Ridge regression is a type of regression technique which was developed to remedy the problem of multicollinearity in regression analysis. The major problem with multicollinearity is that it causes high variances in the estimation of regression coefficients. The ridge model introduces some bias into the regression equation in order to reduce the variance of the estimators. The purposes of this study were to demonstrate the application of the ridge regression model to educational data and to compare the characteristics and performance of the ridge method and the least squares method. In this study, four types of ridge were compared to the least squares method. They were ridge trace, generalized, ordinary and directed ridge. / The sample of this study consisted of 141 public schools in Dade County, Florida. The dependent variable was the students' average scores in mathematical computation and reading comprehension. Six variables representing teacher and student characteristics were employed as the predictors. The performance of ridge and the least squares were compared in terms of the confidence interval of an individual estimator and predictive accuracy for the whole model. Since the statistical inference for the ridge method has not been completely developed, the bootstrap technique with a sample size of twenty, was used to calculate the confidence interval of each estimator. / The study resulted in a successful application of ridge regression to school level data in which it was found that (1) ridge regression yielded a smaller confidence interval for every estimated regression coefficient and (2) ridge regression produced higher predictive accuracy than ordinary least squares. / Since the results were just based on one particular set of data, it cannot be guaranteed that ridge always outperforms the least squares method in all cases. / Source: Dissertation Abstracts International, Volume: 49-03, Section: A, page: 0487. / Major Professor: F. J. King. / Thesis (Ph.D.)--The Florida State University, 1988.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_76217 |
| Contributors | Churngchow, Chidchanok., Florida State University |
| Source Sets | Florida State University |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | 144 p. |
| Rights | On campus use only. |
| Relation | Dissertation Abstracts International |
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