Axiomatic Probability

Axiomatic probability is a unifying probability theory. It sets down a set of axioms (rules) that apply to all of types of probability, including frequentist probability and classical probability. These rules, based on Kolmogorov’s…

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Probability interpretations

The word probability has been used in a variety of ways since it was first applied to the mathematical study of games of chance. Does probability measure the real, physical tendency of something…

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Event Space

An event space contains all possible events for a given experiment or happening. An event is just a set of outcomes of an experiment, combined with their probability. And an “experiment” has a meaning a little…

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What is a Venn Diagram

A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items. Often, they serve to graphically organize things, highlighting how…

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Sample Spaces and Events

Rolling an ordinary six-sided die is a familiar example of a random experiment, an action for which all possible outcomes can be listed, but for which the actual outcome on any…

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Types of correlation coefficient formulas.

There are several types of correlation coefficient formulas. One of the most commonly used formulas in stats is Pearson’s correlation coefficient formula. If you’re taking a basic stats class, this…

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Correlation Coefficient

Correlation coefficients are used in statistics to measure how strong a relationship is between two variables. There are several types of correlation coefficient: Pearson’s correlation (also called Pearson’s R) is a correlation coefficient commonly…

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What is Correlation?

Correlation is a term that is a measure of the strength of a linear relationship between two quantitative variables (e.g., height, weight). This post will define positive and negative correlations, illustrated with examples and explanations of…

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Curve Fitting

Introduction Historians attribute the phrase regression analysis to Sir Francis Galton (1822-1911), a British anthropologist and meteorologist, who used the term regression in an address that was published in Nature…

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Comparisons of Measures of Dispersion

When data are described by a measure of central tendency (mean, median, or mode), all the scores are summarized by a single value. Reports of central tendency are commonly supplemented…

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