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SCALES AND MEASUREMENTS
30-01-2023 Motivation for life Academy by Dr Khalid B.M 1
QUALITATIVE DATA (CATEGORICAL)
Dichotomous (Binary ) Scale
When subjects are categorized into only two categories we refer such scales as
dichotomous or Binary
Examples: Response of drug (cured / Not Cured)
disease status (diseased / non diseased)
Gender (Male / Female)
QUICK SCAN
30-01-2023 Motivation for life Academy by Dr Khalid B.M 2
NOMINAL SCALE
The scale consists of a set of categories into which, individuals are classified based on
defined characteristics. The categories have no logical order within themselves.
Example blood type ( A, B, AB,O)
Ethnicity (white, black, Asian etc)
ORDINAL SCALE
The categories in this scale possess logical ordering between them, with such
measurement the categories indicate the amount of a characters possessed.
Pain ( no pain, mild, moderate, severe) as 0,1,2,3.
QUICK SCAN
30-01-2023 Motivation for life Academy by Dr Khalid B.M 3
Prakriti
• Vata, Pitta, Kapha
Snehapan lakshan
• Ayog, samyak yog, ati yog
Nutritional status
• Sthula, krusha
QUICK SCAN
30-01-2023 Motivation for life Academy by Dr Khalid B.M 4
INTERVAL
At the interval level of measurement, numbers represent fixed
measurement units but have no absolute zero point.
Example,
temperature of zero, does not indicate that there is no heat !
Hypertension
Interval measures reflect differences in magnitude
QUICK SCAN
30-01-2023 Motivation for life Academy by Dr Khalid B.M 5
RATIO
A ratio level of measurement represents fixed measuring units with an absolute zero
point.
On a ratio scale,
10 = 2+ 8 as well as 2 x 5.
Examples: Height, Weight, Income, Time
Ratio numbers can be added and subtracted, and because the numbers begin at an
absolute zero point, they can also be multiplied and divided.
QUICK SCAN
30-01-2023 Motivation for life Academy by Dr Khalid B.M 6
Quiz 2
What is level of measurement for the variable “political
party affiliation”, with values
 Congress
 NCP
 Shivsena
 Manase
 BJP
 RPI
Nominal
QUICK SCAN
30-01-2023 Motivation for life Academy by Dr Khalid B.M 7
Quiz 4
• What is the level of measurement for the variable “Political Ideology
Scale”, measured on a scale of 6-24, where 6=Very Conservative and
24=Very Liberal?
Interval
QUICK SCAN
30-01-2023 Motivation for life Academy by Dr Khalid B.M 8
Quiz 3
What is the level of measurement for the variable, “political ideology”,
measured as
 Very Conservative
 Conservative
 Moderate
 Liberal
 Very Liberal
Ordinal
QUICK SCAN
30-01-2023 Motivation for life Academy by Dr Khalid B.M 9
Quiz 5
What is the level of measurement for the variable
“Annual income”, measured in rupees?
Ratio
QUICK SCAN
30-01-2023 Motivation for life Academy by Dr Khalid B.M 10
Quiz 6
What is the level of measurement for the variable
“Age of the individual", measured in years?
