This document provides guidance on designing a study to measure disease prevalence. It outlines five key steps: 1) defining study objectives, 2) designating a sampling strategy, 3) preparing data collection tools, 4) data management, and 5) data analysis and reporting. Important considerations for sampling strategy include determining eligibility criteria, constructing a sampling frame, and selecting an appropriate sampling method such as simple random sampling. Sample size is determined based on desired precision, expected prevalence, and confidence level. Statistical analyses are used to evaluate results by testing hypotheses and determining significance based on p-values.
This document discusses key factors to consider when determining sample size for research. It explains that sample size depends on population size, required confidence level, expected response rate, and other variables. Larger samples are needed when variables are numerous, differences are expected to be small, or subgroups will be analyzed. The standard error of the sample is used to calculate sampling error, which decreases as sample size increases. Both probability and non-probability sampling strategies are outlined. The document provides guidance on planning a sampling strategy that considers research questions, population characteristics, and feasibility of access to samples.
The document defines key concepts in sampling and summarizes different sampling methods. It discusses sampling as a procedure to select a subset of a population to make inferences about the whole population. Probability sampling methods like simple random sampling, systematic sampling, stratified sampling and cluster sampling are described. Non-probability sampling techniques such as convenience sampling, quota sampling, purposive sampling, and snowball sampling are also outlined.
This document discusses different sampling techniques used in research studies. It defines key terminology like target population, study population, and study sample. It also explains different types of sampling methods including probability sampling techniques like simple random sampling, systematic random sampling, stratified random sampling, cluster sampling, and multi-stage sampling. For each technique, it provides steps for how to select a sample and examples to illustrate the method. The advantages and disadvantages of different sampling approaches are also briefly covered.
The document discusses sampling methods and statistical inference. It defines key terms like population, sample, sampling frame. It describes different sampling techniques including random sampling methods like simple random sampling and systematic sampling. It also covers non-random sampling techniques like quota sampling and convenience sampling. The minimum sample size is calculated using a standard formula. Statistical inference is defined as using a sample to make conclusions about the larger population. The key difference between a sample and population is also highlighted.
This document provides information on population and sampling concepts. It defines key terms like population, sample, parameter, statistic and discusses different sampling methods like random sampling (simple random sampling, stratified sampling, systematic sampling) and non-random sampling (judgment sampling, quota sampling, convenience sampling).
It also discusses the theory of estimation including point estimation and interval estimation. Qualities of a good estimator like unbiasedness, consistency and efficiency are explained. Hypothesis testing procedures including setting null and alternative hypotheses, test statistics, decision rules and types of errors are outlined. Common statistical tests like the z-test and its applications are described.
This document provides an overview of cross-sectional studies. It defines cross-sectional studies as studies that measure prevalence by observing exposures and outcomes in a population at a single point in time. It discusses key aspects of cross-sectional study design such as sampling, data collection methods, analysis of prevalence data, and potential biases like selection bias.
This document provides an overview of cross-sectional studies, including what they are, their uses, methodology, advantages, and disadvantages. A cross-sectional study involves observing a population at a single point in time to determine prevalence of disease. It is a quick and inexpensive way to describe characteristics of a population and identify associations between variables. However, it cannot determine causation due to its observational nature.
This document discusses key components and concepts of research methods. It covers:
1) Main components of research methods including study design, population, sampling, variables, data collection and analysis.
2) Probability and non-probability sampling techniques such as simple random sampling, stratified sampling, and cluster sampling.
3) Key terms related to sampling such as target population, study population, sampling unit, and sampling frame.
This document discusses key factors to consider when determining sample size for research. It explains that sample size depends on population size, required confidence level, expected response rate, and other variables. Larger samples are needed when variables are numerous, differences are expected to be small, or subgroups will be analyzed. The standard error of the sample is used to calculate sampling error, which decreases as sample size increases. Both probability and non-probability sampling strategies are outlined. The document provides guidance on planning a sampling strategy that considers research questions, population characteristics, and feasibility of access to samples.
