Browse > Article
http://dx.doi.org/10.7465/jkdi.2015.26.2.347

Projection analysis for balanced incomplete block designs  

Choi, Jaesung (Department of Statistics, Keimyung University)
Publication Information
Journal of the Korean Data and Information Science Society / v.26, no.2, 2015 , pp. 347-354 More about this Journal
Abstract
This paper deals with a method for intrablock anlaysis of balanced incomplete block designs on the basis of projections under the assumption of mixed effects model. It shows how to construct a model at each step by the stepwise procedure and discusses how to use projection for the analysis of intrablock. Projections are obtained in vector subspaces orthogonal to each other. So the estimates of the treatment effects are not affected by the block effects. The estimability of a parameter or a function of parameters is discussed and eigenvectors are dealt for the construction of estimable functions.
Keywords
Eigenvectors; estimability; intrablock analysis; projection; stepwise procedure;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 Choi, J. S. (2011). Type I analysis by projections. The Korean Journal of Applied Statistics, 24, 373−381.   DOI   ScienceOn
2 Choi, J. S. (2012). Type II analysis by projections. Journal of the Korean Data & Information Science Society, 23, 1155-1163.   DOI   ScienceOn
3 Choi, J. S. (2014). Projection analysis for two-way variance components. Journal of the Korean Data & Information Science Society, 23, 547-554.
4 Cochran, W. G. and Cox, G. M. (1957). Experimental designs, John Wiley and Sons, Inc., New York.
5 Davies, O. L. (1956). Design and analysis of industrial esperiments, Second edition, Hafner Publishing Company, New York.
6 Graybill, F. A. (1976). Theory and application of the linear model, Wadsworth, Inc., California.
7 Hicks, C. R. (1973). Fundamental concepts in the design of experiments, Holt, Rinehart and Winston, Inc., New York.
8 John, P.W. M. (1971). Statistical design and analysis of experiments, The Macmillan Company, New York.
9 Milliken, G. A. and Johnson, D. E. (1984). Analysis of messy data, Van Nostrand Reinhold, New York.
10 Montgomery, D. C. (1976). Design and analysis of experiments, John Wiley and Sons, Inc., New York.
11 Searle, S. R., Casella, G. and McCulloch, C. E. (1971). Linear models, John Wiley and Sons, Inc., New York.
12 Yates, F. (1936). Incomplete randomized blocks. Annals of Eugenics, 7, 121-140.   DOI