Attribution
Overview
Attribution attempts to explain the difference in a function evaluated at different points.
For example, suppose you a function of {% n %} variables as such.
{% value_1 = f(x_{1}, x_{2} , ... ,x_{n}) %}
Now, if the function is evaluated using different parameters, a different value results.
{% value_2 = f(x_{1}', x_{2}' , ... ,x_{n}') %}
In general the difference between the two values is not zero.
{% value_2 - value_1 \not= 0 %}
Attribution seeks to break the difference in {% f %} due to the influence of the underlying variables such that
{% value_2 - value_1 = \Delta f = \Delta f_{x1} + \Delta f_{x2} + ... + \Delta f_{xn} %}
where {% f_{xi} %} is the amount of the difference that has been attributed to the change in {% x_i %}.
Topics
Methods of Solution