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4 votes

Permutation test for exponential null hypothesis: really bad?

Edit: This answer doesn't deal with the actual meat of the question, which was about permutation tests. I will either fix it or delete it. The likelihood ratio test looks pretty good to me and ...
Glen_b's user avatar
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2 votes

When and why is a likelihood ratio preferable to a difference as a test statistic?

There are hidden problems with permutation tests, the first and foremost being their reliance on choosing the “correct” statistic to permute. With heavy tails in the data distribution, the sample ...
Frank Harrell's user avatar
14 votes
Accepted

What is a *likelihood ratio test* for a specific distribution, and how does it relate to hypothesis tests?

A likelihood ratio test is just a particular type of hypothesis test where the test statistic is obtained in a specific way. They arise out of Neyman and Pearson's attempt to find a way to obtain &...
Glen_b's user avatar
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0 votes

How to interpret DESeq results with LRT vs. with Wald's test

Quite a bit has been written already about the Wald test and how it compares against a likelihood ratio test, see for example here (and the links therein), this page, even Wikipedia has a summary of ...
PBulls's user avatar
  • 2,081
2 votes
Accepted

Residual likelihood ratio test for fixed effects in a linear mixed model

The debate over comparing mixed-effects models fitted by REML (Restricted Maximum Likelihood) against ML (Maximum Likelihood) focuses on the optimal conditions for model comparison, especially when ...
Robert Long's user avatar
  • 56.9k
2 votes

Likelihood ratio tests in Growth Mixture Modelling with large sample sizes

First off, I would say you are in an enviable situation, as most applications of growth mixture models (GMMs) have sample sizes that are not ideal (e.g., see Bauer 2007 for more info). This being said,...
Preston Botter's user avatar
2 votes
Accepted

What are the degrees of freedom to consider for a G-test when some cells have expected values of 0?

The contribution of cells with zero counts is zero in the G-test since each such term is evaluated as 0 in this situation. This is based on the limit of x, which is a standard calculus result. The ...
Robert Long's user avatar
  • 56.9k
0 votes

What is the relationship between the GINI score and the log-likelihood ratio

As noted in the other answer here, the Gini index and the Shannon entropy are both impurity measures. One can argue that splitting according to... ... variance optimises the squared-error loss ... ...
ngmir's user avatar
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