Song, Myung Soon
(2011)
Unconventional Approach with the Likelihood of Correlation Matrices.
Doctoral Dissertation, University of Pittsburgh.
(Unpublished)
Abstract
Numerical approximations are important research areas for dealing with complicated functional forms. Techniques for developing accurate and efficient calculation of combined likelihood functions in meta-analysis are studied. The first part of the thesis introduces a B-spline approximation for making a parsimonious model in the simplest case(2-dimensional case) of correlation structure. Inference about the correlation between vitamin C intake & vitamin C serum level is developed by using likelihood intervals and the MLE, along with comparison with conventional methods. The second part studies a multivariate numerical integration method for developing a better approximation of the likelihood for correlation matrices. Analyses for (1) intercorrelations among Math, Spatial and Verbal scores in an SAT exam and (2) intercorrelations among Cognitive Anxiety, Somatic Anxiety and Self Confidence from Competitive State Anxiety Inventory (CSAI-2) are explored. Algorithms to evaluate likelihood and to find the MLE is developed. Comparison with two conventional methods (joint asymptotic weighted average method & marginal asymptotic weighted average method) is shown.
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Details
Item Type: |
University of Pittsburgh ETD
|
Status: |
Unpublished |
Creators/Authors: |
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ETD Committee: |
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Date: |
30 September 2011 |
Date Type: |
Completion |
Defense Date: |
19 May 2011 |
Approval Date: |
30 September 2011 |
Submission Date: |
31 May 2011 |
Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
Institution: |
University of Pittsburgh |
Schools and Programs: |
Dietrich School of Arts and Sciences > Statistics |
Degree: |
PhD - Doctor of Philosophy |
Thesis Type: |
Doctoral Dissertation |
Refereed: |
Yes |
Uncontrolled Keywords: |
correlation matrix; likelihood; meta-analysis; numerical integration |
Other ID: |
http://etd.library.pitt.edu/ETD/available/etd-05312011-162131/, etd-05312011-162131 |
Date Deposited: |
10 Nov 2011 19:46 |
Last Modified: |
15 Nov 2016 13:44 |
URI: |
http://d-scholarship.pitt.edu/id/eprint/7986 |
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