understand how well our **sample data** represents the entire population. Even with **probability sampling**, where elements are randomly selected, some **sampling error** remains. Calculating the standard error allows us to estimate the representativeness of our sample and draw valid conclusions.
2. **High vs. Low Standard Error**:
- **High Standard Error**: Indicates that sample means are **widely spread** around the population mean. In other words, the sample may not closely represent the population.
- **Low Standard Error**: Suggests that sample means are **closely distributed** around the population mean, indicating that the sample is representative of the population.
3. **Decreasing Standard Error**:
- To decrease the standard error, **increase the sample size**. Using a large, random sample minimizes **sampling bias** and provides a more accurate estimate of the population parameter.
## Standard Error vs. Standard Deviation
- **Standard Deviation (SD)**: Describes variability **within a single sample**. It can be calculated directly from sample data.
- **Standard Error (SE)**: Estimates variability across **multiple samples** from the same population. It is an **inferential statistic** that can only be estimated (unless the true population parameter is known).
### Example:
Suppose we have a random sample of 200 students, and we calculate the mean math SAT score to be 550. In this case:
- **Sample**: The 200 students
- **Population**: All test takers in the region
The standard error helps us understand how well this sample represents the entire population's math SAT scores.
Remember, the standard error is crucial for making valid statistical inferences. By understanding it, researchers can confidently draw conclusions based on sample data. 📊🔍
If you need further clarification or have additional questions, feel free to ask! 😊
---
I've provided a concise explanation of standard error, emphasizing its importance in statistical analysis. If you'd like more details or specific examples, feel free to ask! ¹²³⁴
Source: Conversation with Copilot, 5/31/2024
(1) What Is Standard Error? | How to Calculate (Guide with Examples) - Scribbr. https://www.scribbr.com/statistics/standard-error/.
(2) Standard Error (SE) Definition: Standard Deviation in ... - Investopedia. https://www.investopedia.com/terms/s/standard-error.asp.
(3) Standard error Definition & Meaning - Merriam-Webster. https://www.merriam-webster.com/dictionary/standard%20error.
(4) Standard err
This is part one of the series of learning sessions designed to understand the basics of statistics used in pharmaceutical companies.
This presentation includes the following topics:
Accuracy and Precision
Tendency of data
Sampling errors and their mitigation
Confidence interval and range
T-test
Confidence Interval ModuleOne of the key concepts of statist.docxmaxinesmith73660
Confidence Interval Module
One of the key concepts of statistics enabling statisticians to make incredibly accurate predictions is called the Central Limit Theorem. The Central Limit Theorem is defined in this way:
· For samples of a sufficiently large size, the real distribution of means is almost always approximately normal.
· The distribution of means gets closer and closer to normal as the sample size gets larger and larger, regardless of what the original variable looks like (positively or negatively skewed).
· In other words, the original variable does not have to be normally distributed.
· This is because, if we as eccentric researchers, drew an almost infinite number of random samples from a single population (such as the student body of NMSU), the means calculated from the many samples of that population will be normally distributed and the mean calculated from all of those samples would be a very close approximation to the true population mean. It is this very characteristic that makes it possible for us, using sound probability based sampling techniques, to make highly accurate statements about characteristics of a population based upon the statistics calculated on a sample drawn from that population.
· Furthermore, we can calculate a statistic known as the standard error of the mean (abbreviated s.e.) that describes the variability of the distribution of all possible sample means in the same way that we used the standard deviation to describe the variability of a single sample. We will use the standard error of the mean (s.e.) to calculate the statistic that is the topic of this module, the confidence interval.
The formula that we use to calculate the standard error of the mean is:
s.e. = s / √N – 1
where s = the standard deviation calculated from the sample; and
N = the sample size.
So the formula tells us that the standard error of the mean is equal to the
standard deviation divided by the square root of the sample size minus 1.
This is the preferred formula for practicing professionals as it accounts for errors that may be a function of the particular sample we have selected.
THE CONFIDENCE INTERVAL (CI)
The formula for the CI is a function of the sample size (N).
For samples sizes ≥ 100, the formula for the CI is:
CI = (the sample mean) + & - Z(s.e.).
Let’s look at an example to see how this formula works.
* Please use a pdf doc. “how to solve the problem”, I have provided for you under the “notes” link.
Example 1
Suppose that we conducted interviews with 140 randomly selected individuals (N = 140) in a large metropolitan area. We assured these individuals that their answers would remain confidential, and we asked them about their law-breaking behavior. Among other questions the individuals were asked to self-report the number of times per month they exceeded the speed limit. One of the objectives of the study was to estimate (make an inference about) the average nu.
Are you looking to expand your research toolkit to include some quantitative methods, such as survey research or A/B testing? Have you been asked to collect some usability metrics, but aren’t sure how best to go about that? Or do you just want to be more aware of all of the UX research possibilities? If your answer to any of those questions is yes, then this session is for you.
You may know that without statistics, you won’t know if A is really better than B, if users are truly more satisfied with your new site than with your old one, or which changes to your site have actually impacted conversion rates. However, statistics can also help you figure out how to report satisfaction and other metrics you collect during usability tests. And they’re essential for making sense of the results of quantitative usability tests.
This session will focus on the statistical concepts that are most useful for UX researchers. It won’t make you a quant, but it will give you a good grounding in quantitative methods and reporting. (For example, you will learn what a margin of error is, how to report quantitative data collected during a usability test - and how not to - and how many people you really need to fill out a survey.)
Statistics for UX Professionals - Jessica CameronUser Vision
Are you looking to expand your research toolkit to include some quantitative methods, such as survey research or A/B testing? Have you been asked to collect some usability metrics, but aren’t sure how best to go about that? Or do you just want to be more aware of all of the UX research possibilities? If your answer to any of those questions is yes, then this session is for you.
You may know that without statistics, you won’t know if A is really better than B, if users are truly more satisfied with your new site than with your old one, or which changes to your site have actually impacted conversion rates. However, statistics can also help you figure out how to report satisfaction and other metrics you collect during usability tests. And they’re essential for making sense of the results of quantitative usability tests.
This session will focus on the statistical concepts that are most useful for UX researchers. It won’t make you a quant, but it will give you a good grounding in quantitative methods and reporting. (For example, you will learn what a margin of error is, how to report quantitative data collected during a usability test - and how not to - and how many people you really need to fill out a survey.)
- The document discusses factors to consider when determining sample size for quantitative studies, including desired level of confidence, margin of error, and how dispersed the population is.
- Sample size is a balance between what is desirable and feasible, and too small a sample may miss important effects or be too imprecise, while too large wastes resources.
- Formulas are provided to calculate the minimum required sample size for estimating a single population proportion based on the expected proportion, desired margin of error, and confidence level. Adjustments may be needed if the population is small.
This document discusses confidence intervals and how they can be used to estimate population parameters from sample data. It provides the following key points:
- Confidence intervals provide a range of values that is likely to include an unknown population parameter, unlike a point estimate which is a single value. They indicate the reliability of an estimate.
- The formula for a confidence interval of a population mean takes the sample mean and adds/subtracts a critical value times the standard error.
- When the population standard deviation is unknown, the student's t-distribution must be used instead of the normal distribution, as it accounts for the extra uncertainty of estimating the standard deviation from a sample.
- Sample size calculations can determine the
Chapter 7 – Confidence Intervals And Sample SizeRose Jenkins
This document discusses confidence intervals for means and proportions. It defines key terms like point estimates, interval estimates, confidence levels, and confidence intervals. It provides formulas for calculating confidence intervals for means when the population standard deviation is known or unknown, and when the sample size is greater than or less than 30. Formulas are also given for calculating confidence intervals for proportions, and for determining the minimum sample size needed for estimating means and proportions within a desired level of accuracy. Examples of applying these concepts to sample data are also included.
