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Nine Psychological Variables: Harman, page 244 1
OBS _TYPE_ _NAME_ X1 X2 X3 X4 X5 X6 X7 X8 X9
1 CORR X1 1.00 . . . . . . . . 2 CORR X2 0.75 1.00 . . . . . . . 3 CORR X3 0.78 0.72 1.00 . . . . . . 4 CORR X4 0.44 0.52 0.47 1.00 . . . . . 5 CORR X5 0.45 0.53 0.48 0.82 1.00 . . . . 6 CORR X6 0.51 0.58 0.54 0.82 0.74 1.00 . . . 7 CORR X7 0.21 0.23 0.28 0.33 0.37 0.35 1.00 . . 8 CORR X8 0.30 0.32 0.37 0.33 0.36 0.38 0.45 1.00 . 9 CORR X9 0.31 0.30 0.37 0.31 0.36 0.38 0.52 0.67 1 10 N 696.00 696.00 696.00 696.00 696.00 696.00 696.00 696.00 696
Nine Psychological Variables: Harman, page 244 2
Initial Factor Method: Principal Components Prior Communality Estimates: ONE
Eigenvalues of the Correlation Matrix: Total = 9 Average = 1
1 2 3 4 5 Eigenvalue 4.7715 1.4047 1.0547 0.5627 0.3247 Difference 3.3668 0.3500 0.4920 0.2379 0.0516 Proportion 0.5302 0.1561 0.1172 0.0625 0.0361 Cumulative 0.5302 0.6862 0.8034 0.8659 0.9020 6 7 8 9 Eigenvalue 0.2732 0.2552 0.2087 0.1447 Difference 0.0180 0.0465 0.0640 Proportion 0.0304 0.0284 0.0232 0.0161 Cumulative 0.9324 0.9607 0.9839 1.0000
3 factors will be retained by the MINEIGEN criterion.
Factor Pattern
FACTOR1 FACTOR2 FACTOR3 X1 0.74639 -0.35293 0.42869 WORD MEANING X2 0.78093 -0.34922 0.27622 SENTENCE COMPOSITION X3 0.78273 -0.25380 0.39678 ODD WORDS X4 0.79755 -0.14791 -0.49874 MIXED ARITHMETIC X5 0.80319 -0.08930 -0.43965 REMAINDERS X6 0.83521 -0.12541 -0.34909 MISSING NUMBERS X7 0.52913 0.57293 -0.05722 GLOVES X8 0.60397 0.57794 0.18377 BOOTS X9 0.60689 0.62123 0.19030 HATCHETS
Variance explained by each factor
FACTOR1 FACTOR2 FACTOR3 4.771456 1.404698 1.054673
Final Communality Estimates: Total = 7.230828
X1 X2 X3 X4 X5
0.865431 0.808101 0.834511 0.906708 0.846387
X6 X7 X8 X9
0.835164 0.611504 0.732573 0.790449
Nine Psychological Variables: Harman, page 244 3
Initial Factor Method: Maximum Likelihood Partial Correlations Controlling all other Variables
X1 X2 X3 X1 1.00000 0.40424 0.50425 WORD MEANING X2 0.40424 1.00000 0.25201 SENTENCE COMPOSITION X3 0.50425 0.25201 1.00000 ODD WORDS X4 -0.01995 0.01421 -0.00107 MIXED ARITHMETIC X5 0.00459 0.09665 0.01419 REMAINDERS X6 0.04150 0.12166 0.06860 MISSING NUMBERS X7 -0.04812 -0.03082 0.04881 GLOVES X8 -0.03148 0.03971 0.07110 BOOTS X9 0.04222 -0.04059 0.05842 HATCHETS X4 X5 X6 X1 -0.01995 0.00459 0.04150 WORD MEANING