Continuous distributions

Fisher's z-distribution

Fisher's z-distribution is the statistical distribution of half the logarithm of an F-distribution variate: It was first described by Ronald Fisher in a paper delivered at the International Mathematical Congress of 1924 in Toronto. Nowadays one usually uses the F-distribution instead. The probability density function and cumulative distribution function can be found by using the F-distribution at the value of . However, the mean and variance do not follow the same transformation. The probability density function is where B is the beta function. When the degrees of freedom becomes large the distribution approaches normality with mean and variance (Wikipedia).

Fisher's z-distribution
Video thumbnail

Normal Distribution: Find Probability Using With Z-scores Using Tables

This lesson explains how to use tables to determine the probability a data value will have a z-score more than or less and a given z-score. It also shows how to determine the probability between two z-scores. Site: http://mathispower4u.com

From playlist The Normal Distribution

Video thumbnail

Normal Distribution: Z-Scores

This lesson explains how to determine a z-score and how to find a z-score for a given data value. The percent of data above and below a data value and z-score is also found. Site: http://mathispower4u.com

From playlist The Normal Distribution

Video thumbnail

Introduction to the Standard Normal Distribution

This video introduces the standard normal distribution http://mathispower4u.com

From playlist The Normal Distribution

Video thumbnail

Normal Distribution: Find Probability Given Z-scores Using a Free Online Calculator

This video explains how to determine normal distribution probabilities given z-scores using a free online calculator. http://dlippman.imathas.com/graphcalc/graphcalc.html

From playlist The Normal Distribution

Video thumbnail

Normal Distribution: Find Probability Given Z-scores Using a Free Online Calculator (MOER/MathAS)

This video explains how to determine normal distribution probabilities given z-scores using a free online calculator. https://oervm.s3-us-west-2.amazonaws.com/stats/probs.html

From playlist The Normal Distribution

Video thumbnail

Standard Normal Distribution: Relate Standard Deviation to Z-scores

This video relates standard deviations to z-scores. http://mathispower4u.com

From playlist The Normal Distribution

Video thumbnail

Ex 2: Find a Z-score Given the Probabilty of Z Being Greater Than a Given Value

This video explains how to use a TI84 to determine a z-score given the probability of the z-score being greater than unknown z-score. http://mathispower4u.com

From playlist The Normal Distribution

Video thumbnail

9. Parametric Hypothesis Testing (cont.)

MIT 18.650 Statistics for Applications, Fall 2016 View the complete course: http://ocw.mit.edu/18-650F16 Instructor: Philippe Rigollet In this lecture, Prof. Rigollet talked about Wald's test, likelihood ratio test, and testing implicit hypotheses. License: Creative Commons BY-NC-SA More

From playlist MIT 18.650 Statistics for Applications, Fall 2016

Video thumbnail

Normal Distribution: Find a Z Score and a Data Value (General)

This video explains how to determine a z-score and how to use a z-score to determine a data value. http://mathispower4u.com

From playlist The Normal Distribution

Video thumbnail

Guinness, Student, and the History of t Tests (10-1)

We concluded our lesson on z tests with the sad realization that z tests rarely get used in the real world. Instead of using a z test we compare samples to populations using a t test. William Sealy Gosset, a master brewer and a scientist at the Guinness brewery in Dublin, Ireland solved th

From playlist WK10 One Sample t Tests - Online Statistics for the Flipped Classroom

Video thumbnail

The t Distribution: A BREWER’S Solution for Small Samples (13-4)

In the early days of statistics, the lack of replicability created skepticism that statistics could be a science. When using small samples, the results were inconsistent. William Sealy Gosset, a scientist-brewer at Guinness Brewing Company solved the problem of small sample sizes by adjust

From playlist Estimating Intervals, Point Estimators, and Confidence Intervals (WK 13 - QBA 237)

Video thumbnail

Nick Barton & Alison Etheridge: Establishment in a new habitat under the infinitesimal model

Abstract: Maladapted individuals can only colonise a new habitat if they can evolve a positive growth rate fast enough to avoid extinction - evolutionary rescue. We use the infinitesimal model to follow the evolution of the growth rate, and find that the probability that a single migrant c

From playlist Probability and Statistics

Video thumbnail

Why do simple models work? Partial answers from information geometry (Lecture 1) by Ben Machta

26 December 2016 to 07 January 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore Information theory and computational complexity have emerged as central concepts in the study of biological and physical systems, in both the classical and quantum realm. The low-energy landscape of classical

From playlist US-India Advanced Studies Institute: Classical and Quantum Information

Video thumbnail

What is the t-distribution? An extensive guide!

See all my videos at http://www.zstatistics.com/videos/ 0:00 Introduction 2:17 Overview 6:06 Sampling RECAP 12:27 Visualising the t distribution 14:24 Calculating values from the t distribution (EXCEL and t-tables!)

From playlist Distributions (10 videos)

Video thumbnail

Sloppiness and Parameter Identifiability, Information Geometry by Mark Transtrum

26 December 2016 to 07 January 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore Information theory and computational complexity have emerged as central concepts in the study of biological and physical systems, in both the classical and quantum realm. The low-energy landscape of classical

From playlist US-India Advanced Studies Institute: Classical and Quantum Information

Video thumbnail

The Grand Unified Theory of Quantum Metrology - R. Demkowicz-Dobrzanski - Workshop 1 - CEB T2 2018

Rafal Demkowicz-Dobrzanski (Univ. Warsaw) / 15.05.2018 The Grand Unified Theory of Quantum Metrology A general model of unitary parameter estimation in presence of Markovian noise is considered, where the parameter to be estimated is associated with the Hamiltonian part of the dynamics.

From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments

Video thumbnail

Nexus Trimester - Thomas Courtade (UC-Berkeley)

Strong Data Processing and the Entropy Power Inequality Thomas Courtade (UC-Berkeley) February 10, 2016 Abstract: Proving an impossibility result in information theory typically boils down to quantifying a tension between information measures that naturally emerge in an operational setti

From playlist Nexus Trimester - 2016 - Distributed Computation and Communication Theme

Video thumbnail

Sriram Sankararaman: "Evolutionary Models in Population Genomics"

Computational Genomics Summer Institute 2016 "Evolutionary Models in Population Genomics" Sriram Sankararaman, UCLA Institute for Pure and Applied Mathematics, UCLA July 22, 2016 For more information: http://computationalgenomics.bioinformatics.ucla.edu/

From playlist Computational Genomics Summer Institute 2016

Video thumbnail

Normal Distribution: Find Probability Given Z-scores Using Desmos

This video explains how to determine normal distribution probabilities given z-scores using Desmos. https://www.desmos.com/

From playlist The Normal Distribution

Video thumbnail

Modelling Genes

Oxford Mathematics Public Lectures: Alison Etheridge - Modelling Genes How can we explain the patterns of genetic variation in the world around us? The genetic composition of a population can be changed by natural selection, mutation, mating, and other genetic, ecological and evolutionary

From playlist Oxford Mathematics Public Lectures

Related pages

Degrees of freedom (statistics) | Probability density function | F-distribution | Logarithm | Cumulative distribution function | Normal distribution | Beta function