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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국통계학회 CSAM(Communications for Statistical Applications and Methods) CSAM(Communications for Statistical Applications and Methods) 제26권 제4호
- 발행연도
- 2019.7
- 수록면
- 337 - 346 (10page)
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초록· 키워드
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This paper discusses a method for obtaining nonnegative estimates for variance components in a random effects model. A variance component should be positive by definition. Nevertheless, estimates of variance components are sometimes given as negative values, which is not desirable. The proposed method is based on two basic ideas. One is the identification of the orthogonal vector subspaces according to factors and the other is to ascertain the projection in each orthogonal vector subspace. Hence, an observation vector can be denoted by the sum of projections. The method suggested here always produces nonnegative estimates using projections. Hartley’s synthesis is used for the calculation of expected values of quadratic forms. It also discusses how to set up a residual model for each projection.
목차
Abstract
1. Introduction
2. Data and model
3. Projection method
4. Expectations of quadratic forms
5. Example
6. Conclusion
References
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