X2 0.01421 0.09665 0.12166 SENTENCE COMPOSITION X3 -0.00107 0.01419 0.06860 ODD WORDS X4 1.00000 0.54738 0.53521 MIXED ARITHMETIC X5 0.54738 1.00000 0.11486 REMAINDERS X6 0.53521 0.11486 1.00000 MISSING NUMBERS X7 0.01703 0.10206 0.03045 GLOVES X8 0.01185 0.01824 0.03401 BOOTS X9 -0.07798 0.05417 0.08136 HATCHETS X7 X8 X9 X1 -0.04812 -0.03148 0.04222 WORD MEANING X2 -0.03082 0.03971 -0.04059 SENTENCE COMPOSITION X3 0.04881 0.07110 0.05842 ODD WORDS X4 0.01703 0.01185 -0.07798 MIXED ARITHMETIC X5 0.10206 0.01824 0.05417 REMAINDERS X6 0.03045 0.03401 0.08136 MISSING NUMBERS X7 1.00000 0.12175 0.29582 GLOVES X8 0.12175 1.00000 0.52545 BOOTS X9 0.29582 0.52545 1.00000 HATCHETS
Kaiser's Measure of Sampling Adequacy: Over-all MSA = 0.85024238
X1 X2 X3 X4 X5
0.828816 0.896555 0.869478 0.798014 0.873942
X6 X7 X8 X9
0.884318 0.894726 0.819584 0.785328
Nine Psychological Variables: Harman, page 244 4
Initial Factor Method: Maximum Likelihood Prior Communality Estimates: SMC
X1 X2 X3 X4 X5 0.683846 0.647694 0.671547 0.774898 0.703776 X6 X7 X8 X9 0.724007 0.324504 0.483501 0.524769
Preliminary Eigenvalues: Total = 17.008296 Average = 1.88981066
1 2 3 4 5 Eigenvalue 14.0622 2.5967 1.8727 -0.0581 -0.1310 Difference 11.4655 0.7239 1.9308 0.0729 0.0727 Proportion 0.8268 0.1527 0.1101 -0.0034 -0.0077 Cumulative 0.8268 0.9795 1.0896 1.0861 1.0784 6 7 8 9 Eigenvalue -0.2037 -0.3238 -0.3734 -0.4333 Difference 0.1201 0.0495 0.0599 Proportion -0.0120 -0.0190 -0.0220 -0.0255 Cumulative 1.0665 1.0474 1.0255 1.0000
3 factors will be retained by the NFACTOR criterion.
Nine Psychological Variables: Harman, page 244 5
Initial Factor Method: Maximum Likelihood
Scree Plot of Eigenvalues | | 14 + 1 | | | | 12 + | | | | 10 + | | | | E 8 + i | g | e | n | v 6 + a | l | u | e | s 4 + | | | | 2 2 + 3 | | | | 0 + 4 5 | 6 7 8 9 | | | -2 + | | -----+------+------+------+------+------+------+------+------+------+---- 0 1 2 3 4 5 6 7 8 9 Number
Nine Psychological Variables: Harman, page 244 6
Initial Factor Method: Maximum Likelihood Iter Criterion Ridge Change Communalities
1 0.01673 0.000 0.24521 0.82126 0.70999 0.75091 0.92437 0.73747 0.75565 0.36952 0.57645 0.76998 2 0.01636 0.000 0.00779 0.81879 0.71006 0.75243 0.92686 0.73969 0.75872 0.37144 0.58015 0.77777 3 0.01636 0.000 0.00018 0.81863 0.71015 0.75241 0.92702 0.73961 0.75870 0.37134 0.58015 0.77795
Convergence criterion satisfied.
