Data InputContents
Exploratory Factor Analysis
Confirmatory Factor Analysis / Structural Equation Model
********************************************************************;
* harmfact.sas -- Maximum Likelihood Factor Analysis *;
* SEE HARMAN: MODERN FACTOR ANALYSIS, 2ND ED *;
********************************************************************;
OPTIONS LS=78 PS=55 PAGENO=1 NODATE;
TITLE1 'TWENTY FOUR PSYCHOLOGICAL TESTS';
/* Input the Correlation Matrix directly */
/* Note the TYPE=CORR option in the DATA statement */
DATA PSYCH24(TYPE=CORR);
INPUT _NAME_ $ TEST1-TEST24;
IF _N_=1 THEN _TYPE_='N ';
ELSE _TYPE_='CORR';
LABEL
TEST1='VISUAL PERCEPTION' TEST2='CUBES'
TEST3='PAPER FORM BOARD' TEST4='FLAGS'
TEST5='GENERAL INFORMATION' TEST6='PARAGRAPH COMPREHENSION'
TEST7='SENTENCE COMPLETION' TEST8='WORD CLASSIFICATION'
TEST9='WORD MEANING' TEST10='ADDITION'
TEST11='CODE' TEST12='COUNTING DOTS'
TEST13='STRAIGHT-CURVED CAPITALS' TEST14='WORD RECOGNITION'
TEST15='NUMBER RECOGNITION' TEST16='FIGURE RECOGNITION'
TEST17='OBJECT - NUMBER' TEST18='NUMBER - FIGURE'
TEST19='FIGURE - WORD' TEST20='DEDUCTION'
TEST21='NUMERICAL PUZZLES' TEST22='PROBLEM REASONING'
TEST23='SERIES COMPLETION' TEST24='ARITHMETIC PROBLEMS';
DATALINES;
DF 146 146 146 146 146
146 146 146 146 146
146 146 146 146 146
146 146 146 146 146
146 146 146 146
TEST1 1.000 0.318 0.403 0.468 0.321
0.335 0.304 0.332 0.326 0.116
0.308 0.314 0.489 0.125 0.238
0.414 0.176 0.368 0.270 0.365
0.369 0.413 0.474 0.282
TEST2 0.318 1.000 0.317 0.230 0.285
0.234 0.157 0.157 0.195 0.057
0.150 0.145 0.239 0.103 0.131
0.272 0.005 0.255 0.112 0.292
0.306 0.232 0.348 0.211
TEST3 0.403 0.317 1.000 0.305 0.247
0.268 0.223 0.382 0.184 -0.075
0.091 0.140 0.321 0.177 0.065
0.263 0.177 0.211 0.312 0.297
0.165 0.250 0.383 0.203
TEST4 0.468 0.230 0.305 1.000 0.227
0.327 0.335 0.391 0.325 0.099
0.110 0.160 0.327 0.066 0.127
0.322 0.187 0.251 0.137 0.339
0.349 0.380 0.335 0.248
TEST5 0.321 0.285 0.247 0.227 1.000
0.622 0.656 0.578 0.723 0.311
0.344 0.215 0.344 0.280 0.229
0.187 0.208 0.263 0.190 0.398
0.318 0.441 0.435 0.420
TEST6 0.335 0.234 0.268 0.327 0.622
1.000 0.722 0.527 0.714 0.203
0.353 0.095 0.309 0.292 0.251
0.291 0.273 0.167 0.251 0.435
0.263 0.386 0.431 0.433
TEST7 0.304 0.157 0.223 0.335 0.656
0.722 1.000 0.619 0.685 0.246
0.232 0.181 0.345 0.236 0.172
0.180 0.228 0.159 0.226 0.451
0.314 0.396 0.405 0.437
TEST8 0.332 0.157 0.382 0.391 0.578
0.527 0.619 1.000 0.532 0.285
0.300 0.271 0.395 0.252 0.175
0.296 0.255 0.250 0.274 0.427
0.362 0.357 0.501 0.388
TEST9 0.326 0.195 0.184 0.325 0.723
0.714 0.685 0.532 1.000 0.170
0.280 0.113 0.280 0.260 0.248
0.242 0.274 0.208 0.274 0.446
0.266 0.483 0.504 0.424
TEST10 0.116 0.057 -0.075 0.099 0.311
0.203 0.246 0.285 0.170 1.000
0.484 0.585 0.408 0.172 0.154
0.124 0.289 0.317 0.190 0.173
0.405 0.160 0.262 0.531
TEST11 0.308 0.150 0.091 0.110 0.344
0.353 0.232 0.300 0.280 0.484
1.000 0.428 0.535 0.350 0.240
0.314 0.362 0.350 0.290 0.202
0.399 0.304 0.251 0.412
TEST12 0.314 0.145 0.140 0.160 0.215
0.095 0.181 0.271 0.113 0.585
0.428 1.000 0.512 0.131 0.173
0.119 0.278 0.349 0.110 0.246
0.355 0.193 0.350 0.414
TEST13 0.489 0.239 0.321 0.327 0.344
0.309 0.345 0.395 0.280 0.408
0.535 0.512 1.000 0.195 0.139
0.281 0.194 0.323 0.263 0.241
0.425 0.279 0.382 0.358
TEST14 0.125 0.103 0.177 0.066 0.280
0.292 0.236 0.252 0.260 0.172
0.350 0.131 0.195 1.000 0.370
0.412 0.341 0.201 0.206 0.302
0.183 0.243 0.242 0.304
TEST15 0.238 0.131 0.065 0.127 0.229
0.251 0.172 0.175 0.248 0.154
0.240 0.173 0.139 0.370 1.000
0.325 0.345 0.334 0.192 0.272
0.232 0.246 0.256 0.165
TEST16 0.414 0.272 0.263 0.322 0.187
0.291 0.180 0.296 0.242 0.124
0.314 0.119 0.281 0.412 0.325
1.000 0.324 0.344 0.258 0.388
0.348 0.283 0.360 0.262
TEST17 0.176 0.005 0.177 0.187 0.208
0.273 0.228 0.255 0.274 0.289
0.362 0.278 0.194 0.341 0.345
0.324 1.000 0.448 0.324 0.262
0.173 0.273 0.287 0.326
TEST18 0.368 0.255 0.211 0.251 0.263
0.167 0.159 0.250 0.208 0.317
0.350 0.349 0.323 0.201 0.334
0.344 0.448 1.000 0.358 0.301
0.357 0.317 0.272 0.405
TEST19 0.270 0.112 0.312 0.137 0.190
0.251 0.226 0.274 0.274 0.190
0.290 0.110 0.263 0.206 0.192
0.258 0.324 0.358 1.000 0.167
0.331 0.342 0.303 0.374
TEST20 0.365 0.292 0.297 0.339 0.398
0.435 0.451 0.427 0.446 0.173
0.202 0.246 0.241 0.302 0.272
0.388 0.262 0.301 0.167 1.000
0.413 0.463 0.509 0.366
TEST21 0.369 0.306 0.165 0.349 0.318
0.263 0.314 0.362 0.266 0.405
0.399 0.355 0.425 0.183 0.232
0.348 0.173 0.357 0.331 0.413
1.000 0.374 0.451 0.448
TEST22 0.413 0.232 0.250 0.380 0.441
0.386 0.396 0.357 0.483 0.160
0.304 0.193 0.279 0.243 0.246
0.283 0.273 0.317 0.342 0.463
0.374 1.000 0.503 0.375
TEST23 0.474 0.348 0.383 0.335 0.435
0.431 0.405 0.501 0.504 0.262
0.251 0.350 0.382 0.242 0.256
0.360 0.287 0.272 0.303 0.509
0.451 0.503 1.000 0.434
TEST24 0.282 0.211 0.203 0.248 0.420
0.433 0.437 0.388 0.424 0.531
0.412 0.414 0.358 0.304 0.165
0.262 0.326 0.405 0.374 0.366
0.448 0.375 0.434 1.000
;
PROC PRINT DATA=PSYCH24;
RUN;
/* Use PROC FACTOR to perform an exploratory analysis */
/* Since we have input a correlation matrix, PROC FACTOR */
/* will know what variables to include in the analysis. */
TITLE2 "MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS";
PROC FACTOR DATA=PSYCH24 METHOD=ML NFACT=4 SCREE
PREROTATE=VARIMAX ROTATE=PROMAX;
RUN;
/* Now assume that we had a model in mind before these */
/* data were collected, and the data were collected to */
/* test the model. Use PROC CALIS to fit a confirmatory */
/* factor analysis model. We'll also request analysis of */
/* RESIDUALs and computation of MODIFICATION indices for */
/* adding new paths to our model. */
TITLE2 "MAXIMUM LIKELIHOOD CONFIRMATORY FACTOR ANALYSIS";
PROC CALIS DATA=PSYCH24 RESIDUAL MODIFICATION;
LINEQS /* specify the equations linking factors with variables */
TEST1 = LT1F1 F1 + E1,
TEST2 = LT2F1 F1 + E2,
TEST3 = LT3F1 F1 + E3,
TEST4 = LT4F1 F1 + E4,
TEST5 = LT5F2 F2 + E5,
TEST6 = LT6F2 F2 + E6,
TEST7 = LT7F2 F2 + E7,
TEST8 = LT8F2 F2 + E8,
TEST9 = LT9F2 F2 + E9,
TEST10 = LT10F3 F3 + E10,
TEST11 = LT11F3 F3 + E11,
TEST12 = LT12F3 F3 + E12,
TEST13 = LT13F3 F3 + E13,
TEST14 = LT14F4 F4 + E14,
TEST15 = LT15F4 F4 + E15,
TEST16 = LT16F4 F4 + E16,
TEST17 = LT17F4 F4 + E17,
TEST18 = LT18F4 F4 + E18,
TEST19 = LT19F4 F4 + E19,
TEST20 = LT20F1 F1 + E20,
TEST21 = LT21F1 F1 + E21,
TEST22 = LT22F1 F1 + E22,
TEST23 = LT23F1 F1 + E23,
TEST24 = LT24F3 F3 + E24;
STD /* specify variances of common and unique factors */
F1=1,
F2=1,
F3=1,
F4=1,
E1-E24 = VARE1-VARE24;
COV /* specify covariances among common factors */
F1 F2 = CF1F2,
F1 F3 = CF1F3,
F1 F4 = CF1F4,
F2 F3 = CF2F3,
F2 F4 = CF2F4,
F3 F4 = CF3F4;
VAR TEST1-TEST24;
RUN;
To Top
TWENTY FOUR PSYCHOLOGICAL TESTS 1
OBS _NAME_ TEST1 TEST2 TEST3 TEST4 TEST5 TEST6 TEST7 TEST8
1 DF 146.000 146.000 146.000 146.000 146.000 146.000 146.000 146.000
2 TEST1 1.000 0.318 0.403 0.468 0.321 0.335 0.304 0.332
3 TEST2 0.318 1.000 0.317 0.230 0.285 0.234 0.157 0.157
4 TEST3 0.403 0.317 1.000 0.305 0.247 0.268 0.223 0.382
5 TEST4 0.468 0.230 0.305 1.000 0.227 0.327 0.335 0.391
6 TEST5 0.321 0.285 0.247 0.227 1.000 0.622 0.656 0.578
7 TEST6 0.335 0.234 0.268 0.327 0.622 1.000 0.722 0.527
8 TEST7 0.304 0.157 0.223 0.335 0.656 0.722 1.000 0.619
9 TEST8 0.332 0.157 0.382 0.391 0.578 0.527 0.619 1.000
10 TEST9 0.326 0.195 0.184 0.325 0.723 0.714 0.685 0.532
11 TEST10 0.116 0.057 -0.075 0.099 0.311 0.203 0.246 0.285
12 TEST11 0.308 0.150 0.091 0.110 0.344 0.353 0.232 0.300
13 TEST12 0.314 0.145 0.140 0.160 0.215 0.095 0.181 0.271
14 TEST13 0.489 0.239 0.321 0.327 0.344 0.309 0.345 0.395
15 TEST14 0.125 0.103 0.177 0.066 0.280 0.292 0.236 0.252
OBS TEST9 TEST10 TEST11 TEST12 TEST13 TEST14 TEST15 TEST16 TEST17
1 146.000 146.000 146.000 146.000 146.000 146.000 146.000 146.000 146.000
2 0.326 0.116 0.308 0.314 0.489 0.125 0.238 0.414 0.176
3 0.195 0.057 0.150 0.145 0.239 0.103 0.131 0.272 0.005
4 0.184 -0.075 0.091 0.140 0.321 0.177 0.065 0.263 0.177
5 0.325 0.099 0.110 0.160 0.327 0.066 0.127 0.322 0.187
6 0.723 0.311 0.344 0.215 0.344 0.280 0.229 0.187 0.208
7 0.714 0.203 0.353 0.095 0.309 0.292 0.251 0.291 0.273
8 0.685 0.246 0.232 0.181 0.345 0.236 0.172 0.180 0.228
9 0.532 0.285 0.300 0.271 0.395 0.252 0.175 0.296 0.255
10 1.000 0.170 0.280 0.113 0.280 0.260 0.248 0.242 0.274
11 0.170 1.000 0.484 0.585 0.408 0.172 0.154 0.124 0.289
12 0.280 0.484 1.000 0.428 0.535 0.350 0.240 0.314 0.362
13 0.113 0.585 0.428 1.000 0.512 0.131 0.173 0.119 0.278
14 0.280 0.408 0.535 0.512 1.000 0.195 0.139 0.281 0.194
15 0.260 0.172 0.350 0.131 0.195 1.000 0.370 0.412 0.341
OBS TEST18 TEST19 TEST20 TEST21 TEST22 TEST23 TEST24 _TYPE_
1 146.000 146.000 146.000 146.000 146.000 146.000 146.000 N
2 0.368 0.270 0.365 0.369 0.413 0.474 0.282 CORR
3 0.255 0.112 0.292 0.306 0.232 0.348 0.211 CORR
4 0.211 0.312 0.297 0.165 0.250 0.383 0.203 CORR
5 0.251 0.137 0.339 0.349 0.380 0.335 0.248 CORR
6 0.263 0.190 0.398 0.318 0.441 0.435 0.420 CORR
7 0.167 0.251 0.435 0.263 0.386 0.431 0.433 CORR
8 0.159 0.226 0.451 0.314 0.396 0.405 0.437 CORR
9 0.250 0.274 0.427 0.362 0.357 0.501 0.388 CORR
10 0.208 0.274 0.446 0.266 0.483 0.504 0.424 CORR
11 0.317 0.190 0.173 0.405 0.160 0.262 0.531 CORR
12 0.350 0.290 0.202 0.399 0.304 0.251 0.412 CORR
13 0.349 0.110 0.246 0.355 0.193 0.350 0.414 CORR
14 0.323 0.263 0.241 0.425 0.279 0.382 0.358 CORR
15 0.201 0.206 0.302 0.183 0.243 0.242 0.304 CORR
TWENTY FOUR PSYCHOLOGICAL TESTS 2
OBS _NAME_ TEST1 TEST2 TEST3 TEST4 TEST5 TEST6 TEST7 TEST8
16 TEST15 0.238 0.131 0.065 0.127 0.229 0.251 0.172 0.175
17 TEST16 0.414 0.272 0.263 0.322 0.187 0.291 0.180 0.296
18 TEST17 0.176 0.005 0.177 0.187 0.208 0.273 0.228 0.255
19 TEST18 0.368 0.255 0.211 0.251 0.263 0.167 0.159 0.250
20 TEST19 0.270 0.112 0.312 0.137 0.190 0.251 0.226 0.274
21 TEST20 0.365 0.292 0.297 0.339 0.398 0.435 0.451 0.427
22 TEST21 0.369 0.306 0.165 0.349 0.318 0.263 0.314 0.362
23 TEST22 0.413 0.232 0.250 0.380 0.441 0.386 0.396 0.357
24 TEST23 0.474 0.348 0.383 0.335 0.435 0.431 0.405 0.501
25 TEST24 0.282 0.211 0.203 0.248 0.420 0.433 0.437 0.388
OBS TEST9 TEST10 TEST11 TEST12 TEST13 TEST14 TEST15 TEST16 TEST17
16 0.248 0.154 0.240 0.173 0.139 0.370 1.000 0.325 0.345
17 0.242 0.124 0.314 0.119 0.281 0.412 0.325 1.000 0.324
18 0.274 0.289 0.362 0.278 0.194 0.341 0.345 0.324 1.000
19 0.208 0.317 0.350 0.349 0.323 0.201 0.334 0.344 0.448
20 0.274 0.190 0.290 0.110 0.263 0.206 0.192 0.258 0.324
21 0.446 0.173 0.202 0.246 0.241 0.302 0.272 0.388 0.262
22 0.266 0.405 0.399 0.355 0.425 0.183 0.232 0.348 0.173
23 0.483 0.160 0.304 0.193 0.279 0.243 0.246 0.283 0.273
24 0.504 0.262 0.251 0.350 0.382 0.242 0.256 0.360 0.287
25 0.424 0.531 0.412 0.414 0.358 0.304 0.165 0.262 0.326
OBS TEST18 TEST19 TEST20 TEST21 TEST22 TEST23 TEST24 _TYPE_
16 0.334 0.192 0.272 0.232 0.246 0.256 0.165 CORR
17 0.344 0.258 0.388 0.348 0.283 0.360 0.262 CORR
18 0.448 0.324 0.262 0.173 0.273 0.287 0.326 CORR
19 1.000 0.358 0.301 0.357 0.317 0.272 0.405 CORR
20 0.358 1.000 0.167 0.331 0.342 0.303 0.374 CORR
21 0.301 0.167 1.000 0.413 0.463 0.509 0.366 CORR
22 0.357 0.331 0.413 1.000 0.374 0.451 0.448 CORR
23 0.317 0.342 0.463 0.374 1.000 0.503 0.375 CORR
24 0.272 0.303 0.509 0.451 0.503 1.000 0.434 CORR
25 0.405 0.374 0.366 0.448 0.375 0.434 1.000 CORR
TWENTY FOUR PSYCHOLOGICAL TESTS 3
MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS
Initial Factor Method: Maximum Likelihood
Prior Communality Estimates: SMC
TEST1 TEST2 TEST3 TEST4 TEST5 TEST6
0.510748 0.299567 0.440463 0.409177 0.672621 0.676552
TEST7 TEST8 TEST9 TEST10 TEST11 TEST12
0.684049 0.563790 0.713265 0.578956 0.541034 0.536785
TEST13 TEST14 TEST15 TEST16 TEST17 TEST18
0.539312 0.358445 0.292943 0.428562 0.412407 0.442532
TEST19 TEST20 TEST21 TEST22 TEST23 TEST24
0.367119 0.463653 0.473340 0.449440 0.561140 0.526519
Preliminary Eigenvalues: Total = 26.694987 Average = 1.11229113
1 2 3 4 5
Eigenvalue 17.5823 4.1597 2.5260 1.6332 0.9081
Difference 13.4226 1.6337 0.8928 0.7250 0.1809
Proportion 0.6586 0.1558 0.0946 0.0612 0.0340
Cumulative 0.6586 0.8145 0.9091 0.9703 1.0043
6 7 8 9 10
Eigenvalue 0.7273 0.6274 0.5670 0.5212 0.3430
Difference 0.0999 0.0604 0.0458 0.1782 0.0882
Proportion 0.0272 0.0235 0.0212 0.0195 0.0129
Cumulative 1.0315 1.0550 1.0763 1.0958 1.1086
11 12 13 14 15
Eigenvalue 0.2549 0.0865 0.0617 -0.0280 -0.0882
Difference 0.1683 0.0249 0.0897 0.0602 0.0656
Proportion 0.0095 0.0032 0.0023 -0.0010 -0.0033
Cumulative 1.1182 1.1214 1.1237 1.1227 1.1194
16 17 18 19 20
Eigenvalue -0.1538 -0.2306 -0.2707 -0.2845 -0.3309
Difference 0.0768 0.0402 0.0137 0.0464 0.0652
Proportion -0.0058 -0.0086 -0.0101 -0.0107 -0.0124
Cumulative 1.1136 1.1050 1.0948 1.0842 1.0718
21 22 23 24
Eigenvalue -0.3961 -0.4368 -0.5263 -0.5574
Difference 0.0407 0.0895 0.0312
Proportion -0.0148 -0.0164 -0.0197 -0.0209
Cumulative 1.0570 1.0406 1.0209 1.0000
4 factors will be retained by the NFACTOR criterion.