The document defines key concepts in sampling and summarizes different sampling methods. It discusses sampling as a procedure to select a subset of a population to make inferences about the whole population. Probability sampling methods like simple random sampling, systematic sampling, stratified sampling and cluster sampling are described. Non-probability sampling techniques such as convenience sampling, quota sampling, purposive sampling, and snowball sampling are also outlined.
This document discusses different sampling techniques used in research studies. It defines key terminology like target population, study population, and study sample. It also explains different types of sampling methods including probability sampling techniques like simple random sampling, systematic random sampling, stratified random sampling, cluster sampling, and multi-stage sampling. For each technique, it provides steps for how to select a sample and examples to illustrate the method. The advantages and disadvantages of different sampling approaches are also briefly covered.
The document discusses sampling methods and statistical inference. It defines key terms like population, sample, sampling frame. It describes different sampling techniques including random sampling methods like simple random sampling and systematic sampling. It also covers non-random sampling techniques like quota sampling and convenience sampling. The minimum sample size is calculated using a standard formula. Statistical inference is defined as using a sample to make conclusions about the larger population. The key difference between a sample and population is also highlighted.
This document provides information on population and sampling concepts. It defines key terms like population, sample, parameter, statistic and discusses different sampling methods like random sampling (simple random sampling, stratified sampling, systematic sampling) and non-random sampling (judgment sampling, quota sampling, convenience sampling).
It also discusses the theory of estimation including point estimation and interval estimation. Qualities of a good estimator like unbiasedness, consistency and efficiency are explained. Hypothesis testing procedures including setting null and alternative hypotheses, test statistics, decision rules and types of errors are outlined. Common statistical tests like the z-test and its applications are described.
This document provides an overview of cross-sectional studies. It defines cross-sectional studies as studies that measure prevalence by observing exposures and outcomes in a population at a single point in time. It discusses key aspects of cross-sectional study design such as sampling, data collection methods, analysis of prevalence data, and potential biases like selection bias.
This document provides an overview of cross-sectional studies, including what they are, their uses, methodology, advantages, and disadvantages. A cross-sectional study involves observing a population at a single point in time to determine prevalence of disease. It is a quick and inexpensive way to describe characteristics of a population and identify associations between variables. However, it cannot determine causation due to its observational nature.
This document discusses key components and concepts of research methods. It covers:
1) Main components of research methods including study design, population, sampling, variables, data collection and analysis.
2) Probability and non-probability sampling techniques such as simple random sampling, stratified sampling, and cluster sampling.
3) Key terms related to sampling such as target population, study population, sampling unit, and sampling frame.
This document discusses sampling animal populations. It explains that sampling involves studying a subset of a population rather than the entire population (a census) in order to obtain information about the population. There are two main types of sampling: probability sampling, where every unit has an equal chance of being selected, and non-probability sampling, where units are not randomly selected. Some common probability sampling methods described are simple random sampling, systematic random sampling, stratified random sampling, cluster sampling, and multistage sampling. The document outlines the advantages and disadvantages of different sampling methods.
This document discusses different sampling methods used in research. It begins by defining key terms like population, sample, sampling frame, and probability versus non-probability sampling. It then describes various probability sampling techniques in detail, including simple random sampling, systematic random sampling, stratified random sampling, and cluster random sampling. The document explains the steps for implementing each method and provides examples. It also notes advantages and disadvantages of sampling methods.
This document provides an overview of sampling and sampling variability. It defines key terms like population, sample, sampling, and sampling unit. It discusses the need for sampling due to limitations of complete enumeration. The main types of sampling designs covered are probability sampling methods like simple random sampling, stratified random sampling, systematic random sampling, cluster sampling, and multistage sampling as well as non-probability methods. Factors affecting sample size calculation and sampling variability are also outlined.
Sampling Design in Applied Marketing ResearchKelly Page
This document discusses key concepts in sampling design, including:
1. It defines key terms like population, sample, sampling frame, sampling error, and non-sampling error.
2. It outlines the steps in developing a sampling plan, including defining the population, choosing a data collection method, identifying the sampling frame, selecting a sampling method, determining sample size, and developing operational procedures.
3. It describes different sampling methods like probability and non-probability sampling, and provides examples of methods like simple random sampling, systematic sampling, and stratified sampling under probability sampling.
