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Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences, 3rd Edition by Leona S. Aiken, Stephen G. West, Patricia Cohen, Jacob Cohen

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APPENDIX  2

Determination of the Inverse Matrix and Applications Thereof

A2.1 HAND CALCULATION OF THE MULTIPLE REGRESSION/CORRELATION PROBLEM

Although most practitioners of MRC analysis are likely to turn over the necessary work to a computer program, it is quite possible to perform these operations with a hand calculator. The major problems in doing so are the many opportunities for error and the amount of time required, both of which increase rapidly as a function of n and k. Several methods for determining the MRC solution are available, of which the best known is the Doolittle solution. We prefer the method that is presented here because it produces the inverse of the correlation matrix among IVs whose elements provide results that are of ...

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