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Journal of Statistical Theory and Practice

, Volume 5, Issue 4, pp 613–625 | Cite as

Confidence Interval Estimation for a Difference Between Two Dependent Intraclass Correlation Coefficients With Variable Class Sizes

  • Danuta Kowalik
  • Yun-Hee Choi
  • G. Y. Zou
Article

Abstract

Four confidence intervals for a difference between two dependent intraclass correlation coefficients (ICCs) are developed, focusing on applications to family studies. The basic idea adopted here is that confidence intervals for a difference between two parameters can be obtained from confidence limits for each parameter. Among the four confidence procedures considered, the one based on the inverse hyperbolic tangent transformation for a single ICC performed best. Francis Galton’s data on human stature are used to illustrate the methodology.

AMS Subject Classification

62P10 

Key-words

Family studies Fisher’s z-transformation Heritability Interval estimation Intraclass correlation Coefficient Sib-sib correlation 

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Copyright information

© Grace Scientific Publishing 2011

Authors and Affiliations

  1. 1.Department of Epidemiology and BiostatisticsUniversity of Western OntarioLondonCanada
  2. 2.Robarts Clinical Trials, Robarts Research InstituteUniversity of Western OntarioLondonCanada
  3. 3.Department of Epidemiology and Biostatistics, School of Public HealthSoutheast UniversityNanjingPR China

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