1 / 6

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).

braden
Download Presentation

Mixed Models Example Data Sets

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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)

More Related