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이중 다단계 일반화 선형모형의 평균과 산포의 결합 모델링을 통한 열화시험데이터 분석

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Alternative Title
Analysis of Degradation Test Data via the Joint Modelling of Mean and Dispersion of the Double Hierarchical Generalized Linear Model
Abstract
Regression analysis was extended to include GLMs, LMMs and GLMMs as the random effect was added and the model became generalized. HGLMs have been proposed, which can expand the distribution of the random effect to a distribution other than the normal distribution (Lee and Nelder, 1996). DHGLMs is an extension of HGLMs, which also takes into account the random effect of the dispersion model (Lee and Nelder, 2006). In this study, we apply the fixed effect to the dispersion model through joint modeling (Lee and Nelder, 1991). The data used in the analysis are the degradation test data, which has the tire crack length and distance of driving as variables, and analyzed the influence of tire crack length on driving once. R package dhglm () was used for model fit of each model (Lee and Noh, 2018).
Author(s)
김혁진
Issued Date
2019
Awarded Date
2019. 2
Type
Dissertation
Keyword
Degradation test data Random effect Double Hierarchical Generalized Linear Models Joint modeling Dispersion model
Publisher
부경대학교
URI
https://repository.pknu.ac.kr:8443/handle/2021.oak/23349
http://pknu.dcollection.net/common/orgView/200000179652
Affiliation
부경대학교 대학원
Department
대학원 통계학과
Advisor
노맹석
Table Of Contents
제 1장 서론(Introduction) 1
제 2장 모형개요(Model Descripion) 3
2.1 다단계 일반화 선형모형(HGLMs) 3
2.2 결합 일반화 선형모형(JGLMs) 4
2.3 이중 다단계 일반화 선형모형(DHGLMs) 5
제 3장 데이터 분석(Data Analysis) 10
3.1 데이터 설명(Data Description) 10
3.2 모형 적합(Model Fitting Preocedure) 15
3.2.1 GLM 17
3.2.2 JGLM 20
3.2.3 HGLM 23
3.2.4 HGLM2 25
3.2.5 DHGLM 29
3.2.6 DHGLM2 32
3.3 기울기 차이 검정(Slope Difference Test) 35
3.4 잔차도표(Residual Plot) 37
3.5 요약 정리(Summary) 40
제 4장 결론 41
Degree
Master
Appears in Collections:
대학원 > 통계학과
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