Fitting Additive Models to Unbalanced Two-Way Data

Donald B. Rubin, T. W. F. Stroud and Dorothy T. Thayer

Journal of Educational and Behavioral Statistics, 1981, vol. 6, issue 2, 153-178

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: ANOVA; Analysis of Covariance; Unbalanced Two-Way Way Data; Additive Least Squares Fit; MANOVA (search for similar items in EconPapers)
Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:6:y:1981:i:2:p:153-178

DOI: 10.3102/10769986006002153

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