An Analysis of the Impact of Log-Linear Regression on the Estimated Learning Curve Parameters

Abstract

This research had three main objectives. First, was to determine whether bias existed in the estimate of the learning curve parameters, as calculated by popular learning curve programs. Second, was to compare the fitting techniques of ordinary and weighted least-squares, with and without bias removed. Third, was to test the normality and constant variance assumptions of the average unit cost data. When using the least-squares fitting technique to fit production lot data to the unit formulation of learning curve theory, log-linear regression biases the estimate of the first unit cost parameter on the high side, resulting in overestimating program costs. The bias was shown to be almost exclusively a function of the variance in the production cost data. Factors which would reduce the bias were investigated. An approximation to the bias reduction factor proposed by Ilderton was used with excellent results. Keywords: Cost estimates, Learning curves, Least squares method, Curve fitting.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1988
Accession Number
ADA201471

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  • Tom Tracht

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  • Air Force Institute of Technology

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  • Electronic Warfare
  • Energy and Power Technologies
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  • Weapons Technologies

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