Sign and Wilcoxon tests for quadratic versus cubic regression

• Autores: A. P. Gore, K. S. Madhava Rao
• Localización: Trabajos de estadística e investigación operativa, ISSN 0041-0241, Vol. 35, Nº. 1, 1984, págs. 112-120
• Idioma: inglés
• DOI: 10.1007/bf02888784
• Títulos paralelos:
  • Tests de signo y de Wilcoxon para la regresión cuadrática frente a la cúbica
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• Resumen

  • 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