Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010 10:58 PM
INPUT INSTRUCTIONS
title:
cont14
Classic factor analysis
The CFA bi-factor model in Harman(1976), p. 127
Raw data from Holzinger-Swineford
as entered by the students of Muthen's Fall 1993
UCLA Education 210E class:
Grades VII and VIII of the
Grant-White elementary school in Forest Park, Illinois
n=145
The 24 tests and the 2 revised/new tests.
Gender, grade, and age information
Sources:
Holzinger, K. J. & Swineford, F. (1939).
A study in Factor Analysis: The Stability of a Bi-Factor
Solution. Supplementary Educational Monographs.
Chicago, Ill.: The University of Chicago.
Harman, H.H. (1976). Modern Factor Analysis.
Third Edition. Chicago: The University of Chicago Press
data:
file is holzingr.dat;
format is
f3,2f2,f3,2f2/3x,13(1x,f3)/3x,13(1x,f3);
variable:
names are id female grade agey agem school
visual cubes paper flags general paragrap
sentence wordc wordm addition code counting straight wordr
numberr figurer object numberf figurew deduct
numeric problemr series arithmet paperrev flagssub;
! id is student record; these data are the n=145 students
! in records 201-351 given in the 1939 monograph.
! agey is age in years, agem is age in months.
! school = 0 is Grant-White
usev are visual cubes paper flags general paragrap
sentence wordc wordm addition code counting straight wordr
numberr figurer object numberf figurew deduct
numeric problemr series arithmet;
define:
! the variables have very different scales (very
! different variances) which makes convergence harder.
! transforming certain variables to produce more
! similar variances makes convergence easier:
general=general/3; addition=addition/3; code=code/3;
counting=counting/3; straight=straight/3;
wordr=wordr/3; deduct=deduct/3;
analysis:
estimator = ml;
model:
g by visual-arithmet;
spatial by visual-flags;
verbal by general-wordm;
speed by addition-straight;
recogn by wordr-object;
memory by numberf object figurew;
! uncorrelated factors because of the general factor:
g with spatial-memory @0;
spatial with verbal-memory @0;
verbal with speed-memory @0;
speed with recogn-memory @0;
recogn with memory @0;
! correlated residual ("doublet factor"):
addition with arithmet;
output:
sampstat standardized modindices(3.84);
INPUT READING TERMINATED NORMALLY
cont14
Classic factor analysis
The CFA bi-factor model in Harman(1976), p. 127
Raw data from Holzinger-Swineford
as entered by the students of Muthen's Fall 1993
UCLA Education 210E class:
Grades VII and VIII of the
Grant-White elementary school in Forest Park, Illinois
n=145
The 24 tests and the 2 revised/new tests.
Gender, grade, and age information
Sources:
Holzinger, K. J. & Swineford, F. (1939).
A study in Factor Analysis: The Stability of a Bi-Factor
Solution. Supplementary Educational Monographs.
Chicago, Ill.: The University of Chicago.
Harman, H.H. (1976). Modern Factor Analysis.
Third Edition. Chicago: The University of Chicago Press
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 145
Number of dependent variables 24
Number of independent variables 0
Number of continuous latent variables 6
Observed dependent variables
Continuous
VISUAL CUBES PAPER FLAGS GENERAL PARAGRAP
SENTENCE WORDC WORDM ADDITION CODE COUNTING
STRAIGHT WORDR NUMBERR FIGURER OBJECT NUMBERF
FIGUREW DEDUCT NUMERIC PROBLEMR SERIES ARITHMET
Continuous latent variables
G SPATIAL VERBAL SPEED RECOGN MEMORY
Estimator ML
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Input data file(s)
holzingr.dat
Input data format
(F3,2F2,F3,2F2,/,3X,13(1X,F3),/,3X,13(1X,F3))
SAMPLE STATISTICS
SAMPLE STATISTICS
Means
VISUAL CUBES PAPER FLAGS GENERAL
