Tudorascu, Dana Larisa
(2009)
PARTIAL LEAST SQUARES ON DATA WITH MISSING COVARIATES: A COMPARISON APPROACH.
Doctoral Dissertation, University of Pittsburgh.
(Unpublished)
Abstract
The correlation between any two random variables can be estimated using a variety of techniques including parametric methods based on the Pearson correlation coefficient, nonparametric methods, and regression analysis. While these estimators have been widely used, the computation of these estimates in the presence of missing data has not been as widely studied. There has been some work addressing the estimation of parameters in the presence of missing data for regression analysis; including imputation, inverse probability weighted regression and weighted estimating equations. However, there has been little work focused on the estimation of the correlation coefficient. To assess the usefulness of these methods in a practical setting, we present simulation studies comparing imputation, inverse probability weighting and complete cases and provide recommendations on the basis of these results. Furthermore, computation of Partial Least Squares (PLS) scores with the correlation matrix computed using the above mentioned techniques are also presented. We apply these results in a positron emission tomography data set consisting of several different brain regions as response variables and cognitive tasks as covariates of interest. Alzheimer's disease is a progressive and fatal health disease. The application presented in this work is significant for public health since it provides us with a better understanding of variability in different brain regions as it relates to neuropsychological tests that are helpful in diagnosis of progressive brain disease (i.e Alzheimer's disease).
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| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
|
| ETD Committee: |
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| Date: |
28 September 2009 |
| Date Type: |
Completion |
| Defense Date: |
4 June 2009 |
| Approval Date: |
28 September 2009 |
| Submission Date: |
10 June 2009 |
| Access Restriction: |
5 year -- Restrict access to University of Pittsburgh for a period of 5 years. |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
School of Public Health > Biostatistics |
| Degree: |
PhD - Doctor of Philosophy |
| Thesis Type: |
Doctoral Dissertation |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
COVARIATES; MISSING DATA; PARTIAL LEAST SQUARES |
| Other ID: |
http://etd.library.pitt.edu/ETD/available/etd-06102009-145729/, etd-06102009-145729 |
| Date Deposited: |
10 Nov 2011 19:46 |
| Last Modified: |
15 Nov 2016 13:44 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/8068 |
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