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Nonlinear Component of Variance Models
Biometrika, 1992SUMMARY General aspects of nonlinearity in the context of component of variance models are discussed, and two special topics are examined in detail. Firstly, simple procedures, both formal and informal, are proposed for describing departures from normal-theory linear models.
Solomon, P. J., Cox, D. R.
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Consistency of Estimates of Variance Components
Biometrics, 1951THE ESTIMATION OF VARIANCE COMPONENTS has important applications in genetic research, and geneticists were among the first to use analysis of variance extensively for that purpose. Early examples of component estimation in genetics are contained in papers by Lush et al. (1934), Bywaters (1937), and Stonaker and Lush (1942).
R E, COMSTOCK, H F, ROBINSON
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Variance components of gingival thickness
Journal of Periodontal Research, 2005Objectives: Distinct periodontal phenotypes have been identified by cluster analysis, which is an explorative method with very low external validity. The aim of the present study was to investigate variance components of facial gingival thickness in young adults with mild gingivitis.Material and methods: Thirty‐three non‐smoking females, 18–23 years ...
H P, Müller, E, Könönen
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A Note on Variances in the Components of Variance Model
The American Statistician, 1971In a components of variance model the variance of individual observations and of various averages of observations are shown to be dependent upon the design-that is, upon the sampling scheme. For example, using the usual notation, for the nested random model yij = iA+ ri + eJ(i), i = 1, 2, . . . I, and j = 1 2, ... J, Var(ysi) = [(I 1)J/(IJ 1)]a2 + a2e.
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Variance-Importance of System Components
IEEE Transactions on Reliability, 1982The paper defines the variance-importance of a component as the product of a relative sensitivity coefficient of component variance and the variance of component-unreliability estimate. Variance-importance is useful for identifying components that appreciably contribute to the uncertainty of system unreliability.
Nakashima, Kyoichi, Yamato, Kazuharu
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1981
So far, the examples of analysis-of-variance problems that we have considered all fall within the scope of what we call the ‘fixed effects’ analysis, or the ‘model I’ situation. In these problems the questions being asked are questions about contrasts of sets of means.
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So far, the examples of analysis-of-variance problems that we have considered all fall within the scope of what we call the ‘fixed effects’ analysis, or the ‘model I’ situation. In these problems the questions being asked are questions about contrasts of sets of means.
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Exact Tests for Variance Components
Biometrics, 1996Summary: \textit{J. Öfversten} [ibid. 49, No. 1, 45-57 (1993; Zbl 0771.62053)] presented two kinds of exact \(F\)-tests for variance components in unbalanced mixed linear models. Specifically, methods were developed for models with one random factor, nested classifications, and models with interaction between random factors.
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Variance Components and Disconnected Data
Biometrics, 1978Summary It has been suggested that disconnected data pose problems in variance component estimation and that the dlscarding of certain sections of a data set is a possible solution. In contrast, it is shown in this paper that estimators of variance components can be derived from disconnected data by applying Henderson's Method III without modification.
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