________ ________ ________ ________ ________
1 29.579 24.800 14.303 15.966 14.949
Means
PARAGRAP SENTENCE WORDC WORDM ADDITION
________ ________ ________ ________ ________
1 9.952 18.848 28.200 17.283 30.060
Means
CODE COUNTING STRAIGHT WORDR NUMBERR
________ ________ ________ ________ ________
1 22.864 36.589 63.926 58.759 89.372
Means
FIGURER OBJECT NUMBERF FIGUREW DEDUCT
________ ________ ________ ________ ________
1 103.400 7.207 9.441 15.241 10.115
Means
NUMERIC PROBLEMR SERIES ARITHMET
________ ________ ________ ________
1 14.455 27.731 18.752 25.828
Covariances
VISUAL CUBES PAPER FLAGS GENERAL
________ ________ ________ ________ ________
VISUAL 47.471
CUBES 9.943 19.622
PAPER 7.210 2.371 7.908
FLAGS 25.620 15.310 8.528 68.695
GENERAL 8.742 4.719 3.362 12.214 14.997
PARAGRAP 7.918 3.397 2.463 9.143 8.099
SENTENCE 9.867 3.273 3.460 11.015 11.733
WORDC 11.994 3.688 5.008 16.800 11.865
WORDM 17.305 6.829 5.797 22.796 22.092
ADDITION 5.671 2.322 2.853 4.887 9.611
CODE 11.669 3.699 3.855 8.317 7.341
COUNTING 14.781 5.189 3.881 13.790 5.677
STRAIGHT 41.266 13.507 13.457 37.991 16.360
WORDR 3.213 1.303 2.528 4.808 3.641
NUMBERR 11.536 4.488 3.928 12.785 6.377
FIGURER 19.582 8.680 5.851 16.221 4.639
OBJECT 5.301 0.221 1.634 5.242 3.751
NUMBERF 11.262 5.247 3.273 13.139 4.507
FIGUREW 6.598 1.752 1.561 5.353 2.716
DEDUCT 16.301 8.568 3.894 18.142 10.177
NUMERIC 12.295 6.263 4.496 16.443 5.952
PROBLEMR 27.908 10.167 4.413 31.205 16.858
SERIES 30.116 14.095 7.599 33.095 15.677
ARITHMET 8.845 4.283 1.576 9.035 7.559
Covariances
PARAGRAP SENTENCE WORDC WORDM ADDITION
________ ________ ________ ________ ________
PARAGRAP 11.315
SENTENCE 11.200 21.467
WORDC 9.348 15.651 28.505
WORDM 19.034 25.146 22.695 62.727
ADDITION 5.550 9.292 12.508 11.179 62.410
CODE 6.695 6.359 8.678 12.588 20.446
COUNTING 2.435 6.393 10.811 6.691 32.345
STRAIGHT 13.013 20.269 26.606 26.481 40.655
WORDR 3.464 3.885 4.660 7.119 4.460
NUMBERR 6.294 5.477 6.815 12.695 8.906
FIGURER 6.571 6.302 10.810 12.666 7.335
OBJECT 4.224 5.287 6.579 10.279 10.838
NUMBERF 2.525 3.653 6.174 7.558 11.339
FIGUREW 3.025 4.009 5.000 7.849 5.632
DEDUCT 9.573 13.958 15.094 23.496 8.403
NUMERIC 4.263 7.014 9.274 10.375 15.285
PROBLEMR 12.821 18.166 18.985 38.124 11.979
SERIES 13.567 17.631 24.608 36.629 18.813
ARITHMET 6.840 9.574 9.745 15.538 19.642
Covariances
CODE COUNTING STRAIGHT WORDR NUMBERR
________ ________ ________ ________ ________
CODE 30.640
COUNTING 16.291 48.639
STRAIGHT 35.897 45.332 151.351
WORDR 6.449 3.271 8.561 12.939
NUMBERR 9.919 8.569 12.768 10.460 56.496
FIGURER 11.792 6.061 23.101 9.303 15.954
OBJECT 9.000 8.830 10.677 6.094 11.854
NUMBERF 8.605 10.862 17.970 3.208 10.732
FIGUREW 5.748 2.688 11.124 2.819 4.938
DEDUCT 7.400 11.542 20.014 7.304 12.994
NUMERIC 10.565 11.983 25.525 3.158 8.403
PROBLEMR 17.180 13.855 34.946 8.783 18.066
SERIES 12.957 22.985 44.016 8.416 17.692
ARITHMET 10.689 13.552 20.626 4.974 5.678
Covariances
FIGURER OBJECT NUMBERF FIGUREW DEDUCT
________ ________ ________ ________ ________
FIGURER 45.937
OBJECT 10.476 20.730
NUMBERF 10.796 9.247 20.150
FIGUREW 6.166 5.343 5.756 12.845
DEDUCT 17.543 8.333 8.988 4.007 43.173
NUMERIC 11.556 4.140 7.716 5.718 12.863
PROBLEMR 19.321 13.187 13.967 12.168 30.681
SERIES 22.430 12.741 11.185 9.970 31.576
ARITHMET 8.600 7.332 8.538 6.290 11.390
Covariances
NUMERIC PROBLEMR SERIES ARITHMET
________ ________ ________ ________
NUMERIC 23.186
PROBLEMR 17.633 95.852
SERIES 20.092 46.381 87.014
ARITHMET 10.134 17.374 18.888 22.060
Correlations
VISUAL CUBES PAPER FLAGS GENERAL
________ ________ ________ ________ ________
VISUAL 1.000
CUBES 0.326 1.000
