Research Methodology - Dr. Krishan K. Pandey

328 Research Methodology
Variables
1 2 3 * 4 * 5 6 * 7 * 8
8 .301 .230 .366 .327 .294 .354 .312 .534
Column sums: 2.580 2.642 2.470 2.757 2.558 2.887 2.375 2.718
Sum of column sums (T) = 20.987 ∴ T = 4581 .
Second centroid factor B = .563 .577 –.539 –.602 .558 –.630 –.518 .593
* These variables were reflected.
Now we can write the matrix of factor loadings as under:
Variables Factor loadings
Centroid Factor Centroid Factor
A B
1 .693 .563
2 .618 .577
3 .642 –.539
4 .641 –.602
5 .629 .558
6 .694 –.630
7 .679 –.518
8 .683 .593
Illustration 2
Work out the communality and eigen values from the final results obtained in illustration No. 1 of this
chapter. Also explain what they (along with the said two factors) indicate.
Solution: We work out the communality and eigen values for the given problem as under:
Table 13.2
Variables Factor loadings Communality (h2 )
Centroid Factor Centroid Factor
A B
1 .693 .563 (.693) 2 + (.563) 2 = .797
2 .618 .577 (.618) 2 + (.577) 2 = .715
3 .642 –.539 (.642) 2 + (–.539) 2 = .703
4 .641 –.602 (.641) 2 + (–.602) 2 = .773
5 .629 .558 (.629) 2 + (.558) 2 = .707
6 .694 –.630 (.694) 2 + (–.630) 2 = .879
7 .679 –.518 (.679) 2 + (–.518) 2 = .729
8 .683 .593 (.683) 2 + (.593) 2 = .818
Contd.
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