1987
DOI: 10.1080/01621459.1987.10478517
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K-Sample Anderson–Darling Tests

Abstract: Two k-sample versions of an Anderson-Darling rank statistic are proposed for testing the homogeneity of samples. Their asymptotic null distributions are derived for the continuous as well as the discrete case.In the continuous case the asymptotic distributions coincide with the (k -1)-fold convolution of the asymptotic distribution for the AndersonDarling one-sample statistic. The quality of this large sample approximation is investigated for small samples through Monte Carlo simulation. This is done for both … Show more

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Cited by 432 publications
(406 citation statements)
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“…Notably, this function has virtually no dependence on the brightness of the galaxy: the distribution of rest-frame [O ii] equivalent widths for the ∼8500 galaxies discovered in the Las Campanas Redshift Survey is almost independent of R-band luminosity (Blanton & Lin 2000). Similarly, there is no evidence for a correlation between luminosity and equivalent width in an Hα grism-survey of the local universe: if we divide the 191 galaxies of the Gallego et al (1996) survey in half and perform an Anderson-Darling test (Scholz & Stephens 1987), we find no statistical difference between the distributions of [O ii] equivalent widths for the high-and low-line luminosity samples. Figure 1 displays the rest-frame [O ii] equivalent width distribution for the HETDEX pilot survey's sample of emissionline galaxies, as a function of redshift and [O ii] luminosity.…”
Section: The Equivalent Width Distributionmentioning
confidence: 99%
“…Notably, this function has virtually no dependence on the brightness of the galaxy: the distribution of rest-frame [O ii] equivalent widths for the ∼8500 galaxies discovered in the Las Campanas Redshift Survey is almost independent of R-band luminosity (Blanton & Lin 2000). Similarly, there is no evidence for a correlation between luminosity and equivalent width in an Hα grism-survey of the local universe: if we divide the 191 galaxies of the Gallego et al (1996) survey in half and perform an Anderson-Darling test (Scholz & Stephens 1987), we find no statistical difference between the distributions of [O ii] equivalent widths for the high-and low-line luminosity samples. Figure 1 displays the rest-frame [O ii] equivalent width distribution for the HETDEX pilot survey's sample of emissionline galaxies, as a function of redshift and [O ii] luminosity.…”
Section: The Equivalent Width Distributionmentioning
confidence: 99%
“…The size distributions for these samples are shown in Figure 7, which shows them to be virtually identical. A ksample Anderson-Darling (A-D) test (Scholz & Stephens 1987) does not provide strong evidence for the distributions being statistically different.…”
Section: Physical Properties Of Bubble-associated Versus Field Clumpsmentioning
confidence: 99%
“…We also perform a k-sample Anderson-Darling test (Scholz & Stephens 1987) on the same parameters of Figure 4 to assess whether the tail of the cumulative distributions can affect our results. We find that the null hypothesis that the dispersion sample and the full red-sequence samples are drawn from the same distribution in magnitude and stellar mass can be rejected at 1% and 5% for XMM2235, ∼20% for XMM2215, and 2% and 5% for Cl0332.…”
Section: Distribution Of Galaxy Properties and Selection Effectsmentioning
confidence: 99%