TWENTY FOUR PSYCHOLOGICAL TESTS 4
MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS
Initial Factor Method: Maximum Likelihood
Scree Plot of Eigenvalues
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-----+----+----+----+----+----+----+----+----+----+----+----+----+-----
0 2 4 6 8 10 12 14 16 18 20 22 24
Number
TWENTY FOUR PSYCHOLOGICAL TESTS 5
MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS
Initial Factor Method: Maximum Likelihood
Iter Criterion Ridge Change Communalities
1 1.71392 0.000 0.14874 0.54136 0.22448 0.34571 0.35295 0.64652
0.68170 0.72022 0.51741 0.74956 0.72770
0.47003 0.56915 0.51536 0.34232 0.30014
0.44772 0.41067 0.40967 0.24319 0.41477
0.41792 0.40238 0.51065 0.48513
2 1.71098 0.000 0.02319 0.55857 0.22150 0.35512 0.34979 0.64933
0.68889 0.71629 0.51536 0.74326 0.75089
0.45317 0.56766 0.51043 0.35073 0.30370
0.45128 0.40387 0.40835 0.23912 0.40967
0.41732 0.40001 0.50395 0.49759
3 1.71083 0.000 0.00726 0.56089 0.22020 0.35579 0.34911 0.64806
0.68836 0.71740 0.51466 0.74364 0.75815
0.45001 0.56585 0.50983 0.35347 0.30374
0.45127 0.40234 0.40761 0.23865 0.40864
0.41691 0.39904 0.50304 0.49948
4 1.71082 0.000 0.00156 0.56147 0.21996 0.35633 0.34886 0.64805
0.68850 0.71736 0.51465 0.74341 0.75971
0.44927 0.56519 0.50944 0.35390 0.30394
0.45103 0.40191 0.40739 0.23852 0.40844
0.41703 0.39899 0.50278 0.50007
5 1.71082 0.000 0.00044 0.56153 0.21991 0.35643 0.34881 0.64800
0.68849 0.71740 0.51464 0.74341 0.76015
0.44909 0.56500 0.50933 0.35401 0.30398
0.45095 0.40185 0.40735 0.23850 0.40839
0.41707 0.39897 0.50274 0.50019
Convergence criterion satisfied.
TWENTY FOUR PSYCHOLOGICAL TESTS 6
MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS
Initial Factor Method: Maximum Likelihood
Significance tests based on 146 observations:
Test of H0: No common factors.
vs HA: At least one common factor.
Chi-square = 1557.299 df = 276 Probchi**2 = 0.0001
Test of H0: 4 Factors are sufficient.
vs HA: More factors are needed.
Chi-square = 228.395 df = 186 Probchi**2 = 0.0186
Chi-square without Bartlett's correction = 248.06911902
Akaike's Information Criterion = -123.930881
Schwarz's Bayesian Criterion = -678.8817126
Tucker and Lewis's Reliability Coefficient = 0.9509027608
Squared Canonical Correlations
FACTOR1 FACTOR2 FACTOR3 FACTOR4
0.946530 0.829389 0.745373 0.613888
Eigenvalues of the Weighted Reduced Correlation Matrix:
Total = 27.08051 Average = 1.12835458
1 2 3 4 5
Eigenvalue 17.7020 4.8613 2.9273 1.5899 0.7794
Difference 12.8407 1.9340 1.3374 0.8105 0.1726
Proportion 0.6537 0.1795 0.1081 0.0587 0.0288
Cumulative 0.6537 0.8332 0.9413 1.0000 1.0288
6 7 8 9 10
Eigenvalue 0.6068 0.5584 0.4813 0.4528 0.2449
Difference 0.0484 0.0771 0.0285 0.2079 0.0550
Proportion 0.0224 0.0206 0.0178 0.0167 0.0090
Cumulative 1.0512 1.0718 1.0896 1.1063 1.1153
11 12 13 14 15
Eigenvalue 0.1899 0.1107 0.0194 -0.0515 -0.0836
Difference 0.0792 0.0913 0.0709 0.0321 0.0550
Proportion 0.0070 0.0041 0.0007 -0.0019 -0.0031
Cumulative 1.1224 1.1264 1.1272 1.1253 1.1222
16 17 18 19 20
Eigenvalue -0.1386 -0.2259 -0.2781 -0.3182 -0.3553
Difference 0.0873 0.0522 0.0401 0.0371 0.0564
Proportion -0.0051 -0.0083 -0.0103 -0.0117 -0.0131
Cumulative 1.1170 1.1087 1.0984 1.0867 1.0736
TWENTY FOUR PSYCHOLOGICAL TESTS 7
MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS
Initial Factor Method: Maximum Likelihood
21 22 23 24
Eigenvalue -0.4117 -0.4542 -0.5407 -0.5857
Difference 0.0425 0.0865 0.0450
Proportion -0.0152 -0.0168 -0.0200 -0.0216
Cumulative 1.0584 1.0416 1.0216 1.0000
Factor Pattern
FACTOR1 FACTOR2 FACTOR3 FACTOR4
TEST1 0.55342 0.04390 0.45372 -0.21788 VISUAL PERCEPTION
TEST2 0.34387 -0.01027 0.28899 -0.13433 CUBES
TEST3 0.37692 -0.11110 0.42087 -0.15785 PAPER FORM BOARD
TEST4 0.46482 -0.07084 0.29765 -0.19780 FLAGS
TEST5 0.74084 -0.22510 -0.21698 -0.03755 GENERAL INFORMATION
TEST6 0.73699 -0.34736 -0.14510 0.06013 PARAGRAPH COMPREHENSION
TEST7 0.73793 -0.32458 -0.24150 -0.09586 SENTENCE COMPLETION
TEST8 0.69609 -0.12060 -0.03345 -0.12012 WORD CLASSIFICATION
TEST9 0.74920 -0.39105 -0.15977 0.06046 WORD MEANING
TEST10 0.48607 0.61685 -0.37844 -0.01357 ADDITION
TEST11 0.54006 0.37002 -0.03950 0.13752 CODE
TEST12 0.44733 0.57162 -0.04044 -0.19102 COUNTING DOTS
TEST13 0.57850 0.30690 0.11722 -0.25829 STRAIGHT-CURVED CAPITALS
TEST14 0.40388 0.04476 0.08226 0.42677 WORD RECOGNITION
TEST15 0.36481 0.07087 0.16164 0.37383 NUMBER RECOGNITION
TEST16 0.45232 0.07260 0.41925 0.25555 FIGURE RECOGNITION
TEST17 0.43844 0.19015 0.08045 0.40864 OBJECT - NUMBER
TEST18 0.46444 0.31466 0.24447 0.18130 NUMBER - FIGURE
TEST19 0.41547 0.09305 0.17419 0.16395 FIGURE - WORD
TEST20 0.60196 -0.09058 0.19094 0.03702 DEDUCTION
TEST21 0.56078 0.27063 0.14596 -0.08982 NUMERICAL PUZZLES
TEST22 0.59494 -0.08052 0.19260 0.03791 PROBLEM REASONING
TEST23 0.66947 -0.00046 0.21544 -0.09021 SERIES COMPLETION
TEST24 0.65434 0.23727 -0.11262 0.05551 ARITHMETIC PROBLEMS
Variance explained by each factor
FACTOR1 FACTOR2 FACTOR3 FACTOR4
Weighted 17.701993 4.861275 2.927317 1.589925
Unweighted 7.516210 1.702258 1.327553 0.920174
TWENTY FOUR PSYCHOLOGICAL TESTS 8
MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS
Initial Factor Method: Maximum Likelihood
Final Communality Estimates and Variable Weights
Total Communality: Weighted = 27.080510 Unweighted = 11.466194
TEST1 TEST2 TEST3 TEST4 TEST5 TEST6
Communality 0.561536 0.219908 0.356466 0.348797 0.647998 0.688492
Weight 2.280655 1.281906 1.553836 1.535652 2.840912 3.210167
TEST7 TEST8 TEST9 TEST10 TEST11 TEST12
Communality 0.717398 0.514638 0.743410 0.760168 0.449057 0.564984
Weight 3.538551 2.060310 3.897308 4.169309 1.815169 2.298861
TEST13 TEST14 TEST15 TEST16 TEST17 TEST18
Communality 0.509303 0.354021 0.303988 0.450934 0.401845 0.407351
Weight 2.038025 1.548022 1.436735 1.821336 1.671820 1.687348
TEST19 TEST20 TEST21 TEST22 TEST23 TEST24
Communality 0.238495 0.408385 0.417086 0.398972 0.502739 0.500224
Weight 1.313193 1.690310 1.715474 1.663816 2.011038 2.000757
TWENTY FOUR PSYCHOLOGICAL TESTS 9
MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS
Prerotation Method: Varimax
Orthogonal Transformation Matrix
1 2 3 4
1 0.69178 0.43639 0.43137 0.38069
2 -0.55585 -0.06578 0.81201 0.16536
3 -0.45868 0.78180 -0.30923 0.28771
4 -0.04574 -0.44048 -0.24275 0.86311
Rotated Factor Pattern
FACTOR1 FACTOR2 FACTOR3 FACTOR4
TEST1 0.16030 0.68931 0.18696 0.16042 VISUAL PERCEPTION
TEST2 0.11718 0.43583 0.08324 0.09642 CUBES
TEST3 0.13668 0.57036 -0.01945 0.10997 PAPER FORM BOARD
TEST4 0.23345 0.52733 0.09896 0.08015 FLAGS
TEST5 0.73886 0.18501 0.21300 0.14997 GENERAL INFORMATION
TEST6 0.76672 0.20453 0.06613 0.23328 PARAGRAPH COMPREHENSION
TEST7 0.80605 0.19679 0.15271 0.07503 SENTENCE COMPLETION
TEST8 0.56941 0.33846 0.24185 0.13175 WORD CLASSIFICATION
TEST9 0.80617 0.20113 0.04037 0.22677 WORD MEANING
TEST10 0.16758 -0.11834 0.83089 0.16645 ADDITION
TEST11 0.17976 0.11988 0.51226 0.37411 CODE
TEST12 0.01901 0.21014 0.71601 0.08832 COUNTING DOTS
TEST13 0.18765 0.43768 0.52521 0.08177 STRAIGHT-CURVED CAPITALS
TEST14 0.19726 0.04963 0.08153 0.55317 WORD RECOGNITION
TEST15 0.12174 0.11624 0.07418 0.51976 NUMBER RECOGNITION
TEST16 0.06856 0.40782 0.06238 0.52538 FIGURE RECOGNITION
TEST17 0.14201 0.06172 0.21946 0.57420 OBJECT - NUMBER
TEST18 0.02596 0.29324 0.33625 0.45566 NUMBER - FIGURE
TEST19 0.14830 0.23915 0.16111 0.36517 FIGURE - WORD
TEST20 0.37750 0.40162 0.11808 0.30107 DEDUCTION
TEST21 0.17467 0.38059 0.43833 0.22270 NUMERICAL PUZZLES
TEST22 0.36626 0.39879 0.12249 0.30131 PROBLEM REASONING
TEST23 0.36869 0.50034 0.24369 0.23891 SERIES COMPLETION
TEST24 0.36989 0.15744 0.49628 0.30384 ARITHMETIC PROBLEMS
Variance explained by each factor
FACTOR1 FACTOR2 FACTOR3 FACTOR4
Weighted 10.592615 5.489792 6.872945 4.125159
Unweighted 3.647397 2.871979 2.656507 2.290312
TWENTY FOUR PSYCHOLOGICAL TESTS 10
MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS
Prerotation Method: Varimax
Final Communality Estimates and Variable Weights
Total Communality: Weighted = 27.080510 Unweighted = 11.466194
TEST1 TEST2 TEST3 TEST4 TEST5 TEST6
Communality 0.561536 0.219908 0.356466 0.348797 0.647998 0.688492
Weight 2.280655 1.281906 1.553836 1.535652 2.840912 3.210167
TEST7 TEST8 TEST9 TEST10 TEST11 TEST12
Communality 0.717398 0.514638 0.743410 0.760168 0.449057 0.564984
Weight 3.538551 2.060310 3.897308 4.169309 1.815169 2.298861
TEST13 TEST14 TEST15 TEST16 TEST17 TEST18
Communality 0.509303 0.354021 0.303988 0.450934 0.401845 0.407351
Weight 2.038025 1.548022 1.436735 1.821336 1.671820 1.687348
TEST19 TEST20 TEST21 TEST22 TEST23 TEST24
Communality 0.238495 0.408385 0.417086 0.398972 0.502739 0.500224
Weight 1.313193 1.690310 1.715474 1.663816 2.011038 2.000757
TWENTY FOUR PSYCHOLOGICAL TESTS 11
MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS
Rotation Method: Promax
Target Matrix for Procrustean Transformation
FACTOR1 FACTOR2 FACTOR3 FACTOR4
TEST1 0.01136 0.89281 0.01794 0.01171 VISUAL PERCEPTION
TEST2 0.01810 0.92083 0.00646 0.01037 CUBES
TEST3 0.01392 1.00000 -0.00004 0.00746 PAPER FORM BOARD
TEST4 0.07166 0.81653 0.00544 0.00298 FLAGS
TEST5 0.89716 0.01392 0.02141 0.00772 GENERAL INFORMATION
TEST6 0.91541 0.01718 0.00058 0.02653 PARAGRAPH COMPREHENSION
TEST7 1.00000 0.01439 0.00677 0.00083 SENTENCE COMPLETION
TEST8 0.58020 0.12046 0.04427 0.00739 WORD CLASSIFICATION
TEST9 0.94838 0.01456 0.00012 0.02172 WORD MEANING
TEST10 0.00824 -0.00287 1.00000 0.00831 ADDITION
TEST11 0.02240 0.00657 0.51613 0.20770 CODE
TEST12 0.00002 0.02506 0.99870 0.00194 COUNTING DOTS
TEST13 0.02109 0.26459 0.46053 0.00180 STRAIGHT-CURVED CAPITALS
TEST14 0.04228 0.00067 0.00297 0.95920 WORD RECOGNITION
