Name
Title | ||
|---|---|---|
Quantile dispersion graphs for evaluating and comparing designs for logistic regression models |
Abstract | ||
|---|---|---|
Designs for fitting a generalized linear model depend on the unknown parameters of the model. The use of any design optimality criterion would therefore require some prior knowledge of the parameters. In this article, a graphical technique is proposed for comparing and evaluating designs for a logistic regression model. Quantiles of the scaled mean-squared error of prediction are obtained on concentric surfaces inside a region of interest, R. For a given design, these quantiles depent on the model's parameters. Plots of the maxima and minima of the quantiles, over a subset of the parameter space, produce the so-called quantile dispersion graphs (QDGs). The plots provide a comprehensive assessment of the overall prediction capability of the design within the region R. They also depict the dependence of the design on the model's parameters. The QDGs can therefore be conveniently used to compare several candidate designs. Two examples are presented to illustrate the proposed methodology. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1016/S0167-9473(02)00182-2 | Computational Statistics & Data Analysis |
Keywords | Field | DocType |
response surface methodology,generalized linear models,comprehensive assessment,binary response,design optimality criterion,concentric surface,generalized linear model,overall prediction capability,design dependence on unknown parameters,proposed methodology,quantiles depent,quantile dispersion graph,prediction bias,candidate design,scaled mean-squared error of prediction,region r,logistic regression model,design optimization,general linear model,region of interest,parameter space | Econometrics,Optimality criterion,Logistic distribution,Linear model,Regression analysis,Mean squared error,Quantile,Generalized linear model,Prior probability,Statistics,Mathematics | Journal |
Volume | Issue | ISSN |
43 | 1 | Computational Statistics and Data Analysis |
Citations | PageRank | References |
4 | 1.22 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kevin S. Robinson | 1 | 4 | 1.22 |
| André I. Khuri | 2 | 7 | 2.01 |