The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Ordered Hypotheses for Multiple Treatments: A Significance Test for Linear Ranks
Abstract
In many experiments the background evidence, theories, or conditions suggest an expected ordering among the treatment effects, yet in the analysis of variance such implicit hypotheses are typically neglected. A ranking statistic L is presented as test of a monotonic relationship among the treatment groups in the two-way analysis of variance. Used with accompanying table of L, it combines considerable power with computational ease, and assumes data of only ordinal strength. L is related to the test of the linear component of the treatment sum of squares in the parametric randomized-block design, to the product-moment correlation and regression, to the normal deviate test of Lyerly's average rho, and to Friedman's chi-square of ranks. Where either L or the Friedman test may be used, L is often more accurate and appropriate, and it has some advantages over other tests of trend and monotonicity.
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Cites
The proof and measurement of association between two things
Spearman, C. (1904) · The American Journal of Psychology · doi:10.2307/1412159 · Cited by 8,039
The use of ranks to avoid the assumption of normality implicit in the analysis of variance
Friedman, M. (1937) · Journal of the American Statistical Association · doi:10.1080/01621459.1937.10503522 · Cited by 7,005
A Comparison of Alternative Tests of Significance for the Problem of $m$ Rankings
Friedman, M. (1940) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177731944 · Cited by 2,785
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Metadata
- Authors
- Page, E. B.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1963-03
- Volume
- 58
- Issue
- 301
- Pages
- 216-230
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2170132692
- Cited by
- 701
- References
- 3
- FWCI
- 15.79
- Type
- journal article
- Language
- en
- Open access
- closed
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