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SIMULTANEOUS CONFIDENCE INTERVALS FOR VARIANCE COMPONENTS IN TWO-WAY BALANCED CROSSED CLASSIFICATION RANDOM EFFECTS MODEL WITH INTERACTION

Hardeo Sahai, Anwer Khurshid, Mario Ojeda, Fernando Velasco, Birkat Al, Mouz Nizwa, Sultanate Of Oman
2009 REVISTA INVESTIGACIÓN OPERACIONAL   unpublished
In this work simultaneous confidence intervals for the variance components in the two-way balanced crossed random effects model with interaction have been derived under the usual assumptions of normality and independence of random effects. The intervals are conservative in the sense that the true confidence coefficient is as large as preassigned value. The formulas are illustrated using published data with SAS outputs. KEY WORDS: Statistical modeling, Estimation, Mixed linear models, Normality
more » ... models, Normality and independence assumptions. MSC 62J10 RESUMEN En este trabajo se derivan intervalos de confianza simultáneos para los componentes de la varianza en un modelo de efectos aleatorios balanceado de dos vías cruzado con interacción, bajo los supuestos usuales de normalidad e independencia de efectos aleatorios. Los intervalos de confianza son conservadores en el sentido de que el verdadero coeficiente de confianza es tan grande como un valor preasignado. Las fórmulas son ilustradas usando datos publicados y se presentan salidas en SAS.
fatcat:ewqhdtvpsvgbvdujn3z2o5rhdi