Scale | Definition | Example |
Nominal | Measures without order, simply indicates that two or more classifications are different. Numbers are used to name categories. | Types of schools; comprehensive, vocational, private, college prep, etc. |
Ordinal | Measures with order, indicates that the measurement classifications are different and can be ranked. No information about the distance between values. | The letter grading system. |
Interval | Measures with order and establishes numerically equal distances on the scale. | Performance on a standardized achievement test. |
Ratio | Measures have equal intervals and a 'true' zero point. | Number of correct items on a test. |
Quasi-interval | An unofficial type of scaling that falls between ordinal and interval. Technically ordinal but can be analyzed as if it were interval. Usually there are five or more levels of the variable. | Some Likert scaled items: (strongly agree) 7 6 5 4 3 2 1 (strongly disagree) |
Note: Variables that are nominal or ordinal scaled are said to be discrete, while interval and ratio scaled variables are considered to be continuous.
Here are several examples:
age -- mean: 44.415 range: 18/89 marital 1 never married 2 married 3 divorced 4 separated 5 widowed education 1 less than high school 2 some high school 3 finished high school 4 some college 5 graduate college employ 1 full time 2 part time 3 unemployed 4 retired 5 houseperson 6 in school 7 other income -- mean: 20.5748 range: 2/65 religion 1 protestant 2 catholic 3 jewish 4 none ses 1 low 2 middle 3 high health 1 excellent 2 good 3 fair 4 poor iq -- mean: 107 range: 89/134 like_math 1 strongly disagree 2 disagree 3 undecided 4 agree 5 agree strongly age_group 1 18/25 2 26/35 3 36/45 4 46/55 5 56/65 6 66/70 7 71/75 8 76/80 9 81/85 10 86/90 like_my_job 1 strongly disagree 2 disagree 3 undecided 4 agree 5 agree strongly 6 not applicable
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Phil Ender, 30Jun98