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Visualizing Statistics

This collection contains visualizations and animations to help students grasp statistical concepts.

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Chapter 17: Regression

test

 

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Chapter 16: Correlation between numerical variables

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QUBES Community Group: Using R in the Classroom

This is the community group focused on using R in the classroom.  The following links may be of particular interest.

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Visual ANOVA

Created by Thomas Malloy (requires Flash)

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Visualizing a One-Way ANOVA using D3.js

A while ago I was playing around with the JavaScript package D3.js, and I began with this visualization—that I never really finished—of how a one-way ANOVA is calculated. I wanted to make the visualization interactive, and I did integrate some interactive elements. For instance, if you hover over a data point it will show the residual, and its value will be highlighted in the combined computation. The circle diagram show the partitioning of the sums of squares, and if you hover a part it will show from where the variation is coming. I tried to make the plots look like plots from the R-package ggplot2.

Created by Kristoffer Magnusson

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Understanding Statistical Power and Significance Testing: An Interactive Visualization

This visualization is meant as an aid for students when they are learning about statistical hypothesis testing. The visualization is based on a one-sample Z-test. You can vary the sample size, power, signifance level and effect size using the sliders to see how the sampling distributions change.

Created by Kristoffer Magnusson

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Statistical Power and Significance Testing (R Shiny App)

Note:  To run this visualization, you need a QUBES account.  Click here to register (it's free!)

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Central Limit Theorem

From the authors of the textbook:

We have put together a few interactive animations that will illustrate some important statistics concepts (with funding from the University of British Columbia). These are all released into the public domain, so anyone can use them as they wish. Click on the “tutorial” button to be walked through the concepts, or just explore them on your own.

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Confidence limits for the mean

From the authors of the textbook:

We have put together a few interactive animations that will illustrate some important statistics concepts (with funding from the University of British Columbia). These are all released into the public domain, so anyone can use them as they wish. Click on the “tutorial” button to be walked through the concepts, or just explore them on your own.

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Sampling means from a normal distribution

From the authors of the textbook:

We have put together a few interactive animations that will illustrate some important statistics concepts (with funding from the University of British Columbia). These are all released into the public domain, so anyone can use them as they wish. Click on the “tutorial” button to be walked through the concepts, or just explore them on your own.

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Chapter 18: Multiple explanatory variables

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Chapter 17: Regression

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Chapter 16: Correlation between numerical variables

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Chapter 15: The analysis of variance

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Chapter 13: Handling violations of assumptions

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Chapter 12: Comparing two means

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Chapter 11: Inference for a normal population

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Chapter 10: The normal distribution

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Chapter 9: Contingency analysis - associations between categorical variables

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