MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:**Understanding Variable Types and Levels of Measurement**
This educational resource explains how to classify variables as either quantitative or categorical, and identify their levels of measurement.
### Variable Classification
1. **Duration of a Call to Customer Support Line**
- **Type of Variable**: Quantitative
- **Level of Measurement**: Ratio
- **Explanation**: The duration of a call is a numerical measurement that has a true zero point, meaning a call can be zero minutes long. It demonstrates the ratio level of measurement, as differences and ratios are meaningful.
2. **Color Vision Status (Colorblind or Not Colorblind)**
- **Type of Variable**: Categorical
- **Level of Measurement**: Nominal
- **Explanation**: Color vision status is a categorical variable with no intrinsic order, classified nominally. It simply distinguishes between colorblind and not colorblind without suggesting any ranking.
3. **Price of a Shirt on the Clearance Rack**
- **Type of Variable**: Quantitative
- **Level of Measurement**: Ratio
- **Explanation**: The price of a shirt is a numeric variable that can be assessed in terms of how much more one shirt costs over another. This ratio level allows for comparing differences and computing ratios.
### Key Concepts
- **Quantitative Variables**: These are numerical and can be measured in terms of magnitude. Commonly assessed using interval or ratio measurements.
- **Categorical (Qualitative) Variables**: These describe qualities or categories. They are classified using nominal or ordinal scales.
- **Nominal Level**: Used for labeling variables without any quantitative value (e.g., gender, color vision status).
- **Ordinal Level**: Reflects ordered categories but does not specify the distance between them.
- **Interval Level**: Uses numerical values to show order, but lacks a true zero point (e.g., temperature in Celsius).
- **Ratio Level**: Similar to interval, but with a meaningful zero, allowing for the calculation of ratios (e.g., duration, price).
This understanding is crucial for analyzing data accurately in studies and research.
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