Quiz 2

Model Comparison

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Python Week 1: the first filter for runtime behavior
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# Model Comparison ## 10.1 Nested Model Tests **Full vs. Reduced model:** $F = \frac{(SS_{res,R} - SS_{res,F}) / (df_R - df_F)}{SS_{res,F} / df_F}$ ## 10.2 Likelihood Ratio Test $LR = -2[\ln(L(\hat{\theta}_0)) - \ln(L(\hat{\theta}_1))] \sim \chi^2_{df}$ ## 10.3 Information Criteria - AIC = $-2\ln(L) + 2k$ (minimize)...

Model Comparison

10.1 Nested Model Tests

Full vs. Reduced model: F=(SSres,RSSres,F)/(dfRdfF)SSres,F/dfFF = \frac{(SS_{res,R} - SS_{res,F}) / (df_R - df_F)}{SS_{res,F} / df_F}

10.2 Likelihood Ratio Test

LR=2[ln(L(θ^0))ln(L(θ^1))]χdf2LR = -2[\ln(L(\hat{\theta}_0)) - \ln(L(\hat{\theta}_1))] \sim \chi^2_{df}

10.3 Information Criteria

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