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MEASUREMENT MODELS FOR CONTINUOUS AND DISCRETE VARIABLES (FROM STRUCTURAL EQUATION MODELS IN THE SOCIAL SCIENCES, 1973, BY ARTHUR S GOLDBERGER AND OTIS D DUNCAN - SEE NCJ-52004)

NCJ Number
52007
Author(s)
N W HENRY
Date Published
1973
Length
17 pages
Annotation
THE PURPOSE OF THIS ARTICLE IS TO SHOW HOW ASSUMPTIONS OF PATH-ANALYTIC MODELS CLOSELY PARALLEL DICHOTOMOUS MODELS, AND BASIC CHARACTERISTICS OF CONTINUOUS-VARIABLE MODELS ARE REVIEWED.
Abstract
THE DISCUSSION ON REPEATED MEASUREMENT OF ONE CONTINUOUS VARIABLE FOCUSES ON THE IDENTIFICATION OF RESTRICTIONS AND VARIANCES. TWO WAYS OF DEVELOPING MEASUREMENT MODELS FOR DICHOTOMOUS ATTRIBUTES ARE EXAMINED: (1) TREAT VARIABLES AS NUMBER VALUED (BINARY OR 'DUMMY') AND (2) DEFINE CONDITIONAL PROBABILITIES OF RESPONSE UNCERTAINTY AND CHANGE UNDER VARIOUS CONDITIONS, LEADING TO A STYLE OF ANALYSIS THAT IS COMPARABLE TO MARKOV CHAIN ANALYSIS. WAYS OF RESTRICTING GENERAL MEASUREMENT MODELS INVOLVING DICHOTOMOUS ATTRIBUTES ARE CONSIDERED, ALONG WITH BINARY VARIABLE ANALYSIS AND POLYTOMOUS QUALITATIVE VARIABLES. APPLICATIONS OF MODELS RELATING LATENT AND MANIFEST VARIABLES ARE DISCUSSED. SUPPORTING EQUATIONS ARE GIVEN. (DEP)

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