/* answers to assignment 10 */ mat list e, title(eigenvalues of R) e[1,5]: eigenvalues e1 e2 e3 e4 e5 r1 2.8733126 1.7966619 .21483249 .09993792 .01525512 mat list v, title(eigenvectors of R) v[5,5]: eigenvectors e1 e2 e3 e4 e5 c1 .3427307 .60162902 .05953213 .20400254 .68950495 c2 .45250626 -.40641655 .68881632 -.35359247 .17483742 c3 .39669593 .54166404 .24794938 .02295984 -.69801601 c4 .55005636 -.077817 -.66408693 -.50037091 -.00013457 c5 .46673772 -.41642849 -.139634 .76318879 -.08239189 mat list L, title(principal component loadings) L[5,2]: principal component loadings e1 e2 c1 .5809576 .80642124 c2 .76703649 -.54475919 c3 .67243325 .72604441 c4 .93239219 -.10430561 c5 .79116002 -.55817916 mat list h2, title(squared multiple correlations) symmetric h2[5,5]: squared multiple correlations r1 r2 r3 r4 r5 r1 .96859266 r2 0 .82227255 r3 0 0 .96918152 r4 0 0 0 .78571828 r5 0 0 0 0 .84700768 mat lis R1, title(reduced correlation matrix) symmetric R1[5,5]: reduced correlation matrix r1 r2 r3 r4 r5 r1 .96859266 r2 .00975 .82227255 r3 .97245 .15428 .96918152 r4 .43887 .69141 .51472 .78571828 r5 .02241 .86307 .12193 .77765 .84700768 mat list e, title(eigenvalues of R1) e[1,5]: eigenvalues of R1 e1 e2 e3 e4 e5 r1 2.7342939 1.7160662 .03954898 -.02452476 -.07261163 mat list v, title(eigenvectors of R1) v[5,5]: eigenvectors of R1 e1 e2 e3 e4 e5 c1 .37817108 .5848972 -.22020304 .6829015 -.00616909 c2 .43160772 -.42378974 .63783521 .32649216 -.34739911 c3 .4320836 .51859407 .45197248 -.5356222 .23063759 c4 .53157268 -.12097132 -.5379757 -.36898686 -.52652376 c5 .44881584 -.44127503 -.22578726 .0632927 .74084738 mat list L, title(factor loadings) L[5,2]: factor loadings e1 e2 c1 .62533237 .76620779 c2 .7136936 -.55515909 c3 .7144805 .67935154 c4 .87899265 -.15847087 c5 .74214842 -.57806461