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Detection and Explanation of Statistical Differences Across a Pair of Groups

Sverchkov, Yuriy (2014) Detection and Explanation of Statistical Differences Across a Pair of Groups. Doctoral Dissertation, University of Pittsburgh.

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Abstract

The task of explaining differences across groups is a task that people encounter often, not only in the research environment, but also in less formal settings.
Existing statistical tools designed specifically for discovering and understanding differences are limited.
The methods developed in this dissertation provide such tools and help understand what properties such tools should have to be successful and to motivate further development of new approaches to discovering and understanding differences.

This dissertation presents a novel approach to comparing groups of data points.
The process of comparing groups of data is divided into multiple stages:
The learning of maximum a posteriori models for the data in each group, the identification of statistical differences between model parameters, the construction of a single model that captures those differences, and finally, the explanation of inferences of differences in marginal distributions in the form of an account of clinically significant contributions of elemental model differences to the marginal difference.
A general framework for the process, applicable to a broad range of model types, is presented.
This dissertation focuses on applying this framework to Bayesian networks over multinomial variables.

To evaluate model learning and the detection of parameter differences an empirical evaluation of methods for identifying statistically significant differences and clinically significant differences is performed.
To evaluate the generated explanations of how differences in the models account for the differences in probabilities computed from those models, case studies with real clinical data are presented, and the findings generated by explanations are discussed.
An interactive prototype that allows a user to navigate through such an explanation is presented, and ideas are discussed for further development of data analysis tools for comparing groups of data.


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Details

Item Type: University of Pittsburgh ETD
Status: Published
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Sverchkov, Yuriyyus24@pitt.eduYUS24
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairCooper, Gregory Fgfc@pitt.eduGFC
Committee MemberClermont, Gillescler@pitt.eduCLER
Committee MemberHauskrecht, Milosmilos@cs.pitt.eduMILOS
Committee MemberVisweswaran, Shyamshv3@pitt.eduSHV3
Date: 25 September 2014
Date Type: Publication
Defense Date: 16 July 2014
Approval Date: 25 September 2014
Submission Date: 15 July 2014
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 157
Institution: University of Pittsburgh
Schools and Programs: Dietrich School of Arts and Sciences > Intelligent Systems
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: difference detection, explanation, probability, statistics, Bayesian models, Bayesian networks, machine learning, descriptive data analysis, Bayes factors, context-specific independence
Date Deposited: 25 Sep 2014 15:32
Last Modified: 15 Nov 2016 14:22
URI: http://d-scholarship.pitt.edu/id/eprint/22486

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  • Detection and Explanation of Statistical Differences Across a Pair of Groups. (deposited 25 Sep 2014 15:32) [Currently Displayed]

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