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Keywords
(8)
Critical Value
Empirical Distribution Function
Goodness of Fit
kolmogorovsmirnov test
Monte Carlo Simulation
Type I Error
weibull distribution
kolmogorov smirnov
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The deltacorrected KolmogorovSmirnov test for the twoparameter Weibull distribution
The deltacorrected KolmogorovSmirnov test for the twoparameter Weibull distribution,10.1080/02664769723701,Journal of Applied Statistics,H. J. Kham
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The deltacorrected KolmogorovSmirnov test for the twoparameter Weibull distribution
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Citations: 3
)
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H. J. Khamis
Monte Carlo simulation
techniques are used to create tables of critical values for the deltacorrected KolmogorovSmirnov statistica modification of the classical KolmogorovSmirnov statisticfor the
Weibull distribution
with known location parameter and unknown shape and scale parameters. The power of the proposed test is investigated relative to values of delta in the unit interval and relative to a wide variety of alternative distributions. The results indicate that using the deltacorrection can lead to as many as 8.4 percentage points more power than can be achieved with the classical KolmogorovSmirnov test, with no change in the size of the test. Furthermore, carrying out the deltacorrected test involves no more steps or calculations than for the classical KolmogorovSmirnov test. In general, it is shown that a slight modificationor correctionin the definition of the
empirical distribution function
of the
KolmogorovSmirnov test
can lead to power enhancement without changing the
type I error
rate of the test. Two examples clearly show the effectiveness of the deltacorrected test. The deltacorrected
KolmogorovSmirnov test
is recommended for testing the
goodness of fit
to the twoparameter Weibull distribution.
Journal:
Journal of Applied Statistics  J APPL STAT
, vol. 24, no. 3, pp. 301318, 1997
DOI:
10.1080/02664769723701
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Citation Context
(1)
...The twosided KolmogorovāSmirnov (KS) test of normality was performed on this data [
19
]...
Jacques P. de Vos
,
et al.
Automated Pediatric Cardiac Auscultation
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Citations
(3)
Automated Pediatric Cardiac Auscultation
(
Citations: 9
)
Jacques P. de Vos
,
Mike M. Blanckenberg
Journal:
IEEE Transactions on Biomedical Engineering  IEEE TRANS BIOMED ENG
, vol. 54, no. 2, pp. 244252, 2007
ABibliographyof theJournal of Applied Statistics
Nelson H. F. Beebe
Goodnessoffit test for twoparameter Weibull distributions
Liang Peng