Yanagimoto, Takemi; Yanagimoto, Masakatsu The use of marginal likelihood for a diagnostic test for the goodness of fit of the simple linear regression model. (English) Zbl 0608.62055 Technometrics 29, 95-101 (1987). A novel test procedure is proposed to diagnose the goodness of fit of a simple regression model by applying a marginal likelihood under the assumption of smoothness of the alternative regression curve. No specific form for the alternative regression function is assumed. An advantage of the proposed test procedure is that it simultaneously provides an estimated regression curve (spline). Some existing diagnostic procedures are explored in relation to the one proposed. The procedure is applied to data of a spectrophotometric analysis of mixtures of two types of flour, cornstarch and casein (soybean). Cited in 14 Documents MSC: 62G10 Nonparametric hypothesis testing 62J99 Linear inference, regression 62J05 Linear regression; mixed models Keywords:Durbin-Watson test; omnibus test; goodness of fit; marginal likelihood; diagnostic procedures PDFBibTeX XMLCite \textit{T. Yanagimoto} and \textit{M. Yanagimoto}, Technometrics 29, 95--101 (1987; Zbl 0608.62055) Full Text: DOI