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Showing 1 to 5 of 5 for “"Lack of Fit Test"”.
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Model-robust quantal regression
In the analysis of quantal dose-response data, the most commonly used parametric procedure is logistic regression, commonly referred to as "logit analysis." The adequacy of the fit by the logistic regression curve is tested using the chi-square lack-of-fit test. If the lack-of-fit test is not …
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Sequential robust response surface strategy
… Surface Methodology involves the exploration of some response variable which is a function of other controllable variables. Many criteria exist for selecting an experimental design for the controllable variables. A good choice of a design is one that may not be optimal in a single sense, but …
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Response surface designs for the detection of model inadequacy
… approximates the true response function, so a lack of fit test is used as part of the analysis. We suppose that the true response function is η₁(x) = x₁’ β₁ + x₂’ β₂. The power of the usual lack of fit test is a monotone increasing function of the non-centrality parameter λ = σ⁻² β₂’ L β₂, …
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DESIGNS FOR TESTING LACK OF FIT FOR A CLASS OF SIGMOID CURVE MODELS
… essential to accurately estimate the parameters of the model. In contrast to a large literature and extensive results on optimal designs for linear models, research on the design for nonlinear, including sigmoid curve, models has not kept pace. Furthermore, most of the work in the optimal design …
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Fractional Polynomial Response Surfaces and Tests for "Bumpature"
<p> Low-order polynomial models often do not fit curvilinear relationships well. Even if these models provide adequate fit, there are often problems with error assumptions and, with quadratic models, perhaps a spurious minimum or maximum in the fitted surface. With limited data, nonparametric …