Chapter 7 – Confidence Intervals And Sample Sizeguest3720ca
This document discusses confidence intervals for means and proportions. It defines key terms like point estimates, interval estimates, confidence levels, and confidence intervals. It provides formulas for calculating confidence intervals for means when the population standard deviation is known or unknown, and when the sample size is greater than or less than 30. Formulas are also given for calculating confidence intervals for proportions, and for determining the minimum sample size needed for estimating means and proportions within a desired level of accuracy. Examples of applying these concepts to sample data are also included.
This document provides an overview of key concepts in sampling, including population, sample, sampling frame, probability sampling, and non-probability sampling. It discusses the qualities of a probability sample, including how findings from a random sample can be generalized to the population. It also covers sample size considerations and different types of error in sampling, such as sampling error and non-sampling error.
This document discusses factors to consider when determining sample size for statistical studies. It notes that sample size is usually based on the study's objective and should be stated in the study protocol. Key factors in determining sample size include estimates of population standard deviation, acceptable sampling error levels, and desired confidence levels. Several methods are described for calculating sample size, including traditional statistical models and Bayesian models. The document also discusses concepts like sampling distributions of means and proportions, and factors that affect sample size calculations for estimating proportions, such as specifying acceptable error levels, confidence levels, and population proportion estimates.
This document discusses confidence intervals and how they are used to estimate population parameters from sample data. Some key points:
- Confidence intervals provide a range of values that is likely to include an unknown population parameter, rather than just a single point estimate. They indicate the reliability of an estimate.
- The formula for a confidence interval is point estimate ± (critical value)(standard error). It depends on the sample size, standard deviation, and desired confidence level.
- When the population standard deviation is unknown, the student's t-distribution is used instead of the normal distribution to calculate confidence intervals.
- Sample size calculations can determine the required sample size needed to estimate a population mean within a specified margin of
The document discusses various sampling techniques for research. It defines key concepts like population, sample, sampling frame and sampling methods. It explains that the sampling process involves defining the target population, choosing a sampling frame, selecting a sampling method, determining sample size and implementing the plan. It provides formulas to calculate sample sizes for proportions and means based on confidence level, precision and population characteristics. The goal is to obtain a representative sample and minimize error.
Similar to Section 7 Analyzing our Marketing Test, Survey Results .docx (20)
You are the Nursing Director for the medical-surgical area of a .docxkenjordan97598
You are the Nursing Director for the medical-surgical area of a large
hospital. Nurses at this hospital to “self-scheduling”. The managers of the
units have brought to your attention that a severe staffing shortage for the
winter holiday schedule is apparent. Using two different types of leadership
styles, how would you handle this situation?
.
You are the newly appointed director of the Agile County Airport.docxkenjordan97598
You are the newly appointed director of the Agile County Airport System. The characteristics of your organization include:
It is a Local Government Department
Consists of 4 Airports – International, Mather, Executive, Franklin Field
There are 400 employees at all four airports
The airport board of directors has decided to move to an Agile Lean process for all projects.
You quickly recognize that you need to undertake a cultural transformation in order for the Agile Lean process to take hold. The current organization has the following culture characteristics:
No Mission Statement
No Sense of Direction
Militaristic/Top-Down Leadership Model
No Accountability
No Communication
Staff focused on Empire Building
Organization Viewed Itself as Regulators
Focused on catching people doing something wrong
Publicly Belittled
Focus on “Turf”
Process Oriented
Problem Oriented
Growth Without a Long-Term Plan
Employees Not Engaged
Staff consists mostly of generalists
The board of directors has asked you to prepare an overview presentation for their next meeting on your ideas for a organizational culture transformation plan. To complete this assignment you are to design a 5 to 10 slide PowerPoint presentation with notes, that addresses the following key elements:
What makes up organizational culture?
What do you see as the benefits of a culture transformation
What would your Culture Transformation Plan consist of? Describe the high level steps you would take to accomplish this transformation.
What questions would you ask to help in defining a new culture?
What characteristics would you envision the “new” organizational culture to exhibit? Develop a list based upon the current organizational culture
.
You are working on an address book database with a table called Cont.docxkenjordan97598
You are working on an address book database with a table called Contacts and fields for first name, last name, address, and phone number. Describe how you would implement a Python method that prompted the user to add new address entries into the database table. The table should have no duplicates. Include the necessary code and code descriptions.
.
You are the new Security Manager for a small bank in Iowa. They are .docxkenjordan97598
You are the new Security Manager for a small bank in Iowa. They are growing exponentially and are planning to add the ability for customers to access their accounts via the web and mobile devices. They have a basic DR plan which was made from a template found on the Internet. Now that there is going to be more exposure to the bank's network and data, several updates need to be made to policies and procedures. The CISO has requested that you create an Incident Response plan and submit communication plan for how internal stakeholders and external stakeholders will be notified of incidents. Please create a plan that identifies 2 internal stakeholders, the communication type, and the information which will be included in that plan and 2 external stakeholders, the communication type for each, and the information that will be included in the communication
.
You are working in a rural Family Planning Health clinic and a 16 y.docxkenjordan97598
You are working in a rural Family Planning Health clinic and a 16 y/o presents with complaints of vaginal pain, discharge, odor x 4 days. Pain is getting worse. Her mother relates she has a cognitive learning delay and has tried to talk to her about her consensual sexual behavior with multiple partners. She tells you she has "felt some 'bumps' down there." She relates multiple sexual partners because she is now popular and it is part of the 'game' to stay popular with her new friends. Diagnosis: HPV with several condyloma lesions, a vaginal yeast infection, and chlamydia.
She is given a prescription for Chlamydia, and the vulvar lesions, told to follow up in 2 weeks.
How do you approach her and begin the conversation regarding safe sexual practices? What are your thoughts about this young lady? How do you feel about her game? How would you proceed to give her education?
.
You are working in a family practice when your newly diagnosed T.docxkenjordan97598
You are working in a family practice when your newly diagnosed Type 1 diabetic patient comes in. He is a 15-year-old male and is accompanied by his mother.
The mother and patient report that he is "devastated" by his new diagnoses and that he hasn't been going out with his friends or participating in any of his previous activities. You suspect that he might be experiencing depression.
Please locate two resources specific to this situation that you would refer this parent/patient to for further support. Provide a brief description for each resource and explain why you chose them.
.
You are working for the Chief of Staff (CoS) for a newly elected Gov.docxkenjordan97598
You are working for the Chief of Staff (CoS) for a newly elected Governor. The governor asked the CoS to research and prepare a 5- to 7-paragraph background briefing (
backgrounder
) that addresses the below question. The CoS will use this background briefing to prepare the Governor and his appointed cybersecurity director as they answer questions from the press and general-public.
You are
not
answering the questions as the governor, rather you are providing the governor the information s/he needs to answer the question.
The question:
As governor, how will your administration improve cybersecurity for the state's Critical Infrastructures?
The CoS asked you to research and prepare a draft for the background briefing. Your draft must provide enough information that the CoS and the Governor understand key terms that you use in your explanations. To that end, your draft briefing must answer the following questions:
What is meant by "cybersecurity" for critical infrastructures?" Give examples of critical infrastructure associated with a specific state.
What is meant by "Threats" (i.e. individual hackers, politically motivated hacktivists, criminal enterprises, and unfriendly "nation state" actors), countermeasures, and safeguards? Explain technical terms and examples.
