Nested Designs

1
Nested Designs

• Mean Water Levels in Florida Swamps
• K.C. Ewel and L.P. Wickenheiser (1988). Effect
  of Swamp Size on Growth Rates of Cypress
  (Taxodium distichum) Trees, American Midland
  Naturalist, Vol.120,2,pp.362-370.

2
Data

• Florida Swamps Classified in 3 Size Categories
  Small, Medium, Large (Fixed Factor)
• 3 Swamps sampled from each size type (Random
  Factor)
• 27 locations sampled and water levels measured,
  in cm.
• Yijk represents the water level for the kth
  location of the jth swamp within the ith size
  level

Mean (SD) for the 27 locations for the 9 Swamps
(Approximated from paper)
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(No Transcript)
4
Statistical Model
5
Sums of Squares
SSA
SSB(A)
SSE
6
Analysis of Variance / F-tests
7
Comparing Swamp Sizes / Variance Estimates