FACTORIAL SYNTHESIS AND ANALYSIS OF THE UCHIDA-KRAEPELIN PSYCHODIAGNOSTIC TEST BY COMPUTER SIMULATION

11 simulated correlation matrices of 30 composites, which were equivalent to the observed 30-minutes' performances of the Uchida-Kraepelin Test, synthesized by substituting 36 sets of normal random deviates of 0 mean and unit variance into 6 common factors and 30 error factors of the factor-analytic model of the test (Formula No. 1), were re-factoranalyzed. Complete isomorphism between the observed and the simulated data was found in the means, standard deviations, correlations, eigenvalues and factor-loadings and also in the weights for factor-scores. The results seem to give a clear-cut answer to the determination of the number of factors. Cattell's Scree Test is found superior to Guttman's criterion which uses eigenvalues of the correlation matrix with unities in the diagonal.