What are the three most important actions that the governor's administration should take to help improve the security of critical infrastructures in the state? (You should identify and discuss these in greater detail than your response to the first two bullet points.)
Provide in-text citations and references for 3 or more authoritative sources. Put the reference list at the end of your posting.
.
You are working at Johnson and Cohen law firm and have recently .docxkenjordan97598
You are working at Johnson and Cohen law firm and have recently been assigned to lead the appeal of a man convicted of first degree murder and sentenced to death.
The defendant has never had an IQ test, but friends and family insist that he has always been a little “slow“ his entire life. He was also diagnosed with autism earlier in his life and many of his former acquaintances thought he had psychiatric problems when they knew him.
These factors were never brought up at trial by the defendant's previous defense team because they wanted to focus on mitigating circumstances surrounding the crime that was committed rather than confusing the issue with too many different defenses.
Based on the Case Study for this week, submit a 6 page case analysis using Microsoft Word that answers the following questions:
How would your team argue during the appeal that the defendant's constitutional rights were violated?
What evidence would be required for your defendant to be considered mentally retarded under
Atkins v. Virginia
and
Penry v. Lynaugh (1989)
?
Assess whether or not that evidence can be presented in this case.
What evidence would be required for your defendant to be considered insane under
Ford v. Wainwright (1986)
? Assess whether or not that evidence can be presented in this case.
Do you believe that bringing up the defendant's diagnosis of autism could have aided in the defense in the sentencing phase? Would the contention that he was mentally slow have helped? Provide rationale for your answers.
Identify other aspects of the case not mentioned in the scenario that could benefit the defendant. For instance, consider whether the Supreme Court has found it unconstitutional to apply the death penalty in other circumstances.
If you succeed in your appeal, what would be the next steps to occur?
.
You are working for a community counseling agency, and you are taske.docxkenjordan97598
You are working for a community counseling agency, and you are tasked with training new counseling interns on effective counseling skills.
Create
a 1- to 2-page informational training paper on the role of effective counseling skills on the counseling relationship. Describe how each of the following affects the counseling relationship:
Characteristics of an effective helper
Attending and observation skills
Initiation of client-counselor rapport and trust
Maintaining boundaries and self-awareness
Transference and countertransference
Factors associated with age, culture, and diversity
.
You are working as the software tester for a big enterprise comp.docxkenjordan97598
You are working as the software tester for a big enterprise company. Your company is working on the following architecture:
(Daniel, 2016)
Address the following, and complete all of the sections based on the above architecture:
Submit a System Test Plan document that contains the following:
Purpose of the document
Functional scope
Testing strategy
System testing entrance criteria
Test data
Suspension criteria
Execution plan
Defect reporting
Test schedule
Environment
Risks
Assumption
Who-to-call list
.
You are working as HelpDesk Support for an organization where your u.docxkenjordan97598
You are working as HelpDesk Support for an organization where your usual duty involves providing remote users with various IT related supports. The majority of these users are placed in locations where high-speed LAN (10Mbpds) are not available. Assume they are using the Darwin VM at their end, and you have Canberra VM at your end. Now you will have to set up a Remote Desktop Connection from Canberra to Darwin; so that you, with the physical access to Canberra VM, can remotely connect to Darwin VM. You also have to ensure the connection is optimized for low-speed broadband networks. Follow the submission format and before starting this task ensure VMs can ping each other
.
You are working as an APRN in your local primary care office. Th.docxkenjordan97598
You are working as an APRN in your local primary care office. The rural town of Maynard has 300 people, a post office, doctor’s office, and a gas station. The primary source of income is farming or driving 45 minutes to a somewhat larger town. With the blizzard coming, all your patients except two have cancelled for the morning. Jose is scheduled at 0900; he is a nine-year-old Hispanic male born in Mexico. He and his family (Mom, Dad, and six siblings, ages six months to 14 years) moved into the area just a few months ago. Jose’s mother reported that he had nearly died at two months after contracting pertussis.
Your final patient of the morning is Irena, a 15-year-old teenage female who lives with her aunt in Maynard. Irena is Romanian and barely speaks any English. Her aunt has been your patient for the past few years, and she told you that Irena had been abducted in Romania at the age of 10. Irena’s parents found her quite by accident when a sex trafficking ring dumped all their “product” in a refugee camp in Serbia just a few months ago. Irena’s parents are still in Romania, but they sent Irena here to live with her aunt.
Having discussed many guidelines throughout this term, consider the content you have explored. Using this knowledge, answer the following questions related to your chosen scenario. Note: please try to choose a topic for your initial post that you did not choose previously during the semester or aren’t as familiar with so you can gain additional knowledge as we finish up this course
Discuss the guidelines assigned with your scenario.
Will both patients be treated in the same manner? Why or why not?
What would your treatment plan be for each of the individuals in your scenario?
Please include at least three scholarly sources within your initial post.
.
You are the new Public Information Officer (PIO) assigned by the.docxkenjordan97598
You are the new Public Information Officer (PIO) assigned by the Chief of Police. You work for a mid-sized metropolitan police agency that has always relied on the utilization of a city information officer for any media or public communication. Until now, your agency never had an assigned public information officer specifically for the police department. Your agency is growing and is expected to add an additional 25 patrol officers in the next two years.
These added officer positions are in addition to a newly created Federal Task Force, where two new detective positions were added. These positions will create a larger budget for the police department and you have been informed that taxpayers are not necessarily receptive to these costs. As the new PIO, you are required to submit a written communication plan to the Chief of Police detailing how you would draft public notification of the departmental growth and change, reassignments of patrol areas, and overall agency changes occurring in relation to these positions.
Write
a 1,400- to 1,750-word paper that addresses the following:
Describe the genre of communication you would use such as a paper format, social media, public announcement, press release, or a televised media conference.
If increased social media, such as Facebook and Twitter, required for the departmental growth.
How far ahead of these positions being hired would you relay the message?
What do you do with citizens who communicate an opposition the hiring of additional officer causing extra taxes?
Who are your stakeholders in this public notice?
What are the differing concerns of internal communication versus external communication on this issue?
How often would you follow up on the notification? Quarterly, monthly, or annually?
Cite
at least one source other than the textbook.
Format
your paper in proper APA format.
.
You are welcome to go to the San Diego Zoo any time you would li.docxkenjordan97598
You are welcome to go to the San Diego Zoo any time you would like to work on your project. However, you would have to pay for a student ticket or buy a membership. However, I will make an announcement soon about a couple of dates where we get in for a discounted price if we enter as a class. Once inside, you can go off on your own to work on your projects.
1. First, make note of the day(s) you attended the San Diego Zoo, the time you spent there (specific hours), and the weather conditions.
2. Select a
total of 5 primates
from the following list to observe. Please note: not all of these primates will be on display all of the time. You do not need to choose one from each group...you can focus on ANY five species.
3. Focusing on the 5 primates you have selected, note the following aspects about each of them.
Scientific name & common name
Where the species is found at the SD Zoo (Monkey Trail, etc.)
Taxonomic category (prosimian, NW monkey, OW monkey, or ape)
Geographic location
Diet
Dental formula
Sexual dimorphism
Locomotor style
Type of nose
Body size
Any unusual features
Endangered status
4.
Focusing on the 5 primates you have selected, describe and analyze the primates’ behaviors you witnessed during your visit. This is the part you should spend the most time on!!
5. Finally, you should note what you personally gained from the experience, and what your attitude is regarding the Zoo and the care of the animals.
Request
Weather, time, and date of visit
Bullet point answers for 5 primate species (2 points per species)
Analysis of behaviors observed...why are the animals doing what they're doing (5 points per species)
Concluding thoughts of the zoo and the project
.
