Use polynomials up to degree four to re-parameterize the site effects, and repeat the fitting procedure for
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Use polynomials up to degree four to re-parameterize the site effects, and repeat the fitting procedure for (1.2) using the unnormalized orthogonal polynomial basis. Check that the treatment effect estimate and its standard error are unaffected by site re-parameterization. What effect does the change of basis have on the log likelihood?
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