Parametric Statistics and Levels of Measurement

Mark L Davison, Anu R. Sharma

Research output: Contribution to journalArticle

48 Scopus citations

Abstract

If Y is a continuous, ordinal measure of a latent variable θ and Y has a normal distribution with equal variances in several groups, then t tests and one-way analyses of variance on Y can be used to test hypotheses about population mean differences on θ in the corresponding groups. If X and Y are continuous, ordinal measures of latent variables θ and Φ, and if X and Y have a bivariate normal distribution, then a test of the null hypothesis that the population correlation between X and Y is zero is also a test of the hypothesis that θ and Φ are independent.

Original languageEnglish (US)
Pages (from-to)137-144
Number of pages8
JournalPsychological Bulletin
Volume104
Issue number1
DOIs
StatePublished - Jul 1988

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