Mathematical Sciences: Interactive Display and Exploration  of Likelihood Surfaces
{'Code': '03040107', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Alan Izenman', 'PO_EMAI': None, 'PO_PHON': None}
This research is to provide theoretical and advanced                       computational methods for the interactive graphical display and                 exploration of likelihood surfaces or posterior density surfaces.               In both the likelihood and Bayesian methods of statistical                      inference, the regions which represent reasonable parameter                     values in a statistical model for a data set are bounded by                     contours of a function of parameters. This research aims to                     develop and enhance a method of displaying two-dimensional                      projections of such contours using information from the profile                 of the objective function.  The goal is produce a tool for                      examining likelihood surfaces and posterior density surfaces that               replaces the reliance on possibly inaccurate numerical summaries                as is done now.                                                                      This research is in the developing discipline of graphical                 statistics.  Others are trying to extend the applicability of                   Bayesian statistics by improving numerical integration                          capabilities.  This proposal takes a different approach which                   proposes to bypass the numerical difficulties by developing                     graphical solutions instead.
{'FirstName': 'Douglas', 'LastName': 'Bates', 'PI_MID_INIT': 'M', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Douglas M Bates', 'EmailAddress': 'bates@stat.wisc.edu', 'NSF_ID': '000453042', 'StartDate': '07/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Wisconsin-Madison', 'CityName': 'MADISON', 'ZipCode': '537151218', 'PhoneNumber': '6082623822', 'StreetAddress': '21 North Park Street', 'StreetAddress2': 'Suite 6301', 'CountryName': 'United States', 'StateName': 'Wisconsin', 'StateCode': 'WI', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'WI02', 'ORG_DUNS_NUM': '161202122', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF WISCONSIN SYSTEM', 'ORG_PRNT_DUNS_NUM': '041188822'}
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{'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}
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