Document Detail

Continued fraction representation for expected cell counts of a 2 x 2 table: a rapid and exact method for conditional maximum likelihood estimation.
MedLine Citation:
PMID:  2350569     Owner:  NLM     Status:  MEDLINE    
The expected cell count for a 2 x 2 contingency table, governed by the noncentral (extended) hypergeometric distribution, is expressed as a terminating continued fraction. The coefficients in the continued fraction are better behaved than the multinomial coefficients required for the usual moment calculation. The expected cell count must be calculated repeatedly in a conditional maximum likelihood analysis of K2 x 2 contingency tables. Since the continued fraction can be easily evaluated, a rapid and numerically stable computational algorithm results. Once this first moment is known, higher moments can be obtained as shown by Harkness (1965, Annals of Mathematical Statistics 36, 938-945). A BASIC program to implement the continued fraction algorithm is given in an appendix.
G A Satten; L L Kupper
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Publication Detail:
Type:  Journal Article; Research Support, U.S. Gov't, P.H.S.    
Journal Detail:
Title:  Biometrics     Volume:  46     ISSN:  0006-341X     ISO Abbreviation:  Biometrics     Publication Date:  1990 Mar 
Date Detail:
Created Date:  1990-07-13     Completed Date:  1990-07-13     Revised Date:  2007-11-14    
Medline Journal Info:
Nlm Unique ID:  0370625     Medline TA:  Biometrics     Country:  UNITED STATES    
Other Details:
Languages:  eng     Pagination:  217-23     Citation Subset:  IM    
Department of Biostatistics, School of Public Health, University of North Carolina, Chapel Hill 27599-7400.
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MeSH Terms
Cell Count*
Likelihood Functions*
Models, Statistical
Odds Ratio
Grant Support

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