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Original Paper

A Statistically Valid Alternative to the TDT

Wittkowski K.M.a · Liu X.b

Author affiliations

aGeneral Clinical Research Center, bLaboratory of Statistical Genetics, The Rockefeller University, New York, N.Y., USA

Related Articles for ""

Hum Hered 2002;54:157–164

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Article / Publication Details

First-Page Preview
Abstract of Original Paper

Received: May 10, 2002
Accepted: January 14, 2003
Published online: March 19, 2003
Issue release date: March 2003

Number of Print Pages: 8
Number of Figures: 4
Number of Tables: 2

ISSN: 0001-5652 (Print)
eISSN: 1423-0062 (Online)

For additional information: http://www.karger.com/HHE

Abstract

Objective: To present an alternative linkage test to the transmission/disequilibrium test (TDT) which is conservative under the null hypothesis and generally more powerful under alternatives. Methods: The exact distribution of the TDT is examined under both the null hypothesis and relevant alternatives. The TDT is rewritten in an alternate form based on the contributions from each of the three relevant parental mating types. This makes it possible to show that a particular term in the estimate is an exact tie and thus to rewrite the estimate without this term and to replace the multinomial ‘variance estimate’ of Spielman et al. [Am J Hum Genet 1993;52:506–516] by the binomial variance. Results: The resulting test is shown to be a stratified McNemar test (SMN). The significance level attained by the SMN is shown to be conservative when compared to the asymptotic χ2 distribution, while the TDT often exceeds the nominal level α. Under alternatives, the proposed test is shown to be typically more powerful than the TDT. Conclusion: The properties of the TDT as a statistical test have never been fully investigated. The proposed test replaces the heuristically motivated TDT by a formally derived test, which is also computationally simple.

© 2002 S. Karger AG, Basel


Article / Publication Details

First-Page Preview
Abstract of Original Paper

Received: May 10, 2002
Accepted: January 14, 2003
Published online: March 19, 2003
Issue release date: March 2003

Number of Print Pages: 8
Number of Figures: 4
Number of Tables: 2

ISSN: 0001-5652 (Print)
eISSN: 1423-0062 (Online)

For additional information: http://www.karger.com/HHE


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