Interval
QUICK SCAN
30-01-2023 Motivation for life Academy by Dr Khalid B.M 11
30-01-2023 Motivation for life Academy by Dr Khalid B.M 12
DESCRIPTIVE MEASURES
AVERAGE : Mean – Arithmetic average
Median – 50th value
Mode – fashionable number
MEASURES OF VARIABILITY
Range: Minimum to maximum
Interquartile range: 25 and 75th percentile
Variance: Expressed in square term
Standard deviation: Expressed in original units
QUICK SCAN
30-01-2023 Motivation for life Academy by Dr Khalid B.M 13
REPORTING SUMMARY OF STATISTICS
Type Of Variable Summary Measures To Be
Presented
Continuous Variable With No
Extreme (Normally
Distributed)
Mean±Standard Deviation
Continuous Variable With
Extreme
Median (Range /
Interquartile)
Ordinal Value Median (Range)
Nominal Value Frequency (Percentage)
QUICK SCAN
30-01-2023 Motivation for life Academy by Dr Khalid B.M 14
One Accurate Measurement Is Worth A
Thousand Expert Opinions
PUNCH LINE
30-01-2023 Motivation for life Academy by Dr Khalid B.M 15

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Scales and Measurements

  • 1. SCALES AND MEASUREMENTS 30-01-2023 Motivation for life Academy by Dr Khalid B.M 1
  • 2. QUALITATIVE DATA (CATEGORICAL) Dichotomous (Binary ) Scale When subjects are categorized into only two categories we refer such scales as dichotomous or Binary Examples: Response of drug (cured / Not Cured) disease status (diseased / non diseased) Gender (Male / Female) QUICK SCAN 30-01-2023 Motivation for life Academy by Dr Khalid B.M 2
  • 3. NOMINAL SCALE The scale consists of a set of categories into which, individuals are classified based on defined characteristics. The categories have no logical order within themselves. Example blood type ( A, B, AB,O) Ethnicity (white, black, Asian etc) ORDINAL SCALE The categories in this scale possess logical ordering between them, with such measurement the categories indicate the amount of a characters possessed. Pain ( no pain, mild, moderate, severe) as 0,1,2,3. QUICK SCAN 30-01-2023 Motivation for life Academy by Dr Khalid B.M 3
  • 4. Prakriti • Vata, Pitta, Kapha Snehapan lakshan • Ayog, samyak yog, ati yog Nutritional status • Sthula, krusha QUICK SCAN 30-01-2023 Motivation for life Academy by Dr Khalid B.M 4
  • 5. INTERVAL At the interval level of measurement, numbers represent fixed measurement units but have no absolute zero point. Example, temperature of zero, does not indicate that there is no heat ! Hypertension Interval measures reflect differences in magnitude QUICK SCAN 30-01-2023 Motivation for life Academy by Dr Khalid B.M 5
  • 6. RATIO A ratio level of measurement represents fixed measuring units with an absolute zero point. On a ratio scale, 10 = 2+ 8 as well as 2 x 5. Examples: Height, Weight, Income, Time Ratio numbers can be added and subtracted, and because the numbers begin at an absolute zero point, they can also be multiplied and divided. QUICK SCAN 30-01-2023 Motivation for life Academy by Dr Khalid B.M 6
  • 7. Quiz 2 What is level of measurement for the variable “political party affiliation”, with values  Congress  NCP  Shivsena  Manase  BJP  RPI Nominal QUICK SCAN 30-01-2023 Motivation for life Academy by Dr Khalid B.M 7
  • 8. Quiz 4 • What is the level of measurement for the variable “Political Ideology Scale”, measured on a scale of 6-24, where 6=Very Conservative and 24=Very Liberal? Interval QUICK SCAN 30-01-2023 Motivation for life Academy by Dr Khalid B.M 8
  • 9. Quiz 3 What is the level of measurement for the variable, “political ideology”, measured as  Very Conservative  Conservative  Moderate  Liberal  Very Liberal Ordinal QUICK SCAN 30-01-2023 Motivation for life Academy by Dr Khalid B.M 9
  • 10. Quiz 5 What is the level of measurement for the variable “Annual income”, measured in rupees? Ratio QUICK SCAN 30-01-2023 Motivation for life Academy by Dr Khalid B.M 10
  • 11. Quiz 6 What is the level of measurement for the variable “Age of the individual", measured in years? Interval QUICK SCAN 30-01-2023 Motivation for life Academy by Dr Khalid B.M 11
  • 12. 30-01-2023 Motivation for life Academy by Dr Khalid B.M 12
  • 13. DESCRIPTIVE MEASURES AVERAGE : Mean – Arithmetic average Median – 50th value Mode – fashionable number MEASURES OF VARIABILITY Range: Minimum to maximum Interquartile range: 25 and 75th percentile Variance: Expressed in square term Standard deviation: Expressed in original units QUICK SCAN 30-01-2023 Motivation for life Academy by Dr Khalid B.M 13
  • 14. REPORTING SUMMARY OF STATISTICS Type Of Variable Summary Measures To Be Presented Continuous Variable With No Extreme (Normally Distributed) Mean±Standard Deviation Continuous Variable With Extreme Median (Range / Interquartile) Ordinal Value Median (Range) Nominal Value Frequency (Percentage) QUICK SCAN 30-01-2023 Motivation for life Academy by Dr Khalid B.M 14
  • 15. One Accurate Measurement Is Worth A Thousand Expert Opinions PUNCH LINE 30-01-2023 Motivation for life Academy by Dr Khalid B.M 15