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4 votes
1 answer
58 views

Likelihood-ratio and score tests of a (non)linear combination of coefficients

The likelihood-ratio and score test are typically used for simple scalar hypotheses such as $\beta_1 = 0$ or $\beta_1 = \beta_2 = 0$. How can we test a linear combination of coefficients using the ...
DrJerryTAO's user avatar
  • 1,824
7 votes
2 answers
105 views

LR statistics add up for nested models. What about the Wald test?

Consider models M0, M1, M2. Let M0 $\subset$ M1 $\subset$ M2, i.e. let the models nest each other. I test the following pairs of models using the likelihood-ratio (LR) test: M0 vs. M2, M0 vs. M1, M1 ...
Richard Hardy's user avatar
1 vote
1 answer
297 views

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

I am new to the field of RNA-Seq and wanted to ask for advice concerning the proper use of the two DESeq() test options (LRT vs. Wald test). Briefly, my ...
Luise Charlotte's user avatar
4 votes
1 answer
88 views

Does the "log-likelihood" measure cover all details about model fit, like covariance structure, adjustments, robust variance estimator, etc?

Just a general statistical question: when any statistical software returns log-likelihood of some model, does it account for all details in it? For example, when we employ generalized least square ...
NadirCamzani's user avatar
1 vote
0 answers
133 views

Can be any example of testing contrasts using Wald's approach reproduced with Likelihood Ratio testing?

For illustration I will use R, but the question is general statistical question, totally not R related. Assume I have a numerical variable and categorical variable with 3 levels, like A, B and C, for ...
NadirCamzani's user avatar
1 vote
0 answers
50 views

How to compare 2 estimates from a model fitted by MLE when the covariance of the estimate can't be always estimated?

I have one model, that I fit using MLE. In order to feel what could be a good initial guess for the fitting process, I try different arbitrary smartly chosen initial guess (not random) and report the ...
Jerem Lachkar's user avatar
1 vote
0 answers
444 views

the Wald, Likelihood Ratio (LR) the Lagrange Multiplier (LM) test statistics Are monotonic function of F statistics

Consider a classic linear regression model. I want to show that the Wald, Likelihood Ratio (LR) the Lagrange Multiplier (LM) test statistics for the null hypothesis $H_0: R\beta =r$ for a constant ...
1190's user avatar
  • 1,140
3 votes
0 answers
92 views

Regarding the type 2 or 3 ANOVA, does the analysis via model reduction correspond to LRT and via contrasts - to Wald approach?

I noticed, that in R we can obtain type 2 and type 3 ANOVA in many ways in unbalanced designs: For example, for type-2 car::Anova(...type=2), by running anova() over a sequence of models with swapped ...
Tereira's user avatar
  • 91
2 votes
0 answers
291 views

What measure to use to compare stratified and non stratified Cox proportional hazards in R

I am doing past papers studying for an exam on medical statistics and am unsure about one of the questions. The question reads as follows: "Consider now a second model where we stratify by sex ...
Matthew Coudert's user avatar
15 votes
3 answers
4k views

Why use the Wald test in logistic regression?

Some statistical software use the Wald statistic when reporting on the regression coefficients. As examples, R and Stata report Wald by default. The logistic regression article on Wikipedia says, ...
Single Malt's user avatar
6 votes
1 answer
688 views

Asymptotic equivalence of Likelihood Ratio Statistic and Wald Statistic?

When we say the likelihood ratio statistic and the Wald statistic of a set of binomial distributions are asymptotically equivalent, do we mean that the sampling distributions of the two statistics ...
HDB's user avatar
  • 249
1 vote
0 answers
215 views

How do I check the assumptions of the Wald test for binomial GLM?

At my statistics course we used LRT to get the p-value of the covariates from a binomial GLM. There was something mentioned about the Wald test assumptions not being met, which results in biased p-...
CheesyGnocchi's user avatar
0 votes
1 answer
286 views

Meta-analyzing Likehood ratio or wald test outputs

Hope your day is going well! I've been reading a lot on the Wald test and likelihood ratio test recently because it is the output of my RNA sequencing data. I was interested in meta-analysis of ...
statssyboy's user avatar
4 votes
1 answer
3k views

Likelihood ratio, Wald, and Score are equivalent?

In Foundations of Linear and Generalized Linear Models, Agresti makes a comment on page 131 about likelihood ratio, Wald, and Score testing of regression parameters. For the best-known GLM, the ...
Dave's user avatar
  • 65k
5 votes
2 answers
263 views

Is it possible to generate power curves for score-tests, wald-test, LR test?

A power curve is something in the example Do score-tests, wald-test, LR test have power curves? What do they look like?
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