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In terms of Fig. 1, all the alternatives appear to lie on the same indifference curve, which results in illogical rankings of naturally ordered alternatives.
That is, for the three possible ordered alternatives (for k = 1, 2, 3), which in our case correspond to the employment statuses mentioned above, we observe l it = k if μk−1 < l it * ≤ μ k, where μ0 = −∞ and μ m = ∞, with m being the number of alternatives.
We propose a distribution-free test for detecting ordered alternatives in a completely randomized design.
J = p-value generated from a Jonckheere's tests for ordered alternatives.
Other tests for ordered alternatives were developed by Cuzick [ 16] and Le [ 17].
The Jonckheere-Terpstra test for ordered alternatives was used to identify trends in patient identified single task difficulty (Q1) and importance scores (Q2) across responses to Q3.
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They shared a craftsmanly, neatness-counts aesthetic, and they used the illusion of realism to create an ideally ordered alternative world.
In general, the JT and KTP tests have the highest powers for the ordered alternative cases.
This research proposes a new nonparametric test for the ordered alternative problem.
Study results showed that the MJT test often produced a higher power than the JT test for the ordered alternative.
For instance, Puri [ 1], Puri and Sen [ 2], and Padmanabhan et al. [ 3] applied the concept of Chernoff Savage-type statistiChernoff Savage-typeordered alternative testatistics
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