Smoothing analysis of variance for general designs
نویسندگان
چکیده
Hodges et al (2007) proposed smoothed analysis of variance (ANOVA) and showed how to use it to smooth interactions in balanced, single-error-term ANOVAs. Besides avoiding discontinuous choices to include or exclude effects, smoothed ANOVA addresses three practical concerns: unreplicated designs, masking in effects with many degrees of freedom, and “subgroup analysis”. The present paper extends smoothed ANOVA to general designs with multiple error terms or imbalance, although certain extensions are only possible for balanced designs. While this is presented as a Bayesian analysis, we also give a smoothed ANOVA table similar to a standard ANOVA table with degrees of freedom and sum of squares.
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