compare arbitrary (non-nested) linear models
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When comparing two unrelated models, is it possible to determine which model better explains the data? It seems compare tests whether the altlme better explains the actual data (relative to lme) than random data generated by lme. So compare(model1, model2) and compare(model2, model1) can both be significant. Thanks
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  Alexis Villacis
 2019 年 2 月 21 日
        you can use AIC and BIC 
also if the number of parameters is the same, then you can do Likelihood dominance test
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