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題名 形成性潛在變項於非線性效果之模型設定 : 限制式方法
Model Specification for Nonlinear Effects of Formative Latent Variables: The Constrained Approach
作者 陳淑萍
Chen, Shu Ping
貢獻者 鄭中平
Cheng, Chung Ping
陳淑萍
Chen, Shu Ping
關鍵詞 形成性潛在變項
潛在非線性效果
限制式方法
formatively-measured latent variables
latent nonlinear effects
the constrained approach
日期 2016
上傳時間 21-Jul-2016 09:54:34 (UTC+8)
摘要 社會行為科學領域中，潛在非線性關係常為研究者所關切，發展潛在變項間非線性效果方法有其重要性。近年來，已有許多統計方法致力於非線性結構方程模型之估計。就作者所知，大多數方法主要侷限在以反映性測量模式 (reflective measurement model) 為基礎之潛在非線性效果估計，而忽略以形成性測量模式 (formative measurement model) 為基礎之潛在非線性效果估計。本研究衍生Chen與Cheng (2014) 於反映性測量模式基礎下所建立的非線性效果方法，拓展至以形成性測量模式為基礎之非線性效果方法。本研究建立的六個廣義性非線性架構，可獨立或同時嵌入三種類型非線性效果，包含反映性潛在變項間交互作用與二次項效果、形成性潛在變項間交互作用與二次項效果和反映性與形成性潛在變項間交互作用效果。值得注意地，每個非線性架構皆保有Chen與Cheng矩陣分割技術，可簡化模型設定的過程，並類推至更多情境的非線性模型。整體來說，本研究促進限制式方法與交乘項指標方法的發展，希冀提升方法發展與研究者在實務研究的應用。
Modeling latent nonlinear effects is a significant issue in the social and behavioral sciences. A variety of approaches have recently been developed for the estimation of nonlinear structural equation modeling. To the best of our knowledge most of these approaches have been developed primarily to estimate interaction and/or quadratic effects of reflectively-measured latent variables, while leaving nonlinear effects of formatively-measured latent variables unaccounted for. The current study implements formatively-measured latent variables into Jöreskog and Yang’s (1996) constrained approach by extending Chen and Cheng’s (2014) research to create a unified set of six generalized nonlinear frameworks, each capable of differentially or collectively modeling the three types of latent nonlinear effects that have arisen in empirical applications (i.e., interaction and/or quadratic effects between reflective latent variables, between formative latent variables, and between reflective and formative latent variables). By preserving the inherent advantage of Chen and Cheng, i.e., the matrix partitioning technique, while at the same time further generalizing its applicability, it is expected that the current framework enhances the potential usefulness of the constrained approach as well as the entire class of product indicator approaches.
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描述 博士
國立政治大學
心理學系
97752501
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0097752501
資料類型 thesis
dc.contributor.advisor 鄭中平zh_TW
dc.contributor.advisor Cheng, Chung Pingen_US
dc.contributor.author (Authors) 陳淑萍zh_TW
dc.contributor.author (Authors) Chen, Shu Pingen_US
dc.creator (作者) 陳淑萍zh_TW
dc.creator (作者) Chen, Shu Pingen_US
dc.date (日期) 2016en_US
dc.date.accessioned 21-Jul-2016 09:54:34 (UTC+8)-
dc.date.available 21-Jul-2016 09:54:34 (UTC+8)-
dc.date.issued (上傳時間) 21-Jul-2016 09:54:34 (UTC+8)-
dc.identifier (Other Identifiers) G0097752501en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/99413-
dc.description (描述) 博士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 心理學系zh_TW
dc.description (描述) 97752501zh_TW
dc.description.abstract (摘要) 社會行為科學領域中，潛在非線性關係常為研究者所關切，發展潛在變項間非線性效果方法有其重要性。近年來，已有許多統計方法致力於非線性結構方程模型之估計。就作者所知，大多數方法主要侷限在以反映性測量模式 (reflective measurement model) 為基礎之潛在非線性效果估計，而忽略以形成性測量模式 (formative measurement model) 為基礎之潛在非線性效果估計。本研究衍生Chen與Cheng (2014) 於反映性測量模式基礎下所建立的非線性效果方法，拓展至以形成性測量模式為基礎之非線性效果方法。本研究建立的六個廣義性非線性架構，可獨立或同時嵌入三種類型非線性效果，包含反映性潛在變項間交互作用與二次項效果、形成性潛在變項間交互作用與二次項效果和反映性與形成性潛在變項間交互作用效果。值得注意地，每個非線性架構皆保有Chen與Cheng矩陣分割技術，可簡化模型設定的過程，並類推至更多情境的非線性模型。整體來說，本研究促進限制式方法與交乘項指標方法的發展，希冀提升方法發展與研究者在實務研究的應用。zh_TW
dc.description.abstract (摘要) Modeling latent nonlinear effects is a significant issue in the social and behavioral sciences. A variety of approaches have recently been developed for the estimation of nonlinear structural equation modeling. To the best of our knowledge most of these approaches have been developed primarily to estimate interaction and/or quadratic effects of reflectively-measured latent variables, while leaving nonlinear effects of formatively-measured latent variables unaccounted for. The current study implements formatively-measured latent variables into Jöreskog and Yang’s (1996) constrained approach by extending Chen and Cheng’s (2014) research to create a unified set of six generalized nonlinear frameworks, each capable of differentially or collectively modeling the three types of latent nonlinear effects that have arisen in empirical applications (i.e., interaction and/or quadratic effects between reflective latent variables, between formative latent variables, and between reflective and formative latent variables). By preserving the inherent advantage of Chen and Cheng, i.e., the matrix partitioning technique, while at the same time further generalizing its applicability, it is expected that the current framework enhances the potential usefulness of the constrained approach as well as the entire class of product indicator approaches.en_US
