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Minimally Selected P and Other Tests for A Single Abrupt Changepoint in A Binary Sequence
Author(s) -
Halpern Aaron L.
Publication year - 1999
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.0006-341x.1999.01044.x
Subject(s) - binary number , sequence (biology) , statistics , mathematics , pseudorandom binary sequence , computer science , arithmetic , biology , genetics
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.