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Title: Graphical methods for the sensitivity analysis in discriminant analysis

Abstract

Similar to regression, many measures to detect influential data points in discriminant analysis have been developed. Many follow similar principles as the diagnostic measures used in linear regression in the context of discriminant analysis. Here we focus on the impact on the predicted classification posterior probability when a data point is omitted. The new method is intuitive and easily interpretative compared to existing methods. We also propose a graphical display to show the individual movement of the posterior probability of other data points when a specific data point is omitted. This enables the summaries to capture the overall pattern of the change.

Authors:
 [1];  [2];  [3]
  1. Chung-Ang Univ., Seoul (Korea)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Pukyong National Univ., Busan (Korea)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1224442
Report Number(s):
LA-UR-15-26287
Journal ID: ISSN 2287-7843
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Communications for Statistical Applications and Methods
Additional Journal Information:
Journal Volume: 22; Journal Issue: 5; Journal ID: ISSN 2287-7843
Publisher:
Korean International Statistical Society
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; discriminant analysis; influence detection measure; individual movement plot; influential observations

Citation Formats

Kim, Youngil, Anderson-Cook, Christine M., and Dae-Heung, Jang. Graphical methods for the sensitivity analysis in discriminant analysis. United States: N. p., 2015. Web. doi:10.5351/CSAM.2015.22.5.475.
Kim, Youngil, Anderson-Cook, Christine M., & Dae-Heung, Jang. Graphical methods for the sensitivity analysis in discriminant analysis. United States. https://doi.org/10.5351/CSAM.2015.22.5.475
Kim, Youngil, Anderson-Cook, Christine M., and Dae-Heung, Jang. 2015. "Graphical methods for the sensitivity analysis in discriminant analysis". United States. https://doi.org/10.5351/CSAM.2015.22.5.475. https://www.osti.gov/servlets/purl/1224442.
@article{osti_1224442,
title = {Graphical methods for the sensitivity analysis in discriminant analysis},
author = {Kim, Youngil and Anderson-Cook, Christine M. and Dae-Heung, Jang},
abstractNote = {Similar to regression, many measures to detect influential data points in discriminant analysis have been developed. Many follow similar principles as the diagnostic measures used in linear regression in the context of discriminant analysis. Here we focus on the impact on the predicted classification posterior probability when a data point is omitted. The new method is intuitive and easily interpretative compared to existing methods. We also propose a graphical display to show the individual movement of the posterior probability of other data points when a specific data point is omitted. This enables the summaries to capture the overall pattern of the change.},
doi = {10.5351/CSAM.2015.22.5.475},
url = {https://www.osti.gov/biblio/1224442}, journal = {Communications for Statistical Applications and Methods},
issn = {2287-7843},
number = 5,
volume = 22,
place = {United States},
year = {Wed Sep 30 00:00:00 EDT 2015},
month = {Wed Sep 30 00:00:00 EDT 2015}
}