Statistics How To

Probability Distributions > The Von Mises Fisher Distribution (vMF) is an important isotropic distribution for directional data and statistics. “Directional” statistics are simply statistics that have direction as well as magnitude, like gene expression data, wind current directions or measurements taken from compasses (Dhillon & Sra, 2003). The von Mises Fisher Distribution is a generalization … Read more

Probability > The countable additivity axiom states that the probability of a union of a finite collection (or countably infinite collection) of disjoint events* is the sum of their individual probabilities. In other words, given an infinite sequence of disjoint events A1, A2, A3, … then their total probability is: P(A1, ∪ A2 ∪ + … Read more

Post Hoc tests > Familywise Error Rate What is the Familywise Error Rate? The familywise error rate (FWE or FWER) is the probability of a coming to at least one false conclusion in a series of hypothesis tests . In other words, it’s the probability of making at least one Type I Error. The term … Read more

Statistics Definitions > Geometric Mean   Contents. Basics: How to Find the Geometric Mean. Technology Options. Real Life Uses. More Advanced Info: Equal Ratios and a Geometric Explanation. Logarithmic Values and Dealing with Negative Numbers. Arithmetic Mean-Geometric Mean Inequality Antilog of a Geometric Mean Geometric Mean Definition and Formula Watch the video for three examples … Read more

Probability and Statistics > TI83 for Statistics > Free TI83 calculator online. Buying a TI83 calculator for class can be a chunk out of your budget, especially if you have to wait a few weeks for your financial aid to come in. With statistics classes, a good graphing calculator is a must. Did you know … Read more

Statistics Definitions > A likelihood method is a measure of how well a particular model fits the data; They explain how well a parameter (θ) explains the observed data. The logarithms of likelihood, the log likelihood function, does the same job and is usually preferred for a few reasons: The log likelihood function in maximum … Read more

ANOVA > In ANOVA, the grand mean of a set of multiple subsamples is the mean of all observations: every data point, divided by the joint sample size. If you don’t have information on all the data available to you, you can also: Locate the subsample means in the ANOVA output (i.e. find the mean … Read more

TI 89 for Statistics > How To Expand A Binomial On The TI-89 A binomial is a type of polynomial that has two terms (bi means two), usually joined by a plus or a minus sign. For example, 4x + 10 and 3x – 8 are both binomials. If a binomial has been raised to … Read more

Probability > You may want to read this other article first: What is Conditional Probability? The conditional expectation (also called the conditional mean or conditional expected value) is simply the mean, calculated after a set of prior conditions has happened. Put more formally, the conditional expectation, E[X|Y], of a random variable is that variable’s expected … Read more

Regression analysis > Generalized Linear Model What is the Generalized Linear Model? The generalized linear model (GLZ) is a way to make predictions from sets of data. It takes the idea of a general linear model (for example, a linear regression equation) a step further. A general linear model (GLM) is the type of model … Read more