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Sep 21, 2017 at 19:52 history protected kjetil b halvorsen
Mar 28, 2015 at 2:38 comment added Glen_b rnso -- don't ask new substantive questions in comments. That's actually a question that's been asked a number of times, you should be able to find some good posts on it.
Mar 27, 2015 at 14:54 history edited rnso CC BY-SA 3.0
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Mar 27, 2015 at 4:32 comment added rnso Thanks. I should have read the article more carefully. However, it is usually not emphasized while recommending comparison of groups that F-test should also be done along with tests to compare means. Alternatively, is it recommended that the KS test should be done in almost all comparison of groups so that difference in standard deviation is also picked up even if the means are not different?
Mar 27, 2015 at 3:21 comment added Aleksandr Blekh Re: your last question. Definition from corresponding Wikipedia article: "If $\mu = 0$ and $\sigma = 1$, the distribution is called the standard normal distribution or the unit normal distribution denoted by $N(0,1)$" (emphasis mine; the standard normal distribution is the one that peaks at ~0.4).
Mar 27, 2015 at 3:19 comment added rnso I was thinking of all tests of comparing means, as is generally done. Thanks for your explanations.
Mar 27, 2015 at 3:16 comment added Glen_b Your claim "all tests would show no significant difference between them" is false. At reasonable sample sizes, an F test for variance (testing if the ratio of variances differs from 1) would find the difference easily, as would a simple Kolmogorov Smirnov test.
Mar 27, 2015 at 3:09 vote accept rnso
Mar 27, 2015 at 3:08 history edited rnso CC BY-SA 3.0
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Mar 27, 2015 at 2:54 history edited rnso CC BY-SA 3.0
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Mar 27, 2015 at 2:31 comment added rnso I meant height of the density curve of normally distributed data.
Mar 27, 2015 at 2:22 comment added Glen_b It's not clear what function "bell shaped" serves in your question. A normal density has a bell shape (but one can have a distinctly-bell shaped density that's non normal). If you removed it, so the question just said "normal distribution", would that change the intent of the question?
Mar 27, 2015 at 2:19 answer added Glen_b timeline score: 25
Mar 27, 2015 at 2:02 history asked rnso CC BY-SA 3.0