/*-------------------------------------------------------------- * * SAS/STAT TEST LIBRARY * * NAME: calis16 * SUPPORT: Wolfgang M. Hartmann * UPDATE: * REFERENCE: Nine Psychological Variables, LISREL VI (1985, p.III.106) * Data of HOLZINGER & SWINEFORD (1937) * EVALUATION: * FUNCTION: First Order Confirmatory FA models * Different models show use of modification indices. * Long output contains (LISREL p. III.108-122): * CORR matrix with determinant * parameter specification * maximum-likelihood estimates * R-squared values * coefficient of determination * standard errors and t-values --------------------------------------------------------------*/ TITLE 'TEST16: Nine Psychological Variables, LISREL VI, p. III.106'; TITLE2 'Confirmatory Factor Analysis, Data of Holzinger & Swineford (1937)'; DATA HOLZING(TYPE=CORR); _TYPE_ = 'CORR'; INPUT _NAME_ $ V1-V9; LABEL V1='Visual perception' V2='Cubes' V3='Lozenges' V4='Paragraph comprehension' V5='Sentence completion' V6='Word meaning' V7='Addition' V8='Counting dots' V9='Straight-curved capitals' ; CARDS; V1 1. . . . . . . . . V2 .318 1. . . . . . . . V3 .436 .419 1. . . . . . . V4 .335 .234 .323 1. . . . . . V5 .304 .157 .283 .722 1. . . . . V6 .326 .195 .350 .714 .685 1. . . . V7 .116 .057 .056 .203 .246 .170 1. . . V8 .314 .145 .229 .095 .181 .113 .585 1. . V9 .489 .239 .361 .309 .345 .280 .408 .512 1. ; PROC CALIS DATA=HOLZING METHOD=MAX TECH=LM EDF=144 short mod PDE; TITLE3 'Model A: Restricted Oblique Clusters (24 df)'; FACTOR N=3; MATRIX _F_ /* factor loadings */ [ ,1] = 3 * L: , [ ,2] = 3 * 0 3 * L: , [ ,3] = 6 * 0 3 * L: ; MATRIX _P_ /* factor correlations */ [1, ] = 1. , [2, ] = C: 1. , [3, ] = 2 * C: 1. ; MATRIX _U_ /* unique variances */ [1,1] = EPS1-EPS9 ; BOUNDS EPS1-EPS9 >= 0.; /* must be non-negative */ RUN; /* PROC CALIS DATA=HOLZING METHOD=MAX TECH=LM EDF=144 short mod; TITLE3 'Model A: Restricted Oblique Clusters (24 df)'; LINEQS V1 = L: F1 + E1, V2 = L: F1 + E2, V3 = L: F1 + E3, V4 = L: F2 + E4, V5 = L: F2 + E5, V6 = L: F2 + E6, V7 = L: F3 + E7, V8 = L: F3 + E8, V9 = L: F3 + E9; STD E1-E9 = EPS1-EPS9 , F1-F3 = 3 * 1. ; BOUNDS EPS1-EPS9 >= 0.; COV F1-F3 = C: ; RUN; */ PROC CALIS DATA=HOLZING METHOD=MAX TECH=LM EDF=144 short; TITLE3 'Model B: 23 degrees of freedom (F[9,1] free)'; FACTOR N=3; MATRIX _F_ [ ,1] = 3 * L: 5 * 0. L:, [ ,2] = 3 * 0 3 * L: , [ ,3] = 6 * 0 3 * L: ; MATRIX _P_ [1, ] = 1. , [2, ] = C: 1. , [3, ] = 2 * C: 1. ; MATRIX _U_ [1,1] = EPS1-EPS9 ; BOUNDS EPS1-EPS9 >= 0.; RUN; /* PROC CALIS DATA=HOLZING METHOD=MAX TECH=LM EDF=144 short; TITLE3 'Model B: 23 degrees of freedom (F[9,1] free)'; LINEQS V1 = L: F1 + E1, V2 = L: F1 + E2, V3 = L: F1 + E3, V4 = L: F2 + E4, V5 = L: F2 + E5, V6 = L: F2 + E6, V7 = L: F3 + E7, V8 = L: F3 + E8, V9 = L: F1 + L: F3 + E9; STD E1-E9 = EPS1-EPS9 , F1-F3 = 3 * 1. ; BOUNDS EPS1-EPS9 >= 0.; COV F1-F3 = C: ; RUN; */