On estimating the interaction component of variance from unbalanced data ^†

^†Contribution No. 273-E Agricultural Research Organization, Israel

Abstract

Simple explicit formulae are given for the direct computation of variance component estimates for interaction in the general unbalanced case, by Henderson's Method 3, under two different restriction sets imposed on the parameters. Generalizations are considered for the presence of empty cells, and for higher order interactions. Simple rules are given for the incorporation of this estimation method into existing general computer programs

Keywords:

• Components of variance
• nonorthogonal Anova
• interaction
• estimation based on method of fitting constants

^†Contribution No. 273-E Agricultural Research Organization, Israel

^†Presently on leave at Department of Statistics. University of Waterloo, Waterloo, Ontario N2L 3G1. Canada

^†Contribution No. 273-E Agricultural Research Organization, Israel

^†Presently on leave at Department of Statistics. University of Waterloo, Waterloo, Ontario N2L 3G1. Canada

Notes

^†Contribution No. 273-E Agricultural Research Organization, Israel

^†Presently on leave at Department of Statistics. University of Waterloo, Waterloo, Ontario N2L 3G1. Canada