Factor Analysis Using Principal Component Method 1 Number of factors equal to 3 Initial Factor Method: Principal Components Prior Communality Estimates: ONE Eigenvalues of the Correlation Matrix: Total = 10 Average = 1 1 2 3 4 5 Eigenvalue 3.7866 1.5173 1.1144 0.9134 0.7201 Difference 2.2693 0.4029 0.2010 0.1933 0.1251 Proportion 0.3787 0.1517 0.1114 0.0913 0.0720 Cumulative 0.3787 0.5304 0.6418 0.7332 0.8052 6 7 8 9 10 Eigenvalue 0.5950 0.5267 0.3837 0.2353 0.2075 Difference 0.0683 0.1430 0.1484 0.0278 Proportion 0.0595 0.0527 0.0384 0.0235 0.0207 Cumulative 0.8647 0.9173 0.9557 0.9793 1.0000 3 factors will be retained by the NFACTOR criterion. Factor Pattern FACTOR1 FACTOR2 FACTOR3 RUN100M 0.69052 0.21701 -0.52025 LONGJUMP 0.78854 0.18360 -0.19260 SHOTPUT 0.70187 -0.53462 0.04699 HIGHJUMP 0.67366 0.13401 0.13875 RUN400M 0.61965 0.55112 -0.08376 HURD110M 0.68689 0.04206 -0.16102 DISCUS 0.62121 -0.52112 0.10946 POLEVLT 0.53848 0.08698 0.41090 JAVELIN 0.43405 -0.43903 0.37191 RUN1500M 0.14660 0.59611 0.65812 Variance explained by each factor FACTOR1 FACTOR2 FACTOR3 3.786608 1.517302 1.114410 Final Communality Estimates: Total = 6.418320 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M 0.794566 0.692599 0.780653 0.491028 0.694714 HURD110M DISCUS POLEVLT JAVELIN RUN1500M 0.499520 0.669454 0.466364 0.519466 0.809957 Factor Analysis Using Principal Component Method 2 Number of factors equal to 3 Rotation Method: Varimax Orthogonal Transformation Matrix 1 2 3 1 0.77384 0.59156 0.22634 2 0.39407 -0.72944 0.55913 3 -0.49586 0.34348 0.79758 Rotated Factor Pattern FACTOR1 FACTOR2 FACTOR3 RUN100M 0.87784 0.07149 -0.13731 LONGJUMP 0.77806 0.26638 0.12752 SHOTPUT 0.30916 0.82131 -0.10258 HIGHJUMP 0.50531 0.34842 0.33807 RUN400M 0.73823 -0.06421 0.38159 HURD110M 0.62797 0.32035 0.05056 DISCUS 0.22108 0.78521 -0.06346 POLEVLT 0.24723 0.39623 0.49824 JAVELIN -0.02154 0.70476 0.14939 RUN1500M 0.02202 -0.12205 0.89139 Variance explained by each factor FACTOR1 FACTOR2 FACTOR3 2.777162 2.263892 1.377266 Final Communality Estimates: Total = 6.418320 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M 0.794566 0.692599 0.780653 0.491028 0.694714 HURD110M DISCUS POLEVLT JAVELIN RUN1500M 0.499520 0.669454 0.466364 0.519466 0.809957 Factor Analysis Using Principal Component Method 3 Number of factors set equal to 4 Initial Factor Method: Principal Components Prior Communality Estimates: ONE Eigenvalues of the Correlation Matrix: Total = 10 Average = 1 1 2 3 4 5 Eigenvalue 3.7866 1.5173 1.1144 0.9134 0.7201 Difference 2.2693 0.4029 0.2010 0.1933 0.1251 Proportion 0.3787 0.1517 0.1114 0.0913 0.0720 Cumulative 0.3787 0.5304 0.6418 0.7332 0.8052 6 7 8 9 10 Eigenvalue 0.5950 0.5267 0.3837 0.2353 0.2075 Difference 0.0683 0.1430 0.1484 0.0278 Proportion 0.0595 0.0527 0.0384 0.0235 0.0207 Cumulative 0.8647 0.9173 0.9557 0.9793 1.0000 4 factors will be retained by the NFACTOR criterion. Factor Pattern FACTOR1 FACTOR2 FACTOR3 FACTOR4 RUN100M 0.69052 0.21701 -0.52025 0.20603 LONGJUMP 0.78854 0.18360 -0.19260 -0.09249 SHOTPUT 0.70187 -0.53462 0.04699 0.17534 HIGHJUMP 0.67366 0.13401 0.13875 -0.39590 RUN400M 0.61965 0.55112 -0.08376 0.41873 HURD110M 0.68689 0.04206 -0.16102 -0.34462 DISCUS 0.62121 -0.52112 0.10946 0.23437 POLEVLT 0.53848 0.08698 0.41090 -0.43955 JAVELIN 0.43405 -0.43903 0.37191 0.23451 RUN1500M 0.14660 0.59611 0.65812 0.27866 Variance explained by each factor FACTOR1 FACTOR2 FACTOR3 FACTOR4 3.786608 1.517302 1.114410 0.913368 Final Communality Estimates: Total = 7.331688 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M 0.837016 0.701153 0.811397 0.647763 0.870051 HURD110M DISCUS POLEVLT JAVELIN RUN1500M 0.618284 0.724384 0.659572 0.574461 0.887609 