A Statistical Test of the Hypothesis that Polyclonal Intestinal Tumors Arise by Random Collision of Initiated Clones | Zendy

Newton Michael A. | Zendy; Clipson Linda | Zendy; Thliveris Andrew T. | Zendy; Halberg Richard B. | Zendy

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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.

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