Showing papers by "William G. Hunter published in 1969"

Transformations: Some Examples Revisited

Abstract: Modern computing equipment is extremely fast and can also provide graphical out-put. Prior to the computer era, problems were often formulated in terms of a single numerical criterion which could be handled conveniently on a desk calculator. Now several aspects of a problem or several criteria can be considered simultaneously and a more flexible attitude adopted. The situation then can often be easily understood by the experimenter, and compromise decisions can be made by him. In this paper we consider the particular problem of transforming data from this viewpoint by re-examining some specific published examples.

Designing experiments for precise estimation of all or some of the constants in a mechanistic model

Abstract: An important experimental problem in chemical engineering is to collect data in order to estimate constants such as rate constants and activation energies which are needed, for example, in equipment and plant design. For a given amount of experimental effort, the engineer wants these constants to be estimated as precisely as possible. In this paper, we discuss statistical design procedures that might be used to accomplish this goal. Available procedures are reviewed for estimating precisely all the constants in a mechanistically based mathematical model. In addition, a new procedure is illustrated for precisely estimating only some of the constants which may be of more interest than the others. Un important probleme experimental, dans le domaine du genie chimique, est de recueillir des donnees pour estimer les constantes (comme celles qui ont trait a la vitesse et aux energies d'activation) qui sont necessaires, par exemple, lors de la conception de l'outillage et de l'usine. Pour un certain degre de travail experimental, l'ingenieur desire determiner ces constantes avec autant de precision que possible; on traite, dans le present travail, des procedes de calcul statistique qu'on peut utiliser pour atteindre ce but. On examine les procedes disponibles pour determiner avec precision toutes les constantes dans un modele mathematique du genre mecanistique On illustre egalement un nouveau procede pour estimer avec precision quelques constantes seulement qui peuvent presenter un interet parti-culier.

A Note on Designs for Model Discrimination: Variance Unknown Case

Abstract: The purpose of this note is to derive a design criterion that can be used by investigators Who wish to perform experiments to discriminate among rival models when the variance σ2 is unknown As would be expected, when the number of experiments is large, the expression for this design criterion is almost equivalent to replacing σ2 in the corresponding equation for the case where the variance is known with a suitable estimate s 2

Which Product Is Better

Abstract: Methods are provided for analyzing data of the “prefer A, prefer B, or no preference” type. These methods take proper account, of the “no preference” results and avoid the ad hoc treatments of these responses that are sometimes employed. Some of these treatments are listed by Odesky (1967). An exact solution is given, and some straightforward approximate methods are derived and illustrated.

Analyzing Paired Comparison Tests

Abstract: This article presents a new graphical method for handling data of the “prefer A,” “prefer B,” or “no preference” type. One novel and attractive feature of this analysis (in contrast to other method...