TEST15 0.01249 0.01075 0.00281 1.00000 NUMBER RECOGNITION
TEST16 0.00124 0.25692 0.00093 0.57165 FIGURE RECOGNITION
TEST17 0.01305 0.00106 0.04794 0.88711 OBJECT - NUMBER
TEST18 0.00008 0.11125 0.16895 0.43435 NUMBER - FIGURE
TEST19 0.03249 0.13470 0.04149 0.49906 FIGURE - WORD
TEST20 0.23916 0.28471 0.00729 0.12481 DEDUCTION
TEST21 0.02295 0.23475 0.36124 0.04895 NUMERICAL PUZZLES
TEST22 0.22620 0.28868 0.00843 0.12957 PROBLEM REASONING
TEST23 0.16312 0.40306 0.04691 0.04566 SERIES COMPLETION
TEST24 0.16597 0.01265 0.39919 0.09464 ARITHMETIC PROBLEMS
Procrustean Transformation Matrix
1 2 3 4
1 1.25393 -0.26062 -0.12800 -0.23147
2 -0.22099 1.36843 -0.14435 -0.26025
3 -0.15349 -0.12436 1.18499 -0.26215
4 -0.18943 -0.22958 -0.17562 1.57869
Normalized Oblique Transformation Matrix
1 2 3 4
1 0.59399 0.23887 0.28046 0.16117
2 -0.78715 -0.07282 0.97120 0.14593
3 -0.70879 1.00613 -0.45130 0.32952
4 -0.08098 -0.65714 -0.35425 1.16727
TWENTY FOUR PSYCHOLOGICAL TESTS 12
MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS
Rotation Method: Promax
Inter-factor Correlations
FACTOR1 FACTOR2 FACTOR3 FACTOR4
FACTOR1 1.00000 0.48807 0.39270 0.45678
FACTOR2 0.48807 1.00000 0.38889 0.47621
FACTOR3 0.39270 0.38889 1.00000 0.44137
FACTOR4 0.45678 0.47621 0.44137 1.00000
Rotated Factor Pattern (Std Reg Coefs)
FACTOR1 FACTOR2 FACTOR3 FACTOR4
TEST1 -0.00977 0.72868 0.07027 -0.00921 VISUAL PERCEPTION
TEST2 0.01839 0.46191 0.00364 -0.00764 CUBES
TEST3 0.02581 0.62531 -0.13621 -0.00102 PAPER FORM BOARD
TEST4 0.13690 0.54565 -0.00269 -0.06823 FLAGS
TEST5 0.77407 -0.00027 0.10038 -0.02878 GENERAL INFORMATION
TEST6 0.80917 0.01583 -0.08647 0.09046 PARAGRAPH COMPREHENSION
TEST7 0.87275 0.01991 0.03468 -0.11991 SENTENCE COMPLETION
TEST8 0.54184 0.22034 0.13575 -0.05665 WORD CLASSIFICATION
TEST9 0.86119 0.00696 -0.11898 0.08160 WORD MEANING
TEST10 0.07250 -0.30065 0.91101 0.02781 ADDITION
TEST11 0.04640 -0.02806 0.47994 0.28855 CODE
TEST12 -0.14011 0.15007 0.76654 -0.08077 COUNTING DOTS
TEST13 0.03988 0.40351 0.49891 -0.12485 STRAIGHT-CURVED CAPITALS
TEST14 0.11180 -0.10447 -0.03156 0.59689 WORD RECOGNITION
TEST15 0.01608 -0.00105 -0.03423 0.55876 NUMBER RECOGNITION
TEST16 -0.10632 0.35664 -0.08237 0.51994 FIGURE RECOGNITION
TEST17 0.02064 -0.09671 0.12657 0.60192 OBJECT - NUMBER
TEST18 -0.15977 0.21485 0.26130 0.41296 NUMBER - FIGURE
TEST19 0.03680 0.15999 0.07020 0.32931 FIGURE - WORD
TEST20 0.29053 0.31817 -0.01843 0.18993 DEDUCTION
TEST21 0.02390 0.32012 0.38606 0.07313 NUMERICAL PUZZLES
TEST22 0.27720 0.31684 -0.01170 0.19185 PROBLEM REASONING
TEST23 0.25263 0.43598 0.12204 0.07353 SERIES COMPLETION
TEST24 0.27724 -0.01077 0.44512 0.16777 ARITHMETIC PROBLEMS
Reference Axis Correlations
FACTOR1 FACTOR2 FACTOR3 FACTOR4
FACTOR1 1.00000 -0.30840 -0.17623 -0.23152
FACTOR2 -0.30840 1.00000 -0.15772 -0.26953
FACTOR3 -0.17623 -0.15772 1.00000 -0.26202
FACTOR4 -0.23152 -0.26953 -0.26202 1.00000
TWENTY FOUR PSYCHOLOGICAL TESTS 13
MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS
Rotation Method: Promax
Reference Structure (Semipartial Correlations)
FACTOR1 FACTOR2 FACTOR3 FACTOR4
TEST1 -0.00803 0.59368 0.06045 -0.00748 VISUAL PERCEPTION
TEST2 0.01511 0.37634 0.00313 -0.00620 CUBES
TEST3 0.02121 0.50946 -0.11719 -0.00083 PAPER FORM BOARD
TEST4 0.11248 0.44456 -0.00232 -0.05537 FLAGS
TEST5 0.63599 -0.00022 0.08636 -0.02336 GENERAL INFORMATION
TEST6 0.66483 0.01290 -0.07440 0.07341 PARAGRAPH COMPREHENSION
TEST7 0.71706 0.01622 0.02984 -0.09731 SENTENCE COMPLETION
TEST8 0.44518 0.17952 0.11679 -0.04597 WORD CLASSIFICATION
TEST9 0.70756 0.00567 -0.10236 0.06622 WORD MEANING
TEST10 0.05957 -0.24495 0.78376 0.02257 ADDITION
TEST11 0.03812 -0.02286 0.41291 0.23417 CODE
TEST12 -0.11512 0.12226 0.65947 -0.06555 COUNTING DOTS
TEST13 0.03277 0.32875 0.42922 -0.10132 STRAIGHT-CURVED CAPITALS
TEST14 0.09185 -0.08512 -0.02715 0.48440 WORD RECOGNITION
TEST15 0.01321 -0.00086 -0.02945 0.45346 NUMBER RECOGNITION
TEST16 -0.08736 0.29057 -0.07087 0.42195 FIGURE RECOGNITION
TEST17 0.01696 -0.07880 0.10889 0.48848 OBJECT - NUMBER
TEST18 -0.13127 0.17504 0.22481 0.33513 NUMBER - FIGURE
TEST19 0.03024 0.13035 0.06040 0.26725 FIGURE - WORD
TEST20 0.23870 0.25922 -0.01586 0.15413 DEDUCTION
TEST21 0.01963 0.26081 0.33214 0.05935 NUMERICAL PUZZLES
TEST22 0.22775 0.25814 -0.01006 0.15570 PROBLEM REASONING
TEST23 0.20756 0.35521 0.10499 0.05967 SERIES COMPLETION
TEST24 0.22778 -0.00877 0.38295 0.13615 ARITHMETIC PROBLEMS
Variance explained by each factor eliminating other factors
FACTOR1 FACTOR2 FACTOR3 FACTOR4
Weighted 7.249287 3.110344 5.013466 2.007101
Unweighted 2.331095 1.641134 1.800336 1.209256
TWENTY FOUR PSYCHOLOGICAL TESTS 14
MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS
Rotation Method: Promax
Factor Structure (Correlations)
FACTOR1 FACTOR2 FACTOR3 FACTOR4
TEST1 0.36926 0.74684 0.34573 0.36434 VISUAL PERCEPTION
TEST2 0.24177 0.46866 0.18711 0.22233 CUBES
TEST3 0.27705 0.58445 0.11665 0.24842 PAPER FORM BOARD
TEST4 0.37100 0.57893 0.23315 0.25296 FLAGS
TEST5 0.80021 0.40286 0.39155 0.36897 GENERAL INFORMATION
TEST6 0.82427 0.42022 0.27738 0.42945 PARAGRAPH COMPREHENSION
TEST7 0.84132 0.40227 0.33223 0.30354 SENTENCE COMPLETION
TEST8 0.67682 0.51062 0.40922 0.35570 WORD CLASSIFICATION
TEST9 0.85514 0.41987 0.25793 0.42578 WORD MEANING
TEST10 0.29622 0.10226 0.83483 0.31985 ADDITION
TEST11 0.35298 0.31864 0.61461 0.50821 CODE
TEST12 0.19726 0.34131 0.73422 0.26502 COUNTING DOTS
TEST13 0.37572 0.55754 0.61638 0.30573 STRAIGHT-CURVED CAPITALS
TEST14 0.32106 0.22206 0.23517 0.58428 WORD RECOGNITION
TEST15 0.25735 0.25957 0.21829 0.55050 NUMBER RECOGNITION
TEST16 0.27289 0.52032 0.24406 0.60485 FIGURE RECOGNITION
TEST17 0.29808 0.24922 0.36274 0.62115 OBJECT - NUMBER
TEST18 0.23634 0.43514 0.46438 0.55762 NUMBER - FIGURE
TEST19 0.29288 0.36207 0.29222 0.45329 FIGURE - WORD
TEST20 0.52533 0.54324 0.30322 0.46601 DEDUCTION
TEST21 0.36515 0.51674 0.55221 0.40688 NUMERICAL PUZZLES
TEST22 0.51488 0.53895 0.30505 0.46419 PROBLEM REASONING
TEST23 0.54693 0.64176 0.42325 0.45041 SERIES COMPLETION
TEST24 0.52341 0.37754 0.62385 0.48574 ARITHMETIC PROBLEMS
Variance explained by each factor ignoring other factors
FACTOR1 FACTOR2 FACTOR3 FACTOR4
Weighted 15.016023 10.368434 10.635403 9.038958
Unweighted 5.740295 5.108167 4.444238 4.502200
TWENTY FOUR PSYCHOLOGICAL TESTS 15
MAXIMUM LIKELIHOOD EXPLORATORY FACTOR ANALYSIS
Rotation Method: Promax
Final Communality Estimates and Variable Weights
Total Communality: Weighted = 27.080510 Unweighted = 11.466194
TEST1 TEST2 TEST3 TEST4 TEST5 TEST6
Communality 0.561536 0.219908 0.356466 0.348797 0.647998 0.688492
Weight 2.280655 1.281906 1.553836 1.535652 2.840912 3.210167
TEST7 TEST8 TEST9 TEST10 TEST11 TEST12
Communality 0.717398 0.514638 0.743410 0.760168 0.449057 0.564984
Weight 3.538551 2.060310 3.897308 4.169309 1.815169 2.298861
TEST13 TEST14 TEST15 TEST16 TEST17 TEST18
Communality 0.509303 0.354021 0.303988 0.450934 0.401845 0.407351
Weight 2.038025 1.548022 1.436735 1.821336 1.671820 1.687348
TEST19 TEST20 TEST21 TEST22 TEST23 TEST24
Communality 0.238495 0.408385 0.417086 0.398972 0.502739 0.500224
Weight 1.313193 1.690310 1.715474 1.663816 2.011038 2.000757
TWENTY FOUR PSYCHOLOGICAL TESTS 16
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Pattern and Initial Values
LINEQS Model Statement
-------------------------------
Matrix Rows & Cols Matrix Type
TERM 1-----------------------------------------------------------
1 _SEL_ 24 52 SELECTION
2 _BETA_ 52 52 EQSBETA IMINUSINV
3 _GAMMA_ 52 28 EQSGAMMA
4 _PHI_ 28 28 SYMMETRIC
Number of endogenous variables = 24
Manifest: TEST1 TEST2 TEST3 TEST4 TEST5 TEST6
TEST7 TEST8 TEST9 TEST10 TEST11 TEST12
TEST13 TEST14 TEST15 TEST16 TEST17 TEST18
TEST19 TEST20 TEST21 TEST22 TEST23 TEST24
Number of exogenous variables = 28
Latent: F1 F2 F3 F4
Error: E1 E2 E3 E4 E5 E6
E7 E8 E9 E10 E11 E12
E13 E14 E15 E16 E17 E18
E19 E20 E21 E22 E23 E24
TWENTY FOUR PSYCHOLOGICAL TESTS 17
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Pattern and Initial Values
Manifest Variable Equations
Initial Estimates
TEST1 = . *F1 + 1.0000 E1
LT1F1
TEST2 = . *F1 + 1.0000 E2
LT2F1
TEST3 = . *F1 + 1.0000 E3
LT3F1
TEST4 = . *F1 + 1.0000 E4
LT4F1
TEST5 = . *F2 + 1.0000 E5
LT5F2
TEST6 = . *F2 + 1.0000 E6
LT6F2
TEST7 = . *F2 + 1.0000 E7
LT7F2
TEST8 = . *F2 + 1.0000 E8
LT8F2
TEST9 = . *F2 + 1.0000 E9
LT9F2
TEST10 = . *F3 + 1.0000 E10
LT10F3
TEST11 = . *F3 + 1.0000 E11
LT11F3
TEST12 = . *F3 + 1.0000 E12
LT12F3
TEST13 = . *F3 + 1.0000 E13
LT13F3
TEST14 = . *F4 + 1.0000 E14
LT14F4
TEST15 = . *F4 + 1.0000 E15
LT15F4
TEST16 = . *F4 + 1.0000 E16
LT16F4
TWENTY FOUR PSYCHOLOGICAL TESTS 18
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Pattern and Initial Values
TEST17 = . *F4 + 1.0000 E17
LT17F4
TEST18 = . *F4 + 1.0000 E18
LT18F4
TEST19 = . *F4 + 1.0000 E19
LT19F4
TEST20 = . *F1 + 1.0000 E20
LT20F1
TEST21 = . *F1 + 1.0000 E21
LT21F1
TEST22 = . *F1 + 1.0000 E22
LT22F1
TEST23 = . *F1 + 1.0000 E23
LT23F1
TEST24 = . *F3 + 1.0000 E24
LT24F3
Variances of Exogenous Variables
-------------------------------------
Variable Parameter Estimate
-------------------------------------
F1 1.000000
F2 1.000000
F3 1.000000
F4 1.000000
E1 VARE1 .
E2 VARE2 .
E3 VARE3 .
E4 VARE4 .
E5 VARE5 .
E6 VARE6 .
E7 VARE7 .
E8 VARE8 .
E9 VARE9 .
E10 VARE10 .
E11 VARE11 .
E12 VARE12 .
E13 VARE13 .
E14 VARE14 .
E15 VARE15 .
E16 VARE16 .
TWENTY FOUR PSYCHOLOGICAL TESTS 19
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Pattern and Initial Values
Variances of Exogenous Variables
-------------------------------------
Variable Parameter Estimate
-------------------------------------
E17 VARE17 .