PAPER 0.372 0.190 1.000
FLAGS 0.449 0.417 0.366 1.000
GENERAL 0.328 0.275 0.309 0.381 1.000
PARAGRAP 0.342 0.228 0.260 0.328 0.622
SENTENCE 0.309 0.159 0.266 0.287 0.654
WORDC 0.326 0.156 0.334 0.380 0.574
WORDM 0.317 0.195 0.260 0.347 0.720
ADDITION 0.104 0.066 0.128 0.075 0.314
CODE 0.306 0.151 0.248 0.181 0.342
COUNTING 0.308 0.168 0.198 0.239 0.210
STRAIGHT 0.487 0.248 0.389 0.373 0.343
WORDR 0.130 0.082 0.250 0.161 0.261
NUMBERR 0.223 0.135 0.186 0.205 0.219
FIGURER 0.419 0.289 0.307 0.289 0.177
OBJECT 0.169 0.011 0.128 0.139 0.213
NUMBERF 0.364 0.264 0.259 0.353 0.259
FIGUREW 0.267 0.110 0.155 0.180 0.196
DEDUCT 0.360 0.294 0.211 0.333 0.400
NUMERIC 0.371 0.294 0.332 0.412 0.319
PROBLEMR 0.414 0.234 0.160 0.385 0.445
SERIES 0.469 0.341 0.290 0.428 0.434
ARITHMET 0.273 0.206 0.119 0.232 0.416
Correlations
PARAGRAP SENTENCE WORDC WORDM ADDITION
________ ________ ________ ________ ________
PARAGRAP 1.000
SENTENCE 0.719 1.000
WORDC 0.520 0.633 1.000
WORDM 0.714 0.685 0.537 1.000
ADDITION 0.209 0.254 0.297 0.179 1.000
CODE 0.360 0.248 0.294 0.287 0.468
COUNTING 0.104 0.198 0.290 0.121 0.587
STRAIGHT 0.314 0.356 0.405 0.272 0.418
WORDR 0.286 0.233 0.243 0.250 0.157
NUMBERR 0.249 0.157 0.170 0.213 0.150
FIGURER 0.288 0.201 0.299 0.236 0.137
OBJECT 0.276 0.251 0.271 0.285 0.301
NUMBERF 0.167 0.176 0.258 0.213 0.320
FIGUREW 0.251 0.241 0.261 0.277 0.199
DEDUCT 0.433 0.458 0.430 0.452 0.162
NUMERIC 0.263 0.314 0.361 0.272 0.402
PROBLEMR 0.389 0.400 0.363 0.492 0.155
SERIES 0.432 0.408 0.494 0.496 0.255
ARITHMET 0.433 0.440 0.389 0.418 0.529
Correlations
CODE COUNTING STRAIGHT WORDR NUMBERR
________ ________ ________ ________ ________
CODE 1.000
COUNTING 0.422 1.000
STRAIGHT 0.527 0.528 1.000
WORDR 0.324 0.130 0.193 1.000
NUMBERR 0.238 0.163 0.138 0.387 1.000
FIGURER 0.314 0.128 0.277 0.382 0.313
OBJECT 0.357 0.278 0.191 0.372 0.346
NUMBERF 0.346 0.347 0.325 0.199 0.318
FIGUREW 0.290 0.108 0.252 0.219 0.183
DEDUCT 0.203 0.252 0.248 0.309 0.263
NUMERIC 0.396 0.357 0.431 0.182 0.232
PROBLEMR 0.317 0.203 0.290 0.249 0.245
SERIES 0.251 0.353 0.384 0.251 0.252
ARITHMET 0.411 0.414 0.357 0.294 0.161
Correlations
FIGURER OBJECT NUMBERF FIGUREW DEDUCT
________ ________ ________ ________ ________
FIGURER 1.000
OBJECT 0.339 1.000
NUMBERF 0.355 0.452 1.000
FIGUREW 0.254 0.327 0.358 1.000
DEDUCT 0.394 0.279 0.305 0.170 1.000
NUMERIC 0.354 0.189 0.357 0.331 0.407
PROBLEMR 0.291 0.296 0.318 0.347 0.477
SERIES 0.355 0.300 0.267 0.298 0.515
ARITHMET 0.270 0.343 0.405 0.374 0.369
Correlations
NUMERIC PROBLEMR SERIES ARITHMET
________ ________ ________ ________
NUMERIC 1.000
PROBLEMR 0.374 1.000
SERIES 0.447 0.508 1.000
ARITHMET 0.448 0.378 0.431 1.000
THE MODEL ESTIMATION TERMINATED NORMALLY
TESTS OF MODEL FIT
Chi-Square Test of Model Fit
Value 308.608
Degrees of Freedom 231
P-Value 0.0005
Chi-Square Test of Model Fit for the Baseline Model
Value 1639.347
Degrees of Freedom 276
P-Value 0.0000
CFI/TLI
CFI 0.943
TLI 0.932
Loglikelihood
H0 Value -10313.561
H1 Value -10159.258
Information Criteria
Number of Free Parameters 93
Akaike (AIC) 20813.123
Bayesian (BIC) 21089.959
Sample-Size Adjusted BIC 20795.674
(n* = (n + 2) / 24)
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.048
90 Percent C.I. 0.033 0.062
Probability RMSEA <= .05 0.575
SRMR (Standardized Root Mean Square Residual)
Value 0.058
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
G BY
VISUAL 1.000 0.000 999.000 999.000
CUBES 0.423 0.093 4.554 0.000
PAPER 0.282 0.060 4.720 0.000
FLAGS 1.092 0.172 6.343 0.000
GENERAL 0.532 0.091 5.870 0.000
PARAGRAP 0.449 0.078 5.750 0.000
SENTENCE 0.610 0.108 5.658 0.000
WORDC 0.760 0.126 6.035 0.000