This document discusses various sampling techniques used in research. It begins by defining key terms like population, sample, and sampling unit. It then explains different probability sampling methods like simple random sampling, systematic sampling, stratified sampling, cluster sampling, and probability proportional to size sampling. For each method, it provides details on the procedure and highlights advantages and disadvantages. The document aims to help readers understand different sampling designs and how to select appropriate techniques for research studies.
This document discusses different sampling techniques used in research studies. It defines key sampling terms like population, sample, sampling frame, etc. It describes probability sampling techniques like simple random sampling, systematic random sampling, stratified random sampling and cluster sampling. It also discusses non-probability sampling techniques and provides examples. Multistage and multiphase sampling are explained. Sample size calculation and Lot quality assurance sampling are also summarized.
This document discusses sample design and the t-test. It covers the sample design process which includes defining the population, sample frame, sample size, and sampling procedure. It also discusses probability and non-probability sampling techniques. The document then explains what a t-test is and how it can be used to test for differences between two group means. It covers the assumptions, procedures, hypotheses, and interpretation of t-test results.
This document discusses various sampling methods used in research. It begins by defining key sampling terms like population, sample, sampling unit, and sampling frame. It then describes the main types of sampling: probability sampling methods which use random selection and allow statistical inference about the population, and non-probability sampling methods which do not use random selection. Specific probability methods discussed include simple random sampling, systematic random sampling, stratified random sampling, cluster sampling, and multistage sampling. Common non-probability methods mentioned are convenience sampling, purposive sampling, and snowball sampling. The document provides details on how to implement several of these sampling techniques and notes their relative advantages and limitations.
This document discusses sampling methods used in research. It outlines key concepts like population, sample, probability sampling, and non-probability sampling. Probability sampling methods like simple random sampling, systematic sampling, stratified sampling and cluster sampling are explained. Non-probability methods like convenience sampling, judgment sampling, and quota sampling are also outlined. Factors to consider for determining sample size and types of errors in sampling are discussed. The advantages and disadvantages of probability and non-probability sampling are compared.
This document provides an introduction to sampling methods for research. It discusses the differences between probability sampling (e.g. simple random sampling, stratified random sampling) and non-probability sampling (e.g. purposive sampling, convenience sampling, quota sampling). Probability sampling allows statistical inferences about the whole population by using random selection techniques. Non-probability sampling is often more convenient but does not allow for statistical generalization due to non-random selection. The document outlines various sampling techniques and provides examples to illustrate key concepts.
This presentation covers statistics, its importance, its applications, branches of statistics, basic concepts used in statistics, data sampling, types of sampling,types of data and collection of data.
1) A sample size of 50 health centers would allow estimating the proportion of health centers providing tuberculosis screening with a 10% margin of error at a 95% confidence level, assuming a proportion of 50%.
2) A sample size of 600 adults would allow estimating the prevalence of cough with a 2% margin of error, accounting for a design effect of 2 and 10% non-response rate.
3) A sample size of 500 small-scale industry workers and 1,000 medium-scale industry workers would allow detecting a risk ratio of 1.5 for work-related injuries between the two groups with 80% power and 5%
This document provides an overview of sampling theory and methods. It defines key terms like population, sample, parameter, statistic, and discusses reasons for sampling such as cost, time, and other limitations that prevent examining an entire population. It describes the basic concepts of probability and non-probability sampling. Specific probability sampling methods covered include simple random sampling and systematic sampling. The advantages and disadvantages of these methods are also discussed.
1. The document discusses key concepts in statistics including population, sampling, random sampling, standard error, and standard error of the mean.
2. A population is the total set of observations, while a sample is a subset selected from the population. Random sampling selects subjects entirely by chance so each member has an equal chance of being selected.
3. The standard error is the standard deviation of a statistic's sampling distribution and indicates how much a statistic may vary between samples. It decreases with larger sample sizes. The standard error of the mean specifically measures how much the sample mean may differ from the population mean.
