Carolyn J Anderson's Home Page

This work was supported by NSF Grant #0351175 awarded to Anderson, and by the National Center for Supercomputing Applications and the University of Illinois under the auspices of the NCSA/UIUC Faculty Fellows Program and the Bureau of Educational Research in the College of Education at the University of Illinois.

LEM files for models reported in the following papers

Anderson, C.J. (2002). Analysis of multivariate frequency data by graphical regression models and generalizations of the multidimensional row-column association model.
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Kroonenberg, P.K., & Anderson, C.J. (2006). Additive and multiplicative models for three-way contingency tables. Darroch (1974) revisited. In M. Greenacre & J. Blasuis (Eds.) Multiple Correspondence Analysis and Related Methods

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Table 2 - Loglinear models.
Table 2 - Log-multiplicative assoication models.
Table 3 - Log-multiplicative models with restrictions on parameters (within Subject).
Table 4 - Log-multiplicative models with restrictions over subjects.

Log-linear Models (reported in Table 2):

Model (HL,h,l), Figure 1b, Hypothesis 1:

Model (HL,Hh,Ll), Figure 1c, Hypothesis 2:

Model (HL,Hh,Ll,hl), Figure 1d, Hypothesis 3:

Model (HL,Hh,HLl,hl), Figure 1e, Hypothesis 4:

Model (HLh,HLl,hl), Figure 1f, Hypothesis 5:

Log-multiplicative Association Models:

Models reported in Table 2:
- Equation 12, Figure 3a, Hypothesis 6:
  - Subject A.
  - Subject B.
- Equation 16, Figure 3b, Hypothesis 7:
  - Subject A.
  - Subject B.
- Equation 13, Figure 3c, Hypothesis 8:
  - Subject A.
  - Subject B.
- Equation 17, Figure 3d, Hypothesis 9:
  - Subject A.
  - Subject B.
Models reported in Table 3 (all have Figure 3c as their graphical representation):
- Model 13.0, hypothesis 7, no-restrictions
  - Subject A
  - Subject B
- Model 13.1, hypothesis 9
  - Subject A
  - Subject B
- Model 13.2, hypothesis 5 retested
  - Subject A
  - Subject B
- Model 13.3, hypothesis 5 modified
  - Subject A
  - Subject B
- Model 13.4, hypothesis 4 retested for Subject A
- Model 13.5, hypothesis 4 retested for Subject B
Models reported in Table 4:
- Model 18.0
- Model 18.1
- Model 18.2
- Model 18.3. Final model--- both subjects fit simultaneously with restrictions within and between subjects imposed.

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Last revised March 3, 2006