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Acceptable values for variance, aic and bic in multilevel models

I'm building a multilevel model from a sample of 820 observations at level 1 and 11 groups (level 2). I'm using stata xtmixed.

Running the empty model (including just the dependent variable) I get:

  • variance at level 1 (residual) = 0.6
  • variance at level 2 (_cons): 0.03
  • So the Intraclass correlation coefficient is 5%
  • AIC: 1860
  • BIC: 1875

Are my absolute values of variance too small? Too close to zero? Is there a recommended threshold given the sample size? From my previous question I learnt that having a very low ICC is ok.

Are AIC or BIC values too high, considering the sample size and the variance values? I mean, is there a rule that given around 800 observations tells me which should be an appropriate starting value for AIC/BIC?

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