Date of Award:
Master of Science (MS)
Mathematics and Statistics
Department name when degree awarded
Rex L. Hurst
The precision of the estimates of the regression coefficients in a regression analysis is affected by multicollinearity. The effect of certain factors on multicollinearity and the estimates was studied. The response variables were the standard error of the regression coefficients and a standarized statistic that measures the deviation of the regression coefficient from the population parameter.
The estimates are not influenced by any one factor in particular, but rather some combination of factors. The larger the sample size, the better the precision of the estimates no matter how "bad" the other factors may be.
The standard error of the regression coefficients proved to be the best indication of estimation problems.
Teed, John Charles, "Multicollinearity and the Estimation of Regression Coefficients" (1978). All Graduate Theses and Dissertations. 6947.
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