The distribution‐free test against ordered alternatives proposed by Jonckheere (1954) is based on the Kendall's rank correlation coefficient τ. A new rank test is proposed and illustrated with a numerical example. The proposed test is based on Spearman's σ and has similar functional structure as the Kruskal‐Wallis test. A useful by‐product is a test for departure from a trend.
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Chap T. Le (1988) studied this question.
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