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Mixed Models Example Data Sets

Mixed Models Example Data Sets. Example 1: Apples (Schabenberger and Pierce 2002, page 464). Linear Mixed Model Clustered Longitudinal Data 3-12 apples per tree 10 trees 6 measurements (weekly) Yij = (Bo + boi) + (B1 + b1i)Xij + eij Y = apple diameter (inches) X = time (week).

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Mixed Models Example Data Sets

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  1. Mixed ModelsExample Data Sets

  2. Example 1: Apples(Schabenberger and Pierce 2002, page 464) • Linear Mixed Model • Clustered Longitudinal Data • 3-12 apples per tree • 10 trees • 6 measurements (weekly) • Yij = (Bo + boi) + (B1 + b1i)Xij + eij • Y = apple diameter (inches) • X = time (week)

  3. Example 2: Orange Trees(Draper and Smith 1981, page 524) • Nonlinear Mixed Model • Longitudinal Data (balanced) • 5 orange trees • 8 measurements • Yi = (B1+b1i)/(1+exp(-(Xi-B2)/B3)) • Y = tree circumference (mm) • X = time (days)

  4. Example 3: HT imputation (based on Robinson and Wykoff 2004) • Linear Mixed Model • Multi-level Data • 5 stands in compartment (j) • 3-11 plots per stand (i) • Multiple trees per plot (k) • ln(Ykij-4.5) = (Bo + boi + boj) • + (B1 + b1i + b1j)/(1+Xkij) + eij • Y = Total Height (feet) • X = DBH (inches)

  5. Example 4: Yield/Age • Nonlinear Mixed Model • Longitudinal Data (unbalanced) • 9 installations (locations) • 5-10 measurements • Yi = (B1+b1i)/(1+exp(-(Xi-B2)/B3)) • Y = Merchantable Cunits (ft3/acre) • X = Total Age (years)

  6. Example 5: Yield/Age • Nonlinear Mixed Model • Clustered Longitudinal Data (unbalanced) • 9 installations (locations) (j) • 3 plots per installation (i) • 5-10 measurements • Yi = (B1+b1i+b1j)/(1+exp(-(Xi-B2)/B3)) • Y = Merchantable Cunits (ft3/acre) • X = Total Age (years)

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