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INTERACTION MODELS FOR THE LATIN SQUARE 1
Author(s) -
Milliken George A.,
Graybill Franklin A.
Publication year - 1972
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.1972.tb00350.x
Subject(s) - latin square , square (algebra) , interaction model , computer science , mean square , mathematics , statistics , chemistry , rumen , geometry , food science , world wide web , fermentation
This paper presents a general method for testing if a particular type of interaction is present in latin square models with one observation per cell. Computing instructions are given along with a detailed numerical example. A data analysis approach is explained where an experimenter can use various models to determine whether interaction is present. If there is interaction, then a procedure is given for examining a number of models to decide what factors (row, column, treatment) are interacting. In addition, a number of sets of latin square data from the literature are reanalysed to determine if they contain interaction.