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Biometrika 1971 58(3):545-554; doi:10.1093/biomet/58.3.545
© 1971 by Biometrika Trust
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Recovery of inter-block information when block sizes are unequal

H. D. PATTERSON and R. THOMPSON

University of Edinburgh

A method is proposed for estimating intra-block and inter-blook weights in the analysis of incomplete block designs with block sizes not necessarily equal. The method consists of maximizing the likelihood, not of all the data, but of a set of selected error contrasts. When block sizes are equal results are identical with those obtained by the method of Nelder (1968) for generally balanced designs. Although mainly concerned with incomplete block designs the paper also gives in outline an extension of the modified maximum likelihood procedure to designs with a more complicated block structure.

Key Words: Analysis of incomplete block designs • Components of variance • Designs with unequal block sizes • Recovery of inter-block information • Maximum likelihood


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Genetics, July 1, 1998; 149(3): 1605 - 1614.
[Abstract] [Full Text] [PDF]


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Stat Methods Med ResHome page
D R Cox
Components of variance: a miscellany
Statistical Methods in Medical Research, February 1, 1998; 7(1): 3 - 12.
[Abstract] [PDF]


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GeneticsHome page
Mapping Quantitative Trait Loci Using Multiple Families of Line Crosses
Genetics, January 1, 1998; 148(1): 517 - 524.



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Geological Society, London, Special PublicationsHome page
I. O. Jumba, N. F. Suttle, E. A. Hunter, and S. O. Wandiga
Effects of botanical composition, soil origin and composition on mineral concentrations in dry season pastures in western Kenya
Geological Society, London, Special Publications, January 1, 1996; 113(1): 39 - 45.
[Abstract] [PDF]


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JOURNAL OF EDUCATIONAL AND BEHAVIORAL STATISTICSHome page
J. Rasbash and H. Goldstein
Efficient Analysis of Mixed Hierarchical and Cross-Classified Random Structures Using a Multilevel Model
Journal of Educational and Behavioral Statistics, January 1, 1994; 19(4): 337 - 350.
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JOURNAL OF EDUCATIONAL AND BEHAVIORAL STATISTICSHome page
S. W. Raudenbush
A Crossed Random Effects Model for Unbalanced Data With Applications in Cross-Sectional and Longitudinal Research
Journal of Educational and Behavioral Statistics, January 1, 1993; 18(4): 321 - 349.
[Abstract] [PDF]


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Stat Methods Med ResHome page
G. Dunn
Review papers : Design and analysis of reliability studies
Statistical Methods in Medical Research, August 1, 1992; 1(2): 123 - 157.
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JOURNAL OF EDUCATIONAL AND BEHAVIORAL STATISTICSHome page
S. W. Raudenbush
Educational Applications of Hierarchical Linear Models: A Review
Journal of Educational and Behavioral Statistics, January 1, 1988; 13(2): 85 - 116.
[Abstract] [PDF]



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