ISSN: 2250-3005 - ijcer

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International Journal Of Computational Engineering Research (ijceronline.com) Vol. 2 Issue. 8Eigen analysis of the Covariance MatrixEigenvalue 0.41645 0.01573 0.00119Proportion 0.961 0.036 0.003Cumulative 0.961 0.997 1.000Variable PC1 PC2 PC3diameter(cm) -0.000 -0.017 1.000circumf(cm) -0.062 -0.998 -0.017length(cm) 0.998 -0.062 -0.001Table 3.12 shows the result of the 7/8`` round pipe data using PCA.Table 3.12 :————— 10/10/2012 11:38:11 AM ——————————————————Welcome to Minitab, press F1 forhelp.CORRELATIOND C LD 1 0.166 0.331C 0.166 1 0.067L 0.0331 0.067 1Covariances: diameter(cm), circumf(cm), length(cm)diam circm lengthdiam 0.00258933 0.00133333 0.00872900circm 0.00133333 0.02500000 0.00550000length 0.00872900 0.00550000 0.26826933Eigenanalysis of the Covariance MatrixEigenvalue 0.41645 0.01573 0.00119Proportion 0.961 0.036 0.003Cumulative 0.961 0.997 1.000Variable PC1 PC2 PC3diameter(cm) -0.000 -0.017 1.000circumf(cm) -0.062 -0.998 -0.017length(cm) 0.998 -0.062 -0.001Table 3.13 shows the result of the 2 X 2 round pipe data using PCA.Table 3.13 :CORRELATIOND C LD 1 0.043 0.074C 0.043 1 0.42L 0.074 0.42 1Covariances: diameter(cm), circumf(cm), length(cm)diam circum lengthdiam 0.00251433 0.00419833 0.00105117circum 0.00419833 0.03793333 0.02292167length 0.00105117 0.02292167 0.07944733Eigenanalysis of the Covariance MatrixEigenvalue 0.089695 0.028218 0.001982Proportion 0.748 0.235 0.017Cumulative 0.748 0.983 1.000Variable PC1 PC2 PC3diameter(cm) 0.031 -0.131 0.991circumf(cm) 0.407 -0.904 -0.132length(cm) 0.913 0.407 0.026||Issn 2250-3005(online)|| ||December||2012|| Page 215
EigenvalueEigenvalueInternational Journal Of Computational Engineering Research (ijceronline.com) Vol. 2 Issue. 8Table 3.14 shows the result of the 1 X 1 round pipe data using PCA.Table 3.14 :CORRELATIOND C LD 1 0.044 -0.283C 0.044 1 0.034L -0.283 0.034 1Covariances: diameter(cm), circumf(cm), length(cm)diam circum lengthdiam 0.00325100 0.00035167 -0.00335833circum 0.00035167 0.01943333 0.00100000length -0.00335833 0.00100000 0.04333333Eigenanalysis of the Covariance MatrixEigenvalue 0.043651 0.019406 0.002960Proportion 0.661 0.294 0.045Cumulative 0.661 0.955 1.000Variable PC1 PC2 PC3diameter(cm) -0.082 0.030 0.996circumf(cm) 0.040 0.999 -0.026length(cm) 0.996 -0.038 0.084From Table 3.11,3.12,3.13 and 3.14,the correlation matrix shows a very low relationship(in appendices Table*)between the variables which indicate that there is no further need to conduct principal component analysis.Also, Table 3.11,3.12,3.13 and 3.14,shows that in each of the type of pipe produced, the diameter contribute highervariation to the total variation in the production process. This is clearly demonstrated by the eigen values and in the Appen dixsection, Figures m, n, o and p prove that by the sharp drop from the first eigen value in each graph.(3)0.30Scree Plot of diameter(cm), ..., length(cm)0.250.200.150.100.050.0012Component Number3Fig 3-1Scree Plot of diameter(cm), ..., length(cm)0.40.30.20.10.012Component NumberFig 3.23||Issn 2250-3005(online)|| ||December||2012|| Page 216
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