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A Population Approach to Analysis of Variance Models
Author(s) -
Helland Inge S.
Publication year - 1998
Publication title -
scandinavian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.359
H-Index - 65
eISSN - 1467-9469
pISSN - 0303-6898
DOI - 10.1111/1467-9469.t01-1-00084
Subject(s) - mathematics , orthogonality , variance (accounting) , econometrics , independence (probability theory) , population , sample (material) , statistics , inference , natural (archaeology) , population model , mathematical economics , calculus (dental) , artificial intelligence , computer science , geography , medicine , chemistry , geometry , accounting , demography , archaeology , chromatography , dentistry , sociology , business
Several authors have contributed to what can now be considered a rather complete theory for analysis of variance in cases with orthogonal factors. By using this theory on an assumed basic reference population, the orthogonality concept gives a natural definition of independence between factors in the population. By looking upon the treated units in designed experiments as a formal sample from a future population about which we want to make inference, a natural parametrization of expectations and variances connected to such experiments arises. This approach seems to throw light upon several controversial questions in the theory of mixed models. Also, it gives a framework for discussing the choice of conditioning in models