Empirically Determined p-Values for Lenth t-Statistics

• Autores: David J. Edwards, Robert W. Mee
• Localización: Journal of quality technology: A quarterly journal of methods applications and related topics, ISSN 0022-4065, Vol. 40, Nº. 4, 2008, págs. 368-380
• Idioma: inglés
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• Resumen

  • A popular method for analyzing unreplicated factorials was proposed in 1989 by Russell Lenth. This paper proposes and illustrates the use of p-values, estimated by simulation, for Lenth t-statistics. This approach exhibits versatility in its use of p-values for both orthogonal and non-orthogonal designs, whereas tabulated critical values are restricted to uncorrelated estimates. For cases where there is limited replication, computing t-statistics and corresponding p-values should be done using an estimator that combines pure error mean square with modified Lenth pseudo-standard error.