dc.description.tableofcontents CHAPTER 1 INTRODUCTION 1
Section 1 Rationale 1
Section 2 Purpose of the Study 12
CHAPTER 2 PREPROCESSING OF MODEL SPECIFICATION 17
Section 1 The R-R Fundamental Framework 20
Part 1: The Partitioning Scheme of the R-R Framework 20
Part 2: A Structural Equation Matrix Representation of the R-R Framework 22
Part 3: The Constraint Specification for the R-R Framework 25
Section 2 Model Reformulating Procedure 29
Example 1: Interaction between Formative Latent Variables 32
Example 2: Interaction between Reflective and Formative Latent Variables 35
Section 3 Model Partitioning Scheme Applied on the Fundamental Frameworks 38
Section 4 Model Partitioning Scheme Applied on the Integrated Frameworks 44
Section 5 General Forms of Nonlinear Variables 54
Case 1: The Model Characterizing the F-F Fundamental Framework 56
Case 2: The Model Characterizing the R-F Fundamental Framework 57
Case 3: The Model Characterizing the F-F/R-F/R-R Integrated Framework 57
CHAPTER 3 MODEL SPECIFICATION FOR THE F-F AND R-F
FUNDAMENTAL FRAMEWORKS 60
Section 1 The Basic Model across Each Current Framework 62
Section 2 The F-F Fundamental Framework 65
Step 1: Expanding the Nonlinear Vectors 66
Step 2: Formulating the Structural Equation Matrix Representation 68
Step 3: Implementing the Constraint Specification 70
Section 3 The R-F Fundamental Framework 73
Step 1: Expanding the Nonlinear Vectors 74
Step 2: Formulating the Structural Equation Matrix Representation 76
Step 3: Implementing the Constraint Specification 77
Section 4 Simulated Examples 80
Illustrating the F-F Effect through Yu et al`s Model 84
Illustrating R-F Effects through Tucker-Drob and Briley`s Model 86
Validating the Model Specification of the F-F and R-F Fundamental Frameworks 88
CHAPTER 4 MODEL SPECIFICATION FOR THE F-F/R-R, R-F/R-R, F-F/R-F AND F-F/R-F/R-R INTEGRATED FRAMEWORKS 99
Section 1 The Inter-Compatibility of the Model Specifications of the R-R, F-F and R-F Fundamental Frameworks 101
Section 2 The F-F/R-R, R-F/R-R, F-F/R-F and F-F/R-F/R-R Integrated Frameworks 107
Model Specification of the F-F/R-R Framework 112
Step 1: Expanding the nonlinear vectors 112
Step 2: Formulating the structural equation matrix representation 112
Step 3: Implementing the constraint specification 113
Model Specification of the R-F/R-R Framework 114
Step 1: Expanding the nonlinear vectors 115
Step 2: Formulating the structural equation matrix representation 115
Step 3: Implementing the constraint specification 115
Model Specification of the F-F/R-F Framework 115
Step 1: Expanding the nonlinear vectors 116
Step 2: Formulating the structural equation matrix representation 116
Step 3: Implementing the constraint specification 118
Model Specification of the F-F/R-F/R-R Framework 120
Step 1: Expanding the nonlinear vectors 120
Step 2: Formulating the structural equation matrix representation 120
Step 3: Implementing the constraint specification 120
Section 3 Simulated Examples 122
Illustrating the F-F/R-R, R-F/R-R, F-F/R-F and F-F/R-F/R-R Effects through Yu et al`s Reformulated Model 123
Validating the Model Specification of the F-F/R-R, R-F/R-R, F-F/R-F and F-F/R-F/R-R Integrated Frameworks 132
CHAPTER 5 DISCUSSION 156
Section 1 Discussion of Findings 158
Section 2 Limitations and Directions for Further Research 161
REFERENCES 171
APPENDICES
A Expansions 192
B Derivations of the Partitioned Matrices 196
C Expansions 199
D Derivations of the Partitioned Matrices 202
E The Derivation of the Constraint 204		zh_TW
dc.format.extent 2040910 bytes-
dc.format.mimetype application/pdf-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0097752501en_US
dc.subject (關鍵詞) 形成性潛在變項zh_TW
dc.subject (關鍵詞) 潛在非線性效果zh_TW
dc.subject (關鍵詞) 限制式方法zh_TW
dc.subject (關鍵詞) formatively-measured latent variablesen_US
dc.subject (關鍵詞) latent nonlinear effectsen_US
dc.subject (關鍵詞) the constrained approachen_US
dc.title (題名) 形成性潛在變項於非線性效果之模型設定 : 限制式方法zh_TW
dc.title (題名) Model Specification for Nonlinear Effects of Formative Latent Variables: The Constrained Approachen_US
dc.type (資料類型) thesisen_US
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