Significance tests based on 696 observations:
Test of H0: No common factors. vs HA: At least one common factor. Chi-square = 4083.043 df = 36 Prob>chi**2 = 0.0001 Test of H0: 3 Factors are sufficient. vs HA: More factors are needed. Chi-square = 11.274 df = 12 Prob>chi**2 = 0.5056 Chi-square without Bartlett's correction = 11.369562962 Akaike's Information Criterion = -12.63043704 Schwarz's Bayesian Criterion = -67.17463296 Tucker and Lewis's Reliability Coefficient = 1.0005380706
Squared Canonical Correlations
FACTOR1 FACTOR2 FACTOR3 0.961575 0.843449 0.789600
Eigenvalues of the Weighted Reduced Correlation Matrix: Total = 34.1649777 Average = 3.79610863
1 2 3 4 5 Eigenvalue 25.0244 5.3877 3.7528 0.0881 0.0660 Difference 19.6367 1.6349 3.6647 0.0222 0.0330 Proportion 0.7325 0.1577 0.1098 0.0026 0.0019 Cumulative 0.7325 0.8902 1.0000 1.0026 1.0045 6 7 8 9 Eigenvalue 0.0330 0.0029 -0.0762 -0.1138 Difference 0.0301 0.0791 0.0376 Proportion 0.0010 0.0001 -0.0022 -0.0033 Cumulative 1.0055 1.0056 1.0033 1.0000
Nine Psychological Variables: Harman, page 244 7
Initial Factor Method: Maximum Likelihood Factor Pattern
FACTOR1 FACTOR2 FACTOR3 X1 0.67810 0.53311 -0.27312 WORD MEANING X2 0.71739 0.37683 -0.23133 SENTENCE COMPOSITION X3 0.69943 0.48616 -0.16383 ODD WORDS X4 0.90009 -0.34026 -0.03292 MIXED ARITHMETIC X5 0.83601 -0.19984 0.02760 REMAINDERS X6 0.86152 -0.12838 0.00171 MISSING NUMBERS X7 0.42139 0.08937 0.43102 GLOVES X8 0.47796 0.24558 0.53981 BOOTS X9 0.48296 0.30240 0.67324 HATCHETS
Variance explained by each factor
FACTOR1 FACTOR2 FACTOR3 Weighted 25.024428 5.387703 3.752847 Unweighted 4.354223 0.994499 1.087226
Final Communality Estimates and Variable Weights Total Communality: Weighted = 34.164978 Unweighted = 6.435948
X1 X2 X3 X4 X5 Communality 0.818623 0.710155 0.752404 0.927018 0.739611 Weight 5.513446 3.450112 4.038876 13.701961 3.840398 X6 X7 X8 X9 Communality 0.758708 0.371332 0.580150 0.777948 Weight 4.144287 1.590673 2.381799 4.503426
Nine Psychological Variables: Harman, page 244 8
Initial Factor Method: Maximum Likelihood
Plot of Factor Pattern for FACTOR1 and FACTOR2 FACTOR1 1 D .9 E F .8 .7 B CA .6 .5 H I .4 G .3 .2 F .1 A C -1 -.9-.8-.7-.6-.5-.4-.3-.2-.1 0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1.0T O -.1 R 2 -.2 -.3 -.4 -.5 -.6 -.7 -.8 -.9 -1 X1 =A X2 =B X3 =C X4 =D X5 =E X6 =F X7 =G X8 =H X9 =I
Nine Psychological Variables: Harman, page 244 9
Initial Factor Method: Maximum Likelihood
Plot of Factor Pattern for FACTOR1 and FACTOR3 FACTOR1 1 D9 E .8 A B C .7 .6 .5 H I .4 G .3 .2 F .1 A C -1 -.9-.8-.7-.6-.5-.4-.3-.2-.1 0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1.0T O -.1 R 3 -.2 -.3 -.4 -.5 -.6 -.7 -.8 -.9 -1 X1 =A X2 =B X3 =C X4 =D X5 =E X6 =E X7 =G X8 =H X9 =I