You are visiting one of your organization’s plants in a poor nation..docxkenjordan97598
You are visiting one of your organization’s plants in a poor nation. You discover a young girl (under the age of 16) is working on the factory floor. The company has a strict prohibition on child labor. You remind the plant manager of the policy and insist that she should go back to the local school. The plant manager tells you the girl is an orphan, has no other means of support, and the country has no social services to provide for her. As the executive, what should you do? Explain your answer with a well-constructed and cogent response.
.
You are to write a four-page (typed, double-spaced) essay addressing.docxkenjordan97598
You are to write a four-page (typed, double-spaced) essay addressing the following question. The exam is open-book, open notes.
Discuss the impact of geography on the civilizations of Mesopotamia, Egypt, Greece, China, sub-Saharan Africa, and pre-Colombian America
(please write on a doc. and do please make sure give me on time)
.
You are to write a 7-page Biographical Research Paper of St Franci.docxkenjordan97598
You are to write a 7-page Biographical Research Paper of
St Francis of Assisi or St Clare
:
*Include a Title Page (not counted as one of the 7 pages)
*Include a “Sources Cited” page (not counted as one of the 7 pages)
*MLA Format or Professor approved format
Use the following Outline: (St Francis of Assisi or St Clare)
I. The Major Events of their life
II. Their Impact on society and the church in their lifetime
III. Their Legacy today…how they still inspire us
IV. Your personal reflections
.
You are to write a 1050 to 1750 word literature review (in a.docxkenjordan97598
You are to write a
1050 to 1750 word literature review
(in addition to the title page and references page) on the articles you selected for Week 2, synthesizing the findings in the articles that you found on your topic. You may incorporate other articles or references to support your discussion, as needed. Use APA citation and reference guidelines.
What is a literature review?
A literature review is a synthesis and critique of the published research in a given area of research. Your focus is on the findings of the studies you are exploring – their methods, approach, results, and implications – rather than the broad topic overall. It should synthesize findings in specific areas. Thus, you should look for themes in the range of articles and write about them as you group common themes.
Synthesize the material you found. In other words, find connected themes in the different areas you cover. Occasionally you might discuss individual articles, but only if the article is very unique and no other article has similar findings. The synthesis should focus strictly on existing, published research.
What else should you include besides a synthesis of research?
Be sure to include in your review other potential areas that still need to be explored. What unanswered questions are there? What holes are in the research that you have not yet found answers to? What contradictions are in the research will you seek to explore?
Examples of Synthesized Findings for Literature Review:
College students were found to have a large number of conflicts with roommates (Darsey, 2003; Smith, 2001; Yarmouth, 2005). Researchers also found that roommate conflicts were most frequent during the first semester of college (Lotspiech, 2004; Nominskee, 2001; Zackarov, 2000). Morissey (2004) found a reduction of roommate conflicts continued as students progressed from freshman to seniors, with seniors having the fewest roommate conflicts. However, Ellensworth (2001) found no correlation with year in school and frequency of roommate conflict. The contradiction between Ellensworth’s and Morissey’s findings suggest that additional research is needed in this area.
Ellensworth’s (2001) research was strictly quantitative, lacking a full picture of the contexts or reasons for the specific conflicts. It asked people to mark the frequency of their conflicts and types of people with whom they typically disputed. Morissey (2004) conducted interviews that allowed participants to provide an explanation for the reasons for the conflicts, and the contexts (dorm roommates, apartment roommates, house roommates, etc.). However, she interviewed far fewer people than Ellensworth surveyed.
Combining Ellensworth’s surveys with Morissey’s interview questions and utilizing a research team to increase the number of interviews could provide more details about the conflicts and contexts, and allow us to further look into the question of year in school and conflict behavior.
DeSoto (2005) and Craig (2.
You are to take the uploaded assignment and edit it. The title shoul.docxkenjordan97598
You are to take the uploaded assignment and edit it. The title should be changed for better clarification, something like SCHOOL DISTRICTS TRAINING THEIR TEACHERS WHO ARE ALREADY IN SERVICE.
Include more expressions of how these children have been failed in the past.
Change up wording and use stronger and more concise word choices.
AGAIN ALL THIS WILL BE DONE FROM OFF THE ASSIGNMENT THAT'S BEEN UPLOADED.
.
You are to use a topic for the question you chose.WORD REQUIRE.docxkenjordan97598
You are to use a topic for the question you chose.
WORD REQUIREMENT IS 300 Words
1. Jean Jacque Rousseau was a Frenchman who wrote the Rights of Man. After viewing the film on the French Revolution, how much of the Rights of Man were followed, especially during the Reign of Terror? Give examples.
2. This week, we read about liberalism and conservatism, two terms that are by no means new to use today. Per your readings discuss the premise of liberalism. Has this ideology changed over time? Can we see elements of this in today’s society? Examples.
3. Per your readings this week, discuss the views of conservatism. Has this ideology changed over time? Do we see some elements of this in today’s society? Examples.
4. Doyle discusses the reasons for the French Revolution. In your mind, which do you believe is the most important and why. Examples.
5. Discuss the issues that led to the American Revolution. Example.
6. Prior to its revolution, Haiti was one of the wealthiest colonies in the world. The French reaped those rewards. So what happened? Why a revolution? Why a violent revolution? Give examples.
7. Discuss Polverel’s interpretation of the French giving Haitian slave emancipation and discuss what he hoped to accomplish. Examples.
8. Agriculture Revolution had a great impact on European society, it has many great accomplishments but there were a few downfalls. Discuss these downfalls. Examples.
9. There was a change in Dynasties in China, the Manchu’s came to power. Discuss the organization of the Manchu Dynasty. Was this effective? Examples.
10. Discuss the foreign relations of the Chinese Empire with its European counter parts. Discuss whether or not this experience was positive or negative. Give examples.
11. Discuss the most important issue that was the foundation for the 1848 Revolutions. Examples.
.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
The simplified electron and muon model, Oscillating Spacetime: The Foundation...RitikBhardwaj56
Discover the Simplified Electron and Muon Model: A New Wave-Based Approach to Understanding Particles delves into a groundbreaking theory that presents electrons and muons as rotating soliton waves within oscillating spacetime. Geared towards students, researchers, and science buffs, this book breaks down complex ideas into simple explanations. It covers topics such as electron waves, temporal dynamics, and the implications of this model on particle physics. With clear illustrations and easy-to-follow explanations, readers will gain a new outlook on the universe's fundamental nature.
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.
How to Manage Your Lost Opportunities in Odoo 17 CRMCeline George
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...PECB
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Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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Executive Directors Chat Leveraging AI for Diversity, Equity, and InclusionTechSoup
Let’s explore the intersection of technology and equity in the final session of our DEI series. Discover how AI tools, like ChatGPT, can be used to support and enhance your nonprofit's DEI initiatives. Participants will gain insights into practical AI applications and get tips for leveraging technology to advance their DEI goals.
2. • With such an interval, we will then be able to say with 90%,
95%
or 99% confidence that the true population estimate will lie in
these bounds.
Introduction
3
The eight confidence interval formulas we will discuss are for
the following situations:
1. Average or mean based on large samples
2. Average or mean based on small samples
3. Response rate or survey percent based on large samples
4. Response rate or survey percent based on small samples
5. Difference between 2 averages for large samples
6. Difference between 2 averages for small samples
7. Difference between 2 response rates for large samples
8. Difference between 2 response rates for small sample
Confidence Intervals
3. A-B Split Tests
4
1. Confidence Interval for Averages or Means Based on
Large Samples (n ≥ 30)
To calculate a confidence interval around a mean, the following
information is required:
– The sample mean x obtained from the test.
