Minimally Selected P and Other Tests for A Single Abrupt Changepoint in A Binary Sequence
- 1 December 1999
- journal article
- research article
- Published by Oxford University Press (OUP) in Biometrics
- Vol. 55 (4) , 1044-1050
- https://doi.org/10.1111/j.0006-341x.1999.01044.x
Abstract
Summary. A novel changepoint statistic based on the minimum value, over possible changepoint locations, of Fisher's Exact Test, is introduced. Specific points in the exact distribution of the minimally selected Fisher's value may be rapidly calculated as a lattice‐path counting problem via known recurrence methods. The test is compared to the Kolmogorov‐Smirnov two‐sample test, the maximally selected chi‐square, and a likelihood ratio test. The tests are applied to assessing recombination in genetic sequences of HIV.Keywords
This publication has 22 references indexed in Scilit:
- A Computer Program Designed to Screen Rapidly for HIV Type 1 Intersubtype Recombinant SequencesAIDS Research and Human Retroviruses, 1995
- On Maximally Selected Chi-Square StatisticsPublished by JSTOR ,1991
- The power of likelihood ratio and cumulative sum tests for a change in a binomial probabilityBiometrika, 1983
- Maximally Selected Chi Square Statistics for Small SamplesPublished by JSTOR ,1982
- Maximally Selected Chi Square StatisticsPublished by JSTOR ,1982
- Inference about the change-point in a sequence of binomial variablesBiometrika, 1970
- The Smirnov Two Sample Tests as Rank TestsThe Annals of Mathematical Statistics, 1969
- The Kolmogorov-Smirnov, Cramer-von Mises TestsThe Annals of Mathematical Statistics, 1957
- Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic ProcessesThe Annals of Mathematical Statistics, 1952
- On a Test of Whether one of Two Random Variables is Stochastically Larger than the OtherThe Annals of Mathematical Statistics, 1947