No. 1044

Title:

(originally in Japanese)
Adjusting for the multiplicity of tests in the QTL analysis --- Approximations to the distribution of the maximum of LOD scores

Author(s):

Kuriki, Satoshi (Institute of Statistical Mathematics)

Key words:

Euler characteristic heuristics; Haley-Knott's regression; interval mapping; nonlinear renewal theory; single marker analysis; tests for segregation rates

Abstract:

Contents
1. Introduction

1.1 The QTL Analysis and the change-point problem
1.2 Adjusting for multiplicity of tests

2. Statistical models in the QTL analysis and the LOD score

2.1 Data to be analyzed
2.2 Experimental crossing and linkage
2.3 The single marker analysis
2.4 Tests for segregation rates
2.5 Epistasis and detection of interactions between loci
2.6 The interval mapping and Haley-Knott's regression
2.7 The LOD scores in the interval mapping

3. Methods for adjusting for multiplicity of tests

3.1 Empirical methods and simulations
3.2 Approximations by the nonlinear renewal theory
3.3 Expected number of zeros of a random function
3.4 Proofs of propositions