A method for comparing two normal means using combined samples of correlated and uncorrelated data

Stephen W. Looney, Peter W. Jones

Research output: Contribution to journalArticle

23 Scopus citations

Abstract

A method is proposed for comparing two normal means when the data consist of some observations that are correlated and others that are uncorrelated. Typically, such data will consist of one subsample in which the observations for treatment 1 and treatment 2 are independent of each other, and another subsample which consists of paired observations taken under both treatments. The proposed method is developed using asymptotic results and is evaluated using simulation. The simulation results indicate that the proposed method can provide substantial improvement in type I error rate and power when compared with standard methods of analysis.

Original languageEnglish (US)
Pages (from-to)1601-1610
Number of pages10
JournalStatistics in Medicine
Volume22
Issue number9
DOIs
StatePublished - May 15 2003
Externally publishedYes

Keywords

  • Independence
  • Paired t-test
  • Power
  • Simulation
  • Two-sample problem
  • t-test

ASJC Scopus subject areas

  • Epidemiology
  • Statistics and Probability

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