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Intuitive GLM

Intuitive GLM. ANOVA. (Xijk – Xij.) + (Xi.. – X...) + (X.j. – X...) + (Xij. -Xi.. - X.j. + X…). Eijk + Ri.. + C.j. + Iij. (Xijk – X…) = Ri.. + C.j. + Iij. + Eijk. Iij. = (Xij. - Xi.. - X.j. + X…) = Xij. – [(Xi.. – X…) + (X.j. – X…) + X…]. Interaction = Iij.= Xij. –

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Intuitive GLM

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  1. Intuitive GLM

  2. ANOVA

  3. (Xijk – Xij.) + (Xi.. – X...) + (X.j. – X...) + (Xij. -Xi.. - X.j. + X…) Eijk + Ri.. + C.j. + Iij. (Xijk – X…) = Ri.. + C.j. + Iij. + Eijk

  4. Iij. = (Xij. - Xi.. - X.j. + X…) = Xij. – [(Xi.. – X…) + (X.j. – X…) + X…] Interaction = Iij.= Xij. – [Di.. + D.j. + X…] Interaction

  5. SS= sum [ (Xijk – Xij.) + (Xi.. – X...) + (X.j. – X...) + (Xi.. + X.j. – Xij. – X…)]2 SStotal = SSerror + SSrows + SScolumns + SSinteraction SS= sum(Xijk – X…)2

  6. SScolumns

  7. SSrows

  8. SSinteraction

  9. SSerror

  10. Partition of Sum of Squares

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