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Statistics for Social Sciences · College

Social Science Stats: Measurement Scales and Reliability

Nominal, ordinal, interval, and ratio measurement scales and the concepts of reliability and validity in social measurement.

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What is a nominal scale?
A measurement scale that categorizes data into mutually exclusive categories with no inherent order.
What is an ordinal scale?
A measurement scale that categorizes data into ordered categories, but the distances between categories are not necessarily equal.
What is an interval scale?
A measurement scale with ordered categories and equal intervals between values, but no true zero point.
What is a ratio scale?
A measurement scale with ordered categories, equal intervals between values, and a true zero point.
Which measurement scale has a true zero point?
Ratio scale.
What property distinguishes an interval scale from an ordinal scale?
Interval scales have equal intervals between consecutive values, whereas ordinal scales do not.
Can you calculate a meaningful average (mean) from nominal data?
No, the mean is not appropriate for nominal data because the categories have no numerical order or value.
Give an example of a nominal scale.
Hair color, ethnicity, gender, or political party affiliation.
Give an example of an ordinal scale.
Educational attainment, military rank, or customer satisfaction ratings (poor, fair, good, excellent).
Give an example of an interval scale.
Temperature in Celsius or Fahrenheit, standardized test scores, or IQ scores.
Give an example of a ratio scale.
Height, weight, age, income, or reaction time in milliseconds.
What is reliability in measurement?
The degree to which a measure produces consistent and stable results across different times, observers, or applications.
What is test-retest reliability?
The consistency of a measurement when the same instrument is administered to the same subjects at two different points in time.
What is internal consistency reliability?
The degree to which items within a single instrument correlate with one another and measure the same underlying construct.
What is inter-rater reliability?
The degree to which different observers or raters agree in their measurements or assessments of the same phenomenon.

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