Factor Analysis Using Principal Component Method 4 Number of factors set equal to 4 Rotation Method: Varimax Orthogonal Transformation Matrix 1 2 3 4 1 0.60533 0.52576 0.59242 0.07866 2 0.40505 -0.70124 0.13256 0.57151 3 -0.58222 0.29494 0.23763 0.71941 4 0.36128 0.38060 -0.75828 0.38682 Rotated Factor Pattern FACTOR1 FACTOR2 FACTOR3 FACTOR4 RUN100M 0.88323 0.13584 0.15798 -0.11623 LONGJUMP 0.63042 0.19382 0.51585 -0.00737 SHOTPUT 0.24431 0.82450 0.22314 -0.14870 HIGHJUMP 0.23826 0.15046 0.75003 0.07626 RUN400M 0.79837 0.07399 0.10273 0.46543 HURD110M 0.40208 0.15299 0.63556 -0.17107 DISCUS 0.18590 0.81352 0.14723 -0.07955 POLEVLT -0.03684 0.17602 0.76149 0.21764 JAVELIN -0.04689 0.73502 0.10950 0.14150 RUN1500M 0.04770 -0.04078 0.11096 0.93347 Variance explained by each factor FACTOR1 FACTOR2 FACTOR3 FACTOR4 2.133439 2.022061 1.943731 1.232457 Final Communality Estimates: Total = 7.331688 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M 0.837016 0.701153 0.811397 0.647763 0.870051 HURD110M DISCUS POLEVLT JAVELIN RUN1500M 0.618284 0.724384 0.659572 0.574461 0.887609 Factor Analysis Using Maximum Likelihood Method 5 Number of factors set equal to 3 Initial Factor Method: Maximum Likelihood Prior Communality Estimates: SMC RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M 0.609632 0.530458 0.631802 0.391935 0.604266 HURD110M DISCUS POLEVLT JAVELIN RUN1500M 0.369767 0.544993 0.239225 0.226434 0.370357 Preliminary Eigenvalues: Total = 9.55871166 Average = 0.95587117 1 2 3 4 5 Eigenvalue 6.9745 2.3276 0.9676 0.6663 0.0636 Difference 4.6468 1.3600 0.3013 0.6026 0.1618 Proportion 0.7296 0.2435 0.1012 0.0697 0.0067 Cumulative 0.7296 0.9732 1.0744 1.1441 1.1507 6 7 8 9 10 Eigenvalue -0.0981 -0.1320 -0.2253 -0.4478 -0.5377 Difference 0.0339 0.0933 0.2225 0.0899 Proportion -0.0103 -0.0138 -0.0236 -0.0468 -0.0563 Cumulative 1.1405 1.1267 1.1031 1.0563 1.0000 3 factors will be retained by the NFACTOR criterion. Iter Criterion Ridge Change Communalities 1 0.41219 0.000 0.29097 0.90060 0.55820 0.84317 0.35747 0.57744 0.34964 0.55853 0.23768 0.21955 0.56626 2 0.38371 0.000 0.16260 1.00000 0.52680 0.84332 0.36374 0.64668 0.31949 0.59340 0.23547 0.22836 0.40366 3 0.38202 0.000 0.05348 1.00000 0.53172 0.85923 0.36185 0.62559 0.32218 0.59737 0.23807 0.23125 0.45714 4 0.38167 0.000 0.02319 1.00000 0.52827 0.85790 0.36370 0.64364 0.31697 0.60074 0.23693 0.23195 0.43395 5 0.38152 0.000 0.01970 1.00000 0.52816 0.85865 0.35955 0.63541 0.31782 0.60020 0.23508 0.23198 0.45365 6 0.38144 0.000 0.00805 1.00000 0.52647 0.85762 0.35971 0.64346 0.31569 0.60080 0.23434 0.23205 0.44675 7 0.38139 0.000 0.00947 1.00000 0.52592 0.85724 0.35743 0.64118 0.31558 0.60083 0.23306 0.23214 0.45622 8 0.38135 0.000 0.00407 1.00000 0.52476 0.85659 0.35681 0.64525 0.31434 0.60105 0.23224 0.23217 0.45509 9 0.38133 0.000 0.00527 1.00000 0.52408 0.85613 0.35529 0.64510 0.31389 0.60117 0.23123 0.23225 0.46036 10 0.38130 0.000 0.00235 1.00000 0.52321 0.85565 0.35448 0.64746 0.31303 0.60131 0.23045 0.23228 0.46120 Factor Analysis Using Maximum Likelihood Method 6 Number of factors set equal to 3 Initial Factor Method: Maximum Likelihood 11 0.38128 0.000 0.00332 1.00000 0.52257 0.85524 0.35337 0.64801 0.31254 0.60142 0.22964 0.23234 0.46453 12 0.38127 0.000 0.00152 1.00000 0.52189 0.85487 0.35261 0.64953 0.31191 0.60152 0.22898 0.23237 0.46588 13 0.38126 0.000 0.00227 1.00000 0.52135 0.85454 0.35177 0.65022 0.31146 0.60161 0.22834 0.23241 0.46815 14 0.38125 0.000 0.00132 1.00000 0.52082 0.85426 0.35113 0.65126 0.31099 0.60169 0.22780 0.23243 0.46947 15 0.38124 0.000 0.00161 1.00000 0.52039 0.85401 0.35050 0.65189 0.31062 0.60176 0.22731 0.23246 0.47108 16 0.38123 0.000 0.00111 1.00000 