Timeline for How to test if the mean equals the median?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 17, 2011 at 16:51 | vote | accept | shabbychef | ||
| Apr 18, 2011 at 3:43 | answer | added | Michael Lew | timeline score: 0 | |
| Apr 17, 2011 at 5:01 | comment | added | probabilityislogic | do you have this in mind with a specific model or set of models (some skewed some not skewed) or a non-parametric style test? What will you do if the test comes back "positive" (mean not equal to median)? What will you do if it comes back "negative" or "inconclusive"? | |
| Apr 16, 2011 at 21:10 | answer | added | GaBorgulya | timeline score: 4 | |
| Apr 16, 2011 at 21:09 | history | tweeted | twitter.com/#!/StackStats/status/59362748638838784 | ||
| Apr 16, 2011 at 20:25 | comment | added | shabbychef | @whuber: yes, I am thinking about this as a test of skewness. I recall seeing (sample mean - sample median) / sample standard deviation used some indicator of skewness, with the nice property that it is bound between -/+ 1. As far as the alternative hypothesis, I can go with a one-sided or two sided alternative. | |
| Apr 16, 2011 at 20:14 | comment | added | whuber♦ | Do you have a specific alternative hypothesis in mind? Note, too, that comparing the mean to the median (in some way) often shows up as a test of skewness: that's a good way to search the literature. Check out the recent paper in JSE that shows up as a top hit: Investigating the Investigative Task: Testing for Skewness / An Investigation of Different Test Statistics and their Power to Detect Skewness It reports some simulation results of several tests. | |
| Apr 16, 2011 at 20:11 | history | asked | shabbychef | CC BY-SA 3.0 |