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0 votes
0 answers
27 views

Comparing Models with Unequal Sample Sizes

I have performed an association analysis where I have associatiated several different perdictor variables to a dependent variable. For each predictor, I run two models and compare them via the ...
CAM_etal's user avatar
0 votes
0 answers
39 views

Likelihood ratios not distributed as a chi2 distribution with the correct dof (Wilks' theorem)

I perform Bayesian inference on a mixture model such that $\mu$ is the mixture weight for a feature in the mixture $p(x | \mu, \theta) = \mu p_{f}(x|\theta) + (1-\mu)p_{nf}(x|\theta)$ I have prior $p(\...
malavika v vasist's user avatar
3 votes
1 answer
160 views

Why does the Type-3 ANOVA using LRT via car::Anova() give different result than term-by-term LRT model comparison via anova() in R?

With this very simple data: ...
Couchiagna's user avatar
3 votes
2 answers
283 views

Normal or lognormal? After comparing the fit of those two models by calculating a likelihood ratio (LR), how to pool LRs from several data sets?

Using the method of section 6.7.2 of Burnham and Anderson, Model selection and multimodel inference: a practical information-theoretic approach, 2nd edition, one can compute the likelihood ratio ...
Harvey Motulsky's user avatar
1 vote
1 answer
545 views

Using AIC vs Likelihood Ratio test for comparing Lognormal and Powerlaw distributions

I am interested in comparing whether a lognormal or a power law are a better fit for a given set of data. Both distributions have been fit using MLE, with $x_{min}$ determined using KS-minimization a ...
Heymans's user avatar
  • 31
3 votes
2 answers
808 views

Which statistical test to compare same model with different parameters?

I have two datasets on people buying apples based on weight and price. One dataset in 2019 the other in 2020. I estimate a logit model with Utility = betaWeight * weight + betaPrice * price. Training ...
A M's user avatar
  • 31
1 vote
1 answer
214 views

Comparing model efficiency

I hope you all don't mind me asking this question. I have two models : general linear mixed effects model ...
bison2178's user avatar
  • 487
1 vote
1 answer
95 views

Likelihood ratio not significant but bootsrapping is (and is not)

I modelled eight lmer models via the lme4 package. First, I compared the models via a likelihood ratio test yielding this: ...
a.henrietty's user avatar
1 vote
0 answers
59 views

Why do the car::Anova(test="LRT", type=3) and anova(test="LRT") slightly differ in the output (details inside) [duplicate]

Let's say we have this data: ...
Damasco's user avatar
  • 163
0 votes
0 answers
40 views

Likelihood ratio to quantify the similarity between one sample with two other matched samples

I conducted a study with 3 conditions and N subjects. All subjects performed all conditions once. I would like to know if the first condition is similar to the second or third condition. Formally, ...
gavril's user avatar
  • 63
5 votes
1 answer
875 views

Reporting betareg outcome - how to compare non-nested models?

I am looking for advice how to gain and report results using beta regression for an ANCOVA-like model. My model is as follows: ...
Kriste M's user avatar
2 votes
1 answer
153 views

Is it possible to have a lower AIC value for the smaller of two nested models?

I am testing the parallel lines assumption of an ordered probit model by running a likelihood-ratio test against a model where the coefficients can vary for each step of the ordinal response variable. ...
Markus777's user avatar
3 votes
1 answer
196 views

Likelihood ratio test for non-integer degrees of freedom?

I want to compare two (non-linear) models, defined by two parameters $\beta_1$ and $\beta_2$. The first (null) model is nested inside the second (alternative) model. Specifically, in the null model, ...
Ruben van Bergen's user avatar
1 vote
0 answers
36 views

Coefficients of model and liklihood ratio test

I ran a regression on some data I collected. The data has one independent variable and looks as if a quadratic function would fit it well. I fit both a quadratic and a quartic model to the data and ...
Demetri Pananos's user avatar
4 votes
1 answer
2k views

How to compare two models of binomial distributions?

Assume we have two series of indepedent success-failure observations, e.g. coin tosses $$ \boldsymbol x_1 \in \{H,T\}^{n_1} \\ \boldsymbol x_2 \in \{H,T\}^{n_2} $$ Also, let $k_i$ be the number of ...
Simon's user avatar
  • 143

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