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Orthogonal Prediction Configural Frequency Analysis by Chi‐Square Partitioning
Author(s) -
Lautsch Erwin,
Lienert Gustav A.,
Eye Alexander Von
Publication year - 1992
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710340603
Subject(s) - contingency table , mathematics , statistics , square (algebra) , chi square test , geometry
Prediction Configural Frequency Analysis is reconceptualized in terms of orthogonal Chi‐Square decomposition. The predictor‐criterion contingency table is subdivided into fourfold tables. The chisquare components of these tables, calculated using Kimball's shortcut formulas, sum up to the total chi‐square of the r × c table. As a result of this decomposition, the number of r × c prediction tests of classical Prediction CFA is reduced to R = ( r ‐ 1) ( c ‐ 1) biprediction types. The resulting version of Prediction CFA is termed orthogonal Prediction CFA. Orthogonal Prediction CFA is illustrated using data describing pupils' performance in German language as predicted from performance in two verbal tests.