E18 VARE18 .
E19 VARE19 .
E20 VARE20 .
E21 VARE21 .
E22 VARE22 .
E23 VARE23 .
E24 VARE24 .
Covariances among Exogenous Variables
------------------------------------------
Parameter Estimate
------------------------------------------
F2 F1 CF1F2 .
F3 F1 CF1F3 .
F3 F2 CF2F3 .
F4 F1 CF1F4 .
F4 F2 CF2F4 .
F4 F3 CF3F4 .
TWENTY FOUR PSYCHOLOGICAL TESTS 20
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
146 Observations Model Terms 1
24 Variables Model Matrices 4
300 Informations Parameters 54
VARIABLE Mean Std Dev
TEST1 0 1.000000000 VISUAL PERCEPTION
TEST2 0 1.000000000 CUBES
TEST3 0 1.000000000 PAPER FORM BOARD
TEST4 0 1.000000000 FLAGS
TEST5 0 1.000000000 GENERAL INFORMATION
TEST6 0 1.000000000 PARAGRAPH COMPREHENSION
TEST7 0 1.000000000 SENTENCE COMPLETION
TEST8 0 1.000000000 WORD CLASSIFICATION
TEST9 0 1.000000000 WORD MEANING
TEST10 0 1.000000000 ADDITION
TEST11 0 1.000000000 CODE
TEST12 0 1.000000000 COUNTING DOTS
TEST13 0 1.000000000 STRAIGHT-CURVED CAPITALS
TEST14 0 1.000000000 WORD RECOGNITION
TEST15 0 1.000000000 NUMBER RECOGNITION
TEST16 0 1.000000000 FIGURE RECOGNITION
TEST17 0 1.000000000 OBJECT - NUMBER
TEST18 0 1.000000000 NUMBER - FIGURE
TEST19 0 1.000000000 FIGURE - WORD
TEST20 0 1.000000000 DEDUCTION
TEST21 0 1.000000000 NUMERICAL PUZZLES
TEST22 0 1.000000000 PROBLEM REASONING
TEST23 0 1.000000000 SERIES COMPLETION
TEST24 0 1.000000000 ARITHMETIC PROBLEMS
Some initial estimates computed by instrumental variable method.
TWENTY FOUR PSYCHOLOGICAL TESTS 21
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Vector of Initial Estimates
LT1F1 1 0.68918 Matrix Entry: _GAMMA_[1:1]
LT2F1 2 0.42346 Matrix Entry: _GAMMA_[2:1]
LT3F1 3 0.43009 Matrix Entry: _GAMMA_[3:1]
LT4F1 4 0.53154 Matrix Entry: _GAMMA_[4:1]
LT5F2 5 0.84579 Matrix Entry: _GAMMA_[5:2]
LT6F2 6 0.80701 Matrix Entry: _GAMMA_[6:2]
LT7F2 7 0.78665 Matrix Entry: _GAMMA_[7:2]
LT8F2 8 0.73925 Matrix Entry: _GAMMA_[8:2]
LT9F2 9 0.81719 Matrix Entry: _GAMMA_[9:2]
LT10F3 10 0.70942 Matrix Entry: _GAMMA_[10:3]
LT11F3 11 0.67914 Matrix Entry: _GAMMA_[11:3]
LT12F3 12 0.63826 Matrix Entry: _GAMMA_[12:3]
LT13F3 13 0.65464 Matrix Entry: _GAMMA_[13:3]
LT14F4 14 0.59217 Matrix Entry: _GAMMA_[14:4]
LT15F4 15 0.48086 Matrix Entry: _GAMMA_[15:4]
LT16F4 16 0.58452 Matrix Entry: _GAMMA_[16:4]
LT17F4 17 0.58776 Matrix Entry: _GAMMA_[17:4]
LT18F4 18 0.60543 Matrix Entry: _GAMMA_[18:4]
LT19F4 19 0.53317 Matrix Entry: _GAMMA_[19:4]
LT20F1 20 0.66109 Matrix Entry: _GAMMA_[20:1]
LT21F1 21 0.64607 Matrix Entry: _GAMMA_[21:1]
LT22F1 22 0.63985 Matrix Entry: _GAMMA_[22:1]
LT23F1 23 0.74316 Matrix Entry: _GAMMA_[23:1]
LT24F3 24 0.72706 Matrix Entry: _GAMMA_[24:3]
CF1F2 25 0.71217 Matrix Entry: _PHI_[2:1]
CF1F3 26 0.63538 Matrix Entry: _PHI_[3:1]
CF2F3 27 0.54304 Matrix Entry: _PHI_[3:2]
CF1F4 28 0.71381 Matrix Entry: _PHI_[4:1]
CF2F4 29 0.52099 Matrix Entry: _PHI_[4:2]
CF3F4 30 0.65960 Matrix Entry: _PHI_[4:3]
VARE1 31 0.52502 Matrix Entry: _PHI_[5:5]
VARE2 32 0.82068 Matrix Entry: _PHI_[6:6]
VARE3 33 0.81502 Matrix Entry: _PHI_[7:7]
VARE4 34 0.71747 Matrix Entry: _PHI_[8:8]
VARE5 35 0.28463 Matrix Entry: _PHI_[9:9]
VARE6 36 0.34873 Matrix Entry: _PHI_[10:10]
VARE7 37 0.38119 Matrix Entry: _PHI_[11:11]
VARE8 38 0.45351 Matrix Entry: _PHI_[12:12]
VARE9 39 0.33220 Matrix Entry: _PHI_[13:13]
VARE10 40 0.49673 Matrix Entry: _PHI_[14:14]
VARE11 41 0.53877 Matrix Entry: _PHI_[15:15]
VARE12 42 0.59263 Matrix Entry: _PHI_[16:16]
VARE13 43 0.57145 Matrix Entry: _PHI_[17:17]
VARE14 44 0.64933 Matrix Entry: _PHI_[18:18]
VARE15 45 0.76877 Matrix Entry: _PHI_[19:19]
VARE16 46 0.65834 Matrix Entry: _PHI_[20:20]
VARE17 47 0.65454 Matrix Entry: _PHI_[21:21]
VARE18 48 0.63346 Matrix Entry: _PHI_[22:22]
TWENTY FOUR PSYCHOLOGICAL TESTS 22
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
VARE19 49 0.71573 Matrix Entry: _PHI_[23:23]
VARE20 50 0.56296 Matrix Entry: _PHI_[24:24]
VARE21 51 0.58259 Matrix Entry: _PHI_[25:25]
VARE22 52 0.59059 Matrix Entry: _PHI_[26:26]
VARE23 53 0.44771 Matrix Entry: _PHI_[27:27]
VARE24 54 0.47139 Matrix Entry: _PHI_[28:28]
TWENTY FOUR PSYCHOLOGICAL TESTS 23
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Dual Quasi-Newton Optimization
Dual Broyden - Fletcher - Goldfarb - Shanno Update (DBFGS)
Number of Parameter Estimates 54
Number of Functions (Observations) 300
Optimization Start: Active Constraints= 0 Criterion= 2.867
Maximum Gradient Element= 0.363
Iter rest nfun act optcrit difcrit maxgrad alpha slope
1 0 5 0 2.8117 0.0548 0.529 0.0282 -8.086
2 0 7 0 2.7826 0.0291 0.235 0.564 -0.0884
3 0 8 0 2.7736 0.00903 0.140 1.000 -0.0265
4 0 9 0 2.7703 0.00328 0.0184 1.000 -0.0066
5 0 10 0 2.7698 0.000522 0.0105 1.000 -0.0009
6 0 11 0 2.7696 0.000158 0.00902 1.000 -0.0004
7 0 12 0 2.7696 0.000032 0.00322 1.000 -0.0001
8 0 13 0 2.7696 8.217E-6 0.00146 1.000 -144E-7
9 0 14 0 2.7696 3.146E-6 0.00099 1.000 -463E-8
10 0 15 0 2.7696 1.857E-6 0.00059 1.000 -299E-8
11 0 16 0 2.7696 9.671E-7 0.00046 1.000 -141E-8
12 0 17 0 2.7696 6.286E-7 0.0004 1.000 -101E-8
13 0 18 0 2.7696 1.936E-7 0.00034 1.000 -346E-9
14 0 19 0 2.7696 6.783E-8 0.00014 1.000 -129E-9
15 0 20 0 2.7696 2.076E-8 0.00006 1.000 -32E-9
16 0 21 0 2.7696 4.295E-9 0.00002 1.000 -76E-10
Optimization Results: Iterations= 16 Function Calls= 22 Gradient Calls= 20
Active Constraints= 0 Criterion= 2.7695585
Maximum Gradient Element= 0.0000199652 Slope= -7.58662E-9
NOTE: GCONV convergence criterion satisfied.
TWENTY FOUR PSYCHOLOGICAL TESTS 24
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Fit criterion . . . . . . . . . . . . . . . . . . 2.7696
Goodness of Fit Index (GFI) . . . . . . . . . . . 0.8164
GFI Adjusted for Degrees of Freedom (AGFI). . . . 0.7761
Root Mean Square Residual (RMR) . . . . . . . . . 0.0735
Parsimonious GFI (Mulaik, 1989) . . . . . . . . . 0.7276
Chi-square = 401.5860 df = 246 Probchi**2 = 0.0001
Null Model Chi-square: df = 276 1658.3228
RMSEA Estimate . . . . . . 0.0660 90%C.I.[0.0542, 0.0775]
Probability of Close Fit . . . . . . . . . . . . 0.0147
ECVI Estimate . . . . . . . 3.6696 90%C.I.[3.3062, 4.1002]
Bentler's Comparative Fit Index . . . . . . . . . 0.8874
Normal Theory Reweighted LS Chi-square . . . . . 391.3739
Akaike's Information Criterion. . . . . . . . . . -90.4140
Bozdogan's (1987) CAIC. . . . . . . . . . . . . . -1070.3812
Schwarz's Bayesian Criterion. . . . . . . . . . . -824.3812
McDonald's (1989) Centrality. . . . . . . . . . . 0.5869
Bentler & Bonett's (1980) Non-normed Index. . . . 0.8737
Bentler & Bonett's (1980) NFI . . . . . . . . . . 0.7578
James, Mulaik, & Brett (1982) Parsimonious NFI. . 0.6755
Z-Test of Wilson & Hilferty (1931). . . . . . . . 5.9346
Bollen (1986) Normed Index Rho1 . . . . . . . . . 0.7283
Bollen (1988) Non-normed Index Delta2 . . . . . . 0.8898
Hoelter's (1983) Critical N . . . . . . . . . . . 104
TWENTY FOUR PSYCHOLOGICAL TESTS 25
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Residual Matrix
TEST1 TEST2 TEST3 TEST4 TEST5
TEST1 -.00000 0.03700 0.10147 0.11950 -.04867 VISUAL PERCEPTION
TEST2 0.03700 -.00000 0.11327 -.00546 0.03524 CUBES
TEST3 0.10147 0.11327 0.00000 0.05233 -.02102 PAPER FORM BOARD
TEST4 0.11950 -.00546 0.05233 -.00001 -.08276 FLAGS
TEST5 -.04867 0.03524 -.02102 -.08276 -.00001 GENERAL INFORMATION
TEST6 -.03996 -.01934 -.00386 0.01280 -.03972 PARAGRAPH COMPREHENSION
TEST7 -.07814 -.10119 -.05406 0.01479 -.01840 SENTENCE COMPLETION
TEST8 0.01284 -.05864 0.15060 0.12356 0.01475 WORD CLASSIFICATION
TEST9 -.06048 -.06612 -.09621 0.00115 0.04095 WORD MEANING
TEST10 -.16767 -.13466 -.28067 -.13870 0.01934 ADDITION
TEST11 0.02644 -.04024 -.11314 -.12593 0.05451 CODE
TEST12 0.03723 -.04200 -.06067 -.07192 -.06956 COUNTING DOTS
TEST13 0.21361 0.05293 0.12133 0.09624 0.06086 STRAIGHT-CURVED CAPITALS
TEST14 -.10962 -.05552 0.00689 -.13060 0.07648 WORD RECOGNITION
TEST15 -.00046 -.03012 -.10789 -.07282 0.02215 NUMBER RECOGNITION
TEST16 0.13423 0.08297 0.06016 0.08756 -.05568 FIGURE RECOGNITION
TEST17 -.10733 -.18643 -.02842 -.05042 -.03776 OBJECT - NUMBER
TEST18 0.06854 0.05267 -.00612 0.00007 0.00324 NUMBER - FIGURE
TEST19 0.03797 -.04477 0.14377 -.05743 -.01127 FIGURE - WORD
TEST20 -.06631 0.00058 -.01571 -.02242 0.01463 DEDUCTION
TEST21 -.01952 0.04350 -.11669 0.02344 -.02734 NUMERICAL PUZZLES
TEST22 -.01416 -.05661 -.05970 0.02207 0.06132 PROBLEM REASONING
TEST23 -.00818 0.02222 0.03341 -.06904 0.00642 SERIES COMPLETION
TEST24 0.00878 0.02640 0.00491 0.01906 0.13909 ARITHMETIC PROBLEMS
TWENTY FOUR PSYCHOLOGICAL TESTS 26
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Residual Matrix
TEST6 TEST7 TEST8 TEST9 TEST10
TEST1 -.03996 -.07814 0.01284 -.06048 -.16767 VISUAL PERCEPTION
TEST2 -.01934 -.10119 -.05864 -.06612 -.13466 CUBES
TEST3 -.00386 -.05406 0.15060 -.09621 -.28067 PAPER FORM BOARD
TEST4 0.01280 0.01479 0.12356 0.00115 -.13870 FLAGS
TEST5 -.03972 -.01840 0.01475 0.04095 0.01934 GENERAL INFORMATION
TEST6 -.00000 0.03795 -.04431 0.02219 -.09283 PARAGRAPH COMPREHENSION
TEST7 0.03795 -.00000 0.03674 -.02007 -.05550 SENTENCE COMPLETION
TEST8 -.04431 0.03674 -.00000 -.05686 0.03319 WORD CLASSIFICATION
TEST9 0.02219 -.02007 -.05686 -.00000 -.13492 WORD MEANING
TEST10 -.09283 -.05550 0.03319 -.13492 -.00000 ADDITION
TEST11 0.05937 -.06726 0.05006 -.02265 0.00091 CODE
TEST12 -.19364 -.11317 0.02532 -.18450 0.11013 COUNTING DOTS
TEST13 0.02180 0.05230 0.15054 -.01602 -.06450 STRAIGHT-CURVED CAPITALS
TEST14 0.08557 0.02562 0.07629 0.04723 -.06080 WORD RECOGNITION
TEST15 0.04119 -.04183 -.00359 0.03175 -.08261 NUMBER RECOGNITION
TEST16 0.04484 -.07087 0.08648 -.01172 -.15360 FIGURE RECOGNITION
TEST17 0.02372 -.02606 0.04281 0.01706 0.00787 OBJECT - NUMBER
TEST18 -.09647 -.10952 0.02573 -.06357 0.01987 NUMBER - FIGURE
TEST19 0.04685 0.01794 0.10023 0.06358 -.04022 FIGURE - WORD
TEST20 0.04614 0.05469 0.09600 0.04519 -.12119 DEDUCTION
TEST21 -.08728 -.04299 0.06384 -.09504 0.14000 NUMERICAL PUZZLES
TEST22 0.00088 0.00351 0.02919 0.08605 -.13135 PROBLEM REASONING
TEST23 -.00372 -.03805 0.13097 0.05593 -.06688 SERIES COMPLETION
TEST24 0.14807 0.14661 0.14547 0.13031 0.06222 ARITHMETIC PROBLEMS
TWENTY FOUR PSYCHOLOGICAL TESTS 27
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Residual Matrix
TEST11 TEST12 TEST13 TEST14 TEST15
TEST1 0.02644 0.03723 0.21361 -.10962 -.00046 VISUAL PERCEPTION
TEST2 -.04024 -.04200 0.05293 -.05552 -.03012 CUBES
TEST3 -.11314 -.06067 0.12133 0.00689 -.10789 PAPER FORM BOARD
