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Questions tagged [model-comparison]

Comparing two or more models fit to a common data set. It can be part of the process of "model selection".

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Comparing GLMM with LMM with -2*log-likelihood

Is it possible/recommended to compare the -2*Log-Likelihood (-2LL) value of a Generalized Linear Mixed Model (GLMM) against the -2LL value (and/or AIC/AICC/BIC) of a Linear Mixed Model (LMM) with the ...
Mark S.'s user avatar
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6 votes
1 answer
206 views

Model comparison for nested regression models that are not symbolically nested

Say I have two nested models and I want to compare them, but they are parameterized differently so that no simple constraint (i.e., setting coefficients to 0) on the larger model corresponds exactly ...
Noah's user avatar
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Bayesian: Formally comparing prior and posterior distributions

Consider Bayesian inference in the regression model: $$ \begin{align*} y &= \beta_0+\beta_1x_1+\beta_2x_2 + \varepsilon \\ \varepsilon &\sim \mathcal{N}(0,\sigma^2) \end{align*}$$ Suppose we ...
Adam Check's user avatar
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Confused about the results of a mixed effect model

I have a dataset of two continuous muscle activity levels A and B. I hypothesized that B is linearly correlated to A which is confirmed by a simple correlation test. And I have two categorical factors:...
bolo's user avatar
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4 votes
2 answers
184 views

Compare estimates between non-nested mixed-effects models

I have two mixed-effect linear regression models, both fit on the same same data and same outcome, but with slightly different predictors. Is there a way to compare (i.e., generate a p-value for the ...
David B's user avatar
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36 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
1 answer
32 views

ML V REML for Hypothesis Testing

I am curious about doing hypothesis testing with REML values via a likelihood ratio test, or whatever test would make sense for REML values, but these two highly upvoted answers to existing cross ...
A Friendly Fish's user avatar
2 votes
2 answers
200 views

How to compare two PMF generating functions?

I have two functions $f$ and $g$ that map an input vector $x_i$ to a probability mass function. For example: $$ x_i = [0,1,2] \\\\ f(x_i) \rightarrow [0.1, 0.3, 0.2, 0.2, 0.2] \\\\ g(x_i) \...
ilija139's user avatar
1 vote
0 answers
25 views

Calculate weight for GLM-quasi poisson model

I am running several models with the quasi-Poisson family. I am looking at data from vulture restaurants. Vulture count was modelled at each site as a function of either a linear or quadratic effect ...
Emeline AUDA's user avatar
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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
4 votes
1 answer
57 views

Measurement invariance and latent mean comparison between 3 groups

I performed an Exploratory Factor Analysis (EFA) followed by a Confirmatory Factor Analysis (CFA) in R, successfully assessing the model fit using indices such as TLI, CFI, RMSEA for a two-factor ...
DavidP's user avatar
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Testing difference between two models using WAIC and degrees of freedom of WAIC

I am conducting Bayesian penalised regression, horseshoe specifically, in R using the bayesreg package see here. One model is nested within the other, i.e. to the second model I have simply used all ...
llewmills's user avatar
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1 vote
0 answers
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GAMLSS - How to adjust AIC for log-transformation of variables [duplicate]

I have one GAMLSS model in which the independent and dependent variable are on the natural scale, and a second model in which both variables have been log-transformed. How do I adjust the AIC of the ...
Peder Holman's user avatar
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34 views

Comparison of two different models with different variables

How to compare two models at two levels? For example, I want to model crime events at two levels (streets and census tracts). The models are logistic regression for the streets (occurrence of crime) ...
AmirMohammad's user avatar
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13 views

Interpretation Comparison Bayesian Models with Leave-One-Out Cross Validation

I'm currently working on comparing two Bayesian linear models using the brms package in R, with a dataset of 400 participants. The models differ in that one ...
JKas's user avatar
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