Timeline for Is the normal distribution a better approximation to the binomial distribution with proportions near or far from 0.5?
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 28, 2017 at 23:00 | comment | added | Glen_b | I agree, what looks like an $n$ is actually a $\pi$ (representing a population proportion). One widely used computer typeface ("font") makes them almost indistinguishable. | |
| Jan 18, 2017 at 12:15 | history | tweeted | twitter.com/StackStats/status/821692558610989058 | ||
| Jan 15, 2017 at 21:07 | answer | added | Hagen von Eitzen | timeline score: 3 | |
| Jan 15, 2017 at 20:41 | history | edited | Harvey Motulsky | CC BY-SA 3.0 |
Changed title to make it more general.
|
| Jan 15, 2017 at 19:34 | comment | added | David Lane | Note that the screen capture makes the Greek letter pi look like an "n." | |
| Jan 15, 2017 at 18:18 | vote | accept | CopperKettle | ||
| Jan 15, 2017 at 18:07 | answer | added | Antoni Parellada | timeline score: 11 | |
| Jan 15, 2017 at 17:57 | comment | added | Michael R. Chernick | Those histograms tell the story and maybe better than my words. | |
| Jan 15, 2017 at 17:21 | comment | added | CopperKettle | @MichaelChernick - I found this page that explained the issue to me | |
| Jan 15, 2017 at 16:44 | comment | added | CopperKettle | @MichaelChernick - I have no Java enabled in my Chrome browser. It looks like this language is not much used nowadays (I'm not that computer savvy, but it looks so to me).. | |
| Jan 15, 2017 at 15:12 | comment | added | Michael R. Chernick | But if you do a simulation with p=.2 and N=10 and look at the histogram from repeating the process say 1000 times and do the same for p=.5 you can visually compare the histograms and see which one looks closer to a normal distribution. | |
| Jan 15, 2017 at 15:09 | comment | added | Michael R. Chernick | What is not clear to me is what n and N are. My presumption is that n is the sample size and N would be the population size but this is a problem involving an infinite population. But on the other hand it looks like N and p are the parameters of the binomial distribution. The point of the question relates only to the normal approximation and the sample estimate of p, So consider the sample estimate of p from a sample of size N and calculate its variance when the true parameter is .2 and when it is .5. Which one has the smaller variance. It does not require a simulation to answer it. | |
| Jan 15, 2017 at 14:33 | history | asked | CopperKettle | CC BY-SA 3.0 |