Bartlett correction to the likelihood ratio test for MCAR with two-step monotone sample

2017 ◽  
Vol 71 (3) ◽  
pp. 184-199 ◽  
Author(s):  
Nobumichi Shutoh ◽  
Takahiro Nishiyama ◽  
Masashi Hyodo

2000 ◽  
Vol 16 (5) ◽  
pp. 740-778 ◽  
Author(s):  
Søren Johansen

Likelihood ratio tests for restrictions on cointegrating vectors are asymptotically χ2 distributed. For some values of the parameters this asymptotic distribution does not give a good approximation to the finite sample distribution. In this paper we derive the Bartlett correction factor for the likelihood ratio test and show by some simulation experiments that it can be a useful tool for making inference.



Author(s):  
Woojoo Lee ◽  
Donghwan Lee ◽  
Yudi Pawitan

AbstractThis paper presents two simple rare variant (RV) burden tests based on the likelihood ratio test (LRT) and score statistics. LRT is one of the commonly used tests in practical data analysis, and we show here that there is no reason to ignore it in testing RV associations. With the Bartlett correction, we have numerically shown that the LRT-based test can have a reliable distribution. Our simulation study indicates that if the non-null variants are as common as the null variants, then the LRT and score statistics have comparable performance to the C-alpha test, and if the former is rarer than the null variants, then they outperform the C-alpha test.



1997 ◽  
Vol 61 (4) ◽  
pp. 335-350 ◽  
Author(s):  
A. P. MORRIS ◽  
J. C. WHITTAKER ◽  
R. N. CURNOW




1986 ◽  
Vol 28 (6) ◽  
pp. 665-672 ◽  
Author(s):  
R. G. Knapp ◽  
A. J. Gross ◽  
A. B. Cantor


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