Hwan-Jin Yoon

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Within-Subject Centering◮ The standard random effects model is given byy ij = β 0 + β 1 x ij + γ j + ε ij (1)where x ij is the value of measurement i from subject j.◮ γ j is random effect of subject j.◮ γ j ∼ N(0, σ 2 γ j) and ε ij ∼ N(0, σ 2 ε ij)◮ Within-subject centering: subtracting the subject’s meanvalue from each observation value, x ij − ¯x j .
Within-Subject Centering◮ Centering around subjects’ means effectively get rid of anybetween-subject effect variation◮ Derived new independent variable (x ij − ¯x j ) to use as a fixedeffect that expresses only the within-subject variationcomponent.◮ Derived a second new fixed independent variable, ¯x j , for onlybetween-subject variation component.
Page 2: Data StructureSEQ Mutation Current(
Page 8 and 9: Within-Subject Centering◮ The new
Page 10 and 11: Proposed method◮ Use ANOVA adjust
Page 12 and 13: Results◮ Parameter estimates of m
Page 14 and 15: Results◮ Although model (1) even
Page 16: Conclusion◮ For balanced cases, d

Hwan-Jin Yoon

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