Statistical theory

Goodness of fit

The goodness of fit of a statistical model describes how well it fits a set of observations. Measures of goodness of fit typically summarize the discrepancy between observed values and the values expected under the model in question. Such measures can be used in statistical hypothesis testing, e.g. to test for normality of residuals, to test whether two samples are drawn from identical distributions (see Kolmogorov–Smirnov test), or whether outcome frequencies follow a specified distribution (see Pearson's chi-square test). In the analysis of variance, one of the components into which the variance is partitioned may be a lack-of-fit sum of squares. (Wikipedia).

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Exact test of goodness of fit using R

In this video I talk about the binomial exact goodness of fit test. This test calculates a p value directly, as with other exact tests. It considers a categorical variable (or discrete numerical variable if only the counts are considered) with a dichotomous sample space. Once of the val

From playlist Statistics

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OCR MEI Statistics Minor K: Goodness of Fit Tests: 01 Introduction

https://www.buymeacoffee.com/TLMaths Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ Many, MANY thanks to Dea

From playlist OCR MEI Statistics Minor K: Goodness of Fit Tests

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Chi Squared Goodness of Fit [GOF] on M and Ms Distribution

A classroom data-collecting activity on the distribution of M & M colors and performing and interpreting a Chi squared Goodness of Fit [GOF] test

From playlist Unit 10: Chi Squared

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How to become a better person

It sounds normal to say one's out to become a fitter person; but it sounds weird to say one would like to be a nicer or better person. It shouldn't - so here is a guide to 10 virtues of a nice person. If you like our films, take a look at our shop (we ship worldwide): https://goo.gl/jpBF

From playlist SELF

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The Chi-Square Goodness of Fit Test (15-2)

The chi-square test for goodness of fit is one of the most popular and versatile of the non-parametric statistics. Invented by Karl Pearson, the chi-square “goodness of fit” tests hypotheses about the proportions of a population distribution. It tests whether the proportions from the obtai

From playlist WK15 Chi-Square & Non-Parametric Alternatives - Online Statistics for the Flipped Classroom

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Chi-squared Goodness of Fit Test! Extensive video!

See all my videos at https://www.zstatistics.com/ 0:42 INTRODUCTION 3:40 EXAMPLE 1 - Formal goodness of fit test (1 df) 17:02 ADVANCED - Where is the normal distribution hiding?? 22:56 EXAMPLE 2 - Formal goodness of fit test (2 df) Formula proof: It actually exists neatly on the wikipedi

From playlist Hypothesis testing

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Line of Best Fit (1 of 2: Overview)

More resources available at www.misterwootube.com

From playlist Bivariate Data Analysis

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Chi-Square Distribution: Goodness of Fit Test (Absent Days)

This lesson provides an example of how to perform a hypothesis test using the chi-square distribution.

From playlist The Chi-Square Distribution

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How Being A "Nice Guy" Is Sabotaging Your Relationships

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10. Understanding Experimental Data (cont.)

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From playlist MIT 6.0002 Introduction to Computational Thinking and Data Science, Fall 2016

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From playlist Puzzles!

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R - Path Analysis, Estimation, Fit Indices Part 2

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From playlist Structural Equation Modeling 2020

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R - Fit Indices Lecture

Lecturer: Dr. Erin M. Buchanan Missouri State University Summer 2016 This lecture covers a wide variety of fit indices, their theoretical backgrounds, suggested scores, and some formulae for various indices. Lecture materials and assignment available at statisticsofdoom.com. https://sta

From playlist Structural Equation Modeling

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JASP 0.14 Tutorial: Confirmatory Factor Analysis (CFA) (Episode 30)

EDIT/CORRECTION: There's an error in my description of the chi-square model fit outcome. I state that it is good that the p-value is very small and reflects a good model fit. As mentioned by a keen viewer, this chi-square application is the opposite for other NHST outcomes. Here, a signifi

From playlist JASP Tutorials

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Using Syntax in Structural Equation Modeling in Jamovi | Part 2

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From playlist Jamovi software

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This video follows from where we left off in Part 2 in this series on the details of Logistic Regression. Last time we saw how to fit a squiggly line to the data. This time we'll learn how to evaluate if that squiggly line is worth anything. In short, we'll calculate the R-squared value a

From playlist StatQuest

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Lec 17 | MIT 6.00SC Introduction to Computer Science and Programming, Spring 2011

Lecture 17: Curve Fitting Instructor: John Guttag View the complete course: http://ocw.mit.edu/6-00SCS11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.00SC Introduction to Computer Science and Programming

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One-Way Goodness of Fit Chi-Square by Hand – No Difference (15-4)

As we learned from regression, the best predictor of future behavior is past behavior. So now we are going to learn a non-parametric test that will tell us whether the way things are is a good fit to the way we expect them to be. I’ve got a Bloody Good Chi Square, using a one-way Chi-Squar

From playlist WK15 Chi-Square & Non-Parametric Alternatives - Online Statistics for the Flipped Classroom

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The Importance of Atonement

The idea of ‘atonement’ sounds very old-fashioned and is deeply rooted in religious tradition. To atone means, in essence, to acknowledge one’s capacity for wrongness and one’s readiness for apology and desire for change. It’s a concept that every society needs at its center. For gifts and

From playlist RELATIONSHIPS

Related pages

Shapiro–Wilk test | Regression analysis | Regression validation | Hosmer–Lemeshow test | Analysis of variance | Cramér–von Mises criterion | Normality test | Cumulative distribution function | Mallows's Cp | Probability | Null hypothesis | Weibull distribution | Anderson–Darling test | Kolmogorov–Smirnov test | Generalized linear model | All models are wrong | Akaike information criterion | Theil–Sen estimator | Deviance (statistics) | Statistical model | Lack-of-fit sum of squares | Bayesian information criterion | Overfitting | G-test | Probability distribution | Statistical hypothesis testing | Degrees of freedom (statistics) | Coefficient of determination | Expected value | Kuiper's test | Natural logarithm | Statistical significance | Chi-squared test | Statistical model validation