The Effect of Correlation on the Repeated-Measurements Design,

Abstract

The purpose of this paper is to point out that: (a) any repeated measurements on the same organism will in general exhibit statistical dependence; therefore multivariate analysis of variance rather than univariate analysis of variance is appropriate, and (b) multivariate analysis of variance assumes that the carryover effect of a treatment or a test on succeeding treatments is constant and does not depend on the nature of the succeeding treatment, i.e., carryover is additive and does not interact with succeeding treatments. Most of this paper is concerned with possible experimental and statistical answers to the questions which arise when dependent measures are used in a continuous treatment design. The problem of carryover effects that interact with subsequent treatments is quite different. No answers to this problem are given here; instead we ask if there is, in fact, any way of preserving the advantages of a cross-over design and obtaining unbiased estimates of the treatment effects when carry-over interaction is present.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1961
Accession Number
ADA074100

Entities

People

  • Ardie Lubin

Organizations

  • Walter Reed Army Institute of Research

Tags

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Cardiovascular Physiological Phenomena
  • Coefficients
  • Data Science
  • Demography
  • Information Science
  • Measurement
  • Multivariate Analysis
  • New York
  • Normality
  • Permutations
  • Reaction Time
  • Statistical Analysis
  • Statistical Tests
  • Statistics
  • Steady State
  • Surveys

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Systems Analysis and Design