Size of this preview: 568 × 599 pixels. Other resolutions: 228 × 240 pixels | 455 × 480 pixels | 734 × 774 pixels.
Original file (734 × 774 pixels, file size: 13 KB, MIME type: image/png)
 | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
| Description |
English: Illustration of the idea of statistical power for a two sided test. Made in R. |
| Date | |
| Source | Own work |
| Author | Fangz |
Source code:
par(mfrow = c(2,1), mar = c(2,2,2,2)) t = seq(-4,9, len=200) plot(t,dnorm(t), type="l", col=0, axes= F, xlab = "", ylab="") crt= qnorm(0.975) polygon(c(crt,crt, t[t>crt]), c(0,dnorm(crt), dnorm(t)[t>crt]), col = 4, lty=0) polygon(-c(crt,crt, t[t>crt]), c(0, dnorm(crt) ,dnorm(t)[t>crt]), col = 4, lty=0) abline(h=0) lines(t,dnorm(t), type="l") text(-4.5,0.4, "Distribution of statistic under\nNull hypothesis", adj=c(0,0), xpd=NA) text(3.5, 0.23, "Critical value - value of statistic such \nthat probability of rejection under Null\n(blue area) equals desired\nsignificance level (e.g. 0.05)", adj=c(0,0)) tt= -1 arrows(-2, 0.37, tt, dnorm(tt), length = 0.1) arrows( 6, 0.2, crt, 0.1, length = 0.1) plot(t,dnorm(t-crt - qnorm(0.9)), type="l", col=0, axes= F, xlab = "", ylab="") crt= qnorm(0.975) polygon(c(crt, crt, t[t>crt]), c(0,dnorm( -qnorm(0.9)), dnorm(t-crt - qnorm(0.9))[t>crt]), col = 2, lty=0) lines(t,dnorm(t-crt - qnorm(0.9)), type="l") abline(h=0) abline(v = qnorm(0.975), xpd=NA, lty=2) text(-4.5,0.4, "Distribution of statistic under\nAlternative hypothesis", adj=c(0,0), xpd=NA) text(5, 0.3, "Power of test - Probability\nstatistic exceeds critical\nlevel under alternative\n(red area)", adj=c(0,0), xpd=NA) arrows( 6.5, 0.27, 4, 0.1, length = 0.1) tt= 0.9 arrows(-2, 0.37, tt, dnorm(tt-crt-qnorm(0.9)), length = 0.1)
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
|
This media file is uncategorized.
Please help improve this media file by adding it to one or more categories, so it may be associated with related media files (how?), and so that it can be more easily found.
Please notify the uploader with {{subst:Please link images|File:PowerOfTest.png}} ~~~~ |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 14:01, 18 July 2024 | | 734 × 774 (13 KB) | Fangz | Uploaded own work with UploadWizard |
File usage
The following page uses this file:
