# Normal distribution (Lillie.test())

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## Normal distribution (Lillie.test())

 Hi all, I have a dataset of 2000 numbers ( it's noise measured with a scoop ) Now i want to know of my data is normal distributed (Gaussian distribution). I did already: - 68-95-99.7 test - Q-Q-plot and now i used "nortest library" and the Lilli.test() However i don't understad the output? lillie.test(z)         Lilliefors (Kolmogorov-Smirnov) normality test data:  z D = 0.0218, p-value = 0.0278I read wiki, but still can understand it.. Can anyone, give an explanation of my output D and p-value? Thanks in advance Gr. Bosken
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## Re: Normal distribution (Lillie.test())

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## Re: Normal distribution (Lillie.test())

 Hi, Thanks for your reaction; How do you come to the decision that my data not is normal distributed? With the 69-95-99.7 test and Q-Q plot seems it ok! But these test are not exact, they only give you an image.   Gr. Bosken
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## Re: Normal distribution (Lillie.test())

 You should probably read fortune(117) and fortune(234) (and possibly some of the original discussions that lead to the fortunes).  Reading the help page for the SnowsPenultimateNormalityTest function (TeachingDemos package) may also help.  If you are happy with the plots, but still feel the need for a "test" of some sort, then you should investigate using the vis.test function in the TeachingDemos package. Hope this helps, -- Gregory (Greg) L. Snow Ph.D. Statistical Data Center Intermountain Healthcare [hidden email] 801.408.8111 > -----Original Message----- > From: [hidden email] [mailto:r-help-bounces@r- > project.org] On Behalf Of Bosken > Sent: Tuesday, February 23, 2010 4:13 AM > To: [hidden email] > Subject: Re: [R] Normal distribution (Lillie.test()) > > > Hi, > > Thanks for your reaction; > > How do you come to the decision that my data not is normal distributed? > > With the 69-95-99.7 test and Q-Q plot seems it ok! But these test are > not > exact, they only give you an image. > > Gr. Bosken > -- > View this message in context: http://n4.nabble.com/Normal-distribution-> Lillie-test-tp1565083p1565762.html > Sent from the R help mailing list archive at Nabble.com. > > ______________________________________________ > [hidden email] mailing list > https://stat.ethz.ch/mailman/listinfo/r-help> PLEASE do read the posting guide http://www.R-project.org/posting-> guide.html > and provide commented, minimal, self-contained, reproducible code. ______________________________________________ [hidden email] mailing list https://stat.ethz.ch/mailman/listinfo/r-helpPLEASE do read the posting guide http://www.R-project.org/posting-guide.htmland provide commented, minimal, self-contained, reproducible code.
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## Re: Normal distribution (Lillie.test())

 Hi, Thanks for your reaction. The purpose of my test is to check if my NoiseGenerators really are Normal Distributed en witch circuit is the best! So I need some good test to do this. But what with: Fortune(117) and fortune(234), can't find anything about it.. Thanks for the help! Bosken
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## Re: Normal distribution (Lillie.test())

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## Re: Normal distribution (Lillie.test())

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## Re: Normal distribution (Lillie.test())

 In reply to this post by Bosken On Feb 25, 2010, at 12:20 PM, Bosken wrote: > > Hi, > > Thanks for your reaction. > > The purpose of my test is to check if my NoiseGenerators really are   > Normal > Distributed en witch circuit is the best! > > So I need some good test to do this. > > But what with: Fortune(), can't find anything about it.. # This might work, but if not, you should get the idea. install.packages(pkgs="fortunes") require(fortunes) fortune(117) fortune(234) > > Thanks for the help! > > Bosken > -- > View this message in context: http://n4.nabble.com/Normal-distribution-Lillie-test-tp1565083p1569361.html> Sent from the R help mailing list archive at Nabble.com. > > ______________________________________________ > [hidden email] mailing list > https://stat.ethz.ch/mailman/listinfo/r-help> PLEASE do read the posting guide http://www.R-project.org/posting-guide.html> and provide commented, minimal, self-contained, reproducible code. David Winsemius, MD Heritage Laboratories West Hartford, CT ______________________________________________ [hidden email] mailing list https://stat.ethz.ch/mailman/listinfo/r-helpPLEASE do read the posting guide http://www.R-project.org/posting-guide.htmland provide commented, minimal, self-contained, reproducible code.
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## Re: Normal distribution (Lillie.test())

 In reply to this post by Bosken Install and load the fortunes package first, then run fortune(117), etc.  Then run fortune() quite a few times for possible enlightenment (or at least mild entertainment). Do your NoiseGenerotors need to generate exactly normal data (they don't, see SnowsPenultimateNormalityTest), or is there a level of close enough?  If I remember correctly, you were testing 2000 values, with that sample size most normality tests will find very small differences to be significantly different, even if those small differences are practically meaningless. -- Gregory (Greg) L. Snow Ph.D. Statistical Data Center Intermountain Healthcare [hidden email] 801.408.8111 > -----Original Message----- > From: [hidden email] [