Statistics Graduate Level Quiz
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LINEAR MODELS AND GLMS
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Two nested Gaussian linear models are fitted to the same 50 observations. The reduced model has residual sum of squares 120, and the full model, which adds two regression coefficients, has residual sum of squares 100. Both models estimate the error variance by maximum likelihood.
What is the likelihood-ratio deviance statistic for testing the two added coefficients, and what is its usual asymptotic reference distribution under the null hypothesis?
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