Nine Psychological Variables: Harman, page 244 10
Initial Factor Method: Maximum Likelihood
Plot of Factor Pattern for FACTOR2 and FACTOR3 FACTOR2 1 .9 .8 .7 .6 A C .5 B .4 .3 I H .2 F .1 G A C -1 -.9-.8-.7-.6-.5-.4-.3-.2-.1 0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1.0T O -.1 R F 3 -.E -.3 D -.4 -.5 -.6 -.7 -.8 -.9 -1 X1 =A X2 =B X3 =C X4 =D X5 =E X6 =F X7 =G X8 =H X9 =I
Nine Psychological Variables: Harman, page 244 11
_TYPE_ _NAME_ X1 X2 X3 X4
MEAN 0.000 0.000 0.000 0.000 STD 1.000 1.000 1.000 1.000 N 696.000 696.000 696.000 696.000 CORR X1 1.000 0.750 0.780 0.440 CORR X2 0.750 1.000 0.720 0.520 CORR X3 0.780 0.720 1.000 0.470 CORR X4 0.440 0.520 0.470 1.000 CORR X5 0.450 0.530 0.480 0.820 CORR X6 0.510 0.580 0.540 0.820 CORR X7 0.210 0.230 0.280 0.330 CORR X8 0.300 0.320 0.370 0.330 CORR X9 0.310 0.300 0.370 0.310 COMMUNAL 0.819 0.710 0.752 0.927 PRIORS 0.819 0.710 0.752 0.927 WEIGHT 5.513 3.450 4.039 13.702 EIGENVAL 25.024 5.388 3.753 0.088 PATTERN FACTOR1 0.678 0.717 0.699 0.900 PATTERN FACTOR2 0.533 0.377 0.486 -0.340 PATTERN FACTOR3 -0.273 -0.231 -0.164 -0.033
_TYPE_ X5 X6 X7 X8 X9
MEAN 0.000 0.000 0.000 0.000 0.000 STD 1.000 1.000 1.000 1.000 1.000 N 696.000 696.000 696.000 696.000 696.000 CORR 0.450 0.510 0.210 0.300 0.310 CORR 0.530 0.580 0.230 0.320 0.300 CORR 0.480 0.540 0.280 0.370 0.370 CORR 0.820 0.820 0.330 0.330 0.310 CORR 1.000 0.740 0.370 0.360 0.360 CORR 0.740 1.000 0.350 0.380 0.380 CORR 0.370 0.350 1.000 0.450 0.520 CORR 0.360 0.380 0.450 1.000 0.670 CORR 0.360 0.380 0.520 0.670 1.000 COMMUNAL 0.740 0.759 0.371 0.580 0.778 PRIORS 0.740 0.759 0.371 0.580 0.778 WEIGHT 3.840 4.144 1.591 2.382 4.503 EIGENVAL 0.066 0.033 0.003 -0.076 -0.114 PATTERN 0.836 0.862 0.421 0.478 0.483 PATTERN -0.200 -0.128 0.089 0.246 0.302 PATTERN 0.028 0.002 0.431 0.540 0.673
Nine Psychological Variables: Harman, page 244 12
Prerotation Method: Varimax Variable Weights for Rotation
X1 X2 X3 X4 X5
0.861664 0.621602 0.744243 0.315857 0.144071
X6 X7 X8 X9
0.058009 0.941861 0.989352 0.991570
Orthogonal Transformation Matrix
1 2 3 1 0.63865 0.52044 0.56680 2 0.54351 0.21633 -0.81105 3 -0.54472 0.82604 -0.14470
Rotated Factor Pattern
FACTOR1 FACTOR2 FACTOR3 X1 87 * 24 . WORD MEANING X3 80 * 33 . ODD WORDS X2 79 * 26 13 SENTENCE COMPOSITION X9 11 87 * . HATCHETS X8 14 75 * . BOOTS X7 . 59 * 10 GLOVES X4 41 37 79 * MIXED ARITHMETIC X5 41 41 63 * REMAINDERS X6 48 42 59 * MISSING NUMBERS
NOTE: Printed values are multiplied by 100 and rounded to the nearest integer. Values greater than 0.48823 have been flagged with an '*'. Values less than 0.1 have been printed as '.'.
