Using Ordinary Least Squares Software to Compute Combined Intra-Interblock Estimates of Treatment Contrasts
- 1 May 1986
- journal article
- research article
- Published by Taylor & Francis in The American Statistician
- Vol. 40 (2) , 153-157
- https://doi.org/10.1080/00031305.1986.10475382
Abstract
Consideration is given to the computational aspects of the analysis of data from a comparative study, involving two or more treatments, in which the experimental units are arranged in b blocks. It may seem desirable, in making inferences about treatment contrasts, to carry out a combined intra-interblock analysis. Practitioners are sometimes reluctant to employ this analysis because of the computational requirements, which they regard as severe, and because they may not have ready access to directly applicable computer software. It is shown that by augmenting the actual data with b pseudo-observations, all of the computations can be accomplished efficiently, using only ordinary least squares software.Keywords
This publication has 5 references indexed in Scilit:
- Approximations for Standard Errors of Estimators of Fixed and Random Effects in Mixed Linear ModelsJournal of the American Statistical Association, 1984
- Unbiasedness of two-stage estimation and prediction procedures for mixed linear modelsCommunications in Statistics - Theory and Methods, 1981
- Some Useful Representations for Constrained Mixed-Model EstimationJournal of the American Statistical Association, 1979
- Maximum Likelihood Approaches to Variance Component Estimation and to Related ProblemsJournal of the American Statistical Association, 1977
- Estimation of Variance and Covariance ComponentsBiometrics, 1953