Applicants for a position in a firm were asked to score themselves, from 0 to 10, through a questionnaire on the following ten characteristics: Ambition Appearance Drive Experience Honesty Likeability Potential Salesmanship Self-confidence Suitability.
When reviewing the questionnaire, because many correlations between the variables are high, it was felt that some of the variables might be confusing, and/or some variables might be redundant. Therefore, a factor analysis was conducted to determine if any underlying factors could be extracted. Figure 3 presents selected SPSS output from a factor analysis with principal components extraction, using the varimax rotation procedure. Interpret the output.
1) Explain qualitatively and quantitatively how the fit of the factor analysis model should be examined.
Figure 3 .782 KMO and Bartlett's Test Kaiser-Meyer-Olkin Measure of Sampling Adequacy. Bartlett's Test of Approx. Chi-Square Sphericity df 377,094 45 .000 sig Communalities Initial Extraction Appearance 1.000 .432 Like ability 1.000 .841 Self-confidence 1.000 .889 Honesty 1.000 .851 Salesmanship 1.000 .888 Experience 1.000 .848 Drive 1.000 .810 Ambition 1.000 910 Potential 1.000 .840 Suitability 1.000 .864 Extraction Method: Principal Component Analysis Component 1 Total 5.336 1.656 Initial Eigenvalues % of Variance Cumulative % 53.362 53.362 16.562 69.924 11.811 81.735 2 3 1.181 4 .689 6.891 88.626 5 3.359 91.985 6 .336 .287 192 94.858 7 96.783 8 .132 2.873 1.925 1.319 1.169 .729 98.102 99.271 9 .117 10 .073 100.000 1010 0.5 0.0 -0.5 -10 Honesty 1.04 Likeability 0.54 Component 2 Opotential Appearance Selfconfidende Suitability O 0o Ambition O Experience 0.0- Drive Salesmanship -0.5 -1.04 .05 0.0 0.5 Component 1 Component 3 Rotated Component Matrix Component 2. 3 .454 .171 .170 .217 .914 - 109 .443 .875 .206 .879 .150 -036 .178 - 217 Appearance Like ability Self-confidence Honesty Salesmanship Experience Drive Ambition Potential Suitability .248 .897 .055 .801 918 .192 .363 .144 933 138 .703 458 368 .353 .123 .851 1 Component Score Coefficient Matrix Component 2 3 Appearance .040 .180 .023 Like ability - 184 .529 .108 Self-confidence 329 -087 -233 Honesty - 101 .525 - 152 Salesmanship 270 - 115 -018 Experience - 141 -026 .538 Drive .200 -.064 .069 Ambition .306 - 133 - 087 Potential .097 .132 .094 Suitability -.050 .005 .444 Reproduced Correlations Like ability Salesmanshi P confidence Drive Ambition Suitability Appearance .432 Honesty 433 Reproduced Correlation .502 .488 516 .511 .510 .361 Potential .585 800 .697 .502 383 312 889 311 Experience .166 177 - 057 - 221 488 Appearance Like ability Self-confidence Honesty Salesmanship Experience Drive .752 367 .851 865 312 752 337 823 237 .888 732 233 352 256 - 013 433 367 256 448 .516 .337 .823 237 .271 .837 .893 .790 .546 .166 - 057 - 221 848" 178 .360 .797 .177 383 271 837 233 .615 .511 510 585 Ambition .370 .8109 826 785 .732 865 697 311 256 370 178 360 893 826 910 772 .785 .772 840 469 Potential 600 448 790 618 Suitability .361 .352 .256 -.013 546 .797 .615 .469 .618 .864 Figure 3 .782 KMO and Bartlett's Test Kaiser-Meyer-Olkin Measure of Sampling Adequacy. Bartlett's Test of Approx. Chi-Square Sphericity df 377,094 45 .000 sig Communalities Initial Extraction Appearance 1.000 .432 Like ability 1.000 .841 Self-confidence 1.000 .889 Honesty 1.000 .851 Salesmanship 1.000 .888 Experience 1.000 .848 Drive 1.000 .810 Ambition 1.000 910 Potential 1.000 .840 Suitability 1.000 .864 Extraction Method: Principal Component Analysis Component 1 Total 5.336 1.656 Initial Eigenvalues % of Variance Cumulative % 53.362 53.362 16.562 69.924 11.811 81.735 2 3 1.181 4 .689 6.891 88.626 5 3.359 91.985 6 .336 .287 192 94.858 7 96.783 8 .132 2.873 1.925 1.319 1.169 .729 98.102 99.271 9 .117 10 .073 100.000 1010 0.5 0.0 -0.5 -10 Honesty 1.04 Likeability 0.54 Component 2 Opotential Appearance Selfconfidende Suitability O 0o Ambition O Experience 0.0- Drive Salesmanship -0.5 -1.04 .05 0.0 0.5 Component 1 Component 3 Rotated Component Matrix Component 2. 3 .454 .171 .170 .217 .914 - 109 .443 .875 .206 .879 .150 -036 .178 - 217 Appearance Like ability Self-confidence Honesty Salesmanship Experience Drive Ambition Potential Suitability .248 .897 .055 .801 918 .192 .363 .144 933 138 .703 458 368 .353 .123 .851 1 Component Score Coefficient Matrix Component 2 3 Appearance .040 .180 .023 Like ability - 184 .529 .108 Self-confidence 329 -087 -233 Honesty - 101 .525 - 152 Salesmanship 270 - 115 -018 Experience - 141 -026 .538 Drive .200 -.064 .069 Ambition .306 - 133 - 087 Potential .097 .132 .094 Suitability -.050 .005 .444 Reproduced Correlations Like ability Salesmanshi P confidence Drive Ambition Suitability Appearance .432 Honesty 433 Reproduced Correlation .502 .488 516 .511 .510 .361 Potential .585 800 .697 .502 383 312 889 311 Experience .166 177 - 057 - 221 488 Appearance Like ability Self-confidence Honesty Salesmanship Experience Drive .752 367 .851 865 312 752 337 823 237 .888 732 233 352 256 - 013 433 367 256 448 .516 .337 .823 237 .271 .837 .893 .790 .546 .166 - 057 - 221 848" 178 .360 .797 .177 383 271 837 233 .615 .511 510 585 Ambition .370 .8109 826 785 .732 865 697 311 256 370 178 360 893 826 910 772 .785 .772 840 469 Potential 600 448 790 618 Suitability .361 .352 .256 -.013 546 .797 .615 .469 .618 .864