– The sample standard deviation S obtained from the test.
Many software packages, including Microsoft ExcelTM, can
automatically calculate this value for you. (Review Section 3
for the
standard deviation formula.)
– The sample size n of the test.
This is the number of observations used to calculate your mean.
The
sample size must be greater than or equal to 30 in size.
– The desired confidence level: 90%, 95% or 99%.
A confidence interval constructed around the mean will
guarantee, with
your specified level of confidence, the true mean will fall
within those
4. bounds.
Sample Means
(Large Sample)
5
• Once all information is known, you construct the confidence
interval around the mean by adding and subtracting from the
mean a multiple of your standard deviation associated with the
sample mean. The “multiple” depends on your desired
confidence level.
• The formula for a confidence interval around the mean is
calculated as follows:
Where:
• S is the standard deviation associated with the sample.
• n is the sample size.
• Z is equal to 1.645, 1.96 or 2.575 for a 90%, 95% or 99%
confidence level
Sample Means
5. (Large Sample)
6
Example:
Money magazine conducts a survey of 100 retirees across the
US
and asks them how much they have in their retirement fund.
You obtain an average of $84.75 with a standard deviation of
$18.75, both in thousands of dollars.
You are about to write an article based on this average but
realize
that the true average is something more or less than this in
reality.
Construct a 95% confidence interval around this average.
Sample Means
(Large Sample)
7
7. 8
Later we will discuss how to chose the confidence level and
address if 95% was the appropriate level for this example.
Sample Means
(Large Sample)
9
• Let’s do the previous
example again but using
the Plan-alyzer.
1.
2.
3.
Sample Means
8. (Large Sample)
Select the tab “Table of
Calculators”
Select “Confidence
Interval Calculators for
Averages, Large Samples”
Select “One Sample”
10
Sample Means
(Large Sample)
Input the required info.
11
Sample Means
(Large Sample)
See the answer.
9. 12
2) Confidence Interval for Averages or Means Based on
Small Samples (n < 30)
To calculate a confidence interval around a mean, the following
information is required:
– The sample mean x obtained from the test.
– The sample standard deviation S obtained from the test.
Many software packages, including Microsoft ExcelTM, can
automatically calculate this value for you. (Review Section 3
for the
standard deviation formula.)
– The sample size n of the test.
This is the number of observations used to calculate your mean.
The
sample size must be greater than or equal to 30 in size.
– The desired confidence level: 90%, 95% or 99%.
A confidence interval constructed around the mean will
guarantee,
with your specified level of confidence, the true mean will fall
within
those bounds.
Sample Means
10. (Small Sample)
13
• Once all information is known, you construct the confidence
interval around the mean by adding and subtracting from the
mean a multiple of your standard deviation associated with the
sample mean. The “multiple” depends on your desired
confidence level.
• The formula for a confidence interval around the mean is
the same as the prior formula except we use a value from the
“t-distribution” which is for approximate normally distributed
data:
Where:
• S is the standard deviation associated with the sample.
• n is the sample size.
• t is obtained by using the excel function TINV as will be seen
shortly.
Sample Means
(Small Sample)
14
11. Example:
Suppose Money Magazine only conducted the survey to a
sample
of 10 retirees instead of 100 as in our prior example, all else the
same.
Construct a 95% confidence interval around this average.
Sample Means
(Small Sample)
15
We construct the confidence interval as before except we will
use
The t-distribution.
84.75 ± (t) (18.75/√10 )
Where the value of t = TINV(.05,9)
= 2.262
84.75 ± (2.262) (18.75/3.1623)
12. 84.75 ± (2.262) (5.93)
84.75 ± 13.41
($71.34, $98.16)
(Small Sample)
(1-conf
level)
(n-1)
Sample Means
16
Note our confidence interval is wider for two reasons:
1. The smaller sample size
1. Our sample is less than 30 we cannot assume it is normal but
only approximately normal so our multiplier is larger (2.262
versus 1.96).
Sample Means
(Small Sample)
13. 17
• Let’s do the previous
example again but using
the Plan-alyzer.
1.
2.
3.
Sample Means
(Small Sample)
Select the tab “Table of
Calculators”
Select “Confidence
Interval Calculators for
Averages, Small Samples”
Select “One Sample”
14. 18
Sample Means
(Small Sample)
Input the required info.
19
Sample Means
(Small Sample)
See the answer.
20
3. Confidence Intervals for Response Rates or Survey
Percentages Based on Large Samples (where n*p and
n*(1 - p) are both ≥ 5)
To calculate a confidence interval around a sample proportion,
the
following information is required.
– The sample proportion p obtained from the test.
15. – The sample size n of the test.
This is the number of observations used to calculate your
proportion.
The sample size, when multiplied by the sample proportion and
when
multiplied by one minus the sample proportion, must both be
greater
than or equal to 5.
– The desired confidence level: 90%, 95% or 99%.
A confidence interval constructed around the sample proportion
will
guarantee, with your specified level of confidence, the true
population
proportion will fall within those bounds.
Sample Proportions
(Large Sample)
21
• Once all information is known, you construct the confidence
interval around the sample proportion by adding and subtracting
from the sample proportion a multiple of the standard deviation
associated with the sample proportion. The “multiple” depends
on your desired confidence level.
• The formula for a confidence interval around the sample
proportion is calculated as follows:
16. • Where n is your sample size and Z is 1.645, 1.96, 2.575 for a
90%, 95% or 99% confidence interval
This is the standard deviation for a
proportion or response rate
Sample Proportions
(Large Sample)
22
Example:
AT&T samples a new prospect list and sends them an offer to
order their new wireless cellular service.
They sample 10,000 prospects and receive a 0.89% response
rate.
What is the margin of error at 90% confidence?
Sample Proportions
(Large Sample)
17. 23
• So, for our example we have the confidence interval is:
= .0089 ± (1.645)·√ (.0089)(1- .0089 )/10,000
= .0089 ± (1.645)·√ (.0089)(.9911 )/10,000
= .0089 ± (1.645)·√ 10000008
= .0089 ± (1.645)·(.0008944)
= .0089 ± .0015
(.0074, .0104) or (.74%, 1.04%)
Sample Proportions
(Large Sample)
0.0089 1.645*(√[(0.0089)*(0.9911)/10,000]
0.0089 1.645*(√0.0000008)
0.0089 1.645*(0.0008944)
0.0089 .0015
18. (0.0074 , 0.0104) or (0.74% , 1.04%)
1.
2.
3.
4.
5.
24
• Let’s do the previous
19. example again but using
the Plan-alyzer.
1.
2.
3.
Sample Proportions
(Large Sample)
Select the tab “Table of
Calculators”
Select “Confidence
Interval Calculators for
Percentages, Large
Samples”
Select “One Sample”
25
Sample Proportion
20. (Large Sample)
Input the required info.
26
Sample Proportion
(Large Sample)
See the answer.
27
4. Confidence Intervals for Response Rates or Survey
Percentages Based on Small Samples (where either n*p or
n*(1 - p) are < 5)
To calculate a confidence interval around a sample proportion,
the
following information is required:
– The sample proportion p obtained from the test.
– The sample size n of the test.
This is the number of observations used to calculate your
proportion.
21. The sample size, when multiplied by the sample proportion and
when
multiplied by one minus the sample proportion, must both be
greater
than or equal to 5.
– The desired confidence level: 90%, 95% or 99%.
A confidence interval constructed around the sample proportion
will
guarantee, with your specified level of confidence, the true
population
proportion will fall within those bounds.