PPT on Sample Size, Importance of Sample Size,Naveen K L
This document discusses factors related to determining sample size for research studies. It defines key terms like sample size, population and importance of sample size. The selection of sample size involves planning the study, specifying parameters, choosing an effect size, and computing the sample size based on those factors. Sample size is influenced by expected effect size, study power, heterogeneity, error risk, and other variables. Dropouts from the sample during a study also impact sample size calculations. Proper determination of sample size is important for obtaining meaningful results and conducting ethical research.
This document provides an overview of sampling and key sampling concepts. It defines population and sample, and describes different types of sampling including: probability sampling methods like simple random sampling, systematic random sampling, stratified random sampling, and cluster sampling. It also describes non-probability sampling methods like convenience sampling, quota sampling, and purposive sampling. The document discusses important sampling concepts like sampling frame, sampling error, and determining sample size. It provides examples and limitations of different sampling techniques.
The document discusses sampling methods and concepts. It defines key terms like population, sample, sampling frame and sampling error. It describes different types of sampling including probability sampling methods like simple random sampling, systematic random sampling and cluster sampling. It also discusses non-probability sampling and factors to consider in determining sample size. The document provides guidance on calculating sampling error and outlines principles of good sampling.
The document discusses sample size determination for clinical and epidemiological research. It explains that proper sample size is important for validity, accuracy, and reliability of research findings. Key factors to consider in sample size calculations include the study objective, details of the intervention, outcomes, covariates, research design, and study subjects. Precision analysis and power analysis are two common approaches, with power analysis being most suitable for studies aiming to detect an effect. The document provides formulas and examples for calculating sample sizes for comparative and descriptive studies with both continuous and dichotomous outcomes. It also discusses the concepts of type I and II errors and their relationship to statistical power.
This document discusses sampling animal populations. It explains that sampling involves studying a subset of a population rather than the entire population (a census) in order to obtain information about the population. There are two main types of sampling: probability sampling, where every unit has an equal chance of being selected, and non-probability sampling, where units are not randomly selected. Some common probability sampling methods described are simple random sampling, systematic random sampling, stratified random sampling, cluster sampling, and multistage sampling. The document outlines the advantages and disadvantages of different sampling methods.
This document discusses different sampling methods used in research. It begins by defining key terms like population, sample, sampling frame, and probability versus non-probability sampling. It then describes various probability sampling techniques in detail, including simple random sampling, systematic random sampling, stratified random sampling, and cluster random sampling. The document explains the steps for implementing each method and provides examples. It also notes advantages and disadvantages of sampling methods.
This document provides an overview of sampling and sampling variability. It defines key terms like population, sample, sampling, and sampling unit. It discusses the need for sampling due to limitations of complete enumeration. The main types of sampling designs covered are probability sampling methods like simple random sampling, stratified random sampling, systematic random sampling, cluster sampling, and multistage sampling as well as non-probability methods. Factors affecting sample size calculation and sampling variability are also outlined.
Sampling Design in Applied Marketing ResearchKelly Page
This document discusses key concepts in sampling design, including:
1. It defines key terms like population, sample, sampling frame, sampling error, and non-sampling error.
2. It outlines the steps in developing a sampling plan, including defining the population, choosing a data collection method, identifying the sampling frame, selecting a sampling method, determining sample size, and developing operational procedures.
3. It describes different sampling methods like probability and non-probability sampling, and provides examples of methods like simple random sampling, systematic sampling, and stratified sampling under probability sampling.
This document discusses various sampling techniques used in research. It begins by defining key terms like population, sample, and sampling unit. It then explains different probability sampling methods like simple random sampling, systematic sampling, stratified sampling, cluster sampling, and probability proportional to size sampling. For each method, it provides details on the procedure and highlights advantages and disadvantages. The document aims to help readers understand different sampling designs and how to select appropriate techniques for research studies.
This document discusses different sampling techniques used in research studies. It defines key sampling terms like population, sample, sampling frame, etc. It describes probability sampling techniques like simple random sampling, systematic random sampling, stratified random sampling and cluster sampling. It also discusses non-probability sampling techniques and provides examples. Multistage and multiphase sampling are explained. Sample size calculation and Lot quality assurance sampling are also summarized.
This document discusses sample design and the t-test. It covers the sample design process which includes defining the population, sample frame, sample size, and sampling procedure. It also discusses probability and non-probability sampling techniques. The document then explains what a t-test is and how it can be used to test for differences between two group means. It covers the assumptions, procedures, hypotheses, and interpretation of t-test results.
