New d3.js visualization: Understanding Significance Testing and Statistical Power

Understanding Significance Testing and Statistical Power. Visualization. By Kristoffer Magnusson

Here is a new visualization created in the same manner as my Cohen’s d vizualisation. This new visualization is an interactive display of classical null hypothesis significance testing and statistical power.

The visualization should work on mobile phones and tablets, but it requires a modern browser that supports SVG. Check it out here.


Written by Kristoffer Magnusson, a researcher in clinical psychology. You should follow him on Bluesky or on Twitter.


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Published February 02, 2014 (View on GitHub)

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A huge thanks to the 175 supporters who've bought me a 422 coffees!

Steffen bought β˜•β˜•β˜•β˜•β˜•β˜•β˜•β˜•β˜•β˜•β˜•β˜• (12) coffees

I love your visualizations. Some of the best out there!!!

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I've been looking for applets that show this for YEARS, for demonstrations for classes. Thank you so much! Students do not need to tolarate my whiteboard scrawl now. I'm sure they'd appreciate you, too.l

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Thank you for putting this together! I am using these visuals and this information to teach my Advanced Quant class.

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I've been using a lot of your ideas in a paper I'm writing and even borrowed some of your code (cited of course). But this site has been so helpful I think, in addition, I owe you a few coffees!

Chip Reichardt bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Hi Krisoffer, these are great applets and I've examined many. I'm writing a chapter for the second edition of "Teaching statistics and quantitative methods in the 21st century" by Joe Rodgers (Routledge). My chapter is on the use of applets in teaching statistics. I could well be describing 5 of yours. Would you permit me to publish one or more screen shots of the output from one or more of your applets. I promise I will be saying very positive things about your applets. If you are inclined to respond, my email address if Chip.Reichardt@du.edu.

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Someone bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Nice work! Saw some of your other publications and they are also really intriguing. Thanks so much!

JDMM bought β˜•β˜•β˜•β˜•β˜• (5) coffees

You finally helped me understand correlation! Many, many thanks... πŸ˜„

@VicCazares bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Good stuff! It's been so helpful for teaching a Psych Stats class. Cheers!

Dustin M. Burt bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Excellent and informative visualizations!

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@metzpsych bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Always the clearest, loveliest simulations for complex concepts. Amazing resource for teaching intro stats!

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For a couple years now I've been wanting to create visualizations like these as a way to commit these foundational concepts to memory. But after finding your website I'm both relieved that I don't have to do that now and pissed off that I couldn't create anything half as beautiful and informative as you have done here. Wonderful job.

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You have an extremely useful site with very accessible content that I have been using to introduce colleagues and students to some of the core concepts of statistics. Keep up the good work, and thanks!

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Keep up the good work!

Michael Villanueva bought β˜•β˜•β˜•β˜•β˜• (5) coffees

I wish I could learn more from you about stats and math -- you use language in places that I do not understand. Cohen's D visualizations opened my understanding. Thank you

Someone bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Thank you, Kristoffer

PΓ₯l from Norway bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Great webpage, I use it to illustrate several issues when I have a lecture in research methods. Thanks, it is really helpful for the students:)

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Joseph Bulbulia bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Hard to overstate the importance of this work Kristoffer. Grateful for all you are doing.

@TDmyersMT bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Some really useful simulations, great teaching resources.

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Thanks for fixing the bug yesterday!

@LinneaGandhi bought β˜•β˜•β˜•β˜•β˜• (5) coffees

This is awesome! Thank you for creating these. Definitely using for my students, and me! :-)

@ICH8412 bought β˜•β˜•β˜•β˜•β˜• (5) coffees

very useful for my students I guess

@KelvinEJones bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Preparing my Master's student for final oral exam and stumbled on your site. We are discussing in lab meeting today. Coffee for everyone.

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What a great site

@Daniel_Brad4d bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Wonderful work!

David Loschelder bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Terrific work. So very helpful. Thank you very much.

@neilmeigh bought β˜•β˜•β˜•β˜•β˜• (5) coffees

I am so grateful for your page and can't thank you enough!Β Β 

@giladfeldman bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Wonderful work, I use it every semester and it really helps the students (and me) understand things better. Keep going strong.

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Sal bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Really super useful, especially for teaching. Thanks for this!

dde@paxis.org bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Very helpful to helping teach teachers about the effects of the Good Behavior Game

@akreutzer82 bought β˜•β˜•β˜•β˜•β˜• (5) coffees

Amazing visualizations! Thank you!

@rdh_CLE bought β˜•β˜•β˜•β˜•β˜• (5) coffees

So good!

tchipman1@gsu.edu bought β˜•β˜•β˜• (3) coffees

Hey, your stuff is cool - thanks for the visual

Hugo QuenΓ© bought β˜•β˜•β˜• (3) coffees

Hi Kristoffer, Some time ago I've come up with a similar illustration about CIs as you have produced, and I'm now also referring to your work:<br>https://hugoquene.github.io/QMS-EN/ch-testing.html#sec:t-confidenceinterval-mean<br>With kind regards, Hugo QuenΓ©<br>(Utrecht University, Netherlands)

Tor bought β˜•β˜•β˜• (3) coffees

Thanks so much for helping me understand these methods!

