March 2018
Beginner
688 pages
17h 32m
English
Content preview from Mathematical Statistics
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7Analysis of Variance – Models with Finite Level Populations and Mixed Models
In the present chapter we consider models with factor levels from a finite population of factor levels, or as we call them in short ‘finite level populations’. Covering at least in the case of equal subclass numbers, model I and model II of the analysis of variance (ANOVA) as special cases. Even the mixed models, also introduced in this chapter, are limiting cases of models with finite level populations.
In mixed models as well, problems of variance component estimation and also of estimating and testing fixed effects occur. In Section 7.3, some special methods are presented, which are demonstrated for some special cases in Section 7.4.
7.1 Introduction: Models with Finite Level Populations
Models with finite level populations are of interest because we meet practical situations where the selection of factor levels covers a finite number of levels but not all levels in a population with a finite number of levels and further because other models are special or limiting cases of such models.
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