**2.2.4 Calculation of scores**

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

*{x*_{1}, x_{2}, ….,x_{i}, …..,x_{v}}

and a priority list associated with them by

*{p*_{1}, p_{2}, ….,p_{i}, …..,p_{v}}

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

*x*_{1}(a) £ x_{1}(b),
x_{2}(a) £ x_{2}(b), ….,x_{v}(a)
£ x_{v}(b)

where *x*_{i}(a) and *x*_{i}(b) denote
values of the *i*^{th} 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)

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