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Pedagogy of chi-square goodness of fit test for continuous distributions
Journal article   Peer reviewed

Pedagogy of chi-square goodness of fit test for continuous distributions

P. Mohana Shankar
Computer applications in engineering education, v 27(3), pp 679-689
01 May 2019

Abstract

Computer Science Computer Science, Interdisciplinary Applications Education & Educational Research Education, Scientific Disciplines Engineering Engineering, Multidisciplinary Science & Technology Social Sciences Technology
Chi-square goodness of fit testing to examine whether or not it is reasonable to assume that a random sample of the data comes from a specific probability density was one of the topics covered in an undergraduate engineering probability course. In the absence of details on this topic in engineering probability books, a Matlab((R)) demo was created to facilitate the link between theory and practice. The step-by-step procedure to determine the closest fit among a number of continuous densities has been demonstrated involving binning (fixed width and fixed population), parameter estimation, and computation of the test statistic, degrees of freedom and the P values. The cautionary aspects of the test regarding the variability in test results have been illustrated by choosing a smaller size data through permutation. The pedagogical aspects of procedure demonstrated suggest that it may be used to fill the gaps in textbooks devoted to probability and statistics.

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Web of Science research areas
Computer Science, Interdisciplinary Applications
Education, Scientific Disciplines
Engineering, Multidisciplinary
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