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mick
2003 Apr 16
0
Discrete Multivariate Analysis (log-linear model)
...formation about discrete multivariate analysis. This
chapter is restricted to an introduction to log-linear models for analysis of
multidimensional contingency tables. For example, in the log-linear model for
the 3-way table e can test several Hypothesis:
Note: MLE, maximum likelihood estimator
Mijk: counts in the cell i, j, k
Hypothesis # Hypothesis df MLE of Mijk
1 (ABC) (a-1)(b-1)(c-1) ----
2 (AB)(ABC) (a-1)(b-1)c mi+k m+jk/m++k
3 (AC)(ABC) (a-1)(c-1)b mij+m+jk/m+j+
.....
8 (AB)(AC)(BC)(ABC) abc-a-b-c+2 mi++m+j+m++k/n?
..........
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for better understanding it...