WORDM 1.100 0.187 5.895 0.000
ADDITION 0.681 0.173 3.946 0.000
CODE 0.656 0.125 5.228 0.000
COUNTING 0.725 0.154 4.696 0.000
STRAIGHT 1.669 0.278 5.996 0.000
WORDR 0.324 0.079 4.082 0.000
NUMBERR 0.638 0.163 3.914 0.000
FIGURER 0.835 0.152 5.510 0.000
OBJECT 0.434 0.101 4.298 0.000
NUMBERF 0.547 0.101 5.411 0.000
FIGUREW 0.371 0.080 4.661 0.000
DEDUCT 0.984 0.156 6.294 0.000
NUMERIC 0.720 0.114 6.333 0.000
PROBLEMR 1.485 0.232 6.406 0.000
SERIES 1.576 0.226 6.967 0.000
ARITHMET 0.674 0.112 6.007 0.000
SPATIAL BY
VISUAL 1.000 0.000 999.000 999.000
CUBES 1.005 0.609 1.651 0.099
PAPER 0.440 0.287 1.536 0.124
FLAGS 3.198 2.692 1.188 0.235
VERBAL BY
GENERAL 1.000 0.000 999.000 999.000
PARAGRAP 0.952 0.148 6.449 0.000
SENTENCE 1.382 0.209 6.605 0.000
WORDC 0.916 0.205 4.463 0.000
WORDM 2.276 0.316 7.200 0.000
SPEED BY
ADDITION 1.000 0.000 999.000 999.000
CODE 0.494 0.125 3.948 0.000
COUNTING 0.948 0.193 4.916 0.000
STRAIGHT 1.161 0.295 3.940 0.000
RECOGN BY
WORDR 1.000 0.000 999.000 999.000
NUMBERR 1.507 0.578 2.607 0.009
FIGURER 0.946 0.390 2.428 0.015
OBJECT 0.772 0.303 2.550 0.011
MEMORY BY
NUMBERF 1.000 0.000 999.000 999.000
OBJECT 1.063 0.636 1.672 0.094
FIGUREW 0.483 0.253 1.913 0.056
G WITH
SPATIAL 0.000 0.000 999.000 999.000
VERBAL 0.000 0.000 999.000 999.000
SPEED 0.000 0.000 999.000 999.000
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
SPATIAL WITH
VERBAL 0.000 0.000 999.000 999.000
SPEED 0.000 0.000 999.000 999.000
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
VERBAL WITH
SPEED 0.000 0.000 999.000 999.000
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
SPEED WITH
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
RECOGN WITH
MEMORY 0.000 0.000 999.000 999.000
ADDITION WITH
ARITHMET 8.967 2.171 4.131 0.000
Intercepts
VISUAL 29.579 0.572 51.695 0.000
CUBES 24.800 0.368 67.416 0.000
PAPER 14.303 0.234 61.248 0.000
FLAGS 15.966 0.688 23.195 0.000
GENERAL 14.949 0.322 46.485 0.000
PARAGRAP 9.952 0.279 35.625 0.000
SENTENCE 18.848 0.385 48.986 0.000
WORDC 28.200 0.443 63.602 0.000
WORDM 17.283 0.658 26.277 0.000
ADDITION 30.060 0.640 46.953 0.000
CODE 22.864 0.460 49.739 0.000
COUNTING 36.589 0.579 63.173 0.000
STRAIGHT 63.926 1.022 62.571 0.000
WORDR 58.759 0.299 196.702 0.000
NUMBERR 89.372 0.624 143.178 0.000
FIGURER 103.400 0.563 183.706 0.000
OBJECT 7.207 0.375 19.199 0.000
NUMBERF 9.441 0.373 25.327 0.000
FIGUREW 15.241 0.298 51.208 0.000
DEDUCT 10.115 0.546 18.537 0.000
NUMERIC 14.455 0.400 36.149 0.000
PROBLEMR 27.731 0.813 34.107 0.000
SERIES 18.752 0.775 24.206 0.000
ARITHMET 25.828 0.390 66.216 0.000
Variances
G 18.267 4.691 3.894 0.000
SPATIAL 2.027 2.433 0.833 0.405
VERBAL 4.432 1.169 3.793 0.000
SPEED 20.362 6.037 3.373 0.001
RECOGN 4.477 1.957 2.288 0.022
MEMORY 4.236 2.846 1.488 0.137
Residual Variances
VISUAL 27.178 3.765 7.218 0.000
CUBES 14.308 2.086 6.860 0.000
PAPER 6.063 0.778 7.790 0.000
FLAGS 26.206 14.177 1.849 0.065
GENERAL 5.400 0.783 6.898 0.000
PARAGRAP 3.625 0.561 6.462 0.000
SENTENCE 6.191 1.085 5.704 0.000
WORDC 14.242 1.813 7.856 0.000
WORDM 17.661 3.003 5.881 0.000
ADDITION 30.590 5.567 5.495 0.000
CODE 17.817 2.458 7.247 0.000
COUNTING 20.735 4.114 5.040 0.000
STRAIGHT 73.003 10.803 6.757 0.000
WORDR 6.540 1.786 3.661 0.000
NUMBERR 38.900 6.020 6.462 0.000
FIGURER 29.180 3.947 7.393 0.000
OBJECT 9.530 3.228 2.952 0.003
NUMBERF 10.443 2.796 3.735 0.000
FIGUREW 9.342 1.253 7.457 0.000
DEDUCT 25.500 3.319 7.683 0.000
NUMERIC 13.720 1.783 7.696 0.000
PROBLEMR 55.555 7.261 7.651 0.000
SERIES 41.664 5.761 7.232 0.000
ARITHMET 13.759 1.774 7.754 0.000
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
G BY
VISUAL 0.620 0.058 10.665 0.000
