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ECON 3818-030 Intro to Statistics with Computer Applications
ECON 3818-030 Intro to Statistics with Computer Applications

Chapter 15
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(10) Frequentist Properties of Bayesian Methods
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... Statistics is a mathematical science devoted to data – how it can be intelligently collected, organized, analyzed, and interpreted. This introductory course has three main parts: (1) descriptive statistics, which introduces graphical presentations of data and measures of data sets, such as the mean ...
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... o To conduct the analysis of variance basics using categorical data, the data matrix, understanding types of ANOVA problems, one-factor and two-factor ANOVA F test using calculation of the various sums of squares, testing of the additive two-factor ANOVA model; o To conduct Chi-square and nonparamet ...
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... The main purpose of cumulative course project is for you to demonstrate that you are able to develop and conduct a statistical study, and then use the data collected to make sound connections and judgments between the design and the results of the experiment. You will also be expected to analyze the ...
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Foundations of statistics

Foundations of statistics is the usual name for the epistemological debate in statistics over how one should conduct inductive inference from data. Among the issues considered in statistical inference are the question of Bayesian inference versus frequentist inference, the distinction between Fisher's ""significance testing"" and Neyman-Pearson ""hypothesis testing"", and whether the likelihood principle should be followed. Some of these issues have been debated for up to 200 years without resolution.Bandyopadhyay & Forster describe four statistical paradigms: ""(1) classical statistics or error statistics, (ii) Bayesian statistics, (iii) likelihood-based statistics, and (iv) the Akaikean-Information Criterion-based statistics"".Savage's text Foundations of Statistics has been cited over 10000 times on Google Scholar. It tells the following.It is unanimously agreed that statistics depends somehow on probability. But, as to what probability is and how it is connected with statistics, there has seldom been such complete disagreement and breakdown of communication since the Tower of Babel. Doubtless, much of the disagreement is merely terminological and would disappear under sufficiently sharp analysis.
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