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A Statistical Test of the Hypothesis that Polyclonal Intestinal Tumors Arise by Random Collision of Initiated Clones
Author(s) -
Newton Michael A.,
Clipson Linda,
Thliveris Andrew T.,
Halberg Richard B.
Publication year - 2006
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.1541-0420.2006.00522.x
Subject(s) - collision , polyclonal antibodies , statistical hypothesis testing , test (biology) , statistical analysis , statistics , mathematics , biology , computational biology , computer science , genetics , programming language , ecology , antigen
Summary The random collision hypothesis is a mathematical idealization of intestinal tumor formation that can account for the polyclonal origin of tumors without requiring a mechanistic description of clonal interaction. Using data from recent polyclonality studies in mice, we develop a statistical procedure to test the random collision hypothesis. Elements from stochastic geometry and approximations due to Armitage (1949, Biometrika 36, 257–266) support a statistical model of tumor count data. Bayesian analysis yields the posterior distribution of the number of heterotypic tumors, from which p ‐values are computed to test random collision.