CUBES 0.408 0.076 5.397 0.000
PAPER 0.428 0.074 5.753 0.000
FLAGS 0.563 0.063 8.889 0.000
GENERAL 0.587 0.061 9.634 0.000
PARAGRAP 0.570 0.063 9.116 0.000
SENTENCE 0.563 0.063 8.891 0.000
WORDC 0.608 0.059 10.339 0.000
WORDM 0.594 0.061 9.804 0.000
ADDITION 0.378 0.077 4.882 0.000
CODE 0.506 0.068 7.419 0.000
COUNTING 0.445 0.073 6.090 0.000
STRAIGHT 0.580 0.062 9.385 0.000
WORDR 0.385 0.077 5.031 0.000
NUMBERR 0.363 0.078 4.659 0.000
FIGURER 0.527 0.066 7.973 0.000
OBJECT 0.411 0.075 5.470 0.000
NUMBERF 0.521 0.067 7.806 0.000
FIGUREW 0.442 0.073 6.081 0.000
DEDUCT 0.640 0.055 11.535 0.000
NUMERIC 0.639 0.055 11.518 0.000
PROBLEMR 0.648 0.055 11.890 0.000
SERIES 0.722 0.047 15.509 0.000
ARITHMET 0.613 0.058 10.495 0.000
SPATIAL BY
VISUAL 0.207 0.123 1.677 0.094
CUBES 0.323 0.127 2.540 0.011
PAPER 0.223 0.123 1.818 0.069
FLAGS 0.549 0.193 2.851 0.004
VERBAL BY
GENERAL 0.544 0.064 8.506 0.000
PARAGRAP 0.596 0.061 9.808 0.000
SENTENCE 0.628 0.061 10.260 0.000
WORDC 0.361 0.073 4.980 0.000
WORDM 0.605 0.061 9.890 0.000
SPEED BY
ADDITION 0.585 0.078 7.473 0.000
CODE 0.403 0.082 4.882 0.000
COUNTING 0.613 0.077 7.997 0.000
STRAIGHT 0.426 0.079 5.388 0.000
RECOGN BY
WORDR 0.588 0.120 4.888 0.000
NUMBERR 0.424 0.107 3.977 0.000
FIGURER 0.295 0.096 3.083 0.002
OBJECT 0.361 0.099 3.634 0.000
MEMORY BY
NUMBERF 0.458 0.150 3.047 0.002
OBJECT 0.484 0.159 3.051 0.002
FIGUREW 0.278 0.111 2.509 0.012
G WITH
SPATIAL 0.000 0.000 999.000 999.000
VERBAL 0.000 0.000 999.000 999.000
SPEED 0.000 0.000 999.000 999.000
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
SPATIAL WITH
VERBAL 0.000 0.000 999.000 999.000
SPEED 0.000 0.000 999.000 999.000
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
VERBAL WITH
SPEED 0.000 0.000 999.000 999.000
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
SPEED WITH
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
RECOGN WITH
MEMORY 0.000 0.000 999.000 999.000
ADDITION WITH
ARITHMET 0.437 0.084 5.222 0.000
Intercepts
VISUAL 4.293 0.265 16.174 0.000
CUBES 5.599 0.339 16.511 0.000
PAPER 5.086 0.310 16.407 0.000
FLAGS 1.926 0.140 13.727 0.000
GENERAL 3.860 0.241 15.990 0.000
PARAGRAP 2.958 0.193 15.364 0.000
SENTENCE 4.068 0.253 16.085 0.000
WORDC 5.282 0.321 16.450 0.000
WORDM 2.182 0.153 14.291 0.000
ADDITION 3.899 0.235 16.585 0.000
CODE 4.131 0.256 16.111 0.000
COUNTING 5.246 0.319 16.442 0.000
STRAIGHT 5.196 0.316 16.432 0.000
WORDR 16.335 0.963 16.966 0.000
NUMBERR 11.890 0.703 16.910 0.000
FIGURER 15.256 0.900 16.957 0.000
OBJECT 1.594 0.124 12.832 0.000
NUMBERF 2.103 0.149 14.132 0.000
FIGUREW 4.253 0.263 16.159 0.000
DEDUCT 1.539 0.123 12.541 0.000
NUMERIC 3.002 0.195 15.405 0.000
PROBLEMR 2.832 0.186 15.236 0.000
SERIES 2.010 0.144 13.928 0.000
ARITHMET 5.499 0.333 16.493 0.000
Variances
G 1.000 0.000 999.000 999.000
SPATIAL 1.000 0.000 999.000 999.000
VERBAL 1.000 0.000 999.000 999.000
SPEED 1.000 0.000 999.000 999.000
RECOGN 1.000 0.000 999.000 999.000
MEMORY 1.000 0.000 999.000 999.000
Residual Variances
VISUAL 0.573 0.075 7.626 0.000
CUBES 0.729 0.089 8.186 0.000
PAPER 0.767 0.073 10.470 0.000
FLAGS 0.381 0.208 1.838 0.066
GENERAL 0.360 0.057 6.340 0.000
PARAGRAP 0.320 0.054 5.882 0.000
SENTENCE 0.288 0.055 5.229 0.000
WORDC 0.500 0.064 7.853 0.000
WORDM 0.282 0.053 5.350 0.000
ADDITION 0.515 0.090 5.694 0.000
CODE 0.581 0.075 7.717 0.000
COUNTING 0.426 0.087 4.915 0.000
STRAIGHT 0.482 0.072 6.683 0.000
WORDR 0.505 0.138 3.664 0.000
NUMBERR 0.689 0.094 7.304 0.000
FIGURER 0.635 0.077 8.286 0.000
OBJECT 0.466 0.158 2.953 0.003
NUMBERF 0.518 0.138 3.748 0.000
FIGUREW 0.727 0.079 9.239 0.000
DEDUCT 0.591 0.071 8.322 0.000
NUMERIC 0.592 0.071 8.347 0.000
