On some selection procedures in two-way layouts

Abstract

where # is the mean-effect, i l l , . . . , fin are the block effects (nuisance parameters for the f ixed effects model or random variables for the mixed effects model), q, .. . , zc are the treatments effects, and the e~, are the error components. It is assumed that n, = (el,, . . . , e J , e 1 . . . . , n are independent and identically distributed stochastic vectors with a continuous cumulative distribution function (cdf) F(~), ~ R c (the real c space), where F(~) is symmetric in its c arguments, that is, for any ~ R c and any permutat ion (il, . . . , ic) of (1, .. . , c)