finals01a

finals01a - STAT 501 Final Exam Solutions and Comments...

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STAT 501 Final Exam Solutions and Comments Spring 2001 1. a. (3 points) (1.49/7) x 100% = 21.3% b. (3 points) 0 c. (3 points) 0.89 = 3.82 (0.453) d. (3 points) 3.82 = 1 ^ λ e. (5 points) The formula for the scores use the standardized values of the measured traits, + + + + + + = 77 7 7j 66 6 6j 55 5 5j 44 4 4j 33 3 3j 22 2 2j 11 1 1j j 1 s X X 0.434 s X X 0.453 s X X 0.453 s X X 0.435 s X X 0.294 s X X 0.211 s X X 0.285 Y ˆ This is an overall size component with more emphasis on body length and height measurements than on head size measurements. This component accounts for about 54.6% of the total variance of the standardized measurements. f. (5 points) The second principal component compares head size with length of body measurements. It assumes large positive values for tall criminals with relatively small heads, and it assumes extreme negative values for short criminals with relatively large heads. This component accounts for about 21.3% of the total variance of the standardized measurements. The third principal component is a head shape component that compares head length with head width. It assumes large positive values for criminals with relatively long and narrow heads, and it assumes extreme negative values for criminals with relatively short and wide heads. This component accounts for about 9.3% of the total variance of the standardized measurements. g. (3 points) The first principal component corresponds to the positive correlations between all of the measurements. The higher loadings of the body length measurements on the first component reflects that correlations among the body length measurements are stronger than 1
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correlations among the head size measurements. The second principal component
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This note was uploaded on 12/16/2011 for the course STAT 5705 taught by Professor Staff during the Fall '09 term at FSU.

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finals01a - STAT 501 Final Exam Solutions and Comments...

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