Abstract
In analysis of variance settings it is often known that if there are any differences among the means, those differences will fall in a particular order. The usual F test used to look for the existence of differences is not sensitive to the particular order. This paper presents two procedures from the nonparametric literature which have sensitivity to the suggested ordering. The analogy is drawn between these procedures and the two-sample t test. The paper concludes with a simulation study which investigates the power properties of the proposed tests and makes comparisons with the F test.
Keywords
Ordered alternatives, Jonckheere statistic
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Recommended Citation
Boyer, John E. Jr.
(1990).
"ORDERED ALTERNATIVES: A MEANS OF IMPROVING POWER,"
Conference on Applied Statistics in Agriculture.
https://doi.org/10.4148/2475-7772.1444
ORDERED ALTERNATIVES: A MEANS OF IMPROVING POWER
In analysis of variance settings it is often known that if there are any differences among the means, those differences will fall in a particular order. The usual F test used to look for the existence of differences is not sensitive to the particular order. This paper presents two procedures from the nonparametric literature which have sensitivity to the suggested ordering. The analogy is drawn between these procedures and the two-sample t test. The paper concludes with a simulation study which investigates the power properties of the proposed tests and makes comparisons with the F test.