This document discusses various sampling methods used in research. It begins by defining key sampling terms like population, sample, sampling unit, and sampling frame. It then describes the main types of sampling: probability sampling methods which use random selection and allow statistical inference about the population, and non-probability sampling methods which do not use random selection. Specific probability methods discussed include simple random sampling, systematic random sampling, stratified random sampling, cluster sampling, and multistage sampling. Common non-probability methods mentioned are convenience sampling, purposive sampling, and snowball sampling. The document provides details on how to implement several of these sampling techniques and notes their relative advantages and limitations.
This document discusses sampling methods used in research. It outlines key concepts like population, sample, probability sampling, and non-probability sampling. Probability sampling methods like simple random sampling, systematic sampling, stratified sampling and cluster sampling are explained. Non-probability methods like convenience sampling, judgment sampling, and quota sampling are also outlined. Factors to consider for determining sample size and types of errors in sampling are discussed. The advantages and disadvantages of probability and non-probability sampling are compared.
This document provides an introduction to sampling methods for research. It discusses the differences between probability sampling (e.g. simple random sampling, stratified random sampling) and non-probability sampling (e.g. purposive sampling, convenience sampling, quota sampling). Probability sampling allows statistical inferences about the whole population by using random selection techniques. Non-probability sampling is often more convenient but does not allow for statistical generalization due to non-random selection. The document outlines various sampling techniques and provides examples to illustrate key concepts.
This presentation covers statistics, its importance, its applications, branches of statistics, basic concepts used in statistics, data sampling, types of sampling,types of data and collection of data.
1) A sample size of 50 health centers would allow estimating the proportion of health centers providing tuberculosis screening with a 10% margin of error at a 95% confidence level, assuming a proportion of 50%.
2) A sample size of 600 adults would allow estimating the prevalence of cough with a 2% margin of error, accounting for a design effect of 2 and 10% non-response rate.
3) A sample size of 500 small-scale industry workers and 1,000 medium-scale industry workers would allow detecting a risk ratio of 1.5 for work-related injuries between the two groups with 80% power and 5%
This document provides an overview of sampling theory and methods. It defines key terms like population, sample, parameter, statistic, and discusses reasons for sampling such as cost, time, and other limitations that prevent examining an entire population. It describes the basic concepts of probability and non-probability sampling. Specific probability sampling methods covered include simple random sampling and systematic sampling. The advantages and disadvantages of these methods are also discussed.
1. The document discusses key concepts in statistics including population, sampling, random sampling, standard error, and standard error of the mean.
2. A population is the total set of observations, while a sample is a subset selected from the population. Random sampling selects subjects entirely by chance so each member has an equal chance of being selected.
3. The standard error is the standard deviation of a statistic's sampling distribution and indicates how much a statistic may vary between samples. It decreases with larger sample sizes. The standard error of the mean specifically measures how much the sample mean may differ from the population mean.
PPT on Sample Size, Importance of Sample Size,Naveen K L
This document discusses factors related to determining sample size for research studies. It defines key terms like sample size, population and importance of sample size. The selection of sample size involves planning the study, specifying parameters, choosing an effect size, and computing the sample size based on those factors. Sample size is influenced by expected effect size, study power, heterogeneity, error risk, and other variables. Dropouts from the sample during a study also impact sample size calculations. Proper determination of sample size is important for obtaining meaningful results and conducting ethical research.
This document provides an overview of sampling and key sampling concepts. It defines population and sample, and describes different types of sampling including: probability sampling methods like simple random sampling, systematic random sampling, stratified random sampling, and cluster sampling. It also describes non-probability sampling methods like convenience sampling, quota sampling, and purposive sampling. The document discusses important sampling concepts like sampling frame, sampling error, and determining sample size. It provides examples and limitations of different sampling techniques.
The document discusses sampling methods and concepts. It defines key terms like population, sample, sampling frame and sampling error. It describes different types of sampling including probability sampling methods like simple random sampling, systematic random sampling and cluster sampling. It also discusses non-probability sampling and factors to consider in determining sample size. The document provides guidance on calculating sampling error and outlines principles of good sampling.
