Sign and Wilcoxon tests for quadratic versus cubic regression.

A. P. Gore; K. S. Madhava Rao

Trabajos de Estadística e Investigación Operativa (1984)

  • Volume: 35, Issue: 1, page 112-120
  • ISSN: 0041-0241

Abstract

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In this paper sign and Wilcoxon tests for testing the null hypothesis of quadratic regression versus the alternative, cubic regression are proposed. It is shown that in the case of a simple design consisting of multiple Y observations at each of the four levels of x, the proposed tests perform reasonably well as compared to their parametric competitors, while in the case of a general design consisting of a large number of levels of x, the loss in Pitman efficiency is considerable. However their computational simplicity appears remarkable.

How to cite

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Gore, A. P., and Madhava Rao, K. S.. "Sign and Wilcoxon tests for quadratic versus cubic regression.." Trabajos de Estadística e Investigación Operativa 35.1 (1984): 112-120. <http://eudml.org/doc/40754>.

@article{Gore1984,
abstract = {In this paper sign and Wilcoxon tests for testing the null hypothesis of quadratic regression versus the alternative, cubic regression are proposed. It is shown that in the case of a simple design consisting of multiple Y observations at each of the four levels of x, the proposed tests perform reasonably well as compared to their parametric competitors, while in the case of a general design consisting of a large number of levels of x, the loss in Pitman efficiency is considerable. However their computational simplicity appears remarkable.},
author = {Gore, A. P., Madhava Rao, K. S.},
journal = {Trabajos de Estadística e Investigación Operativa},
keywords = {Regresión cuadrática; Estudio estadístico; Parámetros; nonparametric regression; sign test; Wilcoxon tests; null hypothesis of quadratic regression; cubic regression; Pitman efficiency},
language = {eng},
number = {1},
pages = {112-120},
title = {Sign and Wilcoxon tests for quadratic versus cubic regression.},
url = {http://eudml.org/doc/40754},
volume = {35},
year = {1984},
}

TY - JOUR
AU - Gore, A. P.
AU - Madhava Rao, K. S.
TI - Sign and Wilcoxon tests for quadratic versus cubic regression.
JO - Trabajos de Estadística e Investigación Operativa
PY - 1984
VL - 35
IS - 1
SP - 112
EP - 120
AB - In this paper sign and Wilcoxon tests for testing the null hypothesis of quadratic regression versus the alternative, cubic regression are proposed. It is shown that in the case of a simple design consisting of multiple Y observations at each of the four levels of x, the proposed tests perform reasonably well as compared to their parametric competitors, while in the case of a general design consisting of a large number of levels of x, the loss in Pitman efficiency is considerable. However their computational simplicity appears remarkable.
LA - eng
KW - Regresión cuadrática; Estudio estadístico; Parámetros; nonparametric regression; sign test; Wilcoxon tests; null hypothesis of quadratic regression; cubic regression; Pitman efficiency
UR - http://eudml.org/doc/40754
ER -

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