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SPSS Textbook Examples
Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence
by Judith D. Singer and John B. Willett
Chapter 7: Examining the multilevel model’s error covariance structure

Table 7.2, page 246

Conventional multilevel model for change: Opposite naming data, Restricted ML

get file = 'c:\alda\opposites_pp.sav'.

mixed opp with time ccog 
  /print=solution
  /method=reml
  /fixed=intercept time ccog time*ccog
  /random=intercept time | subject(id) covtype(un).

Table 7.3, pages 258-259

Conventional multilevel model for change: Opposite naming data, Comparing alternative error structures at level-1, with none at level-2 (REML).

* Table 7.3a Unstructured.
mixed opp with time ccog 
  /print=solution
  /method=reml
  /fixed=intercept time ccog time*ccog
  /repeated wave | subject(id) covtype(un).

* Table 7.3b Compound Symmetry.
mixed opp with time ccog 
  /print=solution
  /method=reml
  /fixed=intercept time ccog time*ccog
  /repeated wave | subject(id) covtype(cs).

* Table 7.3c Heterogenous Compound Symmetry.
mixed opp with time ccog 
  /print=solution
  /method=reml
  /fixed=intercept time ccog time*ccog
  /repeated wave | subject(id) covtype(csh).

* Table 7.3d AR1.
mixed opp with time ccog 
  /print=solution
  /method=reml
  /fixed=intercept time ccog time*ccog
  /repeated wave | subject(id) covtype(ar1).

* Table 7.3e ARH1.
mixed opp with time ccog 
  /print=solution
  /method=reml
  /fixed=intercept time ccog time*ccog
  /repeated wave | subject(id) covtype(arh1).

* Table 7.3f Toeplitz.
mixed opp with time ccog 
  /print=solution
  /method=reml
  /fixed=intercept time ccog time*ccog
  /repeated wave | subject(id) covtype(tp).

Table 7.3a Unstructured.

Table 7.3b Compound Symmetry

Table 7.3c Heterogeneous Compound Symmetry

Table 7.3d Autoregressive

Table 7.3e Heterogeneous Autoregressive

Table 7.3f Toeplitz

Table 7.4, page 265

Comparing fixed effects in models with alternative error structures

* Table 7.4a standard error covariance structure.
mixed opp with time ccog 
  /print=solution
  /method=reml
  /fixed=intercept time ccog time*ccog
  /random intercept time | subject(id) covtype(tp).

* Table 7.4b Toeplitz.
mixed opp with time ccog 
  /print=solution
  /method=reml
  /fixed=intercept time ccog time*ccog
  /repeated wave | subject(id) covtype(tp).

* Table 7.4c unstructured.
mixed opp with time ccog 
  /print=solution
  /method=reml
  /fixed=intercept time ccog time*ccog
  /repeated wave | subject(id) covtype(un).

Table 7.4a Standard error covariance structure

Table 7.4b Toeplitz

Table 7.4c Unstructured

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