March 7 - March 7 2008 From Operationalization to Levels of...

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March 7, 2008 From Operationalization to Levels of Measurement This is important when we start doing statistics! Four levels of measurement o Nominal: no mathematical interpretation or order (e.g. gender, religion, race/ethnicity) o Ordinal : a mathematical order, but we can’t add, subtract, or divide scores meaningfully (e.g. a response scale) o Interval: a real number, but no fixed starting point of 0 (e.g. SAT scores) o Ratio: a real number that starts at 0 Nominal o The nominal level of measurement identifies variables whose values have no mathematical interpretation; they use discrete categories that vary in kind or quality but not in amount o Examples: Race/ethnicity Religion Gender Qualities of attributes/Categories of nominal variables o Mutually exclusive Measure can be identifies by one and only one attribute No overlap between attributes/categories o Exhaustive All possible measure must be included in the attributes Which includes “other” or catch-all
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