# A Future Officer Career Management System: An Objectives-Based Design

By Harry J. Thie; Margaret C. Harrell et al. | Go to book overview

Appendix C
SINGLE-VALUE FUNCTIONS

This appendix contains the single-value functions for each of the 11 objectives. The discrete value function provides the relative value of the evaluation increments. Tables C.1–C.15 include the change from the status quo, the values of each increment, and the cumulative values.

We use two procedures for determining single-dimensional value functions. (See Kirkwood, 1995.) One procedure results in a function that is made up of segments of straight lines that are joined together into a piecewise linear function. The other procedure uses a specific mathematical form, exponential, for the value function. Piecewise linear functions are typically used when there are a small number of different scoring levels. (See, for example, Table C.1.) Exponential functions are used when there are a large number (essentially an infinite number) of different levels between the end points. (See, for example, Table C.4.) These functions monotonically increase or decrease. (See Kirkwood and Sarin, 1980.)

Table C.1 provides the discrete value function for the objective “meet active skill needs.” The end points, which differ for many of the objectives, are –2 (significantly detracts from the status quo) and 2 (significantly improves the status quo). The increment between significantly detracts from the status quo and detracts is valued at .538, or 54 percent. The increment between detracts and no difference is valued at .231. Thus, the cumulative value of no difference is 77 percent.

Table C.4 is an example of the second kind of value function for continuous variables. This table permits the assessment of specific data

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