PROBLEMR 0.580 0.071 8.196 0.000
SERIES 0.479 0.067 7.124 0.000
ARITHMET 0.624 0.072 8.698 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
G BY
VISUAL 0.620 0.058 10.665 0.000
CUBES 0.408 0.076 5.397 0.000
PAPER 0.428 0.074 5.753 0.000
FLAGS 0.563 0.063 8.889 0.000
GENERAL 0.587 0.061 9.634 0.000
PARAGRAP 0.570 0.063 9.116 0.000
SENTENCE 0.563 0.063 8.891 0.000
WORDC 0.608 0.059 10.339 0.000
WORDM 0.594 0.061 9.804 0.000
ADDITION 0.378 0.077 4.882 0.000
CODE 0.506 0.068 7.419 0.000
COUNTING 0.445 0.073 6.090 0.000
STRAIGHT 0.580 0.062 9.385 0.000
WORDR 0.385 0.077 5.031 0.000
NUMBERR 0.363 0.078 4.659 0.000
FIGURER 0.527 0.066 7.973 0.000
OBJECT 0.411 0.075 5.470 0.000
NUMBERF 0.521 0.067 7.806 0.000
FIGUREW 0.442 0.073 6.081 0.000
DEDUCT 0.640 0.055 11.535 0.000
NUMERIC 0.639 0.055 11.518 0.000
PROBLEMR 0.648 0.055 11.890 0.000
SERIES 0.722 0.047 15.509 0.000
ARITHMET 0.613 0.058 10.495 0.000
SPATIAL BY
VISUAL 0.207 0.123 1.677 0.094
CUBES 0.323 0.127 2.540 0.011
PAPER 0.223 0.123 1.818 0.069
FLAGS 0.549 0.193 2.851 0.004
VERBAL BY
GENERAL 0.544 0.064 8.506 0.000
PARAGRAP 0.596 0.061 9.808 0.000
SENTENCE 0.628 0.061 10.260 0.000
WORDC 0.361 0.073 4.980 0.000
WORDM 0.605 0.061 9.890 0.000
SPEED BY
ADDITION 0.585 0.078 7.473 0.000
CODE 0.403 0.082 4.882 0.000
COUNTING 0.613 0.077 7.997 0.000
STRAIGHT 0.426 0.079 5.388 0.000
RECOGN BY
WORDR 0.588 0.120 4.888 0.000
NUMBERR 0.424 0.107 3.977 0.000
FIGURER 0.295 0.096 3.083 0.002
OBJECT 0.361 0.099 3.634 0.000
MEMORY BY
NUMBERF 0.458 0.150 3.047 0.002
OBJECT 0.484 0.159 3.051 0.002
FIGUREW 0.278 0.111 2.509 0.012
G WITH
SPATIAL 0.000 0.000 999.000 999.000
VERBAL 0.000 0.000 999.000 999.000
SPEED 0.000 0.000 999.000 999.000
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
SPATIAL WITH
VERBAL 0.000 0.000 999.000 999.000
SPEED 0.000 0.000 999.000 999.000
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
VERBAL WITH
SPEED 0.000 0.000 999.000 999.000
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
SPEED WITH
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
RECOGN WITH
MEMORY 0.000 0.000 999.000 999.000
ADDITION WITH
ARITHMET 0.437 0.084 5.222 0.000
Intercepts
VISUAL 4.293 0.265 16.174 0.000
CUBES 5.599 0.339 16.511 0.000
PAPER 5.086 0.310 16.407 0.000
FLAGS 1.926 0.140 13.727 0.000
GENERAL 3.860 0.241 15.990 0.000
PARAGRAP 2.958 0.193 15.364 0.000
SENTENCE 4.068 0.253 16.085 0.000
WORDC 5.282 0.321 16.450 0.000
WORDM 2.182 0.153 14.291 0.000
ADDITION 3.899 0.235 16.585 0.000
CODE 4.131 0.256 16.111 0.000
COUNTING 5.246 0.319 16.442 0.000
STRAIGHT 5.196 0.316 16.432 0.000
WORDR 16.335 0.963 16.966 0.000
NUMBERR 11.890 0.703 16.910 0.000
FIGURER 15.256 0.900 16.957 0.000
OBJECT 1.594 0.124 12.832 0.000
NUMBERF 2.103 0.149 14.132 0.000
FIGUREW 4.253 0.263 16.159 0.000
DEDUCT 1.539 0.123 12.541 0.000
NUMERIC 3.002 0.195 15.405 0.000
PROBLEMR 2.832 0.186 15.236 0.000
SERIES 2.010 0.144 13.928 0.000
ARITHMET 5.499 0.333 16.493 0.000
Variances
G 1.000 0.000 999.000 999.000
SPATIAL 1.000 0.000 999.000 999.000
VERBAL 1.000 0.000 999.000 999.000
SPEED 1.000 0.000 999.000 999.000
RECOGN 1.000 0.000 999.000 999.000
MEMORY 1.000 0.000 999.000 999.000
Residual Variances
VISUAL 0.573 0.075 7.626 0.000
CUBES 0.729 0.089 8.186 0.000
PAPER 0.767 0.073 10.470 0.000
FLAGS 0.381 0.208 1.838 0.066
GENERAL 0.360 0.057 6.340 0.000
PARAGRAP 0.320 0.054 5.882 0.000
SENTENCE 0.288 0.055 5.229 0.000
WORDC 0.500 0.064 7.853 0.000
WORDM 0.282 0.053 5.350 0.000
ADDITION 0.515 0.090 5.694 0.000
CODE 0.581 0.075 7.717 0.000
COUNTING 0.426 0.087 4.915 0.000
STRAIGHT 0.482 0.072 6.683 0.000
WORDR 0.505 0.138 3.664 0.000
NUMBERR 0.689 0.094 7.304 0.000