0.51999 0.85379 0.34999 0.65263 0.31027 0.60182 0.22689 0.23248 0.47219 17 0.38123 0.000 0.00116 1.00000 0.51966 0.85360 0.34952 0.65315 0.30999 0.60187 0.22651 0.23250 0.47335 18 0.38123 0.000 0.00087 1.00000 0.51936 0.85344 0.34914 0.65368 0.30973 0.60191 0.22620 0.23252 0.47422 Convergence criterion satisfied. Significance tests based on 160 observations: Test of H0: No common factors. vs HA: At least one common factor. Chi-square = 572.878 df = 45 Prob>chi**2 = 0.0001 Test of H0: 3 Factors are sufficient. vs HA: More factors are needed. Chi-square = 58.264 df = 18 Prob>chi**2 = 0.0001 Chi-square without Bartlett's correction = 60.615205306 Akaike's Information Criterion = 24.615205306 Schwarz's Bayesian Criterion = -30.73792337 Tucker and Lewis's Reliability Coefficient = 0.809310586 Squared Canonical Correlations FACTOR1 FACTOR2 FACTOR3 1.000000 0.876953 0.694120 Factor Analysis Using Maximum Likelihood Method 7 Number of factors set equal to 3 Initial Factor Method: Maximum Likelihood Eigenvalues of the Weighted Reduced Correlation Matrix: Total = 9.39625094 Average = 1.04402788 1 2 3 4 5 Eigenvalue . 7.1270 2.2693 0.7744 0.0873 Difference . 4.8577 1.4948 0.6871 0.0513 Proportion . 0.7585 0.2415 0.0824 0.0093 Cumulative . 0.7585 1.0000 1.0824 1.0917 6 7 8 9 10 Eigenvalue 0.0360 -0.0150 -0.2298 -0.2697 -0.3832 Difference 0.0510 0.2148 0.0400 0.1135 Proportion 0.0038 -0.0016 -0.0245 -0.0287 -0.0408 Cumulative 1.0955 1.0939 1.0695 1.0408 1.0000 Factor Pattern FACTOR1 FACTOR2 FACTOR3 RUN100M 1.00000 0.00000 0.00000 LONGJUMP 0.59000 0.29090 0.29406 SHOTPUT 0.35000 0.85025 -0.08944 HIGHJUMP 0.34000 0.34846 0.33448 RUN400M 0.63000 0.00490 0.50694 HURD110M 0.40000 0.31413 0.22555 DISCUS 0.28000 0.72181 -0.04974 POLEVLT 0.20000 0.27356 0.33342 JAVELIN 0.11000 0.46616 0.05576 RUN1500M -0.07000 -0.00730 0.68529 Variance explained by each factor FACTOR1 FACTOR2 FACTOR3 Weighted 3.389241 7.126992 2.269261 Unweighted 2.278500 1.840869 1.100586 Final Communality Estimates and Variable Weights Total Communality: Weighted = 12.785494 Unweighted = 5.219955 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M Communality 1.000000 0.519195 0.853432 0.348898 0.653913 Weight . 2.080580 6.823117 1.536423 2.887472 HURD110M DISCUS POLEVLT JAVELIN RUN1500M Communality 0.309550 0.601882 0.226000 0.232509 0.474576 Weight 1.448707 2.511984 1.292317 1.302957 1.901933 Factor Analysis Using Maximum Likelihood Method 8 Number of factors set equal to 3 Initial Factor Method: Maximum Likelihood Residual Correlations With Uniqueness on the Diagonal RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M RUN100M 0.00000 0.00000 0.00000 0.00000 0.00000 LONGJUMP 0.00000 0.48081 -0.00753 0.10968 -0.03220 SHOTPUT 0.00000 -0.00753 0.14657 -0.00536 0.01068 HIGHJUMP 0.00000 0.10968 -0.00536 0.65110 -0.09547 RUN400M 0.00000 -0.03220 0.01068 -0.09547 0.34609 HURD110M 0.00000 0.12629 -0.02691 0.13910 -0.02788 DISCUS 0.00000 -0.05055 0.01383 -0.06008 0.01528 POLEVLT 0.00000 0.06438 -0.03277 0.11516 -0.06636 JAVELIN 0.00000 -0.00690 0.01014 -0.04848 0.03015 RUN1500M 0.00000 -0.06810 0.01200 -0.02287 0.08673 HURD110M DISCUS POLEVLT JAVELIN RUN1500M RUN100M 0.00000 0.00000 0.00000 0.00000 0.00000 LONGJUMP 0.12629 -0.05055 0.06438 -0.00690 -0.06810 SHOTPUT -0.02691 0.01383 -0.03277 0.01014 0.01200 HIGHJUMP 0.13910 -0.06008 0.11516 -0.04848 -0.02287 RUN400M -0.02788 0.01528 -0.06636 0.03015 0.08673 HURD110M 0.69045 -0.00752 0.08887 -0.02301 -0.12428 DISCUS -0.00752 0.39812 0.00313 -0.02450 0.03895 POLEVLT 0.08887 0.00313 0.77400 0.07189 -0.04249 JAVELIN -0.02301 -0.02450 0.07189 0.76749 -0.02711 RUN1500M -0.12428 0.03895 -0.04249 -0.02711 0.52542 Root Mean Square Off-diagonal