Raymond H. Myers

Virginia Tech | VT · Department of Statistics

With generalized linear model (GLM) two important issues surface: the distribution of the response and the model that relates the mean response to the regression variables. This chapter first deals with GLMs in the general framework along with illustrations as to how it applies in the special cases of the binomial and Poisson cases. An important un...

The basic modeling tool considered in this chapter remains generalized linear models. The chapter begins with the subject of data layout for a situation involving longitudinal data. The iterative routine for estimation of regression coefficients also provides iterative estimation of correlation with methodology that utilizes and is consistent with...

This chapter describes the technical machinery for two very important members of the family of generalized linear models, namely, logistic regression and Poisson regression. Both find extensive application in biological, biomedical, and environmental problems. The chapter illustrates examples of dose-response relationships. Both logistic and Poisso...

This chapter talks about generalized linear models (GLMs) and deals with some of the theory and practical aspects of using the linear regression model. Linear regression models often arise as empirical models for more complex, and generally unknown phenomena. Nonlinear regression models play a very important role in science and engineering, and the...

Parameter design is an engineering methodology intended as a cost-effective approach for improving the quality of products and processes. The assumption is that there are both controllable factors (control variables) and uncontrollable/difficult to control factors (noise variables) that operate on the quality characteristic of a process. The goal o...

Praise for the First Edition "The obvious enthusiasm of Myers, Montgomery, and Vining and their reliance on their many examples as a major focus of their pedagogy make Generalized Linear Models a joy to read. Every statistician working in any area of applied science should buy it and experience the excitement of these new approaches to familiar act...

This article considers the construction of simulation designs for the ordinary least squares estimation of second-order metamodels. Two premises underlie the development of these experimental strategies. First it is assumed that the postulated metamodel may be misspecified due to the true model structure being of third-order. It is therefore import...

In a 1983 article in this journal Kleijnen proposed a lack-of-fit cross-validation test for validating regression metamodels in computer simulation. His procedure utilizes additional information frequently available in simulation to obtain independent estimates of the response variance at each design point. Kleijnen notes that one drawback of his s...

Simulation metamodels find application in the study of complex systems that cannot be solved analytically. These metamodels represent efficient tools for studying the characteristics of the more complicated simulation model, provide needed insight into the problems of computer model validation and verification, and allow for the prediction of both...

This article considers the selection of experimental designs for the estimation of second-order response surface metamodels in a simulation environment. Rather than construct designs based on the premise that the postulated model exactly represents the simulated response, as is the case in optimal design theory, we assume that the estimation proces...

It is more than a decade since Genichi Taguchi's ideas on quality improvement were inrroduced in the United States. His parameter-design approach for reducing variation in products and processes has generated a great deal of interest among both quality practitioners and statisticians. The statistical techniques used by Taguchi to implement paramete...

This department publishes articles of interest to statistical practitioners. Innovative applications of known methodology may be suitable, but sizable case studies should be submitted to other journals. Brief descriptions and illustrations of new developments that are potentially useful in statistical practice are appropriate. Acceptable articles s...

A procedure is developed for the construction of sequential simulation designs for the estimation of firstand second-order response surface met amodela. The first stage of experimentation involves the use of a fractional two-level factorial design augmented with replicated center points. Information obtained from this experimental design is used to...

One of the fundamental purposes of response surface methodology is to develop a relatively simple linear model to explain a more complex phenomenon. Since the proposed model is only an approximation, analysts almost always must address the potential of bias due to model misspecification. This article proposes a graphical approach for evaluating res...

This paper presents some experimental design strategies for simulation studies involving the estimation of quadratic response surfaces. Optimal design plans are developed in four common second-order design classes (central composite, Box-Behnken, three-level factorial, and small composite designs) using a criterion which incorporates both the bias...

This paper examines three general strategies for the assignment of pseudorandom number streams to simulation experiments in quadratic response surface designs. Comparisons of these variance-reduction schemes are presented for four design criteria that collectively address the two goals of response surface methodology: prediction and optimization.

Traducción de: Probability and Statisctics for Engineers and Scientists

Traducción de: Probability and Statisctics for Engineers and Scientists Contenido: Introducción a la estadística y al análisis de datos; Probabilidad; Variables aleatorias y distribuciones de probabilidad; Esperanza matemática; Algunas distribuciones de probabilidad discreta; Algunas distribuciones continuas de probabilidad; Funciones de variable a...

Traducción de: Probability and statistics for ingeneers and scientists Incluye bibliografía e índice

Incluye bibliografía e índice

Traducción de: Probability and statistics for engineers and scientists Incluye bibliografía e índice

Traducción de: Probality and statistics for engineers and scientists