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It examines the use of computers in statistical data analysis. Enter a word or phrase in the dialogue box, e. Why Is Every Thing Priced One Penny Off the Dollar? You Must Look at Your Scattergrams! How to determine if Two Regression Lines Are Parallel? The ratio of two log-normally distributed variables is log-normal. Rayleigh Application: Gives distribution of radial error when the errors in two mutually perpendicular axes are independent and normally distributed around zero with equal variances.
Comments: Special case of Weibull distribution. Classical Probability in the Enlightenment, Princeton University Press, 1988. The book points out that early Enlightenment thinkers could not face uncertainty. A mechanistic, deterministic machine, was the Enlightenment view of the world.
Philosophical Theories of Probability, Routledge, 2000. Covers the classical, logical, subjective, frequency, and propensity views. The Emergence of Probability, Cambridge University Press, London, 1975. A philosophical study of early ideas about probability, induction and statistical inference. Counting for Something: Statistical Principles and Personalities, Springer, New York, 1987. It teaches the principles of applied economic and social statistics in a historical context. Featured topics include public opinion polls, industrial quality control, factor analysis, Bayesian methods, program evaluation, non-parametric and robust methods, and exploratory data analysis.
The Rise of Statistical Thinking, 1820-1900, Princeton University Press, 1986. The author states that statistics has become known in the twentieth century as the mathematical tool for analyzing experimental and observational data. The History of Statistics: The Measurement of Uncertainty Before 1900, U. It covers the people, ideas, and events underlying the birth and development of early statistics. The Statistical Pioneers, Schenkman Books, New York, 1984.
This work provides the detailed lives and times of theorists whose work continues to shape much of the modern statistics. They are introduced sequentially in time by necessity. The perception of a crisis in statistical community calls forth demands for “foundation-strengthens”. After the crisis is over, things may look different and historians of statistics may cast the event as one in a series of steps in “building upon a foundation”. So we can read histories of statistics, as the story of a pyramid built up layer by layer on a firm base over time. What Type of Statistician Are You? Plato, Jan von, Creating Modern Probability, Cambridge University Press, 1994.
This book provides a historical point of view on subjectivist and objectivist probability school of thoughts. Tanur, The Subjectivity of Scientists and the Bayesian Approach, Wiley, 2001. Comparing and contrasting the reality of subjectivity in the work of history’s great scientists and the modern Bayesian approach to statistical analysis. One person’s simple event is another person’s compound event. One researcher may ask, of a newly discovered planet, “what is the probability that life exists on the new planet? Williamson, Foundations of Bayesianism, Kluwer Academic Publishers, 2001. Contains Logic, Mathematics, Decision Theory, and Criticisms of Bayesianism.
Operational Subjective Statistical Methods, Wiley, 1996. Presents a systematic treatment of subjectivist methods along with a good discussion of the historical and philosophical backgrounds of the major approaches to probability and statistics. Subjective and Objective Bayesian Statistics: Principles, Models, and Applications, Wiley, 2002. Fuzzy Set Theory, Kluwer Academic Publishers, 1991.