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An Alternative to Page’s Test Permitting Both Tied and Missing Data

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Abstract

Data consisting of ranks within blocks are considered for randomized complete block layouts where treatment effects are expected to be ordered. Ranks with and without ties are considered, as well as missing values. A small indicative test size study indicates both a new test and the Page test, modified by Thas et al. (2012) to easily permit ties, perform well. An advantage of the new test is that it can be easily applied to data with missing values. Three real examples are given. One of these illustrates a quadratic trend test. Comparisons between the new test and the Alvo and Cabilio (1995) extended Page test for missing values are given.

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Authors and Affiliations

  1. School of Mathematical and Physical Sciences, Faculty of Science and Information Technology, University of Newcastle, Callaghan, New South Wales, 2308, Australia

    D. J. Best &  J. C. W. Rayner

  2. Centre for Statistical and Survey Methodology, School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, New South Wales, Australia

    J. C. W. Rayner

Authors
  1. D. J. Best
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  2. J. C. W. Rayner
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Correspondence to J. C. W. Rayner.

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Best, D.J., Rayner, J.C.W. An Alternative to Page’s Test Permitting Both Tied and Missing Data. J Stat Theory Pract 9, 524–536 (2015). https://doi.org/10.1080/15598608.2014.940098

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  • DOI: https://doi.org/10.1080/15598608.2014.940098

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