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...Coding matrices contrast andlinearmodels bill venables contents introduction sometheory transformation to new parameters and averaging vectors choosing the orthogonal contrasts examples control versus treatments trtrt t tr difference deviation trs helmertcontrasts rt thedoubleclassification incidence transformations of mean modelmatrices synopsisandhigherwayextensions thegenotypeexample continued references are essentially a convenience for fitting linear models that involve factor predictors large extent they arbitrary choice matrix fac tors should not normally affect any substantive aspect analysis nevertheless some users become very confused about this marginal role morepertinently with variance tables do respect marginality prin ciple used matter as define hypotheses implicitly being tested in case it is clearly vital be clear on how works my first attempt explain working was edition ripley brief neither co author or i could lieve serious issue most people seems we were wrong follo...