Variance explained by each factor
FACTOR1 FACTOR2 FACTOR3 Weighted 12.911980 9.591025 11.661973 Unweighted 2.626085 2.399897 1.409966
Nine Psychological Variables: Harman, page 244 13
Prerotation Method: Varimax Final Communality Estimates and Variable Weights Total Communality: Weighted = 34.164978 Unweighted = 6.435948
X1 X2 X3 X4 X5 Communality 0.818623 0.710155 0.752404 0.927018 0.739611 Weight 5.513446 3.450112 4.038876 13.701961 3.840398 X6 X7 X8 X9 Communality 0.758708 0.371332 0.580150 0.777948 Weight 4.144287 1.590673 2.381799 4.503426
Nine Psychological Variables: Harman, page 244 14
Prerotation Method: Varimax
Plot of Factor Pattern for FACTOR1 and FACTOR2 FACTOR1 1 .9 A .8 B C .7 .6 .5 F .4 DE .3 .2 H F .1 G I A C -1 -.9-.8-.7-.6-.5-.4-.3-.2-.1 0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1.0T O -.1 R 2 -.2 -.3 -.4 -.5 -.6 -.7 -.8 -.9 -1 X1 =A X2 =B X3 =C X4 =D X5 =E X6 =F X7 =G X8 =H X9 =I
Nine Psychological Variables: Harman, page 244 15
Prerotation Method: Varimax
Plot of Factor Pattern for FACTOR1 and FACTOR3 FACTOR1 1 .9 A .C B .7 .6 .5 F .4 E D .3 .2 H F I .1 G A C -1 -.9-.8-.7-.6-.5-.4-.3-.2-.1 0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1.0T O -.1 R 3 -.2 -.3 -.4 -.5 -.6 -.7 -.8 -.9 -1 X1 =A X2 =B X3 =C X4 =D X5 =E X6 =F X7 =G X8 =H X9 =I
Nine Psychological Variables: Harman, page 244 16
Prerotation Method: Varimax
Plot of Factor Pattern for FACTOR2 and FACTOR3 FACTOR2 1 .9 I .8 H .7 .6 G .5 .4 FE C D .3 A B .2 F .1 A C -1 -.9-.8-.7-.6-.5-.4-.3-.2-.1 0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1.0T O -.1 R 3 -.2 -.3 -.4 -.5 -.6 -.7 -.8 -.9 -1 X1 =A X2 =B X3 =C X4 =D X5 =E X6 =F X7 =G X8 =H X9 =I
Nine Psychological Variables: Harman, page 244 17
Rotation Method: Promax Target Matrix for Procrustean Transformation
FACTOR1 FACTOR2 FACTOR3 X1 100 * . . WORD MEANING X3 88 * . . ODD WORDS X2 92 * . . SENTENCE COMPOSITION X9 . 100 * . HATCHETS X8 . 98 * . BOOTS X7 . 96 * . GLOVES X4 . . 100 * MIXED ARITHMETIC X5 12 12 72 * REMAINDERS X6 19 12 57 * MISSING NUMBERS
NOTE: Printed values are multiplied by 100 and rounded to the nearest integer. Values greater than 0.523957 have been flagged with an '*'. Values less than 0.1 have been printed as '.'.
Procrustean Transformation Matrix
1 2 3 1 1.21792 -0.40090 -0.07143 2 -0.18312 1.34044 0.01515 3 -0.46379 -0.36522 1.16213
Normalized Oblique Transformation Matrix
1 2 3 1 0.38864 0.18497 0.63676 2 0.92471 0.29041 -1.00297 3 -0.69234 1.08697 -0.11970
Inter-factor Correlations
FACTOR1 FACTOR2 FACTOR3 FACTOR1 100 * 44 51 FACTOR2 44 100 * 40 FACTOR3 51 40 100 *
NOTE: Printed values are multiplied by 100 and rounded to the nearest integer. Values greater than 0.684604 have been flagged by an '*'.
Nine Psychological Variables: Harman, page 244 18
Rotation Method: Promax Rotated Factor Pattern (Std Reg Coefs)
FACTOR1 FACTOR2 FACTOR3 X1 95 * . . WORD MEANING X3 83 * . . ODD WORDS X2 79 * . 11 SENTENCE COMPOSITION X9 . 91 * . HATCHETS X8 . 75 * . BOOTS X7 . 57 * 13 GLOVES X4 . . 92 * MIXED ARITHMETIC X5 12 13 73 * REMAINDERS X6 21 12 68 * MISSING NUMBERS
NOTE: Printed values are multiplied by 100 and rounded to the nearest integer. Values greater than 0.467648 have been flagged with an '*'. Values less than 0.1 have been printed as '.'.
Reference Axis Correlations
FACTOR1 FACTOR2 FACTOR3 FACTOR1 100 * -30 -41 FACTOR2 -30 100 * -22 FACTOR3 -41 -22 100 *
NOTE: Printed values are multiplied by 100 and rounded to the nearest integer. Values greater than 0.633513 have been flagged by an '*'.
