Degree Name

Master of Science

Graduate Program

Mathematics

Advisor

Olive, David J

Abstract

We consider testing the multiple linear regression model with the one component partial least squares (OPLS) estimator and the marginal maximum likelihood estimator (MMLE) where the sample covariance vector ηˆOP LS = ΣˆxY, including the case where the predictors have been standardized to have unit variance. Some of the tests can be done in high dimensions.

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