FIGURER 0.635 0.077 8.286 0.000
OBJECT 0.466 0.158 2.953 0.003
NUMBERF 0.518 0.138 3.748 0.000
FIGUREW 0.727 0.079 9.239 0.000
DEDUCT 0.591 0.071 8.322 0.000
NUMERIC 0.592 0.071 8.347 0.000
PROBLEMR 0.580 0.071 8.196 0.000
SERIES 0.479 0.067 7.124 0.000
ARITHMET 0.624 0.072 8.698 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
G BY
VISUAL 4.274 0.549 7.789 0.000
CUBES 1.808 0.377 4.793 0.000
PAPER 1.205 0.239 5.044 0.000
FLAGS 4.665 0.673 6.931 0.000
GENERAL 2.273 0.311 7.304 0.000
PARAGRAP 1.917 0.272 7.047 0.000
SENTENCE 2.609 0.376 6.932 0.000
WORDC 3.247 0.425 7.636 0.000
WORDM 4.702 0.636 7.389 0.000
ADDITION 2.912 0.667 4.367 0.000
CODE 2.802 0.458 6.115 0.000
COUNTING 3.101 0.588 5.275 0.000
STRAIGHT 7.134 0.993 7.184 0.000
WORDR 1.386 0.306 4.525 0.000
NUMBERR 2.726 0.642 4.245 0.000
FIGURER 3.571 0.555 6.433 0.000
OBJECT 1.856 0.385 4.823 0.000
NUMBERF 2.339 0.369 6.339 0.000
FIGUREW 1.586 0.301 5.267 0.000
DEDUCT 4.204 0.516 8.155 0.000
NUMERIC 3.077 0.378 8.147 0.000
PROBLEMR 6.348 0.765 8.299 0.000
SERIES 6.734 0.703 9.575 0.000
ARITHMET 2.881 0.374 7.708 0.000
SPATIAL BY
VISUAL 1.424 0.855 1.666 0.096
CUBES 1.430 0.576 2.482 0.013
PAPER 0.627 0.349 1.796 0.073
FLAGS 4.553 1.622 2.807 0.005
VERBAL BY
GENERAL 2.105 0.278 7.586 0.000
PARAGRAP 2.003 0.235 8.509 0.000
SENTENCE 2.910 0.329 8.856 0.000
WORDC 1.929 0.408 4.732 0.000
WORDM 4.791 0.550 8.709 0.000
SPEED BY
ADDITION 4.512 0.669 6.745 0.000
CODE 2.229 0.487 4.581 0.000
COUNTING 4.277 0.615 6.957 0.000
STRAIGHT 5.239 1.033 5.070 0.000
RECOGN BY
WORDR 2.116 0.462 4.575 0.000
NUMBERR 3.188 0.847 3.766 0.000
FIGURER 2.001 0.667 3.000 0.003
OBJECT 1.634 0.463 3.525 0.000
MEMORY BY
NUMBERF 2.058 0.691 2.976 0.003
OBJECT 2.188 0.733 2.986 0.003
FIGUREW 0.995 0.405 2.454 0.014
G WITH
SPATIAL 0.000 0.000 999.000 999.000
VERBAL 0.000 0.000 999.000 999.000
SPEED 0.000 0.000 999.000 999.000
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
SPATIAL WITH
VERBAL 0.000 0.000 999.000 999.000
SPEED 0.000 0.000 999.000 999.000
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
VERBAL WITH
SPEED 0.000 0.000 999.000 999.000
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
SPEED WITH
RECOGN 0.000 0.000 999.000 999.000
MEMORY 0.000 0.000 999.000 999.000
RECOGN WITH
MEMORY 0.000 0.000 999.000 999.000
ADDITION WITH
ARITHMET 8.967 2.171 4.131 0.000
Intercepts
VISUAL 29.579 0.572 51.695 0.000
CUBES 24.800 0.368 67.416 0.000
PAPER 14.303 0.234 61.248 0.000
FLAGS 15.966 0.688 23.195 0.000
GENERAL 14.949 0.322 46.485 0.000
PARAGRAP 9.952 0.279 35.625 0.000
SENTENCE 18.848 0.385 48.986 0.000
WORDC 28.200 0.443 63.602 0.000
WORDM 17.283 0.658 26.277 0.000
ADDITION 30.060 0.640 46.953 0.000
CODE 22.864 0.460 49.739 0.000
COUNTING 36.589 0.579 63.173 0.000
STRAIGHT 63.926 1.022 62.571 0.000
WORDR 58.759 0.299 196.702 0.000
NUMBERR 89.372 0.624 143.178 0.000
FIGURER 103.400 0.563 183.706 0.000
OBJECT 7.207 0.375 19.199 0.000
NUMBERF 9.441 0.373 25.327 0.000
FIGUREW 15.241 0.298 51.208 0.000
DEDUCT 10.115 0.546 18.537 0.000
NUMERIC 14.455 0.400 36.149 0.000
PROBLEMR 27.731 0.813 34.107 0.000
SERIES 18.752 0.775 24.206 0.000
ARITHMET 25.828 0.390 66.216 0.000
Variances
G 1.000 0.000 999.000 999.000
SPATIAL 1.000 0.000 999.000 999.000
VERBAL 1.000 0.000 999.000 999.000
SPEED 1.000 0.000 999.000 999.000
RECOGN 1.000 0.000 999.000 999.000
MEMORY 1.000 0.000 999.000 999.000
Residual Variances
VISUAL 27.178 3.765 7.218 0.000
CUBES 14.308 2.086 6.860 0.000
PAPER 6.063 0.778 7.790 0.000
FLAGS 26.206 14.177 1.849 0.065
GENERAL 5.400 0.783 6.898 0.000
PARAGRAP 3.625 0.561 6.462 0.000
SENTENCE 6.191 1.085 5.704 0.000
WORDC 14.242 1.813 7.856 0.000