Residuals: Over-all = 0.05550838 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M 0.000000 0.067046 0.016451 0.081830 0.051760 HURD110M DISCUS POLEVLT JAVELIN RUN1500M 0.082143 0.031223 0.064776 0.034063 0.059935 Partial Correlations Controlling Factors RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M RUN100M 0.00000 0.00000 0.00000 0.00000 0.00000 LONGJUMP 0.00000 1.00000 -0.02838 0.19602 -0.07893 SHOTPUT 0.00000 -0.02838 1.00000 -0.01735 0.04741 HIGHJUMP 0.00000 0.19602 -0.01735 1.00000 -0.20111 RUN400M 0.00000 -0.07893 0.04741 -0.20111 1.00000 HURD110M 0.00000 0.21920 -0.08460 0.20746 -0.05704 DISCUS 0.00000 -0.11553 0.05725 -0.11801 0.04116 POLEVLT 0.00000 0.10553 -0.09729 0.16222 -0.12822 JAVELIN 0.00000 -0.01136 0.03022 -0.06859 0.05850 RUN1500M 0.00000 -0.13548 0.04325 -0.03910 0.20340 Factor Analysis Using Maximum Likelihood Method 9 Number of factors set equal to 3 Initial Factor Method: Maximum Likelihood Partial Correlations Controlling Factors HURD110M DISCUS POLEVLT JAVELIN RUN1500M RUN100M 0.00000 0.00000 0.00000 0.00000 0.00000 LONGJUMP 0.21920 -0.11553 0.10553 -0.01136 -0.13548 SHOTPUT -0.08460 0.05725 -0.09729 0.03022 0.04325 HIGHJUMP 0.20746 -0.11801 0.16222 -0.06859 -0.03910 RUN400M -0.05704 0.04116 -0.12822 0.05850 0.20340 HURD110M 1.00000 -0.01434 0.12156 -0.03161 -0.20633 DISCUS -0.01434 1.00000 0.00563 -0.04433 0.08517 POLEVLT 0.12156 0.00563 1.00000 0.09327 -0.06663 JAVELIN -0.03161 -0.04433 0.09327 1.00000 -0.04269 RUN1500M -0.20633 0.08517 -0.06663 -0.04269 1.00000 Root Mean Square Off-diagonal Partials: Over-all = 0.09895190 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M 0.000000 0.123142 0.053789 0.136904 0.113090 HURD110M DISCUS POLEVLT JAVELIN RUN1500M 0.133355 0.068071 0.100723 0.050172 0.115091 Factor Analysis Using Maximum Likelihood Method 10 Number of factors set equal to 3 Rotation Method: Varimax Orthogonal Transformation Matrix 1 2 3 1 0.97769 0.14626 -0.15077 2 -0.13340 0.98676 0.09222 3 0.16227 -0.07005 0.98426 Rotated Factor Pattern FACTOR1 FACTOR2 FACTOR3 RUN100M 0.97769 0.14626 -0.15077 LONGJUMP 0.58575 0.35274 0.22731 SHOTPUT 0.21425 0.89646 -0.06239 HIGHJUMP 0.34020 0.37014 0.31009 RUN400M 0.69755 0.06147 0.40443 HURD110M 0.38577 0.35267 0.19066 DISCUS 0.16939 0.75669 -0.02460 POLEVLT 0.21315 0.27583 0.32324 JAVELIN 0.05441 0.47217 0.08128 RUN1500M 0.04373 -0.06545 0.68438 Variance explained by each factor FACTOR1 FACTOR2 FACTOR3 Weighted 2.963737 7.979040 1.842717 Unweighted 2.175011 2.090507 0.954437 Final Communality Estimates and Variable Weights Total Communality: Weighted = 12.785494 Unweighted = 5.219955 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M Communality 1.000000 0.519195 0.853432 0.348898 0.653913 Weight . 2.080580 6.823117 1.536423 2.887472 HURD110M DISCUS POLEVLT JAVELIN RUN1500M Communality 0.309550 0.601882 0.226000 0.232509 0.474576 Weight 1.448707 2.511984 1.292317 1.302957 1.901933 Factor Analysis Using Maximum Likelihood Method 11 Number of factors set equal to 4 Initial Factor Method: Maximum Likelihood Prior Communality Estimates: SMC RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M 0.609632 0.530458 0.631802 0.391935 0.604266 HURD110M DISCUS POLEVLT JAVELIN RUN1500M 0.369767 0.544993 0.239225 0.226434 0.370357 Preliminary Eigenvalues: Total = 9.55871166 Average = 0.95587117 1 2 3 4 5 Eigenvalue 6.9745 2.3276 0.9676 0.6663 0.0636 Difference 4.6468 1.3600 0.3013 0.6026 0.1618 Proportion 0.7296 0.2435 0.1012 0.0697 0.0067 Cumulative 0.7296 0.9732 1.0744 1.1441 1.1507 6 7 8 9 10 Eigenvalue -0.0981 -0.1320 -0.2253 -0.4478 -0.5377 Difference 0.0339 0.0933 0.2225 0.0899 Proportion -0.0103 -0.0138 -0.0236 -0.0468 -0.0563 Cumulative 1.1405 1.1267 