Page's trend test

In statistics, the Page test for multiple comparisons between ordered correlated variables is the counterpart of Spearman's rank correlation coefficient which summarizes the association of continuous variables.

A test of the significance of the trend between conditions in this situation was developed by Ellis Batten Page (1963).

[1] More formally, the test considers the null hypothesis that, for n conditions, where mi is a measure of the central tendency of the ith condition, against the alternative hypothesis that It has more statistical power than the Friedman test against the alternative that there is a difference in trend.

Friedman's test considers the alternative hypothesis that the central tendencies of the observations under the n conditions are different without specifying their order.

Procedure for the Page test, with k subjects each exposed to n conditions: The Page test is most often used with fairly small numbers of conditions and subjects.