WORDM 17.661 3.003 5.881 0.000
ADDITION 30.590 5.567 5.495 0.000
CODE 17.817 2.458 7.247 0.000
COUNTING 20.735 4.114 5.040 0.000
STRAIGHT 73.003 10.803 6.757 0.000
WORDR 6.540 1.786 3.661 0.000
NUMBERR 38.900 6.020 6.462 0.000
FIGURER 29.180 3.947 7.393 0.000
OBJECT 9.530 3.228 2.952 0.003
NUMBERF 10.443 2.796 3.735 0.000
FIGUREW 9.342 1.253 7.457 0.000
DEDUCT 25.500 3.319 7.683 0.000
NUMERIC 13.720 1.783 7.696 0.000
PROBLEMR 55.555 7.261 7.651 0.000
SERIES 41.664 5.761 7.232 0.000
ARITHMET 13.759 1.774 7.754 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
VISUAL 0.427 0.075 5.695 0.000
CUBES 0.271 0.089 3.040 0.002
PAPER 0.233 0.073 3.186 0.001
FLAGS 0.619 0.208 2.981 0.003
GENERAL 0.640 0.057 11.269 0.000
PARAGRAP 0.680 0.054 12.478 0.000
SENTENCE 0.712 0.055 12.902 0.000
WORDC 0.500 0.064 7.865 0.000
WORDM 0.718 0.053 13.651 0.000
ADDITION 0.485 0.090 5.369 0.000
CODE 0.419 0.075 5.554 0.000
COUNTING 0.574 0.087 6.614 0.000
STRAIGHT 0.518 0.072 7.173 0.000
WORDR 0.495 0.138 3.586 0.000
NUMBERR 0.311 0.094 3.304 0.001
FIGURER 0.365 0.077 4.758 0.000
OBJECT 0.534 0.158 3.379 0.001
NUMBERF 0.482 0.138 3.484 0.000
FIGUREW 0.273 0.079 3.465 0.001
DEDUCT 0.409 0.071 5.768 0.000
NUMERIC 0.408 0.071 5.759 0.000
PROBLEMR 0.420 0.071 5.945 0.000
SERIES 0.521 0.067 7.754 0.000
ARITHMET 0.376 0.072 5.247 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.714E-05
(ratio of smallest to largest eigenvalue)
MODEL MODIFICATION INDICES
NOTE: Modification indices for direct effects of observed dependent variables
regressed on covariates may not be included. To include these, request
MODINDICES (ALL).
Minimum M.I. value for printing the modification index 3.840
M.I. E.P.C. Std E.P.C. StdYX E.P.C.
BY Statements
SPATIAL BY ADDITION 4.791 -1.095 -1.558 -0.202
SPATIAL BY STRAIGHT 6.524 2.049 2.917 0.237
SPATIAL BY OBJECT 6.556 -0.827 -1.178 -0.261
SPATIAL BY NUMBERF 5.238 0.731 1.040 0.232
VERBAL BY COUNTING 5.764 -0.591 -1.244 -0.178
VERBAL BY FIGURER 4.184 -0.537 -1.130 -0.167
VERBAL BY NUMBERF 6.853 -0.448 -0.942 -0.210
VERBAL BY NUMERIC 4.274 -0.376 -0.791 -0.164
SPEED BY WORDM 5.562 -0.254 -1.147 -0.145
SPEED BY DEDUCT 4.048 -0.242 -1.094 -0.166
SPEED BY NUMERIC 6.328 0.222 1.003 0.208
SPEED BY ARITHMET 5.372 0.223 1.006 0.214
RECOGN BY CODE 7.010 0.634 1.342 0.242
ON/BY Statements
SPEED ON MEMORY /
MEMORY BY SPEED 4.701 0.714 0.326 0.326
MEMORY ON SPEED /
SPEED BY MEMORY 4.701 0.149 0.326 0.326
WITH Statements
WORDC WITH SENTENCE 6.605 2.564 2.564 0.273
WORDM WITH GENERAL 6.053 3.018 3.018 0.309
WORDM WITH SENTENCE 5.335 -3.778 -3.778 -0.361
ADDITION WITH VISUAL 5.334 -6.077 -6.077 -0.211
CODE WITH PARAGRAP 6.303 1.971 1.971 0.245
COUNTING WITH PARAGRAP 4.727 -2.036 -2.036 -0.235
COUNTING WITH CODE 4.299 -5.670 -5.670 -0.295
STRAIGHT WITH VISUAL 7.433 11.535 11.535 0.259
STRAIGHT WITH PAPER 4.433 4.093 4.093 0.195
STRAIGHT WITH ADDITION 4.298 -14.060 -14.060 -0.298
FIGURER WITH VISUAL 4.825 5.683 5.683 0.202
FIGURER WITH GENERAL 4.041 -2.386 -2.386 -0.190
OBJECT WITH CUBES 4.054 -2.462 -2.462 -0.211
FIGUREW WITH COUNTING 4.412 -2.951 -2.951 -0.212
DEDUCT WITH STRAIGHT 4.412 -8.623 -8.623 -0.200
DEDUCT WITH FIGUREW 4.278 -2.902 -2.902 -0.188
NUMERIC WITH ADDITION 5.053 4.219 4.219 0.206
PROBLEMR WITH PAPER 5.151 -3.750 -3.750 -0.204
PROBLEMR WITH WORDM 5.195 7.128 7.128 0.228
SERIES WITH CODE 7.729 -7.241 -7.241 -0.266
SERIES WITH NUMBERF 6.980 -5.710 -5.710 -0.274
ARITHMET WITH PAPER 4.328 -1.571 -1.571 -0.172
MEMORY WITH SPEED 4.701 3.025 0.326 0.326
Beginning Time: 22:58:07
Ending Time: 22:58:07
Elapsed Time: 00:00:00
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