The Experimental Study of Physical Mechanisms

This paper is concerned with the dual problem of generating and analyzing data in experimental investigations in which the goal is to develop a suitable mechanistic model. The problem is first distinguished from that of response surface methodology. With regard to the analysis of data, topics that are discussed include the behavior of estimated constants with an inadequate model, a diagnostic technique for modelbuilding, and the importance of visual scrutiny of data. With regard to the generation of data, the concept of placing a model in jeopardy is discussed. Designs for model discrimination and for parameter estimation are considered.

[1]  A. Wald On the Efficient Design of Statistical Investigations , 1943 .

[2]  G. Elfving Optimum Allocation in Linear Regression Theory , 1952 .

[3]  H. Chernoff Locally Optimal Designs for Estimating Parameters , 1953 .

[4]  O. L. Davies,et al.  Design and analysis of industrial experiments , 1954 .

[5]  G. Box The Exploration and Exploitation of Response Surfaces: Some General Considerations and Examples , 1954 .

[6]  G. Box,et al.  The Exploration and Exploitation of Response Surfaces: An Example of the Link between the Fitted Surface and the Basic Mechanism of the System , 1955 .

[7]  George E. P. Box,et al.  Application of digital computers in the exploration of functional relationships , 1956 .

[8]  J. S. Hunter,et al.  MULTIFACTOR EXPERIMENTAL DESIGN FOR EXPLORING THE RESPONSE SURFACES , 1957 .

[9]  J. S. Hunter,et al.  Multi-Factor Experimental Designs for Exploring Response Surfaces , 1957 .

[10]  M. Stone Application of a Measure of Information to the Design and Comparison of Regression Experiments , 1959 .

[11]  H. L. Lucas,et al.  DESIGN OF EXPERIMENTS IN NON-LINEAR SITUATIONS , 1959 .

[12]  G. Box,et al.  A Basis for the Selection of a Response Surface Design , 1959 .

[13]  J. Kiefer Optimum Experimental Designs , 1959 .

[14]  F. J. Anscombe,et al.  Rejection of Outliers , 1960 .

[15]  E. Beale,et al.  Confidence Regions in Non‐Linear Estimation , 1960 .

[16]  George E. P. Box,et al.  FITTING EMPIRICAL DATA * , 1960 .

[17]  Thomas S. Ferguson,et al.  Discussion of the Papers of Messrs. Anscombe and Daniel , 1960 .

[18]  C. Daniel Locating Outliers in Factorial Experiments , 1960 .

[19]  William Kruskal,et al.  Some Remarks on Wild Observations , 1960 .

[20]  Process Improvement of a Fermentation Product , 1961 .

[21]  D. Cox Tests of Separate Families of Hypotheses , 1961 .

[22]  F. J. Anscombe,et al.  Examination of Residuals , 1961 .

[23]  J. Kiefer Optimum Experimental Designs V, with Applications to Systematic and Rotatable Designs , 1961 .

[24]  G. C. Tiao,et al.  A Further Look at Robustness via Bayes's Theorem , 1962 .

[25]  L. J. Savage The Foundations of Statistical Inference. , 1963 .

[26]  G. Barnard,et al.  Likelihood Inference and Time Series , 1962 .

[27]  David R. Cox,et al.  Further Results on Tests of Separate Families of Hypotheses , 1962 .

[28]  W. G. Hunter,et al.  A Useful Method For Model-Building , 1962 .

[29]  George E. P. Box,et al.  The Effects of Errors in the Factor Levels and Experimental Design , 1963 .

[30]  H. Smith,et al.  SUBJECTIVE RESPONSES IN PROCESS INVESTIGATION , 1963 .

[31]  G. Box,et al.  THE CHOICE OF A SECOND ORDER ROTATABLE DESIGN , 1963 .

[32]  D. W. Behnken Estimation of copolymer reactivity ratios: An example of nonlinear estimation , 1964 .

[33]  Oxidative Dealkylation of Alkylaromatic Hydrocarbons. Selective Vapor-Phase Catalytic Oxidation of Alkylaromatic Hydrocarbons to Their Parent Homologs , 1964 .

[34]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[35]  William G. Hunter,et al.  A model building technique for chemical engineering kinetics , 1964 .

[36]  George E. P. Box,et al.  The Bayesian estimation of common parameters from several responses , 1965 .