Accession Number : ADA017209

Title :   A Basic Test Theory Generalizable to Tailored Testing.

Descriptive Note : Technical rept.,

Corporate Author : UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES DEPT OF PSYCHOLOGY

Personal Author(s) : Cliff,Norman

Report Date : 22 OCT 1975

Pagination or Media Count : 44

Abstract : Measures of consistency and completeness of order relations derived from test-type data are proposed. The measures are generalized to apply to incomplete data such as tailored testing. The measures are based on consideration of the item-plus-persons by items-plus-persons matrix as an adjacency matrix in which a 1 means that the row element dominated the column element regardless of whether it is item or person which dominates. From this the number of item-item and person-person dominance relations can be derived. Indices of consistency are developed which compare the number of dominance relations in a matrix to the number that would occur if it were perfectly consistent and to the number in a random matrix. The indices of consistency are shown to relate to test variance, the Kuder-Richardson formulas, and Loevinger's homogeneity indices. Indices of completeness are also proposed. (Author)

Descriptors :   *Psychological tests, *Consistency, Adjustment(Psychology), Matrix theory, Measurement, Homogeneity, Theory, Scaling factors, Statistical analysis, Predictions, Monte Carlo method

Subject Categories : Psychology

Distribution Statement : APPROVED FOR PUBLIC RELEASE