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Basic Statistics for Business
What Is Statistics?
• Science of collection, organization, analysis and interpretation
of numerical facts
Gathering Analyzing
•Drawing Inferences
• Originally associated with government data (e.g., census data), the subject now has
applications in all the areas
Types of Data
• Qualitative and Quantitative
• Discrete and Continuous
• Univariate and Bivariate
• Raw and Tabulated
• Scales of Measurements – 4
Quantitative and Qualitative
Characteristics
• Quantitative characteristic – one which can
be measured numerically (variable)
• Example: Height, Weight, Number of
Patients
• Qualitative characteristic – one which
cannot be measured numerically
(attribute)
• Example: Intelligence, Beauty
Quantitative
• Makes use of all the statistical data collected by the firm and by other firms/organisations
to help inform decision making
• Surveys
• Sales data
• Impact on sales
• Primary data – collected by the firm themselves
• Secondary data – collected /purchased through already used / published sources.
ex: GFK data, Nielson Data, Bloomberg data and D & B data.
Discrete and Continuous Variable
• Discrete variable
• A variable which assumes only some specified values in a given range
• Example: Number of children per family, Number of seeds per bean pod
• Continuous Variable
• A variable which assumes all the values in the range
• Example: Height of persons, Weight of apples
1. Skin color of a person Quantitative/Qualitative
2. Age Continuous/Discrete
3. Number of children in a family Continuous/Discrete
4. Years of education Continuous/Discrete
5. Family Status Quantitative/Qualitative
6. Sales value of a drug Continuous/Discrete
7. # of Calls to the particular doctor….. Continuous/Discrete
8. Characteristic of a population Statistic/Parameter
Scales of Measurement
Scales of Measurement
Measurement Scales
Nominal
data
Ratiodata
Ordinal data Interval data
Nominal Scale
• Named categories
• Examples: Gender, Race, Party Identification, Place of Birth, Major Department
• Question: Before I begin, can I verify what is your specialty?
1. General Practice, or
2. Family Practice, or
3. Primary Care, or
4. Internal Medicine
5. Other
• Measure used: Mode
Ordinal Scale
•All observations are ordered (ranked) from lower to higher, but we can’t
assign any meaningful uniform distance between the ranks
•Examples: job prestige, social class, high school class rank
•Question: Did the rep present the full information of the product to you?
• 1 = Very poor information coverage 5 = Very good information coverage
•Measure used: Median, Mode
Interval Scale
•We can specify equal distance between levels, but there is no fixed and meaningful
zero point
•Examples: IQ scores, degrees Fahrenheit, degrees Centigrade (Celsius), GREscores
•Measure used: Mean
Ratio Scale
•There is some meaningful zero point, allowing us to form ratios of one value relative to
another value
•Examples: income, census counts, years of education
•Question: Cost of treatment in a government hospital
•Measure used: Mean
Identify the scales of measurement
• Drug sales
• Prescriptions given by the any doctor
• Specialty of the doctor (GP/GY)
•Drug performance in the market……………1 – High 3 - Low
• Family status………………1 – Higher class 5 – Lower middle class
• Time at which patient get admitted to the hospital
• Ratio Scale
• Nominal Scale
• Nominal Scale
• Ordinal Scale
• Ordinal Scale
• Interval Scale
Nominal Num
bers
Assig
ned
to
Runn
ers
333 8 7
Ordinal Rank
Orders
of
Winners
3rd 2nd 1st
Interval Perfor
mance
rating
8.2 9.1 9.6
Ratio Time to Finish 22.03 21.02Sec 19.19Sec
Athletics
Univariate and Bivariate Charts
UNIVARIATE CHARTS- HISTOGRAM
AND BOX PLOT
Density Curves and their Properties
• One Variable – Weights in lbs
• This is Raw Data
• Difficult to analyse if no of obs (freq) is large
• Set up the Weights as Frequency counts
according to Class Intervals of 10 lbs
• Frequency Distribution of weights (univariate)
• X axis - Class Interval, Y axis- Frequency count
• Convert to Relative Frequency ( % or
Probablity Distribution)
Bivariate Charts
Statistical Methods
Descriptive Statistics
Summary Statistics Summary Graphic tools Estimation Hypothesis Testing
Measures of central
tendency & Dispersion
1 Mean
2 Median
3 Mode
4 Range
5 Standard deviation
1.Bar Chart
2.Scatterplot
3.Pie chart
InferentialStatistics
Statistical Methods

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Topic 1 - Scales of Measurement & Distributions.pptx

  • 2. What Is Statistics? • Science of collection, organization, analysis and interpretation of numerical facts Gathering Analyzing •Drawing Inferences • Originally associated with government data (e.g., census data), the subject now has applications in all the areas
  • 3. Types of Data • Qualitative and Quantitative • Discrete and Continuous • Univariate and Bivariate • Raw and Tabulated • Scales of Measurements – 4
  • 4.
