All Different Matrix

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All Different Matrix

A parameter matrix that has all its values different for every row and column is termed an "All Different" matrix. In the following parameter matrix, with 5 occasions and 5 cohorts, each cohort has a different parameter value for each occasion.

1 2 3 4 5
6 7 8 9
   10 11 12
    13 14
     15

This parameter matrix coding is generally not used unless a Design Matrix is applied to reduce the number of parameters. The reason is that the parameters in such a matrix are seldom (if ever) identifiable in the models build in MARK.

See Constant Matrix for how parameters are specified constant for each occasion, Age Matrix for parameters that are age-specific, Time Parameter Matrices for how different parameters are used for each occasion, and Time and Age Matrix for an example where parameters are both time and age specific.