Abstract #301868


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JSM 2002 Abstract #301868
Activity Number: 15
Type: Contributed
Date/Time: Sunday, August 11, 2002 : 2:00 PM to 3:50 PM
Sponsor: ENAR
Abstract - #301868
Title: Bio-informatics Analysis in Dichotomous Genetic Marker Information
Author(s): Kuang-Ho Chen*+
Affiliation(s): National Taiwan University
Address: Room 1540, Basic Med. Bld. 1, Sec 1 Jen-Ai Road, Taipei, International, 100, Taiwan
Keywords: exact logistic regression ; existence with binomial maximum likelihood ; screenout non-informative genetic markers ; mathematical screen-out ; statistical inference for screen-in ; huge data small samples
Abstract:

Any available number T of tumor tissues is very small in comparing with the number G of genetic markers, T < < G. A mechanism is in demand that would screen out non-informative information generated from the genetic markers. Among others, the LR (logistic regression) with maximum binomial likelihood (MBL) is recommended, because the proposed necessary and sufficient existence condition for K binary explanatory variables is that none is 0 for the 2C summarized statistical counts, where C is 2 to the power of K. For K pieces of dichotomous information generated from G genetic markers, C could be as large as 2 to the power of L, where L is 2 to the power of K after counting on all levels of interactions. The proof of the critical condition is simple and affords the constructing procedure of the exact coefficients to be in closed form for K=1 and direct numerical iteration for K > 1. The proposed procedure of exact logistic regression with MBL (XLRMBL) jointed with the procedure for conditional probability of Fisher exact test (CPFXT) ascertains the function of a genetic marker in clinics or pathological diagnosis.


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