1.1031 1.0563 1.0000 4 factors will be retained by the NFACTOR criterion. Iter Criterion Ridge Change Communalities 1 0.08025 0.000 0.35007 0.80553 0.62514 0.89710 0.52881 0.77193 0.43841 0.57131 0.28995 0.21341 0.72043 2 0.07364 0.000 0.26509 0.81014 0.62497 0.95152 0.52737 0.66303 0.44095 0.55924 0.28809 0.21025 0.98552 3 0.07323 0.000 0.01448 0.81081 0.62496 0.95240 0.52686 0.66026 0.44104 0.55876 0.28818 0.21010 1.00000 4 0.06966 0.000 0.03410 0.82596 0.62308 0.98651 0.50816 0.68161 0.45715 0.54169 0.29708 0.20506 1.00000 5 0.06946 0.000 0.01349 0.83140 0.62236 1.00000 0.50614 0.67775 0.45855 0.53517 0.29855 0.20325 1.00000 6 0.06942 0.000 0.00590 0.83730 0.62152 1.00000 0.50262 0.67377 0.46063 0.53561 0.30087 0.20382 1.00000 7 0.06941 0.000 0.00282 0.84012 0.62137 1.00000 0.50127 0.67193 0.46124 0.53564 0.30113 0.20421 1.00000 8 0.06941 0.000 0.00116 0.84129 0.62132 1.00000 0.50065 0.67117 0.46153 0.53565 0.30123 0.20438 1.00000 9 0.06941 0.000 0.00050 0.84179 0.62130 1.00000 0.50040 0.67084 0.46165 0.53565 0.30126 0.20445 1.00000 Convergence criterion satisfied. Factor Analysis Using Maximum Likelihood Method 12 Number of factors set equal to 4 Initial Factor Method: Maximum Likelihood Significance tests based on 160 observations: Test of H0: No common factors. vs HA: At least one common factor. Chi-square = 572.878 df = 45 Prob>chi**2 = 0.0001 Test of H0: 4 Factors are sufficient. vs HA: More factors are needed. Chi-square = 10.561 df = 11 Prob>chi**2 = 0.4807 Chi-square without Bartlett's correction = 11.03541056 Akaike's Information Criterion = -10.96458944 Schwarz's Bayesian Criterion = -44.79150141 Tucker and Lewis's Reliability Coefficient = 1.0034010254 Squared Canonical Correlations FACTOR1 FACTOR2 FACTOR3 FACTOR4 1.000000 1.000000 0.879502 0.573987 Eigenvalues of the Weighted Reduced Correlation Matrix: Total = 8.64620764 Average = 1.08077596 1 2 3 4 5 Eigenvalue . . 7.2989 1.3473 0.2463 Difference . . 5.9515 1.1011 0.1651 Proportion . . 0.8442 0.1558 0.0285 Cumulative . . 0.8442 1.0000 1.0285 6 7 8 9 10 Eigenvalue 0.0812 0.0693 -0.0362 -0.1704 -0.1902 Difference 0.0119 0.1055 0.1343 0.0198 Proportion 0.0094 0.0080 -0.0042 -0.0197 -0.0220 Cumulative 1.0379 1.0459 1.0417 1.0220 1.0000 Factor Pattern FACTOR1 FACTOR2 FACTOR3 FACTOR4 RUN100M -0.02737 0.35146 0.83007 -0.16883 LONGJUMP 0.14156 0.41441 0.59518 0.27437 SHOTPUT 0.04207 0.99911 -0.00000 0.00000 HIGHJUMP 0.22688 0.37078 0.33643 0.44521 RUN400M 0.41414 0.17273 0.67122 -0.13770 HURD110M 0.04401 0.35847 0.42534 0.38772 DISCUS 0.06920 0.72773 0.03005 0.01910 POLEVLT 0.19974 0.23180 0.22911 0.39389 JAVELIN 0.05379 0.43812 -0.00945 0.09767 RUN1500M 0.99255 -0.12186 0.00000 -0.00000 Factor Analysis Using Maximum Likelihood Method 13 Number of factors set equal to 4 Initial Factor Method: Maximum Likelihood Variance explained by each factor FACTOR1 FACTOR2 FACTOR3 FACTOR4 Weighted 0.756376 3.297446 7.298865 1.347344 Unweighted 1.280202 2.379440 1.841370 0.636336 Final Communality Estimates and Variable Weights Total Communality: Weighted = 12.700031 Unweighted = 6.137347 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M Communality 0.841790 0.621297 1.000000 0.500355 0.670837 Weight 6.320538 2.640596 . 