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Nonparametric inference inn replicated 2m factorial expriments

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Abstract

For experiments involvingm factors (A 1,…,A m), each at 2 levels (1, 2), and replicated inn(≧2) blocks, a class of nonparametric procedures for estimating and testing the various main effects and interactions are considered. The procedures are based on a simple alignment process and involve the use of some well known rank statistics. Their performance characteristics are compared with those of the standard (normal-theory) parametric procedures. Extensions to confounded or partially confounded designs are also considered.

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Authors and Affiliations

  1. University of North Carolina, Chapel Hill

    Pranab Kumar Sen

Authors
  1. Pranab Kumar Sen
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Additional information

Work supported by the Army Research Office, Durham, Grant DA-ARO-D-31-124-G-746, and presented at the 37th session of the International Statistical Institute, held at London, U.K., during September 3–11, 1969.

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Sen, P.K. Nonparametric inference inn replicated 2m factorial expriments. Ann Inst Stat Math 22, 281–294 (1970). https://doi.org/10.1007/BF02506344

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  • DOI: https://doi.org/10.1007/BF02506344

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