The likelihood ratio test for a change-point in simple linear regression

Biometrika ◽  
1989 ◽  
Vol 76 (3) ◽  
pp. 409-423 ◽  
Author(s):  
HYUNE-JU KIM ◽  
DAVID SIEGMUND
Keyword(s):  
Linear Regression ◽  
Likelihood Ratio ◽  
Likelihood Ratio Test ◽  
Change Point ◽  
Ratio Test ◽  
Simple Linear Regression

scholarly journals Likelihood Ratio Test in the Two Phase Linear Regression Problem.

1997 ◽  
Vol 26 (3) ◽  
pp. 135-150 ◽  
Author(s):  
Qi BIAN ◽  
Wataru SAKAMOTO ◽  
Shingo SHIRAHATA
Keyword(s):  
Linear Regression ◽  
Likelihood Ratio ◽  
Likelihood Ratio Test ◽  
Ratio Test ◽  
Two Phase ◽  
Regression Problem ◽  
Linear Regression Problem

scholarly journals On the use of linear regression and maximum likelihood for QTL mapping in half-sib designs

1998 ◽  
Vol 72 (2) ◽  
pp. 149-158 ◽  
Author(s):  
P. V. BARET ◽  
S. A. KNOTT ◽  
P. M. VISSCHER
Keyword(s):  
Maximum Likelihood ◽  
Linear Regression ◽  
Likelihood Ratio ◽  
Likelihood Ratio Test ◽  
Null Hypothesis ◽  
Alternative Hypothesis ◽  
Ratio Test ◽  
Test Statistics ◽  
Daughter Design ◽  
Practical Implications

Methods of identification of quantitative trait loci (QTL) using a half-sib design are generally based on least-squares or maximum likelihood approaches. These methods differ in the genetical model considered and in the information used. Despite these differences, the power of the two methods in a daughter design is very similar. Using an analogy with a one-way analysis of variance, we propose an equation connecting the two test-statistics (F ratio for regression and likelihood ratio test in the case of the maximum likelihood). The robustness of this relationship is tested by simulation for different single QTL models. In general, the correspondence between the two statistics is good under both the null hypothesis and the alternative hypothesis of a single QTL segregating. Practical implications are discussed with particular emphasis on the theoretical distribution of the likelihood ratio test.

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