Measurement Levels:
This classification focuses on the nature of the data and the permissible mathematical operations:
- Nominal Variables:
- Represent categories with no inherent order or ranking.
- Examples: Colors, Genders, Types of products
- Permissible operations: Counting frequencies, calculating proportions, mode
- Ordinal Variables:
- Represent categories with a meaningful order or ranking, but the differences between categories are not quantifiable.
- Examples: Education levels, Satisfaction ratings, Socioeconomic status
- Permissible operations: Counting frequencies, calculating proportions, mode, median, percentiles
- Interval Variables:
- Represent ordered categories with meaningful and consistent intervals between values, but lack a true zero point.
- Examples: Temperature in Celsius or Fahrenheit, Years on a timeline
- Permissible operations: Counting frequencies, calculating proportions, mode, median, mean, standard deviation, addition, subtraction
- Ratio Variables:
- Represent ordered categories with meaningful intervals and a true zero point, indicating the absence of the attribute being measured.
- Examples: Height, Weight, Age, Income
- Permissible operations: All arithmetic operations, including ratios and percentages
Role in Analysis:
This classification is relevant in experimental or analytical contexts:
- Independent Variables:
- Variables that are manipulated or controlled by the researcher to observe their effect on other variables.
- Also called predictor or explanatory variables.
- Dependent Variables:
- Variables that are measured or observed as the outcome or response to changes in the independent variables.
- Also called response or outcome variables.
Variable Type | Definition | Examples | Permissible Operations |
Nominal | Represents categories with no inherent order or ranking. | Colors (red, blue, green), Genders (male, female), Types of products (electronics, clothing) | Counting frequencies, calculating proportions, mode |
Ordinal | Represents categories with a meaningful order or ranking, but the differences between categories are not quantifiable. | Education levels (high school, bachelor’s, master’s), Satisfaction ratings (very dissatisfied, dissatisfied, neutral, satisfied, very satisfied), Socioeconomic status (low, middle, high) | Counting frequencies, calculating proportions, mode, median, percentiles |
Interval | Represents ordered categories with meaningful and consistent intervals between values, but lack a true zero point. | Temperature in Celsius or Fahrenheit, Years on a timeline | Counting frequencies, calculating proportions, mode, median, mean, standard deviation, addition, subtraction |
Ratio | Represents ordered categories with meaningful intervals and a true zero point, indicating the absence of the attribute being measured. | Height, Weight, Age, Income | All arithmetic operations, including ratios and percentages |
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