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Journal of Statistical Theory and Practice

, Volume 9, Issue 3, pp 524–536 | Cite as

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

  • D. J. Best
  • J. C. W. Rayner
Article

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.

Keywords

Analysis of variance Mid-ranks Ordered alternatives Orthogonal trend analysis Randomized blocks Size and power study 

AMS Subject Classification

62G10 62G86 

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References

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Copyright information

© Grace Scientific Publishing 2015

Authors and Affiliations

  1. 1.School of Mathematical and Physical Sciences, Faculty of Science and Information TechnologyUniversity of NewcastleCallaghanAustralia
  2. 2.Centre for Statistical and Survey Methodology, School of Mathematics and Applied StatisticsUniversity of WollongongWollongongAustralia

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