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On the estimation of the intraclass correlation

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TLDR
In this article, the problem of estimating the intraclass correlation when the sampling design is unbalanced is discussed and the method of moments is used to derive an approximation to the distribution of the estimate of the intra-class correlation obtained by the variance components approach.
Abstract
The problem of estimating the intraclass correlation when the sampling design is unbalanced is discussed. The method of moments is used to derive an approximation to the distribution of the estimate of the intraclass correlation obtained by the variance components approach. The maximum likelihood estimator is also presented, along with a simple procedure due to Richard (1961), for numerically maximizing a likelihood function of several parameters. Finally, the issue of optimal study design is considered for both balanced and unbalanced situations. For given power we determine the number of sets required to detect different values of the intraclass correlation.

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Citations
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Journal ArticleDOI

The role of measurement reliability in clinical trials.

TL;DR: The reliability of the outcome and eligibility measurements should be reported so as to allow the authors to better describe, and readers to better understand, the sources of imprecision in study results, and those who follow to improve the design of future trials.

Reliability analysis: Calculate and Compare Intra-class Correlation Coefficients (ICC) in SAS

Li Lu, +1 more
TL;DR: A SAS macro is provided to calculate the intra-class correlation coefficient and its confidence limits and the application of the macro is demonstrated in a clinical reliability case study, and the comparison of two ICCs is discussed.

A bibliography on variance components an introduction and an update: 1984-2002

TL;DR: In particular, the study of variance through a class of linear models known as random and mixed models is a central topic in statistics with wide ramifications in both theory and applications as discussed by the authors.
Journal ArticleDOI

Linear discrimination with equicorrelated training vectors

TL;DR: In this article, a linear discrimination method is developed to be used when the training vectors are equicorrelated, and maximum likelihood ratio tests are proposed to decide whether the training samples are uncorrelated or equiceorrelated.
References
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Book

Statistical Methods for Research Workers

R. A. Fisher
TL;DR: The prime object of as discussed by the authors is to put into the hands of research workers, and especially of biologists, the means of applying statistical tests accurately to numerical data accumulated in their own laboratories or available in the literature.
Journal ArticleDOI

The estimation of intraclass correlation in the analysis of family data.

Allan Donner, +1 more
- 01 Mar 1980 - 
TL;DR: The maximum likelihood estimator of the intraclass correlation coefficient rho in samples of unequal size from a multivariate normal distribution has been derived and compared to several other estimators, using Monte Carlo simulation.

036: On a Distribution Yielding the Error Functions of Several Well Known Statistics.

R. A. Fisher
TL;DR: The importance of the normal curve has been examined in the context of the test of goodness of fit as mentioned in this paper, which is a kind of generalized test of significance, and affords an a posteriori justification of the error curves employed in other tests.
Journal ArticleDOI

The Hereditary Factor in Arterial Blood-pressure

W. E. Miall, +1 more
- 12 Jan 1963 - 
TL;DR: This report summarizes the analyses of the genetic data derived from two long-term epidemiological studies in South Wales and includes dataderived from the original " cross-sectional " surveys, and from the follow-up surveys which were undertaken four years later.
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