2.001595 3.038077 HURD110M DISCUS POLEVLT JAVELIN RUN1500M Communality 0.461673 0.535652 0.301267 0.204476 1.000000 Weight 1.857539 2.153551 1.431147 1.256987 . Residual Correlations With Uniqueness on the Diagonal RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M RUN100M 0.15821 0.00050 0.00000 0.01180 0.00023 LONGJUMP 0.00050 0.37870 0.00000 0.00184 -0.00192 SHOTPUT 0.00000 0.00000 0.00000 0.00000 0.00000 HIGHJUMP 0.01180 0.00184 0.00000 0.49964 -0.03251 RUN400M 0.00023 -0.00192 0.00000 -0.03251 0.32916 HURD110M -0.01238 0.00568 0.00000 0.00139 0.02775 DISCUS 0.00440 -0.02451 0.00000 -0.03415 -0.00190 POLEVLT 0.00032 -0.00877 0.00000 0.00629 0.00770 JAVELIN -0.01818 -0.00035 0.00000 -0.04496 0.05184 RUN1500M 0.00000 0.00000 0.00000 0.00000 0.00000 HURD110M DISCUS POLEVLT JAVELIN RUN1500M RUN100M -0.01238 0.00440 0.00032 -0.01818 0.00000 LONGJUMP 0.00568 -0.02451 -0.00877 -0.00035 0.00000 SHOTPUT 0.00000 0.00000 0.00000 0.00000 0.00000 HIGHJUMP 0.00139 -0.03415 0.00629 -0.04496 0.00000 RUN400M 0.02775 -0.00190 0.00770 0.05184 0.00000 HURD110M 0.53833 0.03590 -0.01205 -0.01327 0.00000 DISCUS 0.03590 0.46435 0.04308 0.01586 0.00000 POLEVLT -0.01205 0.04308 0.69873 0.09139 0.00000 JAVELIN -0.01327 0.01586 0.09139 0.79552 0.00000 RUN1500M 0.00000 0.00000 0.00000 0.00000 0.00000 Root Mean Square Off-diagonal Residuals: Over-all = 0.02172310 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M 0.008452 0.008927 0.000000 0.022183 0.022561 HURD110M DISCUS POLEVLT JAVELIN RUN1500M 0.016891 0.024003 0.034204 0.039184 0.000000 Factor Analysis Using Maximum Likelihood Method 14 Number of factors set equal to 4 Initial Factor Method: Maximum Likelihood Partial Correlations Controlling Factors RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M RUN100M 1.00000 0.00206 0.00000 0.04197 0.00099 LONGJUMP 0.00206 1.00000 0.00000 0.00422 -0.00544 SHOTPUT 0.00000 0.00000 0.00000 0.00000 0.00000 HIGHJUMP 0.04197 0.00422 0.00000 1.00000 -0.08017 RUN400M 0.00099 -0.00544 0.00000 -0.08017 1.00000 HURD110M -0.04243 0.01259 0.00000 0.00267 0.06592 DISCUS 0.01624 -0.05844 0.00000 -0.07089 -0.00487 POLEVLT 0.00096 -0.01705 0.00000 0.01065 0.01605 JAVELIN -0.05124 -0.00064 0.00000 -0.07131 0.10130 RUN1500M 0.00000 0.00000 0.00000 0.00000 0.00000 HURD110M DISCUS POLEVLT JAVELIN RUN1500M RUN100M -0.04243 0.01624 0.00096 -0.05124 0.00000 LONGJUMP 0.01259 -0.05844 -0.01705 -0.00064 0.00000 SHOTPUT 0.00000 0.00000 0.00000 0.00000 0.00000 HIGHJUMP 0.00267 -0.07089 0.01065 -0.07131 0.00000 RUN400M 0.06592 -0.00487 0.01605 0.10130 0.00000 HURD110M 1.00000 0.07180 -0.01965 -0.02028 0.00000 DISCUS 0.07180 1.00000 0.07563 0.02609 0.00000 POLEVLT -0.01965 0.07563 1.00000 0.12258 0.00000 JAVELIN -0.02028 0.02609 0.12258 1.00000 0.00000 RUN1500M 0.00000 0.00000 0.00000 0.00000 0.00000 Root Mean Square Off-diagonal Partials: Over-all = 0.03924180 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M 0.026787 0.020860 0.000000 0.045263 0.048702 HURD110M DISCUS POLEVLT JAVELIN RUN1500M 0.036915 0.047473 0.049209 0.061546 0.000000 Factor Analysis Using Maximum Likelihood Method 15 Number of factors set equal to 4 Rotation Method: Varimax Orthogonal Transformation Matrix 1 2 3 4 1 0.06291 0.07454 0.13798 0.98562 2 0.96414 0.15077 0.19411 -0.10012 3 -0.22927 0.88147 0.39852 -0.10782 4 -0.11794 -0.44127 0.88570 -0.08309 Rotated Factor Pattern FACTOR1 FACTOR2 FACTOR3 FACTOR4 RUN100M 0.16674 0.85713 0.24571 -0.13763 LONGJUMP 0.23964 0.47660 0.58017 0.01106 SHOTPUT 0.96593 0.15377 0.19974 -0.05856 HIGHJUMP 0.24212 0.17291 0.63168 0.11323 RUN400M 0.05494 0.70933 0.23620 0.32996 HURD110M 0.20514 0.26116 0.58856 -0.07058 DISCUS 0.69685 0.13294 0.17970 -0.00948 POLEVLT 0.13707 0.07798 0.51273 0.11623 JAVELIN 0.41645 0.01864 0.17521 0.00206 RUN1500M -0.05505 0.05561 0.11329 0.99048 Variance explained by each factor FACTOR1 FACTOR2 FACTOR3 FACTOR4 Weighted 1.822682 7.005679 3.366399 0.505271 Unweighted 1.802822 1.613915 1.576793 1.143817 Final Communality Estimates and Variable Weights Total Communality: Weighted = 12.700031 Unweighted = 6.137347 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M Communality 0.841790 0.621297 1.000000 0.500355 0.670837 Weight 6.320538 2.640596 . 