Research Methodology - Dr. Krishan K. Pandey

334 Research Methodology
For finding principal component II, we have to proceed on similar lines (as stated in the context
of obtaining centroid factor B earlier in this chapter) to obtain the following result * :
Variables Principal Component II
1 +.57
2 +.59
3 –.52
4 –.59
5 +.57
6 –.61
7 –.49
8 –.61
The other parts of the question can now be worked out (after first putting the above information in a
matrix form) as given below:
Variables Principal Components Communality, h2 I II
1 .69 +.57 (.69) 2 + (.57) 2 = .801
2 .62 +.59 (.62) 2 + (.59) 2 = .733
3 .64 –.52 (.64) 2 + (–.52) 2 = .680
4 .64 –.59 (.64) 2 + (–.59) 2 = .758
5 .63 +.57 (.63) 2 + (.57) 2 = .722
6 .70 –.61 (.70) 2 + (–.61) 2 = .862
7 .68 –.49 (.68) 2 + (–.49) 2 = .703
8 .68 –.61 (.68) 2 + (–.61) 2 = .835
Eigen value
i.e., common 3.4914 2.6007 6.0921
variance
Proportion .436 .325 .761
of total (43.6%) (32.5%) (76%)
variance
Proportion .573 .427 1.000
of common (57%) (43%) (100%)
variance
All these values can be interpreted in the same manner as stated earlier.
* This can easily be worked out. Actual working has been left as an exercise for the students.