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Military Jet Engine Acquisition Technology Basics and Cost-Estimating Methodology

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Military Jet Engine Acquisition Technology Basics and Cost-Estimating Methodology ( military-jet-engine-acquisition-technology-basics-and-cost-e )

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An Overview of Cost-Estimating Methods 43 these variables are frequently determined using a statistical tech- nique, such as ordinary least-squares (OLS) regression. The parametric relationships used for estimating costs are CERs. OLS can be applied to functional forms that are linear combinations of the explanatory variables. The functional form most often used in parametric methods is the “double log” or “log-log” form.1 The for- mat of a parametric relationship is lnY=bo +ÂbilnXi+e i where b0 and bi are coefficients, Xi are parameters (i.e., independent variables), and Y is the outcome or the dependent variable. This form is based on the assertion that errors are normally distributed in log space and not in real space. Using least-squares regression requires the residuals to be normally distributed with constant variance. A log-log relationship implies that our uncertainty in a predicted value is relative and not absolute. In other words, a forecast would be plus or minus a percentage value (rather than plus or minus some fixed dollar value) so that the error scales with the magnitude of the fore- cast. Parametric analysis has some strong advantages for estimating costs and the duration of development schedules. Its principal advantage is that after the basic parametric estimating relationship has been defined, applying the method is straightforward. Further, the analyst is not required to be a technical expert; however, to apply the method, the analyst must obtain values for all input parameters. Un- like the previous two approaches, a detailed conceptual design is not necessary to employ this method. Another, more subtle, advantage of parametric relationships generated using OLS regression is that one can also generate information on uncertainty of the forecasted value. In other words, one can obtain a result of y ± e where e is related to the error terms of the regression. This uncertainty value can be just as informative as the predicted value. ______________ 1The double log form is the most commonly used functional form that is nonlinear in the variable while still being linear in the coefficients.

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