2.001595 3.038077 HURD110M DISCUS POLEVLT JAVELIN RUN1500M Communality 0.461673 0.535652 0.301267 0.204476 1.000000 Weight 1.857539 2.153551 1.431147 1.256987 . Factor Analysis Using Maximum Likelihood Method 16 Number of factors set equal to 3, run1500m omitted Initial Factor Method: Maximum Likelihood Prior Communality Estimates: SMC RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M 0.526625 0.529910 0.628313 0.366728 0.436049 HURD110M DISCUS POLEVLT JAVELIN 0.357852 0.543263 0.231338 0.224884 Preliminary Eigenvalues: Total = 7.62029489 Average = 0.84669943 1 2 3 4 5 Eigenvalue 6.3752 1.8522 0.5636 0.1069 -0.0936 Difference 4.5229 1.2886 0.4567 0.2005 0.0472 Proportion 0.8366 0.2431 0.0740 0.0140 -0.0123 Cumulative 0.8366 1.0797 1.1536 1.1677 1.1554 6 7 8 9 Eigenvalue -0.1408 -0.2231 -0.3582 -0.4619 Difference 0.0823 0.1352 0.1036 Proportion -0.0185 -0.0293 -0.0470 -0.0606 Cumulative 1.1369 1.1076 1.0606 1.0000 3 factors will be retained by the NFACTOR criterion. Iter Criterion Ridge Change Communalities 1 0.06079 0.000 0.30074 0.82736 0.62888 0.92033 0.51055 0.46203 0.43181 0.54945 0.28349 0.20887 2 0.05243 0.000 0.07845 0.86403 0.62520 0.99877 0.48476 0.48528 0.43948 0.53142 0.30323 0.20734 3 0.05239 0.000 0.00123 0.86422 0.62514 1.00000 0.48460 0.48527 0.43951 0.53094 0.30339 0.20724 4 0.05228 0.000 0.00737 0.87160 0.62308 1.00000 0.47934 0.48523 0.44046 0.53485 0.30873 0.21007 5 0.05228 0.000 0.00129 0.87289 0.62282 1.00000 0.47890 0.48491 0.44026 0.53490 0.30889 0.21050 6 0.05228 0.000 0.00013 0.87303 0.62280 1.00000 0.47883 0.48488 0.44025 0.53490 0.30892 0.21054 Convergence criterion satisfied. Factor Analysis Using Maximum Likelihood Method 17 Number of factors set equal to 3, run1500m omitted Initial Factor Method: Maximum Likelihood Significance tests based on 160 observations: Test of H0: No common factors. vs HA: At least one common factor. Chi-square = 502.331 df = 36 Prob>chi**2 = 0.0001 Test of H0: 3 Factors are sufficient. vs HA: More factors are needed. Chi-square = 8.007 df = 12 Prob>chi**2 = 0.7846 Chi-square without Bartlett's correction = 8.3117442575 Akaike's Information Criterion = -15.68825574 Schwarz's Bayesian Criterion = -52.59034153 Tucker and Lewis's Reliability Coefficient = 1.0256890161 Squared Canonical Correlations FACTOR1 FACTOR2 FACTOR3 1.000000 0.889474 0.600628 Eigenvalues of the Weighted Reduced Correlation Matrix: Total = 9.55159864 Average = 1.19394983 1 2 3 4 5 Eigenvalue . 8.0477 1.5039 0.2246 0.0805 Difference . 6.5437 1.2794 0.1440 0.0369 Proportion . 0.8425 0.1575 0.0235 0.0084 Cumulative . 0.8425 1.0000 1.0235 1.0319 6 7 8 9 Eigenvalue 0.0436 -0.0653 -0.1048 -0.1787 Difference 0.1089 0.0395 0.0739 Proportion 0.0046 -0.0068 -0.0110 -0.0187 Cumulative 1.0365 1.0297 1.0187 1.0000 Factor Pattern FACTOR1 FACTOR2 FACTOR3 RUN100M 0.35000 0.84602 -0.18648 LONGJUMP 0.42000 0.59333 0.30717 SHOTPUT 1.00000 0.00000 -0.00000 HIGHJUMP 0.38000 0.34428 0.46465 RUN400M 0.19000 0.66961 0.02006 HURD110M 0.36000 0.40819 0.37952 DISCUS 0.73000 0.03328 0.02990 POLEVLT 0.24000 0.23390 0.44341 JAVELIN 0.44000 -0.01604 0.12920 Factor Analysis Using Maximum Likelihood Method 18 Number of factors set equal to 3, run1500m omitted Initial Factor Method: Maximum Likelihood Variance explained by each factor FACTOR1 FACTOR2 FACTOR3 Weighted 3.485455 8.047665 1.503934 Unweighted 2.393100 1.857393 0.703656 Final Communality Estimates and Variable Weights Total Communality: Weighted = 13.037054 Unweighted = 4.954149 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M Communality 0.873026 0.622798 1.000000 0.478826 0.484882 Weight 7.875598 2.651108 . 