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Why can't we use AIC and p-value variable selection within the same model building exercise?

AIC is more a model selection method in which you do not favour some null hypothesis. Contrary to this, with a hypothesis test (and with p-values) you choose to reject or not reject a null hypothesis ...
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4 votes

Detection Function in Distance Sampling, R

This is actually a common situation encountered in distance sampling data. If you have too many distances near 0 you can actually get an HR to fit much better than a half normal, leading to ...
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1 vote

Stepwise model selection by AIC

Preamble: Avoid doing stepwise model selection via AIC if there are plan to use the model for anything else other than prediction. Please see this thread for more details: Algorithms for automatic ...
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Why does AIC model rank order change in lme models with standardization of predictor variables?

I had a very similar problem that a scatterplot showed a negative trend between my variable of interest Y and elevation but my lme model Y ~ elev... had a higher AIC than the null model: Y ~ 1.... I ...
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Equivalence of AIC and p-values in model selection

Maybe some detailed explanation about the excellent answer of @Frank Harrell The test statistic of a Likelihood-ratio test (LRT) is defined as (Wikipedia) $$ \lambda_{\text{LR}} = -2(\ell_0 - \ell_A) $...
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