Notation

Represents


The target number in category i in the first dimension


The sum of the observed numbers in category i in the first dimension


The target number in category j in the second dimension


The sum of the observed numbers in category j in the second dimension


The number of categories in the first dimension


The number of categories in the second dimension

Represents the weight adjustment calculated in the previous iteration for the cell at the intersection of category i in the first dimension and category j in the second dimension. In the first iteration, it is substituted with  
Represents the sum of the weight adjustments calculated in the previous iteration for category j in the second dimension. In the first iteration, the expression is substituted with 1. 
Represents the sum of the weight adjustments calculated in the previous iteration for category i in the first dimension.  
Represents the sum of the weight adjustments calculated in the current iteration for category j in the second dimension. 
Be the preweight for case j  
Be the rim weight for case j 