A Comparison of Goodness of Fit Test for Drought Analysis
Abstract
This study aimed to compare the goodness of fit test and apply the standardized precipitation index to drought analysis. Data using in this study were positively skewed simulated with different sample size and parameters. On 3 goodness of fit test and 2 critical including Anderson-Darling test , Two Ahmad Modified Anderson-Darling test , Akaike Information Criterion and Bayesian Information Criterion . Results from the simulation study show that and was appropriate for two-parameter distribution data. For three-parameter distribution data Modified Anderson-Darling was appropriate in case of highly symmetric distributed. Modified Anderson-Darling was appropriate in case of highly skewed distributed data. Result from applying with real data, from rain gauging stations in Maepik district Lampang, Thailand, showed that seasonal rainfall was a Reverse Weibull distribution data which and were the most appropriate goodness of fit test. Moreover, we found that there was extremely drought in Maepik district in 1959, 1990, 2004 and 2010. Keywords : Anderson-Darling Test, Two Ahmad Modified Anderson-Darling TestReferences
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Baris S. (2008). A power comparison and simulation study of goodness-of-fit tests. Computers and Mathematics
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Heo, S., N. (2013). Approximation of modified Anderson–Darling test statistics for extreme value distributions with
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Thailand. Retrieved September 10, 2015, from http://tmd.go.th. (in Thai)
Baris S. (2008). A power comparison and simulation study of goodness-of-fit tests. Computers and Mathematics
with Applications. 1617 – 1625
Heo, S., N. (2013). Approximation of modified Anderson–Darling test statistics for extreme value distributions with
unknown shape parameter. Journal of Hydrology, 41 – 49.
Laio, Baldassarre, A. Montanari. (2009). Model selection techniques for the frequency analysis of hydrological
extremes. Water Resources Research, 45, 29 – 40.
McKee, T.B., Doesken, N.J. and Kleist, J. (1993). The relationship of drought frequency and duration on time
scale. Eighth Conf on Applied Climatology, 179–184.
Panpharisa. (2013). Modeling of Monthly Maximum Rainfalls in Upper Northern Thailand Using the Generalized
Extreme Value Distribution. Chiangmai: Chiangmai University. (in Thai)
Thai Meteorological Department. (2015). Drought. Retrieved September 10, 2015, from http://www.tmd.go.th
/info/ info.php?FileID=71 (in Thai)
Yusof, F.and Hui-Mean, F. (2012). Use of statistical distribution for drought analysis. Applied Math Sci, 6(21),
1031–1051.
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Published
2016-09-19
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Research Article
