Korea Rural Economic Institue

KREI OA 정책 KREI 전자도서관

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초록: The purpose of the present study is to investigate the analytical structure of the multi-level model, which is also called to hierarchical model, random coefficient model etc. Although interests on the multi-level model are recently increasing in natural sciences as well as social sciences, the accurate understanding of the analytical structure of the model has never been dealt with. This analytical paper constructs five analytical questions and derives diverse ways to reach the answers for each question. The present study also argues that the multi-level model provides a powerful tool for analysis of the data within which the number of observations varies.

The purpose of the present study is to investigate the analytical structure of the multi-level model, which is also called to hierarchical model, random coefficient model etc. Although interests on the multi-level model are recently increasing in natural sciences as well as social sciences, the accurate understanding of the analytical structure of the model has never been dealt with. This analytical paper constructs five analytical questions and derives diverse ways to reach the answers for each question. The present study also argues that the multi-level model provides a powerful tool for analysis of the data within which the number of observations varies.

목차: I. Introduction
II. Theoretical Concerns
III. General Structure of Multi-level Model
Ⅳ. Distributions in Known Covariance Matrices
V. Distributions in Unknown Covariance Matrices
Ⅵ. Methods for Testing Some Null Hypotheses
Ⅶ. Solution for Heteroscedasticity of Unknown Form
Ⅷ. Calculation of Upper-level Expectation in Logit Model
Ⅸ. Conclusions

주제어: Multi-level Model; Random Coefficient; Covariance Matrix; Heteroscedasticity; Multi-level Model; Random Coefficient; Covariance Matrix; Heteroscedasticity