1.918758 1.941299 HURD110M DISCUS POLEVLT JAVELIN Communality 0.440249 0.534901 0.308917 0.210550 Weight 1.786513 2.150080 1.447002 1.266695 Residual Correlations With Uniqueness on the Diagonal RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M RUN100M 0.12697 -0.00169 0.00000 0.00238 0.00074 LONGJUMP -0.00169 0.37720 0.00000 0.00340 0.00674 SHOTPUT 0.00000 0.00000 0.00000 0.00000 0.00000 HIGHJUMP 0.00238 0.00340 0.00000 0.52117 -0.02205 RUN400M 0.00074 0.00674 0.00000 -0.02205 0.51512 HURD110M -0.00056 0.01003 0.00000 0.00633 -0.00934 DISCUS 0.00192 -0.02553 0.00000 -0.03275 0.00842 POLEVLT 0.00081 -0.01578 0.00000 0.01225 0.01889 JAVELIN -0.00633 -0.00497 0.00000 -0.05171 0.05455 HURD110M DISCUS POLEVLT JAVELIN RUN100M -0.00056 0.00192 0.00081 -0.00633 LONGJUMP 0.01003 -0.02553 -0.01578 -0.00497 SHOTPUT 0.00000 0.00000 0.00000 0.00000 HIGHJUMP 0.00633 -0.03275 0.01225 -0.05171 RUN400M -0.00934 0.00842 0.01889 0.05455 HURD110M 0.55975 0.03227 -0.02015 -0.02088 DISCUS 0.03227 0.46510 0.04376 0.01547 POLEVLT -0.02015 0.04376 0.69108 0.08087 JAVELIN -0.02088 0.01547 0.08087 0.78945 Root Mean Square Off-diagonal Residuals: Over-all = 0.02334949 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M 0.002594 0.011650 0.000000 0.023558 0.022425 HURD110M DISCUS POLEVLT JAVELIN 0.016247 0.024986 0.034671 0.040201 Factor Analysis Using Maximum Likelihood Method 19 Number of factors set equal to 3, run1500m omitted Initial Factor Method: Maximum Likelihood Partial Correlations Controlling Factors RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M RUN100M 1.00000 -0.00772 0.00000 0.00925 0.00287 LONGJUMP -0.00772 1.00000 0.00000 0.00767 0.01528 SHOTPUT 0.00000 0.00000 0.00000 0.00000 0.00000 HIGHJUMP 0.00925 0.00767 0.00000 1.00000 -0.04257 RUN400M 0.00287 0.01528 0.00000 -0.04257 1.00000 HURD110M -0.00210 0.02183 0.00000 0.01172 -0.01739 DISCUS 0.00792 -0.06095 0.00000 -0.06652 0.01720 POLEVLT 0.00273 -0.03091 0.00000 0.02041 0.03166 JAVELIN -0.02000 -0.00910 0.00000 -0.08061 0.08555 HURD110M DISCUS POLEVLT JAVELIN RUN100M -0.00210 0.00792 0.00273 -0.02000 LONGJUMP 0.02183 -0.06095 -0.03091 -0.00910 SHOTPUT 0.00000 0.00000 0.00000 0.00000 HIGHJUMP 0.01172 -0.06652 0.02041 -0.08061 RUN400M -0.01739 0.01720 0.03166 0.08555 HURD110M 1.00000 0.06324 -0.03240 -0.03142 DISCUS 0.06324 1.00000 0.07718 0.02553 POLEVLT -0.03240 0.07718 1.00000 0.10948 JAVELIN -0.03142 0.02553 0.10948 1.00000 Root Mean Square Off-diagonal Partials: Over-all = 0.03836540 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M 0.008860 0.026414 0.000000 0.040977 0.037034 HURD110M DISCUS POLEVLT JAVELIN 0.029490 0.048871 0.051689 0.059080 Factor Analysis Using Maximum Likelihood Method 20 Number of factors set equal to 3, run1500m omitted Rotation Method: Varimax Orthogonal Transformation Matrix 1 2 3 1 0.96904 0.16849 0.18049 2 -0.22059 0.91920 0.32620 3 -0.11094 -0.35592 0.92791 Rotated Factor Pattern FACTOR1 FACTOR2 FACTOR3 RUN100M 0.17323 0.90301 0.16611 LONGJUMP 0.24204 0.50683 0.55438 SHOTPUT 0.96904 0.16849 0.18049 HIGHJUMP 0.24074 0.21512 0.61204 RUN400M 0.03418 0.64038 0.27133 HURD110M 0.21671 0.30079 0.55028 DISCUS 0.69674 0.14295 0.17036 POLEVLT 0.13178 0.09762 0.53106 JAVELIN 0.41558 0.01341 0.19407 Variance explained by each factor FACTOR1 FACTOR2 FACTOR3 Weighted 1.876662 8.207470 2.952921 Unweighted 1.809231 1.677682 1.467236 Final Communality Estimates and Variable Weights Total Communality: Weighted = 13.037054 Unweighted = 4.954149 RUN100M LONGJUMP SHOTPUT HIGHJUMP RUN400M Communality 0.873026 0.622798 1.000000 0.478826 0.484882 Weight 7.875598 2.651108 . 1.918758 1.941299 HURD110M DISCUS POLEVLT JAVELIN Communality 0.440249 0.534901 0.308917 0.210550 Weight 1.786513 2.150080 1.447002 1.266695