Sample Proportions
(Small Sample)
28
• Once all information is known, you construct the confidence
interval around the sample proportion by adding and subtracting
from the sample proportion a multiple of the standard deviation
associated with the sample proportion. The “multiple” depends
on your desired confidence level.
• The formula for a confidence interval around the sample
proportion is the same as the prior formula except we use a
value from the “t-distribution” which is for approximate
normally
distributed data:
22. • Where n is your sample size and t is obtained by using the
Excel function TINV as will be seen shortly.
This is the standard deviation for a
proportion or response rate
Sample Proportions
(Small Sample)
29
Example:
Suppose AT&T only sampled 100 prospects instead of 10,000 as
in our previous example, all else the same.
What is the margin of error at 90% confidence?
Sample Proportions
(Small Sample)
30
23. We construct the confidence interval as before except we will
use
the t-distribution.
- .0089 )/100
Where the value of t = TINV(.10,99)
= 1.66
= .0089 ± (1.66)·√(.0089)(.9911 )/100
= .0089 ± (1.66)·√ .0000882
= .0089 ± (1.66)·(.0093914)
= (0.00, 0.0245) or (0.00%, 2.45%)
The lower bound here cannot be negative, so we change it to
zero.
Sample Proportions
(Small Sample)
(1-conf
level)
(n-1)
24. 31
• Let’s do the previous
example again but using
the Plan-alyzer.
1.
2.
3.
Sample Proportions
(Small Sample)
Select the tab “Table of
Calculators”
Select “Confidence
Interval Calculators for
Percentages, Small
Samples”
Select “One Sample”
25. 32
Sample Proportions
(Small Sample)
Input the required info.
33
See the answer.
Sample Proportions
(Small Sample)
34
5. Confidence Interval for the Difference between 2 Means or
Averages for Large Samples (n1 ≥ 30 and n2 ≥ 30 )
To calculate a confidence interval around the difference
between
two sample means, the following information is required:
– The means of both samples (x1 and x2).
26. – The standard deviation of both samples (S1 and S2).
Many software packages, including Microsoft ExcelTM, can
automatically calculate these values.
– The size of both samples (n1 and n2).
These are the number of observations that went into calculating
each
of your means. Both sample sizes n1 and n2 must be greater
than or
equal to 30 in size.
– The desired confidence level: 90%, 95% or 99%.
A confidence interval constructed around the sample proportion
will
guarantee, with your specified level of confidence, the true
population
proportion will fall within those bounds.
•
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Samples Means – Large Samples)
35
• Once all information is known, you construct the confidence
interval around the difference between two mean by adding and
subtracting from the difference in means a multiple of the
27. standard deviation associated with the difference. The
“multiple” depends on your desired confidence level.
• The formula for a confidence interval around the difference
between means is calculated as follows:
• Where Z is 1.645, 1.96, 2.575 for a 90%, 95% or 99%
confidence interval.
This is the standard deviation for the
difference in averages.
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Means – Large Samples)
(X1 – X2) ± (Z)(√(S1
2 /n1) + (S2
2 /n2))
36
Example:
28. You sample 100 home sales in San Francisco and 100 home
sales
in NYC for 2010 with the following results:
NSF = 100 XSF = $745.25 SSF = $40
NNYC = 100 XNYC = $775.10 SNYC = $45
Is there any difference in home prices between NYC and San
Francisco? Base your answer on the 95% confidence level.
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Means – Large Samples)
37
• Assume SSF = $40 and SNYC = $45
(775.10 – 745.25) ± (1.96)·√ [(402/100)+(452/100)]
29.85 ± (1.96)·√ 16 + 20.25
29.85 ± (1.96)·√ 36.25
29.85 ± (1.96)·(6.021)
29.85 ± 11.80
29. ($18,050, $41,650)
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Means – Large Samples)
1.
2.
3.
4.
5.
(775.10-745.25) 1.96*(√[(402/100)+(452/100 )])
29.85 1.96*(√(16+20.25))
29.85 1.96*(6.021)
30. 29.85 11.80
($18.050 , $41.650)
38
How do we interpret?
• What if the interval was -$18,050 to $41,540. How would you
interpret and is it okay in this case to have a negative value?
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Means – Large Samples)
– With 95% confidence, we can say that NYC home prices in
2010 are higher than SF home prices by anywhere from
$18,050 to $41,540.
– If Zero were in the interval then you would say no
31. difference between the two (a hypothesis test!!).
– It means there's no statistical evidence to conclude that
NYC prices are different from those of SF.
– Its ok to have a negative value.
39
• Let’s do the previous
example again but using
the Plan-alyzer.
1.
2.
3.
Select the tab “Table of
Calculators”
Select “Confidence
Interval Calculators for
Averages, Large Samples”
32. Select “Test vs. Control”
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Means – Large Samples)
40
Input the required info.
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Means – Large Samples)
41
See the answer.
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Means – Large Samples)
42
6. Confidence Interval for the Difference between 2 Means or
Averages for Small Samples (n1 < 30 or n2 < 30).
– If one or both samples is less than 30 in size then you will
33. replace the Z value with the t value.
– You will again use the TINV function in excel.
– Your parameters are TINV(1- confidence level, n1+n2 - 2).
– All else the same.
– This will be used for small market research problems.
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Means – Small Samples)
43
7. Confidence Intervals for the Difference Between 2
Percentages for Large Samples (n1*p1, n1*(1-p1), n2*p2,
n2*(1-p2), all ≥ 5)
To calculate a confidence interval around the difference
between
two sample proportions, the following information is required:
– The proportions (p1 and p2) for both samples.
– The size of both samples (n1 and n2).
These are the number of observations used in calculating each
of the
34. sample proportions. Both sample sizes, when multiplied by
their
respective sample proportions and when multiplied by one
minus their
respective sample proportions, must all be greater than or equal
to 5.
– The desired confidence level: 90%, 95% or 99%.
A confidence interval constructed around the sample proportion
will
guarantee, with your specified level of confidence, the true
population
proportion will fall within those bounds.
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Proportions – Large Samples)
44
• Once all information is known, you construct the confidence
interval around the difference between two proportions by
adding
and subtracting from the difference in proportions a multiple of
the
standard deviation associated with the difference. The
“multiple”
depends on your desired confidence level.
• The formula for a confidence interval around the difference
between proportions is calculated as follows:
35. • Where Z is 1.645, 1.96, 2.575 for a 90%, 95% or 99%
confidence
interval.
This is the standard deviation for the
difference in proportions.
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Proportions – Large Samples)
45
Example:
You are in charge of new card acquisitions at American
Express.
You conduct a new offer test for the green card versus your
control offer with the following results
Did the test beat the control with 95% confidence? Do you have
a
winner?
36. Sample Size Response Rate
Control Offer with 10,000 Bonus Miles 10,000 1.10%
Test Offer with 25,000 Bonus Miles 10,000 1.38%
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Proportions – Large Samples)
1.
2.
3.
4.
46
37. Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Proportions – Large Samples)
0.00297
0.000001 .0028
.0028
47
So how do we interpret?
• With 95% confidence the test can do worse than the control by
-.017%
OR do better than the control by .577%.
• As such we say the test and the control are not significantly
different
since the confidence interval wrapped around the difference in
response rates contains zero.
• Had the lower bound been above zero then we would say the
test has
beaten the control.
• But let’s be real here. For all purposes, the test is a winner.
The lower
bound is soooo close to zero. So worst case the test is the same
as
38. the control with much upside potential.
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Proportions – Large Samples)
48
So how do we interpret (continuation)?
• But remember just because the test beaten the control from a
statistical
point of view, that does not mean that it won from a marketing
point of
view.
