Introduction to Statistical Models in Geology

by W.C. Krumbein, Franklin A. Graybill

From the preface of book, published 1965: During the past ten years several new elements have entered applications of statistics in geology. One is an increasing shift from descriptive to analytical statistics, largely through greater use of formal statistical models. A second element is the growing emphasis on multivariate rather than univariate modes of analysis, brought about mainly by increased availability of the high-speed computer. A third element is the recent rapid increase in the literature on geological models and their mathematical implementation by statistical counterparts. This combination of new tools and enlarged concepts provides the framework in which the present volume is set. This book primarily treats statistical models in terms of “driving forces” which give a geo- logical observation the magnitude and properties that it has. We wish to emphasize that this is not a statistics book. Rather, it is intended for the geologist as a guide to formalizing the ideas that arise from his data and to selecting valid methods for obtaining additional data to test his concepts. Statistical and probabilistic techniques are the essential tools for this inductive inference, and we lay particular stress on the importance of geological reasoning in drawing valid inferences from observational data. In this sense the science of statistics is mainly a body of principles and procedures that help formalize and sharpen geological generalizations drawn from observed phenomena.

475 pages, Hardcover

First published January 1, 1966