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Open outdoor lifestyle data (Outdoor.sav) file. Run factor analysis on following

ID: 3222897 • Letter: O

Question

Open outdoor lifestyle data (Outdoor.sav) file. Run factor analysis on following five variables: the importance attached to enjoying nature, relating to the weather, living in harmony with the environ­ment, exercising regularly, and meeting other people (V2 to V6)· Run rotation if necessary.

1. Interpret (label and explain) the factors extracted.

2. Report factor scores for each respondent.

3. Report and explain the model fit statistics.

Prefer. nature weather enviro exercise oeople sex residents

7 3 6 4 5 2 1 1 1 1 1 2 1 2 1 1 6 2 5 4 4 5 1 1 4 3 4 6 3 2 1 1 1 2 2 3 1 2 1 1 6 3 5 4 6 2 1 1 5 3 4 3 4 5 1 1 6 4 5 4 5 1 1 1 3 3 2 2 2 2 1 1 2 4 2 6 2 2 1 1 6 4 5 3 5 5 1 2 2 3 1 4 2 1 1 2 7 2 6 4 5 6 1 2 4 6 4 5 3 3 1 2 1 3 1 2 1 4 1 2 6 6 6 3 4 5 2 2 5 5 6 4 4 6 2 2 7 7 4 4 7 7 2 2 2 6 3 7 4 3 2 2 3 7 3 6 4 4 2 2 1 5 2 6 3 3 2 3 5 6 4 7 5 6 2 3 2 4 1 5 4 4 2 3 4 7 4 7 4 6 2 3 6 7 4 2 1 7 2 3 3 6 4 6 4 4 2 3 4 7 7 4 2 5 2 3 3 7 2 6 4 3 2 3 4 6 3 7 2 7 2 3 5 6 2 6 7 2 2 3

Explanation / Answer

1.

Extraction Method: Principal Component Analysis.

Extraction inkdicates the proportion of each variable's variance that can be explained by retained factors. Variance with high value are well represented in lcommon factor space for example( Nature,Weather and enviro).

b)

c)

KMO and Bartlett's Test          
Kaiser-Meyer-Olkin Measure of Sampling Adequacy.       .505  
Bartlett's Test of Sphericity   Approx. Chi-Square   28.370  
   df   10  
   Sig.   .002  


Conclusion : Since the P-value is 0.002 which is less than 0.05, we will reject null and conclude that there is significant difference between the factors.

Communalities Initial Extraction Nature 1.000 .704 Weather 1.000 .781 enviro 1.000 .842 excercise 1.000 .387 People 1.000 .563

Extraction Method: Principal Component Analysis.