4 papers
Three Properties of F-Statistics for Multiple Regression and ANOVA
Lynn R. LaMotte
This paper establishes three properties of F-statistics for inference about the mean vector in multiple regression and analysis of variance. The extra SSE due to imposing a set of…
A Formula for Type III Sums of Squares
Lynn Roy LaMotte
Type III methods were introduced by SAS to address difficulties in dummy-variable models for effects of multiple factors and covariates. They are widely used in practice; they are…
Yates's MWSM SS in the General Linear Model
Lynn Roy LaMotte
In 1934, F. Yates described a sum of squares for testing factor main effects in saturated unbalanced models for effects of two factors. He claimed no particular properties of this…
Deconstructing Type III
Lynn R. LaMotte
SAS introduced Type III methods to address difficulties in dummy-variable models for effects of multiple factors and covariates. Type III methods are widely used in practice; they…