The relation between theory and application in statistics

SummaryGeneral comments on the relation between theory and application in statistics are made and emphasis placed on issues and principles of model formulation. Three examples are described in outline. Criteria for the choice of models are discussed.

[1]  H. Jeffreys,et al.  Theory of probability , 1896 .

[2]  B. D. Finetti La prévision : ses lois logiques, ses sources subjectives , 1937 .

[3]  M. Bartlett PROBABILITY IN LOGIC, MATHEMATICS AND SCIENCE , 1949 .

[4]  Frank Yates,et al.  The Influence of Statistical Methods for Research Workers on the Development of the Science of Statistics , 1951 .

[5]  D. Lindley A STATISTICAL PARADOX , 1957 .

[6]  M. Bartlett A comment on D. V. Lindley's statistical paradox , 1957 .

[7]  D. Lindley The Use of Prior Probability Distributions in Statistical Inference and Decisions , 1961 .

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

[9]  C. R. Rao,et al.  Linear Statistical Inference and its Applications , 1968 .

[10]  D. Lindley The Choice of Variables in Multiple Regression , 1968 .

[11]  W. A. Ericson Subjective Bayesian Models in Sampling Finite Populations , 1969 .

[12]  P. McCullagh,et al.  Generalized Linear Models , 1972, Predictive Analytics.

[13]  I. Good The Bayesian Influence, or How to Sweep Subjectivism under the Carpet , 1976 .

[14]  David Roxbee Cox,et al.  Problems and solutions in theoretical statistics , 1978 .

[15]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[16]  J. Bernardo Expected Information as Expected Utility , 1979 .

[17]  L. Sanathanan,et al.  Estimation with truncated inverse binomial sampling , 1980 .

[18]  C. Cuadras,et al.  Distribution of human chromosomes on the metaphase plate. Symmetrical arrangement in human male cells. , 1980, Genetical research.

[19]  George E. P. Box,et al.  Sampling and Bayes' inference in scientific modelling and robustness , 1980 .

[20]  M. Degroot Discussion: Comments on the Role of Parameters in the Predictive Approach to Statistics , 1982 .

[21]  D. Cox,et al.  Statistical significance tests. , 1982, British journal of clinical pharmacology.

[22]  D. Spiegelhalter,et al.  Bayes Factors for Linear and Log‐Linear Models with Vague Prior Information , 1982 .

[23]  J. Berger,et al.  Testing Precise Hypotheses , 1987 .

[24]  Joseph B. Kadane,et al.  What is the Likelihood Function , 1988 .

[25]  J. Berger Statistical Decision Theory and Bayesian Analysis , 1988 .

[26]  Allan Franklin,et al.  Experiment, right or wrong , 1990 .

[27]  N. Wermuth,et al.  On Substantive Research Hypotheses, Conditional Independence Graphs and Graphical Chain Models , 1990 .

[28]  E. Regazzini,et al.  Some critical aspects of the use of exchangeability in statistics , 1992 .

[29]  Carles M. Cuadras,et al.  Interpreting an Inequality in Multiple Regression , 1993 .

[30]  Leo A. Goodman Correspondence analysis, association analysis, and generalized nonindependence analysis of contingency tables: Saturated and unsaturated models, and appropriate graphical displays , 1993 .

[31]  A. Raftery Bayesian Model Selection in Social Research , 1995 .

[32]  L. Wasserman,et al.  A Reference Bayesian Test for Nested Hypotheses and its Relationship to the Schwarz Criterion , 1995 .

[33]  Carles M. Cuadras,et al.  A continuous metric scaling solution for a random variable , 1995 .

[34]  J. Berger,et al.  The Intrinsic Bayes Factor for Model Selection and Prediction , 1996 .

[35]  James O. Berger,et al.  On The Justification of Default and Intrinsic Bayes Factors , 1996 .