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Transformation of Life-Test Data

Published online by Cambridge University Press:  20 November 2018

Norman R. Draper  and
Irwin Guttman
Norman R. Draper
Affiliation:
University of Wisconsin Madison
Irwin Guttman
Affiliation:
University of Wisconsin Madison
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In a recent paper Box and Cox (1964) considered the problem of transforming dependent variables in regression and analysis of variance problems, in order to achieve the usual assumptions of Normality, constant variance and additivity of effects. Here we adopt the same approach to investigate transformations of data which allow the transformed observations to follow a Gamma distribution. A special case of this is the exponential distribution, valuable in life-testing, for which examples are given.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 11 , Issue 3 , August 1968 , pp. 475 - 488
Copyright
Copyright © Canadian Mathematical Society 1968

References

von Bortkiewicz, L. (1915). Uber die zeitfolge zufalliger ereignisse, Bulletin de L'institut International de Statistique, 20, 2, 30-111 (discussion 20, 1, 87–92).Google Scholar
Box, G.E.P. and Cox, D.R. (1964). An analysis of transformations, Journal, of the Royal Statistical Society, Series B, 26, 211-243.Google Scholar
Daniel, Cuthbert (1959). Use of half-normal plots in interpreting factorial two-level experiments. Technometrics, 1, 311-341.Google Scholar
Govindarajulu, Z. (1964). A supplement to Mendenhall' s bibliography on life testing and related topics. Journal of the American Statistical Association, 59, 1231-1291.Google Scholar
Maguire, B.A., Pearson, E.S. and Wynn, A.H.A. (1952), The time intervals between industrial accidents, Biometrika, 39, 168-180.Google Scholar
Mendenhall, W. and Hader, R. J. (1958). Estimation of parameters of mixed exponentially distributed failure time distributions from censored life test data. Biometrika, 45, 504-520.Google Scholar
Mendenhall, W. (1958). A bibliography on life testing and related topics. Biometrika, 45, 521-543.Google Scholar
Morant, G.M. (1920). On random occurrences in space and time, when followed by a closed interval. Biometrika, 13, 309-337,Google Scholar
Neyman, J. and Pearson, E. S. (1928). On the use and interpretation of certain test criteria for purposes of statistical inference. Part I. Biometrika, 20A, 175-240.Google Scholar
Sukatme, P. V. (1936). On the analysis of k samples from exponential populations with especial reference to the problem of random intervals. Statistical Research Memoirs, 1, 94-112.Google Scholar