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Sample Size Calculation for Estimating or Testing a Nonzero Squared Multiple Correlation Coefficient Hence, in this paper detailed insight of the procedure is shown, compared and implemented. It is found that this procedure is easier and time-saving especially when dealing with greater number of independent variables in a model and a large number of all possible models.

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Using the full correlation matrix can facilitate the implementation of Excel function in removing the multicollinearity source variables. This approach is accomplished by removing the multicollinearity source variables on the basis of the correlation coefficient values based on full correlation matrix. Thus, an alternative approach is introduced in overcoming the multicollinearity problem in achieving a well represented model eventually. Besides, the problem of multicollinearity also violates the assumption of multiple regression: that there is no collinearity among the possible independent variables. In this case, it would be difficult to distinguish between the contributions of these independent variables to that of the dependent variable as they may compete to explain much of the similar variance. Multicollinearity happens when there are high correlations among independent variables. Overcoming multicollinearity in multiple regression using correlation coefficient Determining Sample Size for Accurate Estimation of the Squared Multiple Correlation Coefficient.ĮRIC Educational Resources Information Centerĭiscusses determining sample size for estimation of the squared multiple correlation coefficient and presents regression equations that permit determination of the sample size for estimating this parameter for up to 20 predictor variables.






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