Adaptive Tests for Umbrella Alternatives

The efficacy of some c-sample rank tests of homogeneity against ordered alternatives

“…Thus an adaptive test should be applied which takes the given data into account. Examples of such adaptive tests based on the concept of Hogg et al (1975) are given by Biining (1999) and Biining and Kossler (1998).…”

Somec-sample rank tests of homogeneity against umbrella alternatives with unknown peak

“…Examples of such adaptive tests based on the concept of Hogg et al [15] are given by Büning [16], Büning and Kössler [17] and Kössler [18].…”

A New Nonparametric Test for Testing Equality of Locations Against Umbrella Alternatives

“…The JT test was first proposed by Terpstra [1] and Jonckheere [2] to test the null hypothesis of equality of location parameters against an ordered alternative hypothesis. Later, Chacko [3], Puri [4], May and Konkin [5], Odeh [6], Cuzick [7], Hettmansperger and Norton [8], Beier and Buning [9], Neuhäuser, et al [10], Buning and Kossler [11], Terpstra and Magel [12], Chang and Yen [13], Terpstra, et al [14], Chang, et al [15], Shan, et al [16] and Gaur [17] developed alternative tests for ordered alternative hypothesis.…”

“…For instance, the test proposed by Mack and Wolfe [18] for umbrella alternatives is an adaptation of the JT test proposed by Jonckheere [2] for ordered alternatives. Some of the tests proposed for ordered alternatives, but later adapted for umbrella alternatives were studied by Buning and Kossler [11], Kossler [19], Gaur, et al [20]. Besides these, Shi [21], Cohen and Sackrowitz [22], Pan [23], Hartlaub and Wolfe [24], Hayter and Liu [25], Lee and Chen [26], Magel and Qin [27], Singh and Liu [28], Alvo [29], Bhat and Patil [30], Basso and Salmaso [31] studied on testing for umbrella alternatives.…”