  • 5. Quantitative and Qualitative Characteristics • Quantitative characteristic – one which can be measured numerically (variable) • Example: Height, Weight, Number of Patients • Qualitative characteristic – one which cannot be measured numerically (attribute) • Example: Intelligence, Beauty
  • 6. Quantitative • Makes use of all the statistical data collected by the firm and by other firms/organisations to help inform decision making • Surveys • Sales data • Impact on sales • Primary data – collected by the firm themselves • Secondary data – collected /purchased through already used / published sources. ex: GFK data, Nielson Data, Bloomberg data and D & B data.
  • 7. Discrete and Continuous Variable • Discrete variable • A variable which assumes only some specified values in a given range • Example: Number of children per family, Number of seeds per bean pod • Continuous Variable • A variable which assumes all the values in the range • Example: Height of persons, Weight of apples 1. Skin color of a person Quantitative/Qualitative 2. Age Continuous/Discrete 3. Number of children in a family Continuous/Discrete 4. Years of education Continuous/Discrete 5. Family Status Quantitative/Qualitative 6. Sales value of a drug Continuous/Discrete 7. # of Calls to the particular doctor….. Continuous/Discrete 8. Characteristic of a population Statistic/Parameter
  • 9. Scales of Measurement Measurement Scales Nominal data Ratiodata Ordinal data Interval data
  • 10.
  • 11. Nominal Scale • Named categories • Examples: Gender, Race, Party Identification, Place of Birth, Major Department • Question: Before I begin, can I verify what is your specialty? 1. General Practice, or 2. Family Practice, or 3. Primary Care, or 4. Internal Medicine 5. Other • Measure used: Mode
  • 12. Ordinal Scale •All observations are ordered (ranked) from lower to higher, but we can’t assign any meaningful uniform distance between the ranks •Examples: job prestige, social class, high school class rank •Question: Did the rep present the full information of the product to you? • 1 = Very poor information coverage 5 = Very good information coverage •Measure used: Median, Mode
  • 13. Interval Scale •We can specify equal distance between levels, but there is no fixed and meaningful zero point •Examples: IQ scores, degrees Fahrenheit, degrees Centigrade (Celsius), GREscores •Measure used: Mean
  • 14. Ratio Scale •There is some meaningful zero point, allowing us to form ratios of one value relative to another value •Examples: income, census counts, years of education •Question: Cost of treatment in a government hospital •Measure used: Mean
  • 15.
  • 16. Identify the scales of measurement • Drug sales • Prescriptions given by the any doctor • Specialty of the doctor (GP/GY) •Drug performance in the market……………1 – High 3 - Low • Family status………………1 – Higher class 5 – Lower middle class • Time at which patient get admitted to the hospital • Ratio Scale • Nominal Scale • Nominal Scale • Ordinal Scale • Ordinal Scale • Interval Scale
  • 17. Nominal Num bers Assig ned to Runn ers 333 8 7 Ordinal Rank Orders of Winners 3rd 2nd 1st Interval Perfor mance rating 8.2 9.1 9.6 Ratio Time to Finish 22.03 21.02Sec 19.19Sec Athletics
  • 20. Density Curves and their Properties
  • 21. • One Variable – Weights in lbs • This is Raw Data • Difficult to analyse if no of obs (freq) is large
  • 22. • Set up the Weights as Frequency counts according to Class Intervals of 10 lbs
  • 23.
  • 24. • Frequency Distribution of weights (univariate) • X axis - Class Interval, Y axis- Frequency count
  • 25. • Convert to Relative Frequency ( % or Probablity Distribution)
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31.
  • 32.
  • 33.
  • 34.
  • 35.
  • 36.
  • 37.
  • 38.
  • 39.
  • 40.
  • 41.
  • 42.
  • 43.
  • 44.
  • 45.
  • 46.
  • 48.
  • 49.
  • 50.
  • 51.
  • 52.
  • 53.
  • 54.
  • 55.
  • 56.
  • 57.
  • 58.
  • 59. Statistical Methods Descriptive Statistics Summary Statistics Summary Graphic tools Estimation Hypothesis Testing Measures of central tendency & Dispersion 1 Mean 2 Median 3 Mode 4 Range 5 Standard deviation 1.Bar Chart 2.Scatterplot 3.Pie chart InferentialStatistics Statistical Methods