Calculation of scores

Let us denote a list of variables to be used in the analysis by

{x1, x2, …., xi, …..,xv}

and a priority list associated with them by

{p1, p2, ….,pi, …..,pv}

The Partial Order Relation constructed on the basis of this collection of variables,

a p b for any cases a and b

is equivalent to the condition

x1(a) x1(b), x2(a) x2(b), ….,xv(a) xv(b)

where xi(a) and xi(b) denote values of the ith variable for cases a and b respectively.

When comparing two cases, the variables of highest priority (lowest level value) are considered first. If they unambiguously determine the relation, the comparison procedure ends. In the situation of equality, the comparison is continued using variables of the next priority level.

This procedure is repeated until the relation is determined at one of the priority levels, or the end of the variable list is reached.

 

For each case a from the analyzed set, the program calculates:

= the number of cases strictly dominating the case a

N(a) = the number of cases equivalent to the case a

= the number of cases strictly dominated by the case a

and then one (or two) of the following scores:

where

N = total number of cases in the analyzed set

S = the value of the scale factor, i.e. the value specifying the range of the score computed (usually 100)