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A RANDOMIZATION PROBLEM IN FORMING DESIGNS WITH SUPERIMPOSED TREATMENTS 1
Author(s) -
Preece D. A.,
Bailey R. A.,
Patterson H. D.
Publication year - 1978
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1978.tb01297.x
Subject(s) - randomization , superimposition , set (abstract data type) , latin square , computer science , mathematics , algorithm , artificial intelligence , randomized controlled trial , medicine , programming language , rumen , chemistry , surgery , food science , fermentation
Abstract Some programmes of experimentation require the superimposition of a new set of treatments on an existing experiment. Randomization of such treatments has received little attention in the literature but merits careful consideration. The present paper examines two apparently different theoretical approaches, one in effect randomizing the experiments together and the other randomizing the second experiment without reference to any randomization used in the first. In the simplest superimpositions the two methods give identical results in practice but problems arise when one Latin square is to be superimposed on another.