References
- Hettmansperger, T. P. (1975). Non-parametric inference for ordered alternatives in a randomized block design. Psychometrika, 40, 53-62. https://doi.org/10.1007/BF02291479
- Jonckheere, A. R (1954). A distribution-free k-sample test against ordered alternatives. Biometrika, 41, 133-145. https://doi.org/10.1093/biomet/41.1-2.133
- Kim, D. (1999). A class of distribution-free treatments versus control tests based on placements. Far East Journal of Theoretical Statistics, 3, 19-33.
- Kim, D., Lee, S. and Wang, W. (2011). The asymptotic behavior of linear placement statistics. Statistics and Probability Letters, 81, 326-336. https://doi.org/10.1016/j.spl.2010.10.021
- Kruskal, W. H. and Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis. Journals of the American Statistical Association, 47, 583-621. https://doi.org/10.1080/01621459.1952.10483441
- Mack, G. A. (1981). A quick and easy distribution-free test for main effects in a two-factor ANOVA. Communications in Statistics - Simulation and Computation, 10, 571-591. https://doi.org/10.1080/03610918108812236
- Mann, H. B. and Whitney, D. R. (1947). On a test of whether one of the two random variables is stochastically larger than the other. The Annals of Mathematical Statistics, 18, 50-60. https://doi.org/10.1214/aoms/1177730491
- Orban, J. and Wolfe, D. A. (1982). A class of distribution-free two-sample tests based on placements. Journals of the American Statistical Association, 77, 666-671. https://doi.org/10.1080/01621459.1982.10477870
- Page, E. B. (1963). Ordered hypotheses for multiple treatments : A significance test for linear ranks. Journals of the American Statistical Association, 58, 216-230. https://doi.org/10.1080/01621459.1963.10500843
- Skillings, J. H. and Wolfe, D. A. (1977). Testing for ordered alternatives by combining independent distribution-free block statistics. Communications in Statistics - Theory and Methods, 6, 1453-1463. https://doi.org/10.1080/03610927708827588
- Skillings, J. H. and Wolfe, D. A. (1978). Distribution-free tests for ordered alternatives in a randomized block design. Journals of the American Statistical Association, 73, 427-431. https://doi.org/10.1080/01621459.1978.10481595
- Terpstra, T. J. (1952). The asymptotic normality and consistency of kendall's test against trend, when ties are present in one ranking. Indagationes Mathematicae, 14, 327-333.