The document discusses sample size determination for clinical and epidemiological research. It explains that proper sample size is important for validity, accuracy, and reliability of research findings. Key factors to consider in sample size calculations include the study objective, details of the intervention, outcomes, covariates, research design, and study subjects. Precision analysis and power analysis are two common approaches, with power analysis being most suitable for studies aiming to detect an effect. The document provides formulas and examples for calculating sample sizes for comparative and descriptive studies with both continuous and dichotomous outcomes. It also discusses the concepts of type I and II errors and their relationship to statistical power.
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2. DESIGNING A STUDY TO MEASURE PREVALENCE
How can you design a study to measure disease frequency?
FIVE KEY STEPS
Step 1: Define the study objectives
What are you going to measure? Prevalence? Incidence?
Unit of interest (or sampling unit) - basic element of the population
that is sampled
eg., individual animal or a group of animals (such as a pen or herd)
Case definition – clinical signs or diagnostic test indicating the animal
is disease positive
Eg: Pig with any nematode egg = case of helminthosis
Eg: CMT +ve goat = case of mastitis
Target population – population to which study results will be directly
applicable or extrapolated: eg, Prevalence of mastitis in Juja sub-
county
3. Step 2: Designate the sampling strategy
What animals will be included in the study?
Representative sample – a sample of animals that have a
distribution similar to the distribution in the general
population
Adequate sample size – Exact number required depends
on:
1. Desired precision of the estimate
2. Expected prevalence of infected animals based on prior
knowledge [look for prevalences in similar studies]
Sampling strategy –detailed description of the selection
process used to obtain a sample from a population
4. Step 3: Prepare the data collection tools and protocol for data
collection
What information do you need & what tools will you use to collect
it?
Influenced by objectives, unit of interest & case definition
Cow with mastitis: a single questionnaire used
Trypanosomosis case: questionnaire & diagnostic test used
Step 4: Data management
What system will you use to check and store the data? Egs., Ms
Excel
Database for data entry, checking and management
Step 5 Data analysis and reporting
What calculations and analyses are required to obtain the results of
interest and how will these be reported?
Statistical software (eg., Ms Excel, Statview, SAS) for analyses
Format for presentation of key results for your target audience e.g.
Dissertation, publication etc
5. Sampling strategy – details/expounded
Proceeds through series of steps:
i. Define the general population
ii. Select a sampling method
iii. Estimate the required sample size
iv. Nominate the eligibility criteria
v. Construct a sampling frame
Eligibility criteria - set of criteria that each member of the study population
must meet
Egs: production type, herd size, management system, age etc
Sampling frame - list of all units of interest in a general population: needed
for random sampling
Contains every unit of interest in the general population
Each unit of interest has unique identification [ eg., all farms with
lactating cows in Juja]
6. SAMPLING METHODS
Probability (or random)
Ensure that a representative sample of the general
population is included in the study
Transparent & unbiased procedure selects units of interest
from the sampling frame
Each unit of interest in the frame has a known chance of
being selected
Non-probability (or non-random)
Researcher determines composition of the study population
Probability of a unit of interest being selected is not known
Some groups will be over-represented and others under-
represented eg., piglets vs baconers
7. Probability sampling methods Non‐probability sampling methods
• Simple random • Convenience
• Systematic • Purposive
• Stratified • Haphazard sampling
• Cluster
Probability vs Non-probability
Two principal techniques for random sampling:
• Physical randomisation - process where sampling units are
selected using physical systems that contain random elements
1. Numbered marbles from a bag
2. Use of a die
3. Toss of a coin
• Random numbers - sequence of numbers comprising
individual digits with an equal chance that any number from 0
to 9 will be present
1. Tables of random numbers
2. Computer programs generating random numbers
8.