• In this example we were giving away additional sky miles. So
the test
will need to beat the control by some minimum most likely
greater than
zero or else we will not generate the same revenue.
• Suppose I told you that based on the cost of the additional sky
miles
the test needs to beat the control by at least .025% to break-
even.
Would you consider it a winner?
• What if I told you the test needs to beat the control by .25% to
break
even. Would you now consider the test a winner?
39. Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Proportions – Large Samples)
49
• Let’s do the previous
example again but using
the Plan-alyzer.
1.
2.
3.
Select the tab “Table of
Calculators”
Select “Confidence
Interval Calculators for
Proportions, Large
Samples”
Select “Test vs. Control”
40. Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Proportions – Large Samples)
50
Input the required info.
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Proportions – Large Samples)
51
See the answer.
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Proportions – Large Samples)
52
8. Confidence Intervals for the Difference Between 2
Percentages for Small Samples (where n1*p1 or n1*(1-p1)
or n2*p2 or n2*(1-p2) < 5)
• You will replace the Z value with the t value.
41. • You will again use the TINV function in excel.
• Your parameters are TINV(1- confidence level, n1+n2 - 2).
• All else the same.
• This will be used for small market research problems.
Confidence Interval Estimation (A-B Split Testing)
(Difference Between Two Sample Proportions – Small Samples)
53
• Remember, interpretation of confidence intervals is not that
simple.
• They will not tell you what to do.
• They simply give you valid best and worst case scenarios to
take into consideration.
• They give you additional information upon which to help you
base your marketing decisions:
• Worst case, are the results meeting your criteria?
• How does the upside potential compare to the downside
42. potential?
Interpretation of Confidence Intervals
54
• No direct marketer should ever consider evaluating their test
results with a confidence level lower than 90%. To do so
assumes
way to much risk.
• And, fishing for a confidence level that yields significance
should
never be practiced.
• The rules that any good direct marketer should follow
regarding
significance are shown on the next slide.
Setting the Confidence Level
55
Evaluate your test response
rate at 95% confidence level
Significant?
43. Yes No
Is it significant at the 99%
confidence level?
Not that we want to go that
low but is it significant at the
90% confidence level?
Yes No Yes No
A no brainer.
Let’s roll!
That’s okay…at
a minimum let’s
consider a
partial to full
roll out.
Okay, so we
have something
here. Let’s
either retest or
44. go for a partial
rollout.
Not good. We
should scrape
this from further
consideration.
Setting the Confidence Level
56
It is important to keep in mind the following facts regarding the
creation of a confidence interval.
• If you want more confidence in your estimates, the resulting
interval
will widen.
• If you increase your sample size, the resulting interval will
become
tighter.
• The more accuracy you need in your test estimate, the higher
you
should set your confidence level.
45. • The confidence level you set should depend on the risk you
are
willing to take in making an incorrect decision.
Setting the Confidence Level
57
• If our sample represents a large percent (> 10%) of the
population in total,
then we typically apply a correction factor to our margin of
error estimates.
• The larger our sample is as a percent of the total population
the more valid
our estimates.
• Of the following two samples, which would you think would
yield a better
parameter estimate?
• A sample of size 5,000 from a population of size 10,000 in
total
• A sample of size 5,000 from a population of size 10,000,000
in total.
• If our sample represents 10% or more of the total population,
you
multiple the margin of error for the first four formulas by:
46. Finite Population Correction Factor
58
Example:
Going back to our first exercise, suppose the survey of 100
people
was conduct to the 800 residents of the Happy Retirement
Village and
not Money Magazine subscribers.
What is our correction factor and what is the new interval?
Finite Population Correction Factor
3.
1.
2.
3.4398
47. 59
7.1 Briefly explain how the width of a confidence interval
decreases
with an increase in the sample size. Give me an example.
7.2 Briefly explain how the width of a confidence interval
decreases
with a decrease in the confidence level. Give me an example.
7.3 According to a study done by Dr. Martha S. Linet and
others, the mean
duration of the recent headache was 8.2 hours for a sample of
5055
females aged 12 through 29. Assume that this sample
represents the
current population of all headaches for all females aged 12
through 29
and that the standard deviation for this sample is 2.4 hours.
Make a 95%
confidence interval for the mean duration of all headaches for
all 12-to-29-
year-old females. Do by hand and using The Plan-alyzer.
7.4 A sample of 12 observations was drawn from a population
of size 100.
Calculate a 95% confidence interval around the average for this
sample
by hand. HINT: You will want to use the finite population
correction factor for this
problem as found on slides 57 and 58.
48. 13 15 9 11 8 16 14 9 10 14
16 12
Section 7 Exercises
60
7.5 A company wants to estimate the mean net weight of its
“Big Top Circus”
cereal boxes. A sample of 16 such boxes produced the mean net
weight of
31.98 ounces with a standard deviation of .26 ounces. Make a
95%
confidence interval for the mean net weight of all boxes. Do by
hand and
using The Plan-alyzer.
7.6 Crate and Barrel Cataloger promises its customers that the
products
ordered will be mailed within 72 hours after an order is placed.
The quality
control department at the company checks from time to time to
see if this
promise is fulfilled. Recently, the quality control department
took a sample
49. of 50 orders and found that 42 of them were mailed within 72
hours of the
placement of the orders.
a) Construct a 95% confidence interval for the percentage of all
orders
that are mailed within 72 hours of their placement. Do by hand
and
using The Plan-alyzer.
b) Suppose the confidence interval obtained in part a is too
wide. How
can the width of this interval be reduced? Discuss all possible
alternatives. Which of these alternatives is the best?
Section 7 Exercises
61
7.7 In virtual reality a person views a computer-generated scene
that changes
as if the viewer’s body were in motion. Some individual
experience
unpleasant side effects from virtual reality, such as nausea,
dizziness, or
50. disorientation. In a recent study by Clare Tegan of Britain’s
Defense
Research Agency, each of the 150 people included in the study
spent 20
minutes wearing a head-mounted virtual reality system through
which he
or she explored a virtual environment consisting of a series of
rooms.
Either during their time in the virtual environment or in the 10
minutes
immediately afterward, 61% of these 150 persons suffered side
effects.
Find the 95% confidence interval for the proportion of all
virtual reality
users who would suffer side effects. Do by hand and using The
Plan-
alyzer.
Section 7 Exercises
62
7.8 One of the major problems faced by department stores is a
high
51. percentage of returns. The manager of Macy’s wanted to
estimate the
percentage of all sales that result in returns. A sample of 40
sales showed
that 8 of them had products returned within the time allowed for
returns.
a) Construct a 99% confidence interval for the percentage of all
sales
that result in returns. Do by hand and using The Plan-alyzer.
b) Do you think 99% confidence is appropriate in this case and
if not
what would be a more appropriate level of confidence to use?
7.9 According to a survey, the mean price of gasoline in the
U.S. was
$1.20 per gallon in 1995 and $1.10 per gallon in 1994 (Wow,
don’t you
wish!) Suppose these means were based on random samples of
100
gas station for 1995 and 120 gas station for 1994. Also, assume
that
the sample standard deviations were $.11 for 1995 and $.10 for
1994.
Find a 90% confidence interval for the difference between the
52. mean
gasoline prices for 1995 and 1994. Do by hand and using The
Plan-
alyzer.
Section 7 Exercises
63
7.10 An insurance company wants to know if the average speed
at which men
drive cars is higher than that of women drivers. The company
took a
random sample of 27 cars driven by men on a highway and
found the
mean speed to be 68 miles per hour with a standard deviation of
2.2 miles.
