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The SAS System 15:42 Wednesday, December 1, 2013 3

Maximum Likelihood Factor Analysis Sales with Three Factors

The FACTOR Procedure Initial Factor Method: Maximum Likelihood

Prior Communality Estimates: SMC

mechanical_ abstract_ sales_ sales_ new_account_ creativity_ reasoning_ reasoning_ mathematics_ growth profitability sales test test test test

0.97138085 0.96886082 0.95372014 0.90585396 0.78673225 0.88499321 0.97734575

Preliminary Eigenvalues: Total = 149.810878 Average = 21.4015541

Eigenvalue Difference Proportion Cumulative

1 131.585558 122.031430 0.8783 0.8783 2 9.554128 2.992338 0.0638 0.9421 3 6.561790 3.967085 0.0438 0.9859 4 2.594704 1.809193 0.0173 1.0032 5 0.785512 1.321396 0.0052 1.0085 6 -0.535884 0.199046 -0.0036 1.0049 7 -0.734929 -0.0049 1.0000

3 factors will be retained by the NFACTOR criterion.

Iteration Criterion Ridge Change Communalities

1 1.6784538 0.0000 0.0941 0.96621 0.97313 0.92564 1.00000 0.71551 0.91955 0.96556 2 1.4857310 0.0000 0.0804 0.96027 0.96795 0.91614 1.00000 0.67208 1.00000 0.96573 3 1.4266303 0.0000 0.1226 0.96138 0.96635 0.91346 1.00000 0.54952 1.00000 0.96081 4 1.4254277 0.0000 0.0027 0.96096 0.96474 0.91222 1.00000 0.55177 1.00000 0.96349 5 1.4251497 0.0000 0.0029 0.96103 0.96383 0.91316 1.00000 0.54884 1.00000 0.96413 6 1.4250580 0.0000 0.0011 0.96090 0.96340 0.91340 1.00000 0.54769 1.00000 0.96474 7 1.4250259 0.0000 0.0007 0.96087 0.96310 0.91364 1.00000 0.54695 1.00000 0.96502

Convergence criterion satisfied.

Significance Tests Based on 50 Observations

Pr > Test DF Chi-Square ChiSq

H0: No common factors 21 489.7442 <.0001 HA: At least one common factor H0: 3 Factors are sufficient 3 61.0386 <.0001 HA: More factors are needed

Chi-Square without Bartlett's Correction 68.401246 Akaike's Information Criterion 62.401246 Schwarz's Bayesian Criterion 56.725785 Tucker and Lewis's Reliability Coefficient 0.133279



The FACTOR Procedure Initial Factor Method: Maximum Likelihood

Squared Canonical Correlations

Factor1 Factor2 Factor3

1.0000000 1.0000000 0.9741962

Eigenvalues of the Weighted Reduced Correlation Matrix: Total = 37.7539072 Average = 7.55078144

Eigenvalue Difference Proportion Cumulative

1 Infty Infty 2 Infty Infty 3 37.7539207 36.6144735 1.0000 1.0000 4 1.1394473 0.8901717 0.0302 1.0302 5 0.2492756 0.8850839 0.0066 1.0368 6 -0.6358083 0.1171198 -0.0168 1.0199 7 -0.7529281 -0.0199 1.0000

Factor Pattern


sales_growth 0.82329 0.10688 0.52117 sales_profitability 0.63849 0.20657 0.71604 new_account_sales 0.85344 0.24154 0.35644 creativity_test 0.59261 0.80549 0.00000 mechanical_reasoning_test 0.59313 0.29677 0.32657 abstract_reasoning_test 0.88347 -0.46849 0.00000 mathematics_test 0.65738 0.02849 0.72946

Variance Explained by Each Factor

Factor Weighted Unweighted

Factor1 49.9329313 3.72948277 Factor2 2.3414167 1.06962285 Factor3 37.7539207 1.55014078

Final Communality Estimates and Variable Weights Total Communality: Weighted = 90.028269 Unweighted = 6.349246

Variable Communality Weight

sales_growth 0.96084687 25.5542571 sales_profitability 0.96306135 27.0993647 new_account_sales 0.91374193 11.5789021 creativity_test 1.00000000 Infty mechanical_reasoning_test 0.54653161 2.2072558 abstract_reasoning_test 1.00000000 Infty mathematics_test 0.96506464 28.5884755



The FACTOR Procedure Rotation Method: Varimax

Orthogonal Transformation Matrix

1 2 3

1 0.36507 0.50218 0.78392 2 0.04722 0.83097 -0.55431 3 0.92978 -0.23938 -0.27965

Rotated Factor Pattern


sales_growth 0.79018 0.37750 0.44040 sales_profitability 0.90861 0.32089 0.18578 new_account_sales 0.65438 0.54397 0.43546 creativity_test 0.25438 0.96694 0.01807 mechanical_reasoning_test 0.53419 0.46630 0.20914 abstract_reasoning_test 0.30041 0.05436 0.95226 mathematics_test 0.91957 0.17918 0.29555

Variance Explained by Each Factor

Factor Weighted Unweighted

Factor1 68.0911448 3.16410040 Factor2 11.2560338 1.72883710 Factor3 10.6810901 1.45630890

Final Communality Estimates and Variable Weights Total Communality: Weighted = 90.028269 Unweighted = 6.349246

Variable Communality Weight

sales_growth 0.96084687 25.5542571 sales_profitability 0.96306135 27.0993647 new_account_sales 0.91374193 11.5789021 creativity_test 1.00000000 Infty mechanical_reasoning_test 0.54653161 2.2072558 abstract_reasoning_test 1.00000000 Infty

mathematics_test 0.96506464 28.5884755

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