Statistical Modeling of Learning Curves with Binary Response Data

- Journal title : Communications for Statistical Applications and Methods
- Volume 19, Issue 3, 2012, pp.433-450
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2012.19.3.433

Title & Authors

Statistical Modeling of Learning Curves with Binary Response Data

Lee, Seul-Ji; Park, Man-Sik;

Lee, Seul-Ji; Park, Man-Sik;

Abstract

As a worker performs a certain operation repeatedly, he tends to become familiar with the job and complete it in a very short time. That means that the efficiency is improved due to his accumulated knowledge, experience and skill in regards to the operation. Investing time in an output is reduced by repeating any operation. This phenomenon is referred to as the learning curve effect. A learning curve is a graphical representation of the changing rate of learning. According to previous literature, learning curve effects are determined by subjective pre-assigned factors. In this study, we propose a new statistical model to clarify the learning curve effect by means of a basic cumulative distribution function. This work mainly focuses on the statistical modeling of binary data. We employ the Newton-Raphson method for the estimation and Delta method for the construction of confidence intervals. We also perform a real data analysis.

Keywords

Learning curve;binary response;cumulative distribution function;Newton-Raphson method;Delta method;

Language

Korean

Cited by

1.

일반화 이산형 분포를 이용한 학습곡선의 모형화,강민아;박만식;

Journal of the Korean Data Analysis Society, 2015. vol.17. 1B, pp.127-140

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