A Non-parametric Test for Partial Monotonicity in Multiple Regression

Author(s):  
Misha van Beek ◽  
Hennie A. M. Daniels
Author(s):  
Judith H. Parkinson-Schwarz ◽  
Arne C. Bathke

AbstractIn this paper, we propose a new non-parametric test for equality of distributions. The test is based on the recently introduced measure of (niche) overlap and its rank-based estimator. As the estimator makes only one basic assumption on the underlying distribution, namely continuity, the test is universal applicable in contrast to many tests that are restricted to only specific scenarios. By construction, the new test is capable of detecting differences in location and scale. It thus complements the large class of rank-based tests that are constructed based on the non-parametric relative effect. In simulations this new test procedure obtained higher power and lower type I error compared to two common tests in several settings. The new procedure shows overall good performance. Together with its simplicity, this test can be used broadly.


2018 ◽  
Vol 9 (5) ◽  
pp. 33
Author(s):  
Yasuo Ishii ◽  
Daisuke Takeyasu ◽  
Tatsuya Oyanagi ◽  
Kazuhiro Takeyasu

High School teachers in Japan are sending very busy days on their daily works including teaching, support for the club activities and deskwork. Among them, they share a lot of time for managing the club actives of students compared with other countries. In that area, professionals can make instruction much better than teachers for the special sports like Judo and Kendo (Japanese fencing) etc. School Social Worker can coordinate the professionals out of school and can help teachers by decreasing their burden on that area. There are few related papers concerning the support of club activities by utilizing the professionals outside. In this paper, a questionnaire investigation is executed to the five High Schools at Miyagi Prefecture in Japan in order to clarify their current condition and their consciousness, and to seek the possibility of utilizing school social worker for their support. Fundamental statistical analysis and Non-Parametric Test Analysis are performed. As for Q2”Consciousness for the daily works” and its related analysis, Null Hypotheses were rejected for 6 cases out of 60. As for Q3”Consciousness for guiding the club activities” and its related analysis, Null Hypotheses were rejected for 5 cases out of 48. Various cases should be investigated here after.


2010 ◽  
Vol 10 (7) ◽  
pp. 1317-1317
Author(s):  
B. Richard ◽  
D. Ellemberg ◽  
A. Johnson

1989 ◽  
Vol 38 (1-2) ◽  
pp. 93-114
Author(s):  
Indranil Mukhopadhyay

In this paper non-parametric tests for the multiple resrcssion set up which take into account the known permutation symmetry of the variates under the null hypothesis, are suggested. It bas been shown that under permutation symmetry the proposed procedure is more efficient than the standard nonparametric procedure for the multiple regression problem (see e.g. Puri and Sen (1985) ). A special situation where it is further known in advance that the regressions are identical is also considered briefly.


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