9. Simple random sampling: each subject has an equal chance of being
chosen
Systematic random sampling: selection of sampling units occurs at a
predefined equal interval (sampling interval)
Used when total number of sampling units is unknown eg., patients attending
emergency unit at hospital, animals slaughtered in Dagoretti SH
Eg: studying inpatient [dogs] records, requiring 300 records in 12 months
10 new records daily = 10 × 365 = 3650 records in 1 yr
Sampling interval (k) = 3650/300 =12
1 record for every 12 records
Identify each records with a consecutive number
Random number from 1 to 12 is taken as starting point, every other 12th record is
sampled eg., 4, 16, 28, 40, 52, and so on…
Or: sample every 5th animal in a crush
If a sample of five cows was required, five
random numbers between 1 and 10 would be
generated and cows selected on the basis of
the generated random numbers.
Farm level sampling
10. Stratified random sampling
Sampling frame is divided into groups (strata) & random
selection within each stratum are selected
Ensures adequate representation of all groups
Proportional stratified random sampling: number sampled
within each stratum is proportional to the total number within
the stratum
EG: Prevalence of mastitis in the goats in Thika
Three production systems: Intensive (70%), extensive(20%), 10% in
town (kiandutu)
Create a sampling frame for each system (strata). Randomly select
samples from each strata according to the respective %
Non-random sampling can be done for systems lacking records eg.,
Kiandutu
11. Determination of average total lactation milk volume (total litres)
produced by dairy cows in Juja Division, Kiambu County
2 breeds: Aryshire and Friesian
Stratified random sampling:
12. Cluster sampling
Sampling frame is divided into logical aggregations (clusters)
and a random selection of clusters is performed
Individual sampling units (primary sampling units) within the
selected clusters are then examined
Clustering may occur in space or time
1. Litter of piglets is a cluster formed within a sow,
2. Herd of dairy cows is a cluster within a farm
3. Fleet of matatus is a cluster formed within space (that is,
stage eg., Nairobi Bus station)
Advantage: Economical
Disadvantage: standard errors of estimates are often high due
to homogeneity within a cluster
13. Non-probability sampling methods
Probability of selection of an individual within a population is
not known
Some groups within the population are over or under-selected
Include:
1. Convenience sampling: where the most accessible or amenable
sampling units are selected; eg., next to the road
2. Purposive sampling: where the most desired sampling units are
selected; eg., only adults
3. Haphazard sampling: no particular scheme or method of
sampling is used
Disadvantages:
1. Biased population estimates
2. Extent of that bias cannot be quantified
14. SAMPLE SIZE DETERMINATION
Number of animals that needs to be included in the study
Considers:
Required number appropriate for the study objective
Practical issues: time, cost, expected level of non-participation or loss
of participants during a longitudinal study
15. Formula for sample size calculation:
n = Z2
α/2 (PQ)
L2
n = minimum sample size
Zα = level of confidence required. If 95% confidence required then
Z0.05 = 1.96
P = Known or expected prevalence based on prior knowledge
Q = (1-P)
L = Required level of precision of the prevalence estimate
Example: Mastitis Project in Thika
Prevalence (P) of 50% will be considered to maximize the sample size
Minimum confidence interval of 95%
Level of precision = 5%
n = 1.962 (0.5)(1-0.5)
0.052
n = = 385
Minimum of 385 lactating goats will be sampled
16.
