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Category > Statistics Posted 31 May 2017 My Price 9.00

Perform a principal component analysis using the correlation matrix

8.18.   A naturalist for the Alaska Fish and Game Department studies grizzly bears with the goal of maintaining a healthy population. Measurements on n = 61 bears provided the following summary statistics:

 

Variable

Weight

(kg)

Body

length (em)

Neck

(em)

Girth

(em)

Head

length (em)

Head

width (em)

Sample mean x

 

95.52

 

164.38

 

55.69

 

93.39

 

17.98

 

31.13

 

Chapter 8       References       475

Covariance matrix

 

3266.46

1343.97

731.54

1175.50

162.68

238.37

1343.97

721 .91

324.25

537.35

80.17

117.73

731 .54

324.25

179.28

281 .17

39.15

56.80

1175.50

537.35

281 .17

474.98

63.73

94.85

162.68

80. 17

39.15

63.73

9.95

13.88

238.37

117.73

56.80

94.85

13.88

21 .26

 
 

S=                                                                          

 

(a)    Perform a principal component analysis using the covariance matrix. Can the data be effectively summarized in fewer than six dimensions?

(b)   Perform a principal component analysis using the correlation matrix.

(c)    Comment on the similarities and differences between the two analyses.

 

Answers

Alpha Geek
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Status NEW Posted 31 May 2017 06:05 AM My Price 9.00

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