Fitting Additive Models to Unbalanced Two-Way Data
- 1 June 1981
- journal article
- Published by American Educational Research Association (AERA) in Journal of Educational Statistics
- Vol. 6 (2) , 153-178
- https://doi.org/10.3102/10769986006002153
Abstract
A time-saving and space-saving algorithm is presented for computing the sums of squares and estimated cell means under the additive model in a two-way analysis of variance or co-variance with unequal numbers of observations in the cells. The algorithm uses matrices of order no larger than min{r,c}, where r = number of rows and c = number of columns. A Fortran program is available; the key computational device is a special subroutine, LS2WAY, whose FORTRAN code appears in Rubin, Stroud & Thayer (1978) . The procedure is illustrated using high school and college numerical grade averages for 85 feeder high schools over a period of 6 years.Keywords
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