scholarly journals Power approximation of the transmission disequilibrium test

2012 ◽  
Vol 53 ◽  
Author(s):  
Šarūnas Germanas ◽  
Audronė Jakaitienė
Keyword(s):  
Sample Size ◽  
Poisson Distribution ◽  
Transmission Disequilibrium Test ◽  
Normal Approximation ◽  
Poisson Approximation ◽  
Transmission Disequilibrium ◽  
Power Approximation ◽  
Allele Transmission

In this paper we apply Poisson distribution in order to approximate the power of the Transmission Disequilibrium Test (TDT). In this research we calculated the power of the TDT for different values of sample size n and different values of allele transmission frequencies p. The research showed that Poisson approximation have smaller errors than Normal approximation when the power is between 0.8 and 0.95 and sample size m is equal or bigger than 50.

Transmission Disequilibrium Test Power and Sample Size in the Presence of Locus Heterogeneity

2009 ◽  
Vol 8 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Chuanwen Chen ◽  
Guang Yang ◽  
Steven Buyske ◽  
Tara Matise ◽  
Stephen J Finch ◽  
...  
Keyword(s):  
Sample Size ◽  
Transmission Disequilibrium Test ◽  
Test Power ◽  
Locus Heterogeneity ◽  
Transmission Disequilibrium

scholarly journals Analytic power and sample size calculation for the genotypic transmission/disequilibrium test in case-parent trio studies

2014 ◽  
Vol 56 (6) ◽  
pp. 1076-1092 ◽  
Author(s):  
Christoph Neumann ◽  
Margaret A. Taub ◽  
Samuel G. Younkin ◽  
Terri H. Beaty ◽  
Ingo Ruczinski ◽  
...  
Keyword(s):  
Sample Size ◽  
Transmission Disequilibrium Test ◽  
Sample Size Calculation ◽  
Transmission Disequilibrium

A Note on the Accuracy of Normal Approximation of Random Quantities

2021 ◽  
Vol 73 (1) ◽  
pp. 62-67
Author(s):  
Ibrahim A. Ahmad ◽  
A. R. Mugdadi
Keyword(s):  
Sample Size ◽  
Order Statistic ◽  
Normal Approximation ◽  
Order Approximation ◽  
Random Variables ◽  
Random Variable ◽  
Limiting Distribution ◽  
Exact Order ◽  
Fixed Sample ◽  
Independent Identically Distributed

For a sequence of independent, identically distributed random variable (iid rv's) [Formula: see text] and a sequence of integer-valued random variables [Formula: see text], define the random quantiles as [Formula: see text], where [Formula: see text] denote the largest integer less than or equal to [Formula: see text], and [Formula: see text] the [Formula: see text]th order statistic in a sample [Formula: see text] and [Formula: see text]. In this note, the limiting distribution and its exact order approximation are obtained for [Formula: see text]. The limiting distribution result we obtain extends the work of several including Wretman[Formula: see text]. The exact order of normal approximation generalizes the fixed sample size results of Reiss[Formula: see text]. AMS 2000 subject classification: 60F12; 60F05; 62G30.

scholarly journals Rare-Variant Extensions of the Transmission Disequilibrium Test: Application to Autism Exome Sequence Data

2014 ◽  
Vol 94 (1) ◽  
pp. 33-46 ◽  
Author(s):  
Zongxiao He ◽  
Brian J. O’Roak ◽  
Joshua D. Smith ◽  
Gao Wang ◽  
Stanley Hooker ◽  
...  
Keyword(s):  
Rare Variant ◽  
Transmission Disequilibrium Test ◽  
Sequence Data ◽  
Transmission Disequilibrium ◽  
Exome Sequence Data ◽  
Test Application ◽  
Exome Sequence

An entropy-based genome-wide transmission/disequilibrium test

2007 ◽  
Vol 121 (3-4) ◽  
pp. 357-367 ◽  
Author(s):  
Jinying Zhao ◽  
Eric Boerwinkle ◽  
Momiao Xiong
Keyword(s):  
Transmission Disequilibrium Test ◽  
Transmission Disequilibrium ◽  
Genome Wide
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