Nonparametric statistics | Statistical tests | Covariance and correlation

Hoeffding's independence test

In statistics, Hoeffding's test of independence, named after Wassily Hoeffding, is a test based on the population measure of deviation from independence where is the joint distribution function of two random variables, and and are their marginal distribution functions.Hoeffding derived an unbiased estimator of that can be used to test for independence, and is consistent for any continuous alternative. The test should only be applied to data drawn from a continuous distribution, since has a defect for discontinuous , namely that it is not necessarily zero when . This drawback can be overcome by taking an integration with respect to . This modified measure is known as Blum–Kiefer–Rosenblatt coefficient. A paper published in 2008 describes both the calculation of a sample based version of this measure for use as a test statistic, and calculation of the null distribution of this test statistic. (Wikipedia).

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Excel for Statistics 8c--Independent-samples t-tests

This video explains how to conduct independent-samples t-tests in Excel.

From playlist RStats Videos

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Hitler gets a Haircut.

1efMxkzVHzyLaTFcvXZ9GKLKrB7MBmbKT

From playlist Interviews and Shows

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A02 Independence of the solution set

The independence of a linear system. How to make sure that a set of solutions are not constant multiples of each other.

From playlist A Second Course in Differential Equations

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Levene’s Test of Homogeneity of Variance in SPSS (11-3)

One important assumption about the Independent-Samples t Test is that the variances in the sample groups are approximately equal. We assume that the samples have “homogeneity of variance.” Levene’s Test for Equality of Variances is a test of whether the variances of the two samples/groups

From playlist WK11 Independent Sample t Tests and Paired t Tests - Online Statistics for the Flipped Classroom

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Lecture 9 - Approx/Estimation Error & ERM | Stanford CS229: Machine Learning (Autumn 2018)

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3ptwgyN Anand Avati PhD Candidate and CS229 Head TA To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-autumn2018.h

From playlist Stanford CS229: Machine Learning Full Course taught by Andrew Ng | Autumn 2018

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Lecture 04 - Error and Noise

Error and Noise - The principled choice of error measures. What happens when the target we want to learn is noisy. Lecture 4 of 18 of Caltech's Machine Learning Course - CS 156 by Professor Yaser Abu-Mostafa. View course materials in iTunes U Course App - https://itunes.apple.com/us/course

From playlist Machine Learning Course - CS 156

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Chi-Squared Test of Independence with SPSS

This demonstration shows you how to conduct a Chi-Squared Test of Independence (Test of Association) with SPSS. This demonstration corresponds to Introduction to Statistics, Think & Do, by Scott Stevens (www.StevensStats.com).

From playlist SPSS Demonstrations

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Lecture 02 - Is Learning Feasible?

Is Learning Feasible? - Can we generalize from a limited sample to the entire space? Relationship between in-sample and out-of-sample. Lecture 2 of 18 of Caltech's Machine Learning Course - CS 156 by Professor Yaser Abu-Mostafa. View course materials in iTunes U Course App - https://itunes

From playlist Machine Learning Course - CS 156

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Lecture 05 - Training Versus Testing

Training versus Testing - The difference between training and testing in mathematical terms. What makes a learning model able to generalize? Lecture 5 of 18 of Caltech's Machine Learning Course - CS 156 by Professor Yaser Abu-Mostafa. View course materials in iTunes U Course App - https://

From playlist Machine Learning Course - CS 156

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Intro to The F Test

Overview of the F-Test. What it is and how it works with general steps and assumptions.

From playlist F Test

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Stanford CS234: Reinforcement Learning | Winter 2019 | Lecture 15 - Batch Reinforcement Learning

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/ai Professor Emma Brunskill, Stanford University http://onlinehub.stanford.edu/ Professor Emma Brunskill Assistant Professor, Computer Science Stanford AI for Hu

From playlist Stanford CS234: Reinforcement Learning | Winter 2019

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Stanford CS234: Reinforcement Learning | Winter 2019 | Lecture 11 - Fast Reinforcement Learning

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/ai Professor Emma Brunskill, Stanford University http://onlinehub.stanford.edu/ Professor Emma Brunskill Assistant Professor, Computer Science Stanford AI for Hu

From playlist Stanford CS234: Reinforcement Learning | Winter 2019

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Lecture 06 - Theory of Generalization

Theory of Generalization - How an infinite model can learn from a finite sample. The most important theoretical result in machine learning. Lecture 6 of 18 of Caltech's Machine Learning Course - CS 156 by Professor Yaser Abu-Mostafa. View course materials in iTunes U Course App - https://i

From playlist Machine Learning Course - CS 156

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07 Independent Samples t-Tests in SPSS – SPSS for Beginners

2021 NEW SERIES for SPSS 27: https://youtu.be/PN-H8GikRQ0 Another way of measuring the difference between two samples is to compare two unrelated groups or participants or samples. In this design, you measure two groups one time; in contrast, the previous paired test measured the same samp

From playlist Introduction to SPSS Statistics 27

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A Combinatorial Proof of the Chernoff-Hoeffding Bound...- Valentine Kabanets

Valentine Kabanets Simon Fraser University; Institute for Advanced Study March 30, 2010 We give a simple combinatorial proof of the Chernoff-Hoeffding concentration bound for sums of independent Boolean random variables. Unlike the standard proofs, our proof does not rely on the method of

From playlist Mathematics

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A Gentle Introduction to the Independent Samples t Test (11-2)

The independent samples t test compares one sample mean to another sample mean. It is widely used in statistics and will help us understand other statistical tests that we will learn later, such as ANOVA. The Independent Samples t Test, sometimes called “t for two,” is a parametric procedu

From playlist WK11 Independent Sample t Tests and Paired t Tests - Online Statistics for the Flipped Classroom

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Gabriela Ciolek - Sharp Bernstein and Hoeffding type inequalities for regenerative Markov chains

The purpose of this talk is to present Bernstein and Hoeffding type functional inequalities for regenerative Markov chains. Furthermore, we generalize these results and show exponential bounds for suprema of empirical processes over a class of functions F which size is controlled by its un

From playlist Les probabilités de demain 2017

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Lecture 07 - The VC Dimension

The VC Dimension - A measure of what it takes a model to learn. Relationship to the number of parameters and degrees of freedom. Lecture 7 of 18 of Caltech's Machine Learning Course - CS 156 by Professor Yaser Abu-Mostafa. View course materials in iTunes U Course App - https://itunes.apple

From playlist Machine Learning Course - CS 156

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Models of Superdeterminism

We discuss Hossenfelder's recent papers on Quantum Mechanics frameworks, see https://arxiv.org/search/?searchtype=author&query=Hossenfelder Here's my notes while reading the paper, links are found at the beginning of it https://gist.github.com/Nikolaj-K/37faa8a7a7afb5fa376ee09ebba0a545

From playlist Physics

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Integral | Distance correlation | Independence (probability theory) | Alternative hypothesis | Marginal distribution | Correlation | Consistent estimator | Spearman's rank correlation coefficient | Statistics