Reference Structure (Semipartial Correlations)
FACTOR1 FACTOR2 FACTOR3 X1 78 * . . WORD MEANING X3 68 * . . ODD WORDS X2 65 * . . SENTENCE COMPOSITION X9 . 80 * . HATCHETS X8 . 65 * . BOOTS X7 . 50 * 11 GLOVES X4 . . 77 * MIXED ARITHMETIC X5 . 11 61 * REMAINDERS X6 18 11 57 * MISSING NUMBERS
NOTE: Printed values are multiplied by 100 and rounded to the nearest integer. Values greater than 0.394222 have been flagged with an '*'. Values less than 0.1 have been printed as '.'.
Nine Psychological Variables: Harman, page 244 19
Rotation Method: Promax Variance explained by each factor eliminating other factors
FACTOR1 FACTOR2 FACTOR3 Weighted 6.856838 4.418737 10.955672 Unweighted 1.534576 1.347941 1.313570
Factor Structure (Correlations)
FACTOR1 FACTOR2 FACTOR3 X1 90 * 37 41 WORD MEANING X3 86 * 45 44 ODD WORDS X2 84 * 38 51 SENTENCE COMPOSITION X9 36 88 * 28 HATCHETS X8 36 76 * 31 BOOTS X7 26 60 * 33 GLOVES X4 54 42 96 * MIXED ARITHMETIC X5 55 47 84 * REMAINDERS X6 62 * 49 84 * MISSING NUMBERS
NOTE: Printed values are multiplied by 100 and rounded to the nearest integer. Values greater than 0.596818 have been flagged with an '*'. Values less than 0.1 have been printed as '.'.
Variance explained by each factor ignoring other factors
FACTOR1 FACTOR2 FACTOR3 Weighted 17.679208 11.725007 21.604863 Unweighted 3.565486 2.822316 3.229391
Final Communality Estimates and Variable Weights Total Communality: Weighted = 34.164978 Unweighted = 6.435948
X1 X2 X3 X4 X5 Communality 0.818623 0.710155 0.752404 0.927018 0.739611 Weight 5.513446 3.450112 4.038876 13.701961 3.840398 X6 X7 X8 X9 Communality 0.758708 0.371332 0.580150 0.777948 Weight 4.144287 1.590673 2.381799 4.503426
Nine Psychological Variables: Harman, page 244 20
Rotation Method: Promax
Plot of Reference Structure for FACTOR1 and FACTOR2 Reference Axis Correlation = -0.2966 Angle = 107.2508 FACTOR1 1 .9 A8 .7 C B .6 .5 .4 .3 .2 F F .1 E A D H C -1 -.9-.8-.7-.6-.5-.4-.3-.2-.1 0 .1 .2 .3 .4 .5 .6 .7 I8 .9 1.0T G O -.1 R 2 -.2 -.3 -.4 -.5 -.6 -.7 -.8 -.9 -1 X1 =A X2 =B X3 =C X4 =D X5 =E X6 =F X7 =G X8 =H X9 =I
Nine Psychological Variables: Harman, page 244 21
Rotation Method: Promax
Plot of Reference Structure for FACTOR1 and FACTOR3 Reference Axis Correlation = -0.4103 Angle = 114.2238 FACTOR1 1 .9 A.8 C7 B .6 .5 .4 .3 .2 F F .1 E A H D C -1 -.9-.8-.7-.6-.5-.4-.3-.2-.1I 0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1.0T G O -.1 R 3 -.2 -.3 -.4 -.5 -.6 -.7 -.8 -.9 -1 X1 =A X2 =B X3 =C X4 =D X5 =E X6 =F X7 =G X8 =H X9 =I
Nine Psychological Variables: Harman, page 244 22
Rotation Method: Promax
Plot of Reference Structure for FACTOR2 and FACTOR3 Reference Axis Correlation = -0.2230 Angle = 102.8855 FACTOR2 1 .9 I.8 .7 H .6 .5 G .4 .3 .2 F C1 FE A D C -1 -.9-.8-.7-.6-.5-.4-.3-.2-.1A 0 B1 .2 .3 .4 .5 .6 .7 .8 .9 1.0T O -.1 R 3 -.2 -.3 -.4 -.5 -.6 -.7 -.8 -.9 -1 X1 =A X2 =B X3 =C X4 =D X5 =E X6 =F X7 =G X8 =H X9 =I