The Data

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The Model and Hypothesis

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Matrix formulation

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Anova tables, tests and estimates of variance components.

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Estimating equations (for mu and beta) and solutions.

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REML estimates (of variances).

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LRT of hypothesis

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Estimates with all effects fixed

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The SS  formulas in the ANOVA table

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SS computed "by hand"

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ML estimates

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Compare estimates of fixed effects [sl30 vs sl60]

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Compare variance and SS estimates [sl25, sl 35, sl55, sl60]

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Compare results from assuming fixed vs random effects

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Discussion

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