Quantitative data


Quantitative data is highly valued. But there are several potential problems using raw quantitative data:
  • It may not represent what you think it does; for example, data about the past does not necessarily reflect what will happen in the future.
  • To be useful, quantitative data often requires interpretation by subject matter experts.
  • If the quantitative data is not ratio scale data (e.g. a percentage from 0 to 100) it has to be converted to ratio scale data before it can be used in a meaningful way with other data.
There are a some techniques available for overcoming these problems.

A Utility Curve converts quantitative data into quantitative ratio scale data.  The Utility Curve can be increasing or decreasing, concave or convex.
UC1
Increasing
UC3
Concave, increasing
UC2
Decreasing
UC4
Convex, increasing

A Step Function also converts quantitative data into quantitative ratio scale data, but in discreet steps. The priorities for each step are derived using pairwise comparison. Step functions can be increasing or decreasing, piecewise linear or not piecewise linear.
sf1
Increasing, not piecewise
sf3
Decreasing, not piecewise
sf2
Increasing, piecewise
sf4
Decreasing, piecewise


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