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Kenneth Nilsson bought β˜•β˜•β˜• (3) coffees

Keep up the splendid work!

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Love this website; use it all the time in my teaching and research.

Someone bought β˜•β˜•β˜• (3) coffees

Powerlmm was really helpful, and I appreciate your time in putting such an amazing resource together!

DR AMANDA C DE C WILLIAMS bought β˜•β˜•β˜• (3) coffees

This is very helpful, for my work and for teaching and supervising

Georgios Halkias bought β˜•β˜•β˜• (3) coffees

Regina bought β˜•β˜•β˜• (3) coffees

Love your visualizations!

Susan Evans bought β˜•β˜•β˜• (3) coffees

Thanks. I really love the simplicity of your sliders. Thanks!!

@MichaMarie8 bought β˜•β˜•β˜• (3) coffees

Thanks for making this Interpreting Correlations: Interactive Visualizations site - it's definitely a great help for this psych student! πŸ˜ƒ

Zakaria Giunashvili, from Georgia bought β˜•β˜•β˜• (3) coffees

brilliant simulations that can be effectively used in training

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Amazing illustrations, there is not enough coffee in the world for enthusiasts like you! Thanks!

Cheryl@CurtinUniAus bought β˜•β˜•β˜• (3) coffees

🌟What a great contribution - thanks Kristoffer!

vanessa moran bought β˜•β˜•β˜• (3) coffees

Wow - your website is fantastic, thank you for making it.

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Thank you Kristoffer This is a nice site, which I have been used for a while. Best Prof. Mikhail Saltychev (Turku University, Finland)

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Keep up the nice work, thank you!

@TELLlab bought β˜•β˜•β˜• (3) coffees

Thanks - this will help me to teach tomorrow!

SCCT/Psychology bought β˜•β˜•β˜• (3) coffees

Keep the visualizations coming!

@elena_bolt bought β˜•β˜•β˜• (3) coffees

Thank you so much for your work, Kristoffer. I use your visualizations to explain concepts to my tutoring students and they are a huge help.

A random user bought β˜•β˜•β˜• (3) coffees

Thank you for making such useful and pretty tools. It not only helped me understand more about power, effect size, etc, but also made my quanti-method class more engaging and interesting. Thank you and wish you a great 2021!

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Used your vizualization in class today. Thanks!

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My students love these visualizations and so do I! Thanks for helping me make stats more intuitive.

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For a high school teacher of psychology, I would be lost without your visualizations. The ability to interact and manipulate allows students to get it in a very sticky manner. Thank you!!!

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You Cohen's d post really helped me explaining the interpretation to people who don't know stats! Thank you!

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Enjoy.

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Teaching stats to civil engineer undergrads (first time teaching for me, first time for most of them too) and grasping for some good explanations of hypothesis testing, power, and CI's. Love these interactive graphics!

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Thank you for using your stats and programming gifts in such a useful, generous manner. -Jess

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Great. Use it for teaching in psychology.

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It is the best statistics visualization so far!

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AMAZING Tool!!! Thank You!

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This has been a wonderful resource for my statistics and research methods classes. I also occassionally use it for other courses such as Theories of Personality and Social Psychology

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Thanks for helping understand stuff!

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Thank you for this great visual. I use it all the time to demonstrate Cohen's d and why mean differences affect it's approximation.

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Great work!

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Angela bought β˜• (1) coffee

Thank you for building such excellent ways to convey difficult topics to students!

@inthelabagain bought β˜• (1) coffee

Really wonderful visuals, and such a fantastic and effective teaching tool. So many thanks!

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Yashashree Panda bought β˜• (1) coffee

I really like your work.

Ben bought β˜• (1) coffee

You're awesome. I have students in my intro stats class say, "I get it now," after using your tool. Thanks for making my job easier.

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Incredibly useful tool!

Shiseida Sade Kelly Aponte bought β˜• (1) coffee

Thanks for the assistance for RSCH 8210.

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Great tools! Thank you very much!

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Hi Kristoffer, many thanks for making all this great stuff available to the community!

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Really helpful visualisations, thanks!

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This is amazing stuff. Very slick.Β 

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Sarko bought β˜• (1) coffee

Thanks so much for creating this! Really helpful for being able to explain effect size to a clinician I'm doing an analysis for.Β 

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Melinda Rice bought β˜• (1) coffee

Thank you so much for creating these tools! As we face the challenge of teaching statistical concepts online, this is an invaluable resource.

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Fantastic resource. I think you would be well served to have one page indexing all your visualizations, that would make it more accessible for sharing as a common resource.

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Fantastic Visualizations! Amazing way to to demonstrate how n/power/beta/alpha/effect size are all interrelated - especially for visual learners! Thank you for creating this?

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Incredible visualizations and the best power analysis software on R.

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Great website!

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Thank you for this work!!

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Nice explanation and visual guide of Cohen's d

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thank you

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thank you for sharing your work.Β 

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Much thanks! Visualizations are key to my learning style!Β 

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Archived Comments (1)

M
Martin Stockler 2018-04-28

Fabulous work Kristoffer: I love it, and the rest of your visualisations!
I'm sure you've been asked before, but it would be wonderful to be able show unpaired, 2-sample z-test, and comparison of 2 proportions!