17. Increase sample size:
After obtaining the sample size; you can
increase sample size
By 5% if you expect, due to field
conditions:
1. Samples will not be obtained from
some animals
2. Some samples will not be suitable for
processing by the time they reach the
laboratory
By 40-50% if response rate to your
questionnaire will only be 50-60%
18. EVALUATION OF STATISTICAL RESULTS
Conclusions of your study are usually based on the results of statistical
analyses
Inappropriate statistical tests = wrong and misleading conclusions
Statistical tests used in determining:
Effective treatments in clinical trials
Risk factors for disease
Null hypothesis and P value
Statistical tests are used to investigate the null hypothesis:
Assumption that no difference exists between groups [eg., prevalence of
nematodes is not different in males vs female goats]
Statistical tests are used to disapprove this hypothesis
If a statistical test [eg., t-test, chi-square etc] identifies a difference
between groups disapproving the null hypothesis,
Difference is reported with a corresponding P value eg., p=0.03
P<0.05 = significant difference; P>0.05 = no significant difference
Eg., P=0.97, probability is very high that no difference exists;
P=0.00002, probability is very high that difference exists between male
and female % +ve of nematodes
READ ONYOUR OWN
19. General principles of hypothesis testing are:
Formulate a null hypothesis that the effect to be tested
does not exist [Eg., drug A does not have any efficacy
against nematodes]
Collect data [Expt, Group A [not treated] , B [treated]]
Calculate the probability (P) of these data occurring if the
null hypothesis were true [Drug not efficacious]
If P is large, (0.055 …..0.99) the data are consistent with the
null hypothesis
Conclude that there is no strong evidence that the effect
being tested exists
If P is small (<0.05), we reject the null hypothesis
Conclude that there is a statistically significant effect
There is evidence that the effect being tested exists eg.,
anthelmintic treatment causes significant reduction in egg
counts
READ ONYOUR OWN
20. Significance level α (alpha): Dividing line between ‘large’ and
‘small’ P values
Usually α = 0.05
Significant result = ‘P < 0.05’ ,
P > 0.05 = not statistically significant
Eg: Comparison of natural and AI method in conception
AI: 53 services, 23 resulted in conception
Natural: 124 services, 71 resulted in conception
Null hypothesis = conception rates for AI are equal to conception rates
for natural method
Chi-squared test = compare the two proportions (23/53 and 71/124 ) =
2.86 , df = 1, p value = 0.09
p>0.05, accept null hypothesis (i.e. no significant difference between the
two methods)
READ ONYOUR OWN
Read notes on Statistics: Chi-square, t-test, ANOVA etc
21. Statistical test used to evaluate a difference between groups:
READYOUR STATISTICS NOTES
22. DISEASE OUTBREAKS / HERD PROBLEMS
Disease outbreaks
Outbreak = series of disease events clustered in time
Questions asked:
1. What is the problem?
2. Can something be done to control it?
3. Can future occurrences be prevented?
Assumption: disease is not distributed randomly in a
population
Systematic recording & analysis: pattern, identify the
causes & sources of an epidemic
Decision: effective control measures
23. PROCEDURE FOR OUTBREAK INVESTIGATIONS
1. Establish or verify a diagnosis
2. Define a case
Specifies characteristics shared by all affected animals
Specifies what distinguishes them from non-infected animals
Ensures that the disease is consistently defined among different
investigation centres and over time
3. Confirm that an outbreak is occurring
Enhanced surveillance to identify additional cases
i. Heightening awareness to increase passive case reports
ii. Implementing targeted surveillance
Techniques: contact field practitioners by phone, email
discussion groups (whatApp)
Large outbreaks: use media releases (print, television, radio)
24. 4. Characterise the outbreak in terms of:
Time (epidemic curve)
Identifying the first case (index case) and then graphing subsequent
numbers of cases per day or per week
Common source epidemic :
Extremely rapid increase in the number of cases from the index
case eg., food poisoning after attending a wedding
All the diseased animals were exposed to the source at about the
same time eg., anthrax outbreak in Meru
Propagated epidemic :
Number of disease animals is increasing over time
Typical of contagious disease or prolonged exposure to the agent
via vectors or toxins
26. Location (spatial distribution):
Draw a sketch map of the area or the layout of the pens and
the number of cases within pens
Examine animal movements and recent additions to the
herd or flock
Look for interrelationships among:
Cases
Between location of cases & physical features
27. Calculate attack rates for animals grouped according to sex,
age, breed
Number of animals acquiring the disease
Number of animals present at the start of the outbreak
Collect historical, clinical and productivity data on both cases
and non-cases
5. Analysis of data
Draw attack rate tables by dividing cohort into exposed and
non-exposed groups
Milk is suspect
28. • Most likely vehicle (HAM): greatest difference in attack rate for
exposed and unexposed individuals.
Eg: salad (91 - 60 = 31%), ham (88 - 15 = 73%)
Eg: Food poisoning data
29. 6. Formulate a working hypothesis :
Type of epidemic
Source of epidemic
Mode of transmission
7. Undertake intensive follow-up investigation:
• Epidemiological analyses (eg., case- control)
• Clinical assessment
• Pathology
• Microbiology
• Toxicology
8. Implement control and prevention measures
9. Report findings with recommendations – to DVS?