A Graphical Procedure for Determining Useful Principal Components | ||||
| The Egyptian Statistical Journal | ||||
| Article 2, Volume 56, Issue 2, December 2012, Page 67-81 PDF (6.99 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.2012.314337 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Nehad A.Mokhlis1; Sahar A.N. Ibrahim2; Nadia B.Gregni3 | ||||
| 1Faculty of Science, Ain Shams University | ||||
| 2Faculty of Graduate Studies and Statistical Research, Cairo University | ||||
| 3Faculty of Science , El-Fateh University, Lybia | ||||
| Abstract | ||||
| One of the purposes of principal component analysis is to reduce the dimensionality of the set of variables. Several approaches have been suggested by different authors for determining the number of principal components that should be kept for further analysis. In this paper we present a graphical procedure depending on the computation of the coefficient of multiple determination of each variable when this variable is regressed on the other variables. A comparison of our criterion with the eigenvalue-one criterion, the Scree test criterion and the percentage criterion is given through examples. Our criterion can be considered as a lower bound for principal components retained. It is a precise one, in the sense that when different people analyze the same data they will obtain the same result. In addition it takes into account the components with variance smaller than one but important. | ||||
| Keywords | ||||
| Eigenvalues - Scree Test; Communality - Coefficient of Multiple Determination | ||||
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