Nonparametric tests for testing the cotrol versus effects of treatment levels

Two tests are introduced to test whether or not at least one of the different levels of a treatment cause a significant increase in the mean or variance over the control. The two new tests are compared with two existing tests on the basis of estimated powers for three different types of underlying distributions (symmetric and skewed). It is found that the proposed tests do have higher powers than the existing tests when there is a change in both the scale and location parameters. The results as to which of the proposed tests has higher powers depend on whether the underlying distributions are symmetric or skewed.

Authors

Publication Details

Journal
International Journal of Statistics and Applied Mathematics
Published
2024-11-01
DOI
https://doi.org/10.22271/maths.2024.v9.i6c.1916
Primary Topic
Analytical Methods in Pharmaceuticals
Type
article
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article

Nonparametric tests for testing the cotrol versus effects of treatment levels

Rhonda Magel, Bayan Schukr
International Journal of Statistics and Applied Mathematics
Analytical Methods in Pharmaceuticals
article

Nonparametric tests for testing the cotrol versus effects of treatment levels

Rhonda Magel, Bayan Schukr
article en

Abstract

Two tests are introduced to test whether or not at least one of the different levels of a treatment cause a significant increase in the mean or variance over the control. The two new tests are compared with two existing tests on the basis of estimated powers for three different types of underlying distributions (symmetric and skewed). It is found that the proposed tests do have higher powers than the existing tests when there is a change in both the scale and location parameters. The results as to which of the proposed tests has higher powers depend on whether the underlying distributions are symmetric or skewed.

International Journal of Statistics and Applied MathematicsVol. 9(6)
Openalex Percentile: Top 77%
Analytical Methods in Pharmaceuticals
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