What is nominal data?
Data classifying items into categories with no inherent order (e.g., gender).
Ordinal data involve categories with a meaningful order or rank but without fixed intervals between ranks.
Allows for mean, median, and mode calculations. Supports parametric statistical tests assuming normal distribution (e.g., t-tests, ANOVA). Examples: Temperature in Celsius or Fahrenheit, IQ scores.
Secondary data are previously collected data used by researchers for new analyses, offering the following benefits:
Critical Assessment Rule: Researchers must critically assess secondary data before use. Disadvantages: may not perfectly fit new research questions, possible issues with validity or reliability.
Comparing the measurement attributes that determine appropriate statistical analysis.
| Level | Order? | Intervals? | True Zero? | Mode | Median | Mean | Test Type |
|---|---|---|---|---|---|---|---|
| Nominal | No | No | No | Y | N | N | Non-Parametric |
| Ordinal | Yes | No | No | Y | Y | N | Non-Parametric |
| Interval | Yes | Yes | No | Y | Y | Y | Parametric |
What is nominal data?
Data classifying items into categories with no inherent order (e.g., gender).
What type of data is ordinal data?
Data with categories that have meaningful order but unequal intervals (e.g., rankings).
What distinguishes interval data from ordinal data?
Interval data have equal intervals between values and no true zero (e.g., temperature).
What characterizes quantitative data?
Numerical data representing counts or measurements, either discrete or continuous.
What is qualitative data?
Non-numeric descriptive data, representing categories or characteristics.
What is primary data?
Data collected firsthand by the researcher.
What is secondary data?
Previously collected data used by researchers for new analyses.
Which statistical tests are commonly used for nominal data?
Non-parametric tests like Chi-square.
What is the preferred measure of central tendency for ordinal data?
The median.
Why can't interval data be used to calculate ratios?
Because there is no true zero point in interval data.