한국해양대학교

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비모수검정의 비교연구 및 특정 분포에 대한 검정력 분석

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dc.contributor.author 신성민 -
dc.date.accessioned 2017-02-22T06:16:28Z -
dc.date.available 2017-02-22T06:16:28Z -
dc.date.issued 2008 -
dc.date.submitted 56877-07-05 -
dc.identifier.uri http://kmou.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000002175099 ko_KR
dc.identifier.uri http://repository.kmou.ac.kr/handle/2014.oak/9256 -
dc.description.abstract The Mann-Whitney test and the median test are two tests that can be used to test for a difference in location parameters. This paper compared powers of the two tests under a variety of population distributions through a simulation study. Both tests require that two underlying populations have the same variance, but this assumption was relaxed in some of the comparisons. In every case, equal sizes of 10 and 20 were used. The Mann-Whitney test was found to be more powerful than the median test. It had the largest power when the underlying distributions were log-normal, beta, gamma, and chi-square for both sample sizes. The powers of the two tests were about the same for sample sizes of 10 and 20 from the mixture population 80% N(0,1) and 20% N(2,25) and for sample sizes of 10 from the mixture population 95% N(0,1) and 5% N(30,91). When the equal variance assumption was relaxed, the median test was found be more conservative than the Mann-Whitney test. -
dc.description.tableofcontents LIST OF TABLES.........................................................................................................ii LIST OF FIGURES.......................................................................................................iii ABSTRACT....................................................................................................................v INTRODUCTION............................................................................................................1 SURVEY OF LITERATURE..........................................................................................4 DESIGN OF STUDY......................................................................................................7 RESULTS.....................................................................................................................13 Log-normal Distribution Case...........................................................................13 Mixed Normal Distribution Case......................................................................14 Beta Distribution Case......................................................................................14 Gamma Distribution Case..................................................................................14 Chi-square Distribution Case...........................................................................15 CONCLUSIONS AND FUTURE RESEARCH.............................................................16 REFERENCES.............................................................................................................18 APPENDIX A : SAMPLE OF PROGRAM Log-normal Single Distribution Case With Sample size 10:10......................40 APPENDIX B : SAMPLE OF PROGRAM Mixture Distribution Case of N(0,1) and N(2,25) With Sample size 10:10......................................................................................43 APPENDIX C : SAMPLE OF PROGRAM Mixture Distribution Case of N(0,1) and N(30,91) With Sample size 10:10......................................................................................46 APPENDIX D: SAMPLE OF PROGRAM Beta Single Distribution Case With Sample Size 10:10......................................49 APPENDIX E: SAMPLE OF PROGRAM Gamma Single Distribution Case With Sample Size 10:10..................................52 APPENDIX F: SAMPLE OF PROGRAM Chi-square Single Distribution Case With Sample Size 10:10...........................55 -
dc.language eng -
dc.publisher 한국해양대학교 대학원 -
dc.title 비모수검정의 비교연구 및 특정 분포에 대한 검정력 분석 -
dc.title.alternative A comparative study of nonparametric tests and analysis of powers about specific distributions -
dc.type Thesis -
dc.date.awarded 2008-02 -
dc.contributor.alternativeName Shin. Sung Min -
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응용과학과 > Thesis
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