Normalizing and variance stabilizing transformations for intraclass correlations

DOI10.1007/BF02481082zbMath0577.62053MaRDI QIDQ1065480

Sadanori Konishi

Publication date: 1985

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

intraclass correlation coefficientmaximum likelihood estimatenormalizing transformationsNumerical comparisonsvariance stabilizationrate of convergence to normalityFisher's z transformation

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Measures of association (correlation, canonical correlation, etc.) (62H20)

Related Items (14)

On optimum invariant tests of equality of intraclass correlation coefficients ⋮ Test for the equality of interclass correlation cofefficients under unequal family sizes for several populations ⋮ CONFIDENCE INTERVAL ESTIMATION FOR A DIFFERENCE BETWEEN TWO INTRACLASS CORRELATION COEFFICIENTS UNDER UNEQUAL FAMILY SIZES ⋮ Testing the equality of several intraclass correlation coefficients ⋮ Asymptotic expansions for the distribution of quadratic forms in normal variables ⋮ Normalizing transformation of Dempster type statistic in high-dimensional settings ⋮ Estimation and extrapolation of time trends in registry data -- borrowing strength from related populations ⋮ Simple moment-based inferences of generalized concordance correlation ⋮ Confidence interval estimation for a linear contrast in intraclass correlation coefficients under unequal family sizes for several populations ⋮ Functional response models for intraclass correlation coefficients ⋮ Inferences on correlation coefficients in some classes of nonnormal distributions ⋮ Normalizing and variance stabilizing transformations of multivariate statistics under an elliptical population ⋮ Modern likelihood inference for the maximum/minimum of a bivariate normal vector ⋮ A Small Sample Test for the Equality of Intraclass Correlation Coefficients Under Unequal Family Sizes for Several Populations

Cites Work

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• On the validity of the formal Edgeworth expansion
• Asymptotic properties of estimators of interclass correlation from familial data
• Transformation theory: How normal is a family of distributions?
• Asymptotic expansions for the distributions of the sample roots under nonnormality
• Normalizing transformations of some statistics in multivariate analysis
• An approximation to the distribution of the sample correlation coefficient
• Linear Statistical Inference and its Applications

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