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Components of variance: a miscellany [PDF]
Statistical Methods in Medical Research, 1998 Some general issues connected with components of variance are reviewed. These include matters of definition, of formal inference in a normal-theory context, of goodness of fit, and of simple methods for unbalanced data.
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Variance components for discordances
Mathematical Biosciences, 1992Tests for biotyping isolates give a result that is classified as either positive or negative, indicative of growth or nongrowth of bacteria. The reproducibility of such tests is measured by the number of discordances in replicates of the same measurement.
C. A. McGilchrist +2 more
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Analysis of Component Variance [PDF]
Perceptual and Motor Skills, 1971 A relationship between a method of component analysis and univariate analysis of variance is presented. A data matrix consisting of Ss scores on independent variables, interaction terms, and a dependent variable is used to produce an average cross-product matrix, which in turn is “factored” by the method of triangular decomposition.
Samuel R. Pinneau, Philip B. Ender
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On estimation of variance components*
Statistica Neerlandica, 1980SummaryIn this survey paper the estimation of variance components is given. The least squares approach in variance component estimation is a unifying principle which includes the analysis of variance estimators and the MINQUE. When normality is assumed the maximum likelihood estimators can be used. Many variance component estimators are not permissible
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Nonlinear Regression With Variance Components
Journal of the American Statistical Association, 1992Abstract The nonlinear model with variance components, which combines a nonlinear model for the mean with additive random effects, is applicable to split-plot and nested experiments. We propose two methods of estimation for the parameters of the nonlinear model for the mean: (1) estimated generalized least squares (EGLS), and (2) maximum likelihood ...
Marcia L. Gumpertz, Sastry G. Pantula
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Variance components testing in the longitudinal mixed effects model.
Biometrics, 1994This article discusses the asymptotic behavior of likelihood ratio tests for nonzero variance components in the longitudinal mixed effects linear model described by Laird and Ware (1982, Biometrics 38, 963-974).
D. Stram, Jae Won Lee
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Monitoring Variance Components
Technometrics, 1994This article discusses methods for monitoring a process in which the variance of the measurements is attributed to several known sources of variability. For example, in the case of integrated circuit fabrication one is typically interested in monitoring the process mean as well as the lot-to-lot, wafer-to-wafer-within-lot, and within-wafer components ...
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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.
Patricia J. Solomon, David Cox
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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).
Comstock Re, Robinson Hf
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