A note on the unbiased estimation of the intraclass correlation

John R. Donoghue, Linda Marie Collins

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The intraclass correlation, ρ, is a parameter featured in much psychological research. Two commonly used estimators of ρ, the maximum likelihood and least squares estimators, are known to be negatively biased. Olkin and Pratt (1958) derived the minimum variance unbiased estimator of the intraclass correlation, but use of this estimator has apparently been impeded by the lack of a closed form solution. This note briefly reviews the unbiased estimator and gives a FORTRAN 77 subroutine to calculate it.

Original languageEnglish (US)
Pages (from-to)159-164
Number of pages6
JournalPsychometrika
Volume55
Issue number1
DOIs
StatePublished - Mar 1 1990

Fingerprint

Intraclass Correlation
Unbiased Estimation
Subroutines
Least-Squares Analysis
D.3.2 [Programming Languages]: Language Classifications - Fortran
Maximum likelihood
Minimum Variance Unbiased Estimator
Psychology
Estimator
Unbiased estimator
Least Squares Estimator
Closed-form Solution
Research
Biased
Maximum Likelihood
Calculate
lack
Review

All Science Journal Classification (ASJC) codes

  • Social Sciences (miscellaneous)
  • Psychology (miscellaneous)
  • Psychology(all)
  • Mathematics (miscellaneous)

Cite this

@article{5be425a4bc1843e8bfb5cef13ccd3124,
title = "A note on the unbiased estimation of the intraclass correlation",
abstract = "The intraclass correlation, ρ, is a parameter featured in much psychological research. Two commonly used estimators of ρ, the maximum likelihood and least squares estimators, are known to be negatively biased. Olkin and Pratt (1958) derived the minimum variance unbiased estimator of the intraclass correlation, but use of this estimator has apparently been impeded by the lack of a closed form solution. This note briefly reviews the unbiased estimator and gives a FORTRAN 77 subroutine to calculate it.",
author = "Donoghue, {John R.} and Collins, {Linda Marie}",
year = "1990",
month = "3",
day = "1",
doi = "10.1007/BF02294749",
language = "English (US)",
volume = "55",
pages = "159--164",
journal = "Psychometrika",
issn = "0033-3123",
publisher = "Springer New York",
number = "1",

}

A note on the unbiased estimation of the intraclass correlation. / Donoghue, John R.; Collins, Linda Marie.

In: Psychometrika, Vol. 55, No. 1, 01.03.1990, p. 159-164.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A note on the unbiased estimation of the intraclass correlation

AU - Donoghue, John R.

AU - Collins, Linda Marie

PY - 1990/3/1

Y1 - 1990/3/1

N2 - The intraclass correlation, ρ, is a parameter featured in much psychological research. Two commonly used estimators of ρ, the maximum likelihood and least squares estimators, are known to be negatively biased. Olkin and Pratt (1958) derived the minimum variance unbiased estimator of the intraclass correlation, but use of this estimator has apparently been impeded by the lack of a closed form solution. This note briefly reviews the unbiased estimator and gives a FORTRAN 77 subroutine to calculate it.

AB - The intraclass correlation, ρ, is a parameter featured in much psychological research. Two commonly used estimators of ρ, the maximum likelihood and least squares estimators, are known to be negatively biased. Olkin and Pratt (1958) derived the minimum variance unbiased estimator of the intraclass correlation, but use of this estimator has apparently been impeded by the lack of a closed form solution. This note briefly reviews the unbiased estimator and gives a FORTRAN 77 subroutine to calculate it.

UR - http://www.scopus.com/inward/record.url?scp=11544341608&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=11544341608&partnerID=8YFLogxK

U2 - 10.1007/BF02294749

DO - 10.1007/BF02294749

M3 - Article

AN - SCOPUS:11544341608

VL - 55

SP - 159

EP - 164

JO - Psychometrika

JF - Psychometrika

SN - 0033-3123

IS - 1

ER -