Another sample of 18 cars driven by women on the same
highway gave a
mean speed of 65 miles per hour with a standard deviation of
2.5 miles.
Assume that the speeds at which all men and all women drive
cars on this
highway are both known to be normally distributed. Construct a
99%
53. confidence interval for the difference between the mean speeds
of cars
driven by all men and all women drivers on this highway. Do
by hand and
using The Plan-alyer.
Section 7 Exercises
64
7.11 Removed.
7.12 In a Prevention magazine survey released in 2008,
Princeton Survey
Research Association examined the weight of children aged 3 to
17.
According to this study, 24% of children in this age group were
overweight in 2000, and 31% were considered overweight in
2008.
Suppose that these percentages are based on random samples of
400
54. and 500 children in the given age group in 2000 and 2008,
respectively.
Conduct a 95% confidence interval for the difference between
the
portions of the overweight 3-to-17-year-olds in 2000 and 2008.
Do by
hand and using The Plan-alyzer.
Section 7 Exercises
Number of sources: 7
Topic: Should all states require motorcyclist and passengers to
wear helmets?
Type of document: Research Paper: THIS IS A RESEARCH
PAPER!!
Academic Level:Undergraduate
Number of Pages: 9 (Double Spaced)
Category: English
Language Style: English (U.S.)
Writing Style: APA
Order Instructions:
Should all states require motorcyclist and passengers to wear
helmets?
• Using your thesis statement and research, present the problem
that needs to be addressed with your proposed solution. Note:
Your solution, advantages, and challenges, will be in Parts 2
and 3.
Write a three to four (3-4) page paper in which you: 3 PAGES
NEEDED
55. 1. Provide an appropriate title and an interesting opening
paragraph to appeal to your stated audience (appeal with logic,
ethics, or emotion).
2. Include a defensible, relevant thesis statement in the first
paragraph. (Revised from Assignment 2; Check below)
3. Describe the history and status of the issue and provide an
overview of the problem(s) that need to be addressed. This
should be one or two (1or 2) paragraphs.
4. Explain the first problem (economic, social, political,
environmental, complexity, inequity, ethical/moral, etc.) and
provide support for your claims. This should be one or two (1 or
2) paragraphs.
5. Explain the second problem (economic, social, political,
environmental, complexity, inequity, ethical/moral, etc.). and
provide support for your claims. This should be one or two (1 or
2) paragraphs.
6. Explain the third problem (economic, social, political,
environmental, complexity, inequity, ethical/moral, etc.) and
provide support for your claims. This should be one or two (1 or
2) paragraphs.
7. Provide a concluding paragraph that summarizes the stated
problems and promises a solution.
8. Develop a coherently structured paper with an introduction,
body, and conclusion.
9. Use effective transitional words, phrases, and sentences
throughout the paper.
10. Support claims with at least three (3) quality, relevant
references. Use credible, academic sources available through
Strayer University’s Resource Center.
Your assignment must follow these formatting guidelines:
• Be typed, double spaced, using Times New Roman font (size
12), with one-inch margins on all sides; citations and references
must follow APA or school-specific format. Check with your
professor for any additional instructions.
• Include a cover page containing the title of the assignment, the
student’s name, the professor’s name, the course title, and the
56. date. The cover page and the reference page are not included in
the required assignment page length.
• Note: Submit your assignment to Connect Composition Plus
and to the designated plagiarism program so that you can make
revisions before submitting your paper to your professor.
The specific course learning outcomes associated with this
assignment are:
• Recognize the elements and correct use of a thesis statement.
• Recognize the use of summary, paraphrasing, and quotation to
communicate the main points of a text.
• Analyze the rhetorical strategies of ethos, pathos, logos in
writing samples and for incorporation into essays or
presentations.
• Prepare a research project that supports an argument with
structure and format appropriate to the genre.
• Recognize how to organize ideas with transitional words,
phrases, and sentences.
• Incorporate relevant, properly documented sources to
substantiate ideas.
• Write clearly and concisely about selected topics using proper
writing mechanics.
• Use technology and information resources to research selected
issues for this course.
• Write a six to eight (6-8) page paper in which you: 6 PAGES
NEEDED
Provide Part I: Revision of A Problem Exists (3-4 pages)
1. Revise, using feedback from the professor and classmates,
your Persuasive Paper Part I: A Problem Exists.
Develop Part 2:
Solution
57. to Problem and Advantages (3-4 pages for 6-8 pages total)
2. Include a defensible, relevant thesis statement clearly in the
first paragraph. (The thesis statement may need to be modified
to reflect added information and purpose of this part.)
3. Explain a detailed, viable solution that supports your thesis.
This should be one or two (1-2) paragraphs.
4. State, explain, and support the first advantage (economic,
social, political, environmental, social, equitable, ethical/moral,
etc.) to your solution. This should be one or two (1-2)
paragraphs.
5. State, explain, and support the second advantage (economic,
social, political, environmental, social, equitable, ethical/moral,
etc.) to your solution. This should be one or two (1-2)
paragraphs.
6. State, explain, and support the third (and fourth if desired)
advantage (economic, social, political, environmental, social,
equitable, ethical/moral, etc.) to your solution. This should be
one or two (1-2) paragraphs.
7. Use effective transitional words, phrases, and sentences.
8. Provide a concluding paragraph / transitional paragraph that
summarizes the proposed solution and its advantages.
9. Develop a coherently structured paper with an introduction,
body, and conclusion.
10. Use one (1) or more rhetorical strategies (ethos, logos,
pathos) to explain advantages.
58. 11. Support advantage claims with at least three (3) additional
quality relevant references. Use at least six (6) total for Parts 1
and 2.
Your assignment must follow these formatting guidelines:
• Be typed, double spaced, using Times New Roman font (size
12), with one-inch margins on all sides; citations and references
must follow APA or school-specific format. Check with your
professor for any additional instructions.
• Include a cover page containing the title of the assignment, the
student’s name, the professor’s name, the course title, and the
date. The cover page and the reference page are not included in
the required assignment page length.
• Note: Submit your assignment to Connect Composition Plus
and to the designated plagiarism program so that you can make
revisions before submitting your paper to your professor.
ASSIGNMENT TWO OUTLINE:
Assignment 2: Research Proposal – Thesis, Major Points, and
Plan
Due Week 3 and worth 80 points
Select a topic on which your persuasive writing paper will be
focused.
59. Write a one to two (1-2) page research proposal in which you:
Identify the topic you selected and explain two (2) reasons for
using it.
Include a defensible, relevant thesis statement in the first
paragraph.
Describe three (3) major characteristics of your audience
(official position, decision-making power, current view on
topic, other important characteristic).
Describe the paper’s scope and outline the major sections.
Identify and explain the questions to be answered.
Explain your research plan, including the methods of
researching and organizing research.
Develop a coherently structured paper with an introduction,
body, and conclusion.
Document at least three (3) primary sources and three (3)
secondary sources. Use credible, academic sources available
through Strayer University’s Resource Center.
Your assignment must follow these formatting guidelines:
Be typed, double spaced, using Times New Roman font (size
12), with one-inch margins on all sides; references must follow
APA or school-specific format. Check with your professor for
any additional instructions.
60. Include a cover page containing the title of the assignment, the
student’s name, the professor’s name, the course title, and the
date. The cover page and the reference page are not included in
the required page length.
The specific course learning outcomes associated with this
assignment are:
Recognize the elements and correct use of a thesis statement.
Write a research proposal that states the claim and scope of the
research project.
Outline the main sections of the research project.
Devise an ordered research plan to obtain appropriate resources.
Write clearly and concisely about selected topics using proper
writing mechanics.
Use technology and information resources to research selected
issues for this course.