TEST4 -.12593 -.07192 0.09624 -.13060 -.07282 FLAGS
TEST5 0.05451 -.06956 0.06086 0.07648 0.02215 GENERAL INFORMATION
TEST6 0.05937 -.19364 0.02180 0.08557 0.04119 PARAGRAPH COMPREHENSION
TEST7 -.06726 -.11317 0.05230 0.02562 -.04183 SENTENCE COMPLETION
TEST8 0.05006 0.02532 0.15054 0.07629 -.00359 WORD CLASSIFICATION
TEST9 -.02265 -.18450 -.01602 0.04723 0.03175 WORD MEANING
TEST10 0.00091 0.11013 -.06450 -.06080 -.08261 ADDITION
TEST11 -.00000 -.04334 0.06601 0.11893 0.00515 CODE
TEST12 -.04334 -.00000 0.05099 -.09614 -.05785 COUNTING DOTS
TEST13 0.06601 0.05099 -.00000 -.03100 -.09070 STRAIGHT-CURVED CAPITALS
TEST14 0.11893 -.09614 -.03100 -.00001 0.10935 WORD RECOGNITION
TEST15 0.00515 -.05785 -.09070 0.10935 -.00000 NUMBER RECOGNITION
TEST16 0.03846 -.15185 0.01151 0.10619 0.01419 FIGURE RECOGNITION
TEST17 0.08296 0.00371 -.07892 0.03131 0.03024 OBJECT - NUMBER
TEST18 0.05508 0.05910 0.03454 -.12632 0.00132 NUMBER - FIGURE
TEST19 0.06149 -.11462 0.03950 -.04762 -.06577 FIGURE - WORD
TEST20 -.09000 -.04103 -.04460 0.05868 0.02469 DEDUCTION
TEST21 0.13597 0.09644 0.16773 -.03618 0.00923 NUMERICAL PUZZLES
TEST22 0.01481 -.09127 -.00385 0.00202 0.00108 PROBLEM REASONING
TEST23 -.07544 0.02912 0.06272 -.03002 -.02047 SERIES COMPLETION
TEST24 -.05330 -.04338 -.09709 0.07978 -.06289 ARITHMETIC PROBLEMS
TWENTY FOUR PSYCHOLOGICAL TESTS 28
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Residual Matrix
TEST16 TEST17 TEST18 TEST19 TEST20
TEST1 0.13423 -.10733 0.06854 0.03797 -.06631 VISUAL PERCEPTION
TEST2 0.08297 -.18643 0.05267 -.04477 0.00058 CUBES
TEST3 0.06016 -.02842 -.00612 0.14377 -.01571 PAPER FORM BOARD
TEST4 0.08756 -.05042 0.00007 -.05743 -.02242 FLAGS
TEST5 -.05568 -.03776 0.00324 -.01127 0.01463 GENERAL INFORMATION
TEST6 0.04484 0.02372 -.09647 0.04685 0.04614 PARAGRAPH COMPREHENSION
TEST7 -.07087 -.02606 -.10952 0.01794 0.05469 SENTENCE COMPLETION
TEST8 0.08648 0.04281 0.02573 0.10023 0.09600 WORD CLASSIFICATION
TEST9 -.01172 0.01706 -.06357 0.06358 0.04519 WORD MEANING
TEST10 -.15360 0.00787 0.01987 -.04022 -.12119 ADDITION
TEST11 0.03846 0.08296 0.05508 0.06149 -.09000 CODE
TEST12 -.15185 0.00371 0.05910 -.11462 -.04103 COUNTING DOTS
TEST13 0.01151 -.07892 0.03454 0.03950 -.04460 STRAIGHT-CURVED CAPITALS
TEST14 0.10619 0.03131 -.12632 -.04762 0.05868 WORD RECOGNITION
TEST15 0.01419 0.03024 0.00132 -.06577 0.02469 NUMBER RECOGNITION
TEST16 -.00000 -.04529 -.04631 -.04442 0.09785 FIGURE RECOGNITION
TEST17 -.04529 -.00000 0.05273 0.01773 -.03184 OBJECT - NUMBER
TEST18 -.04631 0.05273 -.00000 0.03430 -.00956 NUMBER - FIGURE
TEST19 -.04442 0.01773 0.03430 -.00000 -.07363 FIGURE - WORD
TEST20 0.09785 -.03184 -.00956 -.07363 -.00000 DEDUCTION
TEST21 0.08664 -.09168 0.07725 0.11424 0.01007 NUMERICAL PUZZLES
TEST22 -.00435 -.01800 0.00943 0.10369 0.02001 PROBLEM REASONING
TEST23 0.03564 -.04149 -.07519 0.03399 0.00895 SERIES COMPLETION
TEST24 -.00537 0.05523 0.11882 0.15226 0.08265 ARITHMETIC PROBLEMS
TWENTY FOUR PSYCHOLOGICAL TESTS 29
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Residual Matrix
TEST21 TEST22 TEST23 TEST24
TEST1 -.01952 -.01416 -.00818 0.00878 VISUAL PERCEPTION
TEST2 0.04350 -.05661 0.02222 0.02640 CUBES
TEST3 -.11669 -.05970 0.03341 0.00491 PAPER FORM BOARD
TEST4 0.02344 0.02207 -.06904 0.01906 FLAGS
TEST5 -.02734 0.06132 0.00642 0.13909 GENERAL INFORMATION
TEST6 -.08728 0.00088 -.00372 0.14807 PARAGRAPH COMPREHENSION
TEST7 -.04299 0.00351 -.03805 0.14661 SENTENCE COMPLETION
TEST8 0.06384 0.02919 0.13097 0.14547 WORD CLASSIFICATION
TEST9 -.09504 0.08605 0.05593 0.13031 WORD MEANING
TEST10 0.14000 -.13135 -.06688 0.06222 ADDITION
TEST11 0.13597 0.01481 -.07544 -.05330 CODE
TEST12 0.09644 -.09127 0.02912 -.04338 COUNTING DOTS
TEST13 0.16773 -.00385 0.06272 -.09709 STRAIGHT-CURVED CAPITALS
TEST14 -.03618 0.00202 -.03002 0.07978 WORD RECOGNITION
TEST15 0.00923 0.00108 -.02047 -.06289 NUMBER RECOGNITION
TEST16 0.08664 -.00435 0.03564 -.00537 FIGURE RECOGNITION
TEST17 -.09168 -.01800 -.04149 0.05523 OBJECT - NUMBER
TEST18 0.07725 0.00943 -.07519 0.11882 NUMBER - FIGURE
TEST19 0.11424 0.10369 0.03399 0.15226 FIGURE - WORD
TEST20 0.01007 0.02001 0.00895 0.08265 DEDUCTION
TEST21 -.00001 -.02504 0.00056 0.19276 NUMERICAL PUZZLES
TEST22 -.02504 -.00000 0.00777 0.09438 PROBLEM REASONING
TEST23 0.00056 0.00777 -.00000 0.11724 SERIES COMPLETION
TEST24 0.19276 0.09438 0.11724 -.00000 ARITHMETIC PROBLEMS
Average Absolute Residual = 0.05586
Average Off-diagonal Absolute Residual = 0.06072
Rank Order of 10 Largest Residuals
TEST10,TEST3 TEST13,TEST1 TEST12,TEST6 TEST24,TEST21 TEST17,TEST2
-0.2806692 0.2136100 -0.1936369 0.1927611 -0.1864312
TEST12,TEST9 TEST21,TEST13 TEST10,TEST1 TEST16,TEST10 TEST24,TEST19
-0.1845041 0.1677348 -0.1676713 -0.1535977 0.1522575
TWENTY FOUR PSYCHOLOGICAL TESTS 30
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Asymptotically Standardized Residual Matrix
TEST1 TEST2 TEST3 TEST4 TEST5
TEST1 0.0000 0.7025 1.9713 2.4760 -0.9537 VISUAL PERCEPTION
TEST2 0.7025 0.0000 1.7872 -0.0916 0.5938 CUBES
TEST3 1.9713 1.7872 0.0000 0.8976 -0.3602 PAPER FORM BOARD
TEST4 2.4760 -0.0916 0.8976 0.0000 -1.4849 FLAGS
TEST5 -0.9537 0.5938 -0.3602 -1.4849 0.0000 GENERAL INFORMATION
TEST6 -0.7951 -0.3295 -0.0669 0.2326 -1.9317 PARAGRAPH COMPREHENSION
TEST7 -1.5890 -1.7511 -0.9524 0.2735 -0.9628 SENTENCE COMPLETION
TEST8 0.2237 -0.9052 2.3572 2.0075 0.5072 WORD CLASSIFICATION
TEST9 -1.2469 -1.1554 -1.7122 0.0215 2.2526 WORD MEANING
TEST10 -2.8542 -2.0096 -4.2517 -2.1875 0.3526 ADDITION
TEST11 0.4480 -0.5987 -1.7086 -1.9792 0.9877 CODE
TEST12 0.6248 -0.6209 -0.9099 -1.1215 -1.2440 COUNTING DOTS
TEST13 3.5749 0.7811 1.8164 1.4975 1.0843 STRAIGHT-CURVED CAPITALS
TEST14 -1.7551 -0.7884 0.0992 -1.9511 1.1955 WORD RECOGNITION
TEST15 -0.0075 -0.4292 -1.5592 -1.0924 0.3483 NUMBER RECOGNITION
TEST16 2.2944 1.2369 0.9108 1.3824 -0.9411 FIGURE RECOGNITION
TEST17 -1.8458 -2.7915 -0.4323 -0.7999 -0.6430 OBJECT - NUMBER
TEST18 1.2134 0.8055 -0.0951 0.0011 0.0572 NUMBER - FIGURE
TEST19 0.6060 -0.6342 2.0648 -0.8556 -0.1754 FIGURE - WORD
TEST20 -1.6312 0.0115 -0.3169 -0.4824 0.2938 DEDUCTION
TEST21 -0.4343 0.7802 -2.1413 0.4583 -0.5149 NUMERICAL PUZZLES
TEST22 -0.3444 -1.1036 -1.1913 0.4699 1.2235 PROBLEM REASONING
TEST23 -0.2392 0.5133 0.7910 -1.7511 0.1424 SERIES COMPLETION
TEST24 0.1463 0.3884 0.0732 0.2955 2.4641 ARITHMETIC PROBLEMS
TWENTY FOUR PSYCHOLOGICAL TESTS 31
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Asymptotically Standardized Residual Matrix
TEST6 TEST7 TEST8 TEST9 TEST10
TEST1 -0.7951 -1.5890 0.2237 -1.2469 -2.8542 VISUAL PERCEPTION
TEST2 -0.3295 -1.7511 -0.9052 -1.1554 -2.0096 CUBES
TEST3 -0.0669 -0.9524 2.3572 -1.7122 -4.2517 PAPER FORM BOARD
TEST4 0.2326 0.2735 2.0075 0.0215 -2.1875 FLAGS
TEST5 -1.9317 -0.9628 0.5072 2.2526 0.3526 GENERAL INFORMATION
TEST6 0.0000 2.0892 -1.5890 1.2850 -1.7162 PARAGRAPH COMPREHENSION
TEST7 2.0892 0.0000 1.4051 -1.2574 -1.0468 SENTENCE COMPLETION
TEST8 -1.5890 1.4051 0.0000 -2.2714 0.5421 WORD CLASSIFICATION
TEST9 1.2850 -1.2574 -2.2714 0.0000 -2.5774 WORD MEANING
TEST10 -1.7162 -1.0468 0.5421 -2.5774 0.0000 ADDITION
TEST11 1.0907 -1.2603 0.8144 -0.4298 0.0282 CODE
TEST12 -3.5090 -2.0897 0.4081 -3.4478 3.3210 COUNTING DOTS
TEST13 0.3936 0.9619 2.4207 -0.2981 -1.9298 STRAIGHT-CURVED CAPITALS
TEST14 1.3486 0.4084 1.1146 0.7585 -0.9826 WORD RECOGNITION
TEST15 0.6531 -0.6711 -0.0526 0.5131 -1.3423 NUMBER RECOGNITION
TEST16 0.7666 -1.2311 1.3357 -0.2056 -2.6711 FIGURE RECOGNITION
TEST17 0.4085 -0.4563 0.6647 0.3018 0.1379 OBJECT - NUMBER
TEST18 -1.7249 -1.9954 0.4094 -1.1720 0.3596 NUMBER - FIGURE
TEST19 0.7356 0.2849 1.4605 1.0169 -0.6478 FIGURE - WORD
TEST20 0.9420 1.1425 1.7054 0.9580 -2.1074 DEDUCTION
TEST21 -1.6672 -0.8377 1.0783 -1.8754 2.3034 NUMERICAL PUZZLES
TEST22 0.0179 0.0727 0.5158 1.8101 -2.2707 PROBLEM REASONING
TEST23 -0.0842 -0.8864 2.5079 1.3271 -1.2646 SERIES COMPLETION
TEST24 2.6570 2.6792 2.3299 2.4090 1.8392 ARITHMETIC PROBLEMS
TWENTY FOUR PSYCHOLOGICAL TESTS 32
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Asymptotically Standardized Residual Matrix
TEST11 TEST12 TEST13 TEST14 TEST15
TEST1 0.4480 0.6248 3.5749 -1.7551 -0.0075 VISUAL PERCEPTION
TEST2 -0.5987 -0.6209 0.7811 -0.7884 -0.4292 CUBES
TEST3 -1.7086 -0.9099 1.8164 0.0992 -1.5592 PAPER FORM BOARD
TEST4 -1.9792 -1.1215 1.4975 -1.9511 -1.0924 FLAGS
TEST5 0.9877 -1.2440 1.0843 1.1955 0.3483 GENERAL INFORMATION
TEST6 1.0907 -3.5090 0.3936 1.3486 0.6531 PARAGRAPH COMPREHENSION
TEST7 -1.2603 -2.0897 0.9619 0.4084 -0.6711 SENTENCE COMPLETION
TEST8 0.8144 0.4081 2.4207 1.1146 -0.0526 WORD CLASSIFICATION
TEST9 -0.4298 -3.4478 -0.2981 0.7585 0.5131 WORD MEANING
TEST10 0.0282 3.3210 -1.9298 -0.9826 -1.3423 ADDITION
TEST11 0.0000 -1.2903 1.9497 1.9142 0.0833 CODE
TEST12 -1.2903 0.0000 1.4648 -1.5332 -0.9275 COUNTING DOTS
TEST13 1.9497 1.4648 0.0000 -0.4931 -1.4502 STRAIGHT-CURVED CAPITALS
TEST14 1.9142 -1.5332 -0.4931 0.0000 1.9859 WORD RECOGNITION
TEST15 0.0833 -0.9275 -1.4502 1.9859 0.0000 NUMBER RECOGNITION
TEST16 0.6655 -2.5980 0.1962 2.1640 0.2918 FIGURE RECOGNITION
TEST17 1.4451 0.0639 -1.3547 0.6458 0.6296 OBJECT - NUMBER
TEST18 0.9911 1.0503 0.6118 -2.7719 0.0292 NUMBER - FIGURE
TEST19 0.9862 -1.8218 0.6262 -0.8525 -1.1877 FIGURE - WORD
TEST20 -1.5577 -0.7028 -0.7617 0.9576 0.4050 DEDUCTION
TEST21 2.2281 1.5665 2.7176 -0.5617 0.1439 NUMERICAL PUZZLES
TEST22 0.2549 -1.5544 -0.0653 0.0328 0.0176 PROBLEM REASONING
TEST23 -1.4180 0.5402 1.1593 -0.5278 -0.3621 SERIES COMPLETION
TEST24 -1.5554 -1.2314 -2.7354 1.2640 -1.0015 ARITHMETIC PROBLEMS
TWENTY FOUR PSYCHOLOGICAL TESTS 33
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Asymptotically Standardized Residual Matrix
TEST16 TEST17 TEST18 TEST19 TEST20
TEST1 2.2944 -1.8458 1.2134 0.6060 -1.6312 VISUAL PERCEPTION
TEST2 1.2369 -2.7915 0.8055 -0.6342 0.0115 CUBES
TEST3 0.9108 -0.4323 -0.0951 2.0648 -0.3169 PAPER FORM BOARD
TEST4 1.3824 -0.7999 0.0011 -0.8556 -0.4824 FLAGS
TEST5 -0.9411 -0.6430 0.0572 -0.1754 0.2938 GENERAL INFORMATION
TEST6 0.7666 0.4085 -1.7249 0.7356 0.9420 PARAGRAPH COMPREHENSION
TEST7 -1.2311 -0.4563 -1.9954 0.2849 1.1425 SENTENCE COMPLETION
TEST8 1.3357 0.6647 0.4094 1.4605 1.7054 WORD CLASSIFICATION
TEST9 -0.2056 0.3018 -1.1720 1.0169 0.9580 WORD MEANING
TEST10 -2.6711 0.1379 0.3596 -0.6478 -2.1074 ADDITION
TEST11 0.6655 1.4451 0.9911 0.9862 -1.5577 CODE
TEST12 -2.5980 0.0639 1.0503 -1.8218 -0.7028 COUNTING DOTS
TEST13 0.1962 -1.3547 0.6118 0.6262 -0.7617 STRAIGHT-CURVED CAPITALS
TEST14 2.1640 0.6458 -2.7719 -0.8525 0.9576 WORD RECOGNITION
TEST15 0.2918 0.6296 0.0292 -1.1877 0.4050 NUMBER RECOGNITION
TEST16 0.0000 -1.0698 -1.1709 -0.8997 1.7104 FIGURE RECOGNITION
TEST17 -1.0698 0.0000 1.3522 0.3635 -0.5600 OBJECT - NUMBER
TEST18 -1.1709 1.3522 0.0000 0.7478 -0.1734 NUMBER - FIGURE
TEST19 -0.8997 0.3635 0.7478 0.0000 -1.1977 FIGURE - WORD
TEST20 1.7104 -0.5600 -0.1734 -1.1977 0.0000 DEDUCTION
TEST21 1.4293 -1.5209 1.3163 1.7683 0.2330 NUMERICAL PUZZLES
TEST22 -0.0756 -0.3147 0.1699 1.6776 0.5066 PROBLEM REASONING
TEST23 0.6804 -0.7981 -1.5015 0.5953 0.2735 SERIES COMPLETION
TEST24 -0.0912 0.9434 2.0929 2.4042 1.4051 ARITHMETIC PROBLEMS
TWENTY FOUR PSYCHOLOGICAL TESTS 34
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Asymptotically Standardized Residual Matrix
TEST21 TEST22 TEST23 TEST24
TEST1 -0.4343 -0.3444 -0.2392 0.1463 VISUAL PERCEPTION
TEST2 0.7802 -1.1036 0.5133 0.3884 CUBES
TEST3 -2.1413 -1.1913 0.7910 0.0732 PAPER FORM BOARD
TEST4 0.4583 0.4699 -1.7511 0.2955 FLAGS
TEST5 -0.5149 1.2235 0.1424 2.4641 GENERAL INFORMATION
TEST6 -1.6672 0.0179 -0.0842 2.6570 PARAGRAPH COMPREHENSION
TEST7 -0.8377 0.0727 -0.8864 2.6792 SENTENCE COMPLETION
TEST8 1.0783 0.5158 2.5079 2.3299 WORD CLASSIFICATION
TEST9 -1.8754 1.8101 1.3271 2.4090 WORD MEANING
TEST10 2.3034 -2.2707 -1.2646 1.8392 ADDITION
TEST11 2.2281 0.2549 -1.4180 -1.5554 CODE
TEST12 1.5665 -1.5544 0.5402 -1.2314 COUNTING DOTS
TEST13 2.7176 -0.0653 1.1593 -2.7354 STRAIGHT-CURVED CAPITALS
TEST14 -0.5617 0.0328 -0.5278 1.2640 WORD RECOGNITION
TEST15 0.1439 0.0176 -0.3621 -1.0015 NUMBER RECOGNITION
TEST16 1.4293 -0.0756 0.6804 -0.0912 FIGURE RECOGNITION
TEST17 -1.5209 -0.3147 -0.7981 0.9434 OBJECT - NUMBER
TEST18 1.3163 0.1699 -1.5015 2.0929 NUMBER - FIGURE
TEST19 1.7683 1.6776 0.5953 2.4042 FIGURE - WORD
TEST20 0.2330 0.5066 0.2735 1.4051 DEDUCTION
TEST21 0.0000 -0.5730 0.0153 3.1109 NUMERICAL PUZZLES
TEST22 -0.5730 0.0000 0.2345 1.5956 PROBLEM REASONING
TEST23 0.0153 0.2345 0.0000 2.1547 SERIES COMPLETION
TEST24 3.1109 1.5956 2.1547 0.0000 ARITHMETIC PROBLEMS
Average Standardized Residual = 1.026
Average Off-diagonal Standardized Residual = 1.116
Rank Order of 10 Largest Asymptotically Standardized Residuals
TEST10,TEST3 TEST13,TEST1 TEST12,TEST6 TEST12,TEST9 TEST12,TEST10
-4.2516859 3.5748562 -3.5089917 -3.4477842 3.3210237
TEST24,TEST21 TEST10,TEST1 TEST17,TEST2 TEST18,TEST14 TEST24,TEST13
3.1109331 -2.8541557 -2.7915062 -2.7719392 -2.7354005
TWENTY FOUR PSYCHOLOGICAL TESTS 35
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Distribution of Asymptotically Standardized Residuals
(Each * represents 2 residuals)
-4.50000 - -4.25000 1 0.33% |
-4.25000 - -4.00000 0 0.00% |
-4.00000 - -3.75000 0 0.00% |
-3.75000 - -3.50000 1 0.33% |
-3.50000 - -3.25000 1 0.33% |
-3.25000 - -3.00000 0 0.00% |
-3.00000 - -2.75000 3 1.00% | *
-2.75000 - -2.50000 4 1.33% | **
-2.50000 - -2.25000 2 0.67% | *
-2.25000 - -2.00000 5 1.67% | **
-2.00000 - -1.75000 11 3.67% | *****
-1.75000 - -1.50000 15 5.00% | *******
-1.50000 - -1.25000 9 3.00% | ****
-1.25000 - -1.00000 16 5.33% | ********
-1.00000 - -0.75000 18 6.00% | *********
-0.75000 - -0.50000 12 4.00% | ******
-0.50000 - -0.25000 14 4.67% | *******
-0.25000 - 0 13 4.33% | ******
0 - 0.25000 49 16.33% | ************************
0.25000 - 0.50000 22 7.33% | ***********
0.50000 - 0.75000 22 7.33% | ***********
0.75000 - 1.00000 17 5.67% | ********
1.00000 - 1.25000 12 4.00% | ******
1.25000 - 1.50000 15 5.00% | *******
1.50000 - 1.75000 5 1.67% | **
1.75000 - 2.00000 9 3.00% | ****
2.00000 - 2.25000 7 2.33% | ***
2.25000 - 2.50000 10 3.33% | *****
2.50000 - 2.75000 4 1.33% | **
2.75000 - 3.00000 0 0.00% |
3.00000 - 3.25000 1 0.33% |
3.25000 - 3.50000 1 0.33% |
3.50000 - 3.75000 1 0.33% |
TWENTY FOUR PSYCHOLOGICAL TESTS 36
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Manifest Variable Equations
TEST1 = 0.6449*F1 + 1.0000 E1
Std Err 0.0786 LT1F1
t Value 8.2029
TEST2 = 0.4357*F1 + 1.0000 E2
Std Err 0.0844 LT2F1
t Value 5.1635
TEST3 = 0.4676*F1 + 1.0000 E3
Std Err 0.0837 LT3F1
t Value 5.5884
TEST4 = 0.5404*F1 + 1.0000 E4
Std Err 0.0818 LT4F1
t Value 6.6052
TEST5 = 0.8077*F2 + 1.0000 E5
Std Err 0.0705 LT5F2
t Value 11.4604
TEST6 = 0.8193*F2 + 1.0000 E6
Std Err 0.0700 LT6F2
t Value 11.7097
TEST7 = 0.8350*F2 + 1.0000 E7
Std Err 0.0693 LT7F2
t Value 12.0558
TEST8 = 0.6973*F2 + 1.0000 E8
Std Err 0.0749 LT8F2
t Value 9.3051
TEST9 = 0.8444*F2 + 1.0000 E9
Std Err 0.0688 LT9F2
t Value 12.2693
TEST10 = 0.6976*F3 + 1.0000 E10
Std Err 0.0785 LT10F3
t Value 8.8820
TEST11 = 0.6925*F3 + 1.0000 E11
Std Err 0.0787 LT11F3
t Value 8.7960
TEST12 = 0.6807*F3 + 1.0000 E12
Std Err 0.0791 LT12F3
t Value 8.6023
TWENTY FOUR PSYCHOLOGICAL TESTS 37
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
TEST13 = 0.6773*F3 + 1.0000 E13
Std Err 0.0792 LT13F3
t Value 8.5469
TEST14 = 0.5064*F4 + 1.0000 E14
Std Err 0.0866 LT14F4
t Value 5.8500
TEST15 = 0.5147*F4 + 1.0000 E15
Std Err 0.0864 LT15F4
t Value 5.9600
TEST16 = 0.6039*F4 + 1.0000 E16
Std Err 0.0840 LT16F4
t Value 7.1918
TEST17 = 0.6115*F4 + 1.0000 E17
Std Err 0.0837 LT17F4
t Value 7.3022
TEST18 = 0.6464*F4 + 1.0000 E18
Std Err 0.0827 LT18F4
t Value 7.8116
TEST19 = 0.5008*F4 + 1.0000 E19
Std Err 0.0867 LT19F4
t Value 5.7762
TEST20 = 0.6688*F1 + 1.0000 E20
Std Err 0.0778 LT20F1
t Value 8.5968
TEST21 = 0.6025*F1 + 1.0000 E21
Std Err 0.0800 LT21F1
t Value 7.5314
TEST22 = 0.6624*F1 + 1.0000 E22
Std Err 0.0780 LT22F1
t Value 8.4894
TEST23 = 0.7477*F1 + 1.0000 E23
Std Err 0.0749 LT23F1
t Value 9.9859
TEST24 = 0.6719*F3 + 1.0000 E24
Std Err 0.0794 LT24F3
t Value 8.4603
TWENTY FOUR PSYCHOLOGICAL TESTS 38
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Variances of Exogenous Variables
---------------------------------------------------------------------
Standard
Variable Parameter Estimate Error t Value
---------------------------------------------------------------------
F1 1.000000 0 0.000
F2 1.000000 0 0.000
F3 1.000000 0 0.000
F4 1.000000 0 0.000
E1 VARE1 0.584108 0.076818 7.604
E2 VARE2 0.810146 0.098592 8.217
E3 VARE3 0.781378 0.095767 8.159
E4 VARE4 0.707987 0.088615 7.989
E5 VARE5 0.347626 0.050019 6.950
E6 VARE6 0.328810 0.048285 6.810
E7 VARE7 0.302849 0.045967 6.588
E8 VARE8 0.513708 0.066419 7.734
E9 VARE9 0.286934 0.044598 6.434
E10 VARE10 0.513293 0.074066 6.930
E11 VARE11 0.520500 0.074615 6.976
E12 VARE12 0.536682 0.075869 7.074
E13 VARE13 0.541296 0.076232 7.101
E14 VARE14 0.743561 0.095633 7.775
E15 VARE15 0.735083 0.094953 7.742
E16 VARE16 0.635348 0.087328 7.275
E17 VARE17 0.626019 0.086660 7.224
E18 VARE18 0.582228 0.083662 6.959
E19 VARE19 0.749188 0.096085 7.797
E20 VARE20 0.552696 0.073912 7.478
E21 VARE21 0.637054 0.081805 7.787
E22 VARE22 0.561279 0.074702 7.514
E23 VARE23 0.440983 0.064085 6.881
E24 VARE24 0.548493 0.076802 7.142
Covariances among Exogenous Variables
--------------------------------------------------------------------------
Standard
Parameter Estimate Error t Value
--------------------------------------------------------------------------
F2 F1 CF1F2 0.709693 0.054544 13.011
F3 F1 CF1F3 0.630506 0.068762 9.169
F3 F2 CF2F3 0.517591 0.074838 6.916
F4 F1 CF1F4 0.718417 0.064927 11.065
F4 F2 CF2F4 0.497558 0.081191 6.128
F4 F3 CF3F4 0.658931 0.072611 9.075
TWENTY FOUR PSYCHOLOGICAL TESTS 39
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Equations with Standardized Coefficients
TEST1 = 0.6449*F1 + 0.7643 E1
LT1F1
TEST2 = 0.4357*F1 + 0.9001 E2
LT2F1
TEST3 = 0.4676*F1 + 0.8840 E3
LT3F1
TEST4 = 0.5404*F1 + 0.8414 E4
LT4F1
TEST5 = 0.8077*F2 + 0.5896 E5
LT5F2
TEST6 = 0.8193*F2 + 0.5734 E6
LT6F2
TEST7 = 0.8350*F2 + 0.5503 E7
LT7F2
TEST8 = 0.6973*F2 + 0.7167 E8
LT8F2
TEST9 = 0.8444*F2 + 0.5357 E9
LT9F2
TEST10 = 0.6976*F3 + 0.7164 E10
LT10F3
TEST11 = 0.6925*F3 + 0.7215 E11
LT11F3
TEST12 = 0.6807*F3 + 0.7326 E12
LT12F3
TEST13 = 0.6773*F3 + 0.7357 E13
LT13F3
TEST14 = 0.5064*F4 + 0.8623 E14
LT14F4
TEST15 = 0.5147*F4 + 0.8574 E15
LT15F4
TEST16 = 0.6039*F4 + 0.7971 E16
LT16F4
TWENTY FOUR PSYCHOLOGICAL TESTS 40
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
TEST17 = 0.6115*F4 + 0.7912 E17
LT17F4
TEST18 = 0.6464*F4 + 0.7630 E18
LT18F4
TEST19 = 0.5008*F4 + 0.8656 E19
LT19F4
TEST20 = 0.6688*F1 + 0.7434 E20
LT20F1
TEST21 = 0.6025*F1 + 0.7982 E21
LT21F1
TEST22 = 0.6624*F1 + 0.7492 E22
LT22F1
TEST23 = 0.7477*F1 + 0.6641 E23
LT23F1
TEST24 = 0.6719*F3 + 0.7406 E24
LT24F3
TWENTY FOUR PSYCHOLOGICAL TESTS 41
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Squared Multiple Correlations
--------------------------------------------------------------
Error Total
Variable Variance Variance R-squared
--------------------------------------------------------------
1 TEST1 0.584108 1.000002 0.415893
2 TEST2 0.810146 1.000000 0.189854
3 TEST3 0.781378 0.999998 0.218621
4 TEST4 0.707987 1.000008 0.292018
5 TEST5 0.347626 1.000006 0.652376
6 TEST6 0.328810 1.000005 0.671191
7 TEST7 0.302849 1.000004 0.697152
8 TEST8 0.513708 1.000002 0.486293
9 TEST9 0.286934 1.000001 0.713067
10 TEST10 0.513293 1.000003 0.486708
11 TEST11 0.520500 1.000003 0.479502
12 TEST12 0.536682 1.000004 0.463320
13 TEST13 0.541296 1.000003 0.458706
14 TEST14 0.743561 1.000014 0.256450
15 TEST15 0.735083 1.000002 0.264919
16 TEST16 0.635348 1.000003 0.364654
17 TEST17 0.626019 1.000003 0.373982
18 TEST18 0.582228 1.000003 0.417773
19 TEST19 0.749188 1.000001 0.250813
20 TEST20 0.552696 1.000003 0.447305
21 TEST21 0.637054 1.000005 0.362949
22 TEST22 0.561279 1.000004 0.438723
23 TEST23 0.440983 1.000003 0.559018
24 TEST24 0.548493 1.000003 0.451508
Correlations among Exogenous Variables
------------------------------------------
Parameter Estimate
------------------------------------------
F2 F1 CF1F2 0.709693
F3 F1 CF1F3 0.630506
F3 F2 CF2F3 0.517591
F4 F1 CF1F4 0.718417
F4 F2 CF2F4 0.497558
F4 F3 CF3F4 0.658931
TWENTY FOUR PSYCHOLOGICAL TESTS 42
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints
------------------------------------------
| Lagrange Multiplier or Wald Index |
------------------------------------------
| Probability | Approx Change of Value |
------------------------------------------
F1 F2 F3
F1 SING 169.296[CF1F2 ] 84.078[CF1F3 ]
. .
F2 169.296[CF1F2 ] SING 47.833[CF2F3 ]
. .
F3 84.078[CF1F3 ] 47.833[CF2F3 ] SING
. .
F4 122.434[CF1F4 ] 37.555[CF2F4 ] 82.352[CF3F4 ]
E1 0.460 2.280 0.431
0.497 0.044 0.131 -0.086 0.512 0.040
E2 2.119 0.959 0.162
0.146 0.101 0.327 -0.062 0.687 -0.027
E3 0.789 0.143 2.784
0.374 0.061 0.706 -0.024 0.095 -0.112
E4 0.777 0.043 0.977
0.378 0.059 0.836 0.012 0.323 -0.064
E5 0.192 0.061 2.613
0.661 -0.018 0.805 -0.016 0.106 0.078
E6 0.428 0.245 0.390
0.513 -0.027 0.620 0.032 0.532 -0.030
E7 0.329 1.652 0.200
0.566 -0.023 0.199 0.081 0.655 0.021
E8 3.344 8.744 1.567
0.067 0.087 0.003 -0.218 0.211 0.070
E9 0.098 0.318 4.705
0.755 0.012 0.573 0.035 0.030 -0.100
TWENTY FOUR PSYCHOLOGICAL TESTS 43
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
F1 F2 F3
E10 7.925 0.018 11.149
0.005 -0.144 0.893 0.007 0.001 0.289
E11 4.130 0.530 0.775
0.042 -0.104 0.467 0.040 0.379 -0.076
E12 2.818 10.623 5.831
0.093 0.087 0.001 -0.180 0.016 0.210
E13 7.139 0.017 1.595
0.008 0.138 0.896 -0.007 0.207 -0.110
E14 3.014 3.177 0.001
0.083 -0.103 0.075 0.110 0.980 -0.002
E15 0.241 0.489 2.266
0.624 -0.029 0.484 0.043 0.132 -0.103
E16 9.303 1.306 3.601
0.002 0.176 0.253 -0.069 0.058 -0.127
E17 6.332 0.882 0.560
0.012 -0.145 0.348 0.056 0.454 0.050
E18 0.570 3.831 4.332
0.450 0.043 0.050 -0.116 0.037 0.139
E19 0.414 0.125 0.043
0.520 0.038 0.723 0.022 0.836 0.014
E20 0.727 2.651 2.575
0.394 -0.054 0.104 0.092 0.109 -0.096
E21 0.976 3.194 15.047
0.323 -0.064 0.074 -0.104 0.000 0.243
E22 0.713 1.555 0.947
0.398 -0.054 0.212 0.070 0.331 -0.059
E23 0.036 0.449 0.264
0.850 -0.012 0.503 0.036 0.608 0.029
E24 0.454 6.503 14.112
0.500 0.035 0.011 0.142 0.000 -0.328
TWENTY FOUR PSYCHOLOGICAL TESTS 44
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
F4 E1 E2
F1 122.434[CF1F4 ] 0.460 2.119
0.497 0.044 0.146 0.101
F2 37.555[CF2F4 ] 2.280 0.959
0.131 -0.086 0.327 -0.062
F3 82.352[CF3F4 ] 0.431 0.162
0.512 0.040 0.687 -0.027
F4 SING 0.016 0.366
. . 0.901 0.008 0.545 -0.042
E1 0.016 57.817[VARE1 ] 0.493
0.901 0.008 0.482 0.044
E2 0.366 0.493 67.521[VARE2 ]
0.545 -0.042 0.482 0.044
E3 0.456 3.886 3.194
0.500 0.047 0.049 0.121 0.074 0.123
E4 0.312 6.131 0.008
0.576 -0.037 0.013 0.146 0.927 -0.006
E5 0.361 0.046 3.329
0.548 -0.030 0.829 -0.009 0.068 0.089
E6 1.014 0.042 0.304
0.314 0.049 0.837 0.009 0.581 0.027
E7 2.136 0.263 1.867
0.144 -0.069 0.608 -0.021 0.172 -0.064
E8 0.023 0.076 1.778
0.879 0.009 0.782 -0.014 0.182 -0.076
E9 0.854 0.338 0.606
0.355 0.043 0.561 -0.024 0.436 -0.036
E10 0.235 6.705 1.349
0.628 -0.030 0.010 -0.135 0.245 -0.069
E11 7.061 0.412 0.017
0.008 0.165 0.521 0.034 0.897 -0.008
TWENTY FOUR PSYCHOLOGICAL TESTS 45
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
F4 E1 E2
E12 2.813 1.494 0.000
0.094 -0.105 0.222 0.064 0.992 0.001
E13 2.537 12.514 0.658
0.111 -0.100 0.000 0.187 0.417 0.049
E14 0.396 4.224 0.266
0.529 0.056 0.040 -0.123 0.606 -0.035
E15 1.755 0.005 0.015
0.185 0.119 0.941 0.004 0.903 -0.008
E16 0.780 3.550 1.758
0.377 -0.079 0.060 0.107 0.185 0.085
E17 2.117 3.006 6.834
0.146 0.131 0.083 -0.098 0.009 -0.168
E18 1.526 2.024 1.934
0.217 -0.112 0.155 0.079 0.164 0.087
E19 1.283 0.010 0.600
0.257 -0.102 0.919 0.006 0.439 -0.053
E20 0.705 2.661 0.000
0.401 0.052 0.103 -0.089 0.991 0.001
E21 0.038 0.189 0.609
0.845 -0.013 0.664 -0.025 0.435 0.050
E22 0.452 0.119 1.218
0.502 0.042 0.731 -0.019 0.270 -0.067
E23 0.889 0.057 0.263
0.346 -0.056 0.811 -0.012 0.608 0.029
E24 1.122 3.629 0.000
0.290 0.066 0.057 -0.101 0.996 0.000
TWENTY FOUR PSYCHOLOGICAL TESTS 46
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E3 E4 E5
F1 0.789 0.777 0.192
0.374 0.061 0.378 0.059 0.661 -0.018
F2 0.143 0.043 0.061
0.706 -0.024 0.836 0.012 0.805 -0.016
F3 2.784 0.977 2.613
0.095 -0.112 0.323 -0.064 0.106 0.078
F4 0.456 0.312 0.361
0.500 0.047 0.576 -0.037 0.548 -0.030
E1 3.886 6.131 0.046
0.049 0.121 0.013 0.146 0.829 -0.009
E2 3.194 0.008 3.329
0.074 0.123 0.927 -0.006 0.068 0.089
E3 66.572[VARE3 ] 0.806 0.001
0.369 0.059 0.976 0.001
E4 0.806 63.832[VARE4 ] 5.340
0.369 0.059 0.021 -0.107
E5 0.001 5.340 48.300[VARE5 ]
0.976 0.001 0.021 -0.107
E6 0.334 0.168 3.731
0.563 0.027 0.682 0.019 0.053 -0.074
E7 0.223 0.786 0.926
0.636 -0.022 0.375 0.039 0.336 -0.037
E8 6.498 2.351 0.257
0.011 0.143 0.125 0.082 0.612 0.021
E9 4.557 0.000 5.075
0.033 -0.097 0.988 -0.001 0.024 0.085
E10 13.322 0.659 2.862
0.000 -0.213 0.417 -0.045 0.091 0.071
E11 1.249 3.034 0.600
0.264 -0.065 0.082 -0.098 0.438 0.032
TWENTY FOUR PSYCHOLOGICAL TESTS 47
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E3 E4 E5
E12 0.025 0.094 0.059
0.875 0.009 0.759 -0.017 0.808 0.010
E13 7.083 3.452 0.082
0.008 0.158 0.063 0.106 0.775 -0.012
E14 0.087 3.217 0.624
0.768 0.020 0.073 -0.115 0.430 0.038
E15 2.762 0.648 0.182
0.097 -0.111 0.421 -0.052 0.669 0.020
E16 0.344 2.164 2.443
0.557 0.037 0.141 0.090 0.118 -0.071
E17 0.000 0.005 1.011
0.992 0.001 0.945 0.004 0.315 -0.045
E18 0.007 0.245 2.408
0.931 -0.005 0.621 0.029 0.121 0.069
E19 4.376 1.170 1.652
0.036 0.140 0.279 -0.070 0.199 -0.062
E20 0.100 0.233 0.487
0.751 -0.019 0.630 -0.028 0.485 -0.029
E21 4.585 0.210 0.127
0.032 -0.135 0.647 0.028 0.721 0.016
E22 1.419 0.221 1.043
0.234 -0.072 0.638 0.027 0.307 0.043
E23 0.626 3.066 0.117
0.429 0.045 0.080 -0.096 0.733 -0.013
E24 0.000 0.032 0.200
0.990 -0.001 0.859 -0.010 0.655 -0.019
TWENTY FOUR PSYCHOLOGICAL TESTS 48
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E6 E7 E8
F1 0.428 0.329 3.344
0.513 -0.027 0.566 -0.023 0.067 0.087
F2 0.245 1.652 8.744
0.620 0.032 0.199 0.081 0.003 -0.218
F3 0.390 0.200 1.567
0.532 -0.030 0.655 0.021 0.211 0.070
F4 1.014 2.136 0.023
0.314 0.049 0.144 -0.069 0.879 0.009
E1 0.042 0.263 0.076
0.837 0.009 0.608 -0.021 0.782 -0.014
E2 0.304 1.867 1.778
0.581 0.027 0.172 -0.064 0.182 -0.076
E3 0.334 0.223 6.498
0.563 0.027 0.636 -0.022 0.011 0.143
E4 0.168 0.786 2.351
0.682 0.019 0.375 0.039 0.125 0.082
E5 3.731 0.926 0.257
0.053 -0.074 0.336 -0.037 0.612 0.021
E6 46.374[VARE6 ] 4.366 2.524
0.037 0.079 0.112 -0.066
E7 4.366 43.407[VARE7 ] 1.975
0.037 0.079 0.160 0.058
E8 2.524 1.975 59.820[VARE8 ]
0.112 -0.066 0.160 0.058
E9 1.652 1.581 5.159
0.199 0.048 0.209 -0.047 0.023 -0.092
E10 0.762 0.463 0.171
0.383 -0.036 0.496 0.027 0.679 0.020
E11 5.022 4.545 0.300
0.025 0.092 0.033 -0.085 0.584 -0.027
TWENTY FOUR PSYCHOLOGICAL TESTS 49
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E6 E7 E8
E12 7.351 0.075 1.589
0.007 -0.113 0.785 0.011 0.207 0.062
E13 0.188 0.587 1.503
0.664 -0.018 0.443 0.031 0.220 0.060
E14 0.852 0.010 0.034
0.356 0.043 0.920 0.005 0.853 -0.010
E15 0.707 0.408 1.329
0.400 0.039 0.523 -0.029 0.249 -0.064
E16 1.736 1.381 0.723
0.188 0.059 0.240 -0.051 0.395 0.045
E17 0.495 0.119 0.028
0.482 0.031 0.730 0.015 0.868 -0.009
E18 3.400 0.981 0.045
0.065 -0.080 0.322 -0.042 0.833 0.011
E19 0.018 0.032 0.265
0.892 0.006 0.859 0.008 0.607 0.029
E20 0.195 1.720 0.002
0.658 0.018 0.190 0.053 0.961 0.002
E21 1.711 0.278 0.909
0.191 -0.057 0.598 0.022 0.340 0.049
E22 0.627 0.043 2.035
0.428 -0.033 0.836 -0.008 0.154 -0.070
E23 0.322 1.599 1.898
0.570 -0.022 0.206 -0.047 0.168 0.062
E24 0.934 1.082 0.541
0.334 0.040 0.298 0.042 0.462 -0.036
TWENTY FOUR PSYCHOLOGICAL TESTS 50
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E9 E10 E11
F1 0.098 7.925 4.130
0.755 0.012 0.005 -0.144 0.042 -0.104
F2 0.318 0.018 0.530
0.573 0.035 0.893 0.007 0.467 0.040
F3 4.705 11.149 0.775
0.030 -0.100 0.001 0.289 0.379 -0.076
F4 0.854 0.235 7.061
0.355 0.043 0.628 -0.030 0.008 0.165
E1 0.338 6.705 0.412
0.561 -0.024 0.010 -0.135 0.521 0.034
E2 0.606 1.349 0.017
0.436 -0.036 0.245 -0.069 0.897 -0.008
E3 4.557 13.322 1.249
0.033 -0.097 0.000 -0.213 0.264 -0.065
E4 0.000 0.659 3.034
0.988 -0.001 0.417 -0.045 0.082 -0.098
E5 5.075 2.862 0.600
0.024 0.085 0.091 0.071 0.438 0.032
E6 1.652 0.762 5.022
0.199 0.048 0.383 -0.036 0.025 0.092
E7 1.581 0.463 4.545
0.209 -0.047 0.496 0.027 0.033 -0.085
E8 5.159 0.171 0.300
0.023 -0.092 0.679 0.020 0.584 -0.027
E9 41.394[VARE9 ] 2.351 0.078
0.125 -0.060 0.780 0.011
E10 2.351 48.027[VARE10] 0.001
0.125 -0.060 0.977 0.002
E11 0.078 0.001 48.662[VARE11]
0.780 0.011 0.977 0.002
TWENTY FOUR PSYCHOLOGICAL TESTS 51
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E9 E10 E11
E12 2.510 11.029 1.665
0.113 -0.063 0.001 0.190 0.197 -0.074
E13 1.035 3.724 3.802
0.309 -0.041 0.054 -0.111 0.051 0.112
E14 0.000 0.328 3.910
0.995 -0.000 0.567 -0.033 0.048 0.115
E15 0.686 0.008 0.180
0.407 0.037 0.929 -0.005 0.672 0.025
E16 0.044 3.355 1.026
0.834 -0.009 0.067 -0.101 0.311 0.056
E17 0.667 1.259 1.174
0.414 0.035 0.262 0.062 0.279 0.060
E18 0.237 0.589 0.164
0.626 -0.020 0.443 0.041 0.686 -0.022
E19 0.668 0.187 0.182
0.414 0.037 0.665 -0.025 0.670 0.025
E20 0.071 0.060 1.431
0.790 0.011 0.806 -0.013 0.232 -0.061
E21 3.134 6.607 1.052
0.077 -0.074 0.010 0.138 0.305 0.055
E22 4.064 0.783 1.291
0.044 0.080 0.376 -0.045 0.256 0.058
E23 2.828 0.301 3.940
0.093 0.062 0.584 0.026 0.047 -0.094
E24 1.349 3.383 2.419
0.246 0.047 0.066 0.106 0.120 -0.089
TWENTY FOUR PSYCHOLOGICAL TESTS 52
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E12 E13 E14
F1 2.818 7.139 3.014
0.093 0.087 0.008 0.138 0.083 -0.103
F2 10.623 0.017 3.177
0.001 -0.180 0.896 -0.007 0.075 0.110
F3 5.831 1.595 0.001
0.016 0.210 0.207 -0.110 0.980 -0.002
F4 2.813 2.537 0.396
0.094 -0.105 0.111 -0.100 0.529 0.056
E1 1.494 12.514 4.224
0.222 0.064 0.000 0.187 0.040 -0.123
E2 0.000 0.658 0.266
0.992 0.001 0.417 0.049 0.606 -0.035
E3 0.025 7.083 0.087
0.875 0.009 0.008 0.158 0.768 0.020
E4 0.094 3.452 3.217
0.759 -0.017 0.063 0.106 0.073 -0.115
E5 0.059 0.082 0.624
0.808 0.010 0.775 -0.012 0.430 0.038
E6 7.351 0.188 0.852
0.007 -0.113 0.664 -0.018 0.356 0.043
E7 0.075 0.587 0.010
0.785 0.011 0.443 0.031 0.920 0.005
E8 1.589 1.503 0.034
0.207 0.062 0.220 0.060 0.853 -0.010
E9 2.510 1.035 0.000
0.113 -0.063 0.309 -0.041 0.995 -0.000
E10 11.029 3.724 0.328
0.001 0.190 0.054 -0.111 0.567 -0.033
E11 1.665 3.802 3.910
0.197 -0.074 0.051 0.112 0.048 0.115
TWENTY FOUR PSYCHOLOGICAL TESTS 53
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E12 E13 E14
E12 50.039[VARE12] 2.146 2.303
0.143 0.084 0.129 -0.089
E13 2.146 50.420[VARE13] 0.547
0.143 0.084 0.460 -0.044
E14 2.303 0.547 60.453[VARE14]
0.129 -0.089 0.460 -0.044
E15 0.045 1.267 3.944
0.832 0.012 0.260 -0.066 0.047 0.136
E16 4.123 1.042 4.683
0.042 -0.113 0.307 0.057 0.030 0.144
E17 0.504 4.406 0.417
0.478 0.039 0.036 -0.117 0.518 0.043
E18 2.085 0.011 7.683
0.149 0.079 0.917 -0.006 0.006 -0.182
E19 4.831 0.221 0.727
0.028 -0.130 0.638 0.028 0.394 -0.059
E20 0.161 3.225 2.181
0.688 0.021 0.073 -0.093 0.140 0.086
E21 0.176 0.112 0.869
0.675 0.023 0.738 0.018 0.351 -0.058
E22 1.454 1.183 0.069
0.228 -0.063 0.277 -0.057 0.792 0.016
E23 2.488 0.032 0.014
0.115 0.075 0.859 -0.009 0.907 -0.006
E24 1.516 7.482 0.640
0.218 -0.071 0.006 -0.158 0.424 0.047
TWENTY FOUR PSYCHOLOGICAL TESTS 54
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E15 E16 E17
F1 0.241 9.303 6.332
0.624 -0.029 0.002 0.176 0.012 -0.145
F2 0.489 1.306 0.882
0.484 0.043 0.253 -0.069 0.348 0.056
F3 2.266 3.601 0.560
0.132 -0.103 0.058 -0.127 0.454 0.050
F4 1.755 0.780 2.117
0.185 0.119 0.377 -0.079 0.146 0.131
E1 0.005 3.550 3.006
0.941 0.004 0.060 0.107 0.083 -0.098
E2 0.015 1.758 6.834
0.903 -0.008 0.185 0.085 0.009 -0.168
E3 2.762 0.344 0.000
0.097 -0.111 0.557 0.037 0.992 0.001
E4 0.648 2.164 0.005
0.421 -0.052 0.141 0.090 0.945 0.004
E5 0.182 2.443 1.011
0.669 0.020 0.118 -0.071 0.315 -0.045
E6 0.707 1.736 0.495
0.400 0.039 0.188 0.059 0.482 0.031
E7 0.408 1.381 0.119
0.523 -0.029 0.240 -0.051 0.730 0.015
E8 1.329 0.723 0.028
0.249 -0.064 0.395 0.045 0.868 -0.009
E9 0.686 0.044 0.667
0.407 0.037 0.834 -0.009 0.414 0.035
E10 0.008 3.355 1.259
0.929 -0.005 0.067 -0.101 0.262 0.062
E11 0.180 1.026 1.174
0.672 0.025 0.311 0.056 0.279 0.060
TWENTY FOUR PSYCHOLOGICAL TESTS 55
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E15 E16 E17
E12 0.045 4.123 0.504
0.832 0.012 0.042 -0.113 0.478 0.039
E13 1.267 1.042 4.406
0.260 -0.066 0.307 0.057 0.036 -0.117
E14 3.944 4.683 0.417
0.047 0.136 0.030 0.144 0.518 0.043
E15 59.932[VARE15] 0.085 0.396
0.770 0.019 0.529 0.042
E16 0.085 52.931[VARE16] 1.144
0.770 0.019 0.285 -0.069
E17 0.396 1.144 52.184[VARE17]
0.529 0.042 0.285 -0.069
E18 0.001 1.371 1.829
0.977 0.002 0.242 -0.076 0.176 0.087
E19 1.410 0.809 0.132
0.235 -0.081 0.368 -0.060 0.716 0.024
E20 0.535 1.540 0.023
0.465 0.043 0.215 0.069 0.880 0.008
E21 0.015 0.138 3.405
0.902 -0.008 0.711 0.022 0.065 -0.108
E22 0.039 1.290 0.165
0.844 0.012 0.256 -0.064 0.684 0.023
E23 0.003 0.000 0.150
0.958 0.003 0.989 -0.001 0.698 0.020
E24 1.828 0.203 0.000
0.176 -0.080 0.652 -0.025 0.994 0.000
TWENTY FOUR PSYCHOLOGICAL TESTS 56
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E18 E19 E20
F1 0.570 0.414 0.727
0.450 0.043 0.520 0.038 0.394 -0.054
F2 3.831 0.125 2.651
0.050 -0.116 0.723 0.022 0.104 0.092
F3 4.332 0.043 2.575
0.037 0.139 0.836 0.014 0.109 -0.096
F4 1.526 1.283 0.705
0.217 -0.112 0.257 -0.102 0.401 0.052
E1 2.024 0.010 2.661
0.155 0.079 0.919 0.006 0.103 -0.089
E2 1.934 0.600 0.000
0.164 0.087 0.439 -0.053 0.991 0.001
E3 0.007 4.376 0.100
0.931 -0.005 0.036 0.140 0.751 -0.019
E4 0.245 1.170 0.233
0.621 0.029 0.279 -0.070 0.630 -0.028
E5 2.408 1.652 0.487
0.121 0.069 0.199 -0.062 0.485 -0.029
E6 3.400 0.018 0.195
0.065 -0.080 0.892 0.006 0.658 0.018
E7 0.981 0.032 1.720
0.322 -0.042 0.859 0.008 0.190 0.053
E8 0.045 0.265 0.002
0.833 0.011 0.607 0.029 0.961 0.002
E9 0.237 0.668 0.071
0.626 -0.020 0.414 0.037 0.790 0.011
E10 0.589 0.187 0.060
0.443 0.041 0.665 -0.025 0.806 -0.013
E11 0.164 0.182 1.431
0.686 -0.022 0.670 0.025 0.232 -0.061
TWENTY FOUR PSYCHOLOGICAL TESTS 57
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E18 E19 E20
E12 2.085 4.831 0.161
0.149 0.079 0.028 -0.130 0.688 0.021
E13 0.011 0.221 3.225
0.917 -0.006 0.638 0.028 0.073 -0.093
E14 7.683 0.727 2.181
0.006 -0.182 0.394 -0.059 0.140 0.086
E15 0.001 1.410 0.535
0.977 0.002 0.235 -0.081 0.465 0.043
E16 1.371 0.809 1.540
0.242 -0.076 0.368 -0.060 0.215 0.069
E17 1.829 0.132 0.023
0.176 0.087 0.716 0.024 0.880 0.008
E18 48.432[VARE18] 0.559 0.063
0.455 0.049 0.801 -0.014
E19 0.559 60.795[VARE19] 4.369
0.455 0.049 0.037 -0.123
E20 0.063 4.369 55.917[VARE20]
0.801 -0.014 0.037 -0.123
E21 1.009 1.469 0.054
0.315 0.057 0.226 0.075 0.816 0.013
E22 0.023 2.269 0.257
0.879 0.008 0.132 0.089 0.612 0.027
E23 3.132 0.100 0.075
0.077 -0.089 0.752 0.017 0.784 0.014
E24 0.631 4.174 0.730
0.427 0.044 0.041 0.121 0.393 0.044
TWENTY FOUR PSYCHOLOGICAL TESTS 58
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E21 E22 E23
F1 0.976 0.713 0.036
0.323 -0.064 0.398 -0.054 0.850 -0.012
F2 3.194 1.555 0.449
0.074 -0.104 0.212 0.070 0.503 0.036
F3 15.047 0.947 0.264
0.000 0.243 0.331 -0.059 0.608 0.029
F4 0.038 0.452 0.889
0.845 -0.013 0.502 0.042 0.346 -0.056
E1 0.189 0.119 0.057
0.664 -0.025 0.731 -0.019 0.811 -0.012
E2 0.609 1.218 0.263
0.435 0.050 0.270 -0.067 0.608 0.029
E3 4.585 1.419 0.626
0.032 -0.135 0.234 -0.072 0.429 0.045
E4 0.210 0.221 3.066
0.647 0.028 0.638 0.027 0.080 -0.096
E5 0.127 1.043 0.117
0.721 0.016 0.307 0.043 0.733 -0.013
E6 1.711 0.627 0.322
0.191 -0.057 0.428 -0.033 0.570 -0.022
E7 0.278 0.043 1.599
0.598 0.022 0.836 -0.008 0.206 -0.047
E8 0.909 2.035 1.898
0.340 0.049 0.154 -0.070 0.168 0.062
E9 3.134 4.064 2.828
0.077 -0.074 0.044 0.080 0.093 0.062
E10 6.607 0.783 0.301
0.010 0.138 0.376 -0.045 0.584 0.026
E11 1.052 1.291 3.940
0.305 0.055 0.256 0.058 0.047 -0.094
TWENTY FOUR PSYCHOLOGICAL TESTS 59
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E21 E22 E23
E12 0.176 1.454 2.488
0.675 0.023 0.228 -0.063 0.115 0.075
E13 0.112 1.183 0.032
0.738 0.018 0.277 -0.057 0.859 -0.009
E14 0.869 0.069 0.014
0.351 -0.058 0.792 0.016 0.907 -0.006
E15 0.015 0.039 0.003
0.902 -0.008 0.844 0.012 0.958 0.003
E16 0.138 1.290 0.000
0.711 0.022 0.256 -0.064 0.989 -0.001
E17 3.405 0.165 0.150
0.065 -0.108 0.684 0.023 0.698 0.020
E18 1.009 0.023 3.132
0.315 0.057 0.879 0.008 0.077 -0.089
E19 1.469 2.269 0.100
0.226 0.075 0.132 0.089 0.752 0.017
E20 0.054 0.257 0.075
0.816 0.013 0.612 0.027 0.784 0.014
E21 60.644[VARE21] 0.328 0.000
0.567 -0.032 0.988 0.001
E22 0.328 56.454[VARE22] 0.055
0.567 -0.032 0.815 0.012
E23 0.000 0.055 47.351[VARE23]
0.988 0.001 0.815 0.012
E24 0.236 0.678 0.512
0.627 0.027 0.410 0.043 0.474 0.034
TWENTY FOUR PSYCHOLOGICAL TESTS 60
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E24
F1 0.454
0.500 0.035
F2 6.503
0.011 0.142
F3 14.112
0.000 -0.328
F4 1.122
0.290 0.066
E1 3.629
0.057 -0.101
E2 0.000
0.996 0.000
E3 0.000
0.990 -0.001
E4 0.032
0.859 -0.010
E5 0.200
0.655 -0.019
E6 0.934
0.334 0.040
E7 1.082
0.298 0.042
E8 0.541
0.462 -0.036
E9 1.349
0.246 0.047
E10 3.383
0.066 0.106
E11 2.419
0.120 -0.089
TWENTY FOUR PSYCHOLOGICAL TESTS 61
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices
_PHI_[28:28]
Symmetric Matrix
Univariate Tests for Constant Constraints (Contd.)
E24
E12 1.516
0.218 -0.071
E13 7.482
0.006 -0.158
E14 0.640
0.424 0.047
E15 1.828
0.176 -0.080
E16 0.203
0.652 -0.025
E17 0.000
0.994 0.000
E18 0.631
0.427 0.044
E19 4.174
0.041 0.121
E20 0.730
0.393 0.044
E21 0.236
0.627 0.027
E22 0.678
0.410 0.043
E23 0.512
0.474 0.034
E24 51.004[VARE24]
TWENTY FOUR PSYCHOLOGICAL TESTS 62
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Rank order of 10 largest Lagrange multipliers in _PHI_
E21 : F3 E24 : F3 E10 : E3
15.0472 : 0.000 14.1124 : 0.000 13.3222 : 0.000
E13 : E1 E10 : F3 E12 : E10
12.5137 : 0.000 11.1492 : 0.001 11.0294 : 0.001
E12 : F2 E16 : F1 E8 : F2
10.6230 : 0.001 9.3033 : 0.002 8.7439 : 0.003
E10 : F1
7.9245 : 0.005
TWENTY FOUR PSYCHOLOGICAL TESTS 63
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _GAMMA_[24:4]
General Matrix
Univariate Tests for Constant Constraints
------------------------------------------
| Lagrange Multiplier or Wald Index |
------------------------------------------
| Probability | Approx Change of Value |
------------------------------------------
F1 F2
TEST1 67.288[LT1F1 ] 2.092
0.148 -0.169
TEST2 26.662[LT2F1 ] 1.064
0.302 -0.133
TEST3 31.231[LT3F1 ] 0.383
0.536 -0.079
TEST4 43.628[LT4F1 ] 0.008
0.928 0.011
TEST5 0.007 131.342[LT5F2 ]
0.935 -0.008
TEST6 0.124 137.117[LT6F2 ]
0.724 -0.033
TEST7 2.121 145.342[LT7F2 ]
0.145 -0.134
TEST8 7.852 86.586[LT8F2 ]
0.005 0.303
TEST9 0.015 150.535[LT9F2 ]
0.903 -0.011
TEST10 13.970 3.297
0.000 -0.405 0.069 -0.161
TEST11 0.392 0.012
0.531 -0.068 0.912 0.010
TEST12 1.480 9.716
0.224 -0.132 0.002 -0.278
TEST13 5.982 1.579
0.014 0.267 0.209 0.112
TWENTY FOUR PSYCHOLOGICAL TESTS 64
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _GAMMA_[24:4]
General Matrix
Univariate Tests for Constant Constraints (Contd.)
F1 F2
TEST14 0.370 1.241
0.543 -0.090 0.265 0.110
TEST15 0.262 0.020
0.609 -0.075 0.888 0.014
TEST16 4.418 0.011
0.036 0.307 0.915 -0.010
TEST17 4.075 0.019
0.044 -0.295 0.889 -0.013
TEST18 0.003 1.888
0.958 -0.008 0.169 -0.132
TEST19 1.302 0.745
0.254 0.168 0.388 0.086
TEST20 73.904[LT20F1] 2.008
0.156 0.163
TEST21 56.722[LT21F1] 1.663
0.197 -0.154
TEST22 72.070[LT22F1] 1.252
0.263 0.129
TEST23 99.718[LT23F1] 0.597
0.440 0.085
TEST24 11.108 13.651
0.001 0.364 0.000 0.331
TWENTY FOUR PSYCHOLOGICAL TESTS 65
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _GAMMA_[24:4]
General Matrix
Univariate Tests for Constant Constraints (Contd.)
F3 F4
TEST1 0.304 0.226
0.582 0.060 0.635 0.065
TEST2 0.608 0.612
0.435 -0.095 0.434 -0.118
TEST3 2.565 0.002
0.109 -0.192 0.964 -0.007
TEST4 1.527 1.078
0.217 -0.143 0.299 -0.149
TEST5 1.555 0.001
0.212 0.093 0.974 0.002
TEST6 0.159 0.115
0.691 -0.029 0.735 0.025
TEST7 0.421 3.200
0.516 -0.046 0.074 -0.131
TEST8 5.487 4.678
0.019 0.199 0.031 0.187
TEST9 3.018 0.008
0.082 -0.123 0.929 -0.006
TEST10 78.891[LT10F3] 6.390
0.011 -0.309
TEST11 77.370[LT11F3] 3.074
0.080 0.215
TEST12 73.999[LT12F3] 3.215
0.073 -0.220
TEST13 73.049[LT13F3] 0.011
0.918 0.013
TEST14 0.007 34.222[LT14F4]
0.932 0.011
TEST15 2.365 35.522[LT15F4]
0.124 -0.204
TWENTY FOUR PSYCHOLOGICAL TESTS 66
MAXIMUM LIKELIHOOD CONFIRMATOR FACTOR ANALYSIS
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _GAMMA_[24:4]
General Matrix
Univariate Tests for Constant Constraints (Contd.)
F3 F4
TEST16 2.204 51.721[LT16F4]
0.138 -0.195
TEST17 0.103 53.322[LT17F4]
0.749 0.042
TEST18 3.119 61.021[LT18F4]
0.077 0.231
TEST19 0.359 33.364[LT19F4]
0.549 0.080
TEST20 1.483 0.009
0.223 -0.132 0.926 0.012
TEST21 15.010 2.631
0.000 0.435 0.105 0.226
TEST22 0.416 0.048
0.519 -0.070 0.827 0.029
TEST23 0.097 0.595
0.756 0.032 0.440 -0.099
TEST24 71.577[LT24F3] 6.490
0.011 0.314
Rank order of 10 largest Lagrange multipliers in _GAMMA_
TEST21 : F3 TEST10 : F1 TEST24 : F2
15.0097 : 0.000 13.9704 : 0.000 13.6506 : 0.000
TEST24 : F1 TEST12 : F2 TEST8 : F1
11.1079 : 0.001 9.7157 : 0.002 7.8516 : 0.005
TEST24 : F4 TEST10 : F4 TEST13 : F1
6.4896 : 0.011 6.3902 : 0.011 5.9818 : 0.014
TEST8 : F3
5.4866 : 0.019