A New Goodness-of-Fit Test for Grouped Data

Article Preview

Abstract:

In data analysis of reliability, the traditional goodness-of-fit test is not applicable for grouped data under some circumstances. In this paper, a Kolmogorov-Smirnov test based on survival ratio method is proposed to determine the distribution type of grouped data. The power of the proposed test and other well-known goodness-of-fit tests are compared by Monte Carlo simulation, and the results show that the proposed test method is more powerful.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

455-460

Citation:

Online since:

September 2012

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Wang Yuchun: Some Estimating Problems Based on Grouped Data (2011).

Google Scholar

[2] Wang Ronghua, Xu Xiaoling, Lu Jingjing: Statistical analysis of grouped data under exponential distribution, Structure & Environment Engineering, Vol. 33, No. 3, (2006).

Google Scholar

[3] Villegas, C. Paula, G.A. Leiva, V.: Birnbaum-Saunders Mixed Models for Censored Reliability Data Analysis, Reliability, IEEE Transactions on 60, Issue 4: 748 – 758. (2011).

DOI: 10.1109/tr.2011.2170251

Google Scholar

[4] Pakyari, R., Balakrishnan, N.: A General Purpose Approximate Goodness-of-Fit Test for Progressively Type-II Censored Data, Reliability, IEEE Transactions on 61, Issue 1: 238 – 244. (2012).

DOI: 10.1109/tr.2012.2182811

Google Scholar

[5] Jing Cao, Ann Moosman, y Valen E. Johnson: A Bayesian Chi-Squared Goodness-of-Fit Test for Censored Data Models, UT MD Anderson Cancer Center Department of Biostatistics Working Paper Series, No. 43. (2008).

DOI: 10.1111/j.1541-0420.2009.01294.x

Google Scholar

[6] Zheng Ming, Yang Yi, Zheng Yu: Estimating Parameters in Weibull Distribution by Grouped Data, Applied Mathematics A Journal of Chinese Universities, Vol. 18, No. 3. (2003).

Google Scholar

[7] Zheng Ming, Yang Yi, Zheng Yu: Estimating Parameters in Lognormal Distribution from Grouped Data, System Engineering—Theory Methodology Applications, Vol. 13, No. 6. (2004).

Google Scholar

[8] Zhong Hua, Xie Minyu, Wu Anhong: Estimating Parameters in Two-Parameter Exponential Distribution by Grouped Data, Journal of Huazhong University (Natural Science), Vol. 41, No. 1. (2007).

Google Scholar

[9] Zhao Yu, Yang Jun, Ma Xiaobing: Data Analysis of Reliability, Beijing: National Defense Industry Press. (2011).

Google Scholar

[10] Yang Zhenhai, Cheng Weihu, Zhang Junjian: Goodness-of-Fit Test, Beijing: Science Press. (2011).

Google Scholar

[11] Chen Xiru: Advanced Mathematical Statistics, Hefei: Press of University of Science and Technology of China. (2009).

Google Scholar

[12] Bruce W. Turnbull: The Empirical Distribution Function with Arbitrarily Grouped, Censored and Truncated Data, Journal of the Royal Statistical Society, Vol. 38, No. 3: 290-295. (1976).

DOI: 10.1111/j.2517-6161.1976.tb01597.x

Google Scholar

[13] Xu Jiangnan: Availability Modeling of Repairable Component and Prediction of Its Spare Parts Number. (2011).

Google Scholar

[14] Yang Weimin, Tu Qingci, He Guofang: A Method to Process Field Reliability Data—Survival Ratio Method, Aeronautic Standardization & Quality, Vol. 6. (1983).

Google Scholar

[15] Zeng Yan, Li Guihua, Zhuang Liu: A Comparison of the Power of the Wilcoxon Rank-Sum Test and K-S Test on Completely Randomized Design of Independent Samples, Chinese Journal of Health Statistics, Vol. 28, No. 4. (2011).

Google Scholar

[16] Zhang Gangyong, Ruan Luning: Comparison of Several Normality Test Methods Based on Monte Carlo Stochastic Simulation, Statistics and Decision, Vol. 7. (2011).

Google Scholar

[17] Claudia Castro-Kuriss, Diana M. Kelmansky, Victor Leiva and Elena J. Martinez: A New Goodness-of-Fit Test for Censored Data with an Application in Monitoring Processes, Communications in Statistics—Simulation and Computation, Vol. 38: 1161–1177. (2009).

DOI: 10.1080/03610910902833488

Google Scholar

[18] B. Mascialino, A. Pfeiffer, M. G. Pia, A. Ribon, P. Viarengo: Evaluation of the power of Goodness-of-Fit tests for the comparison of data distributions, Nuclear Science Symposium Conference Record, Vol. 1: 101–103. (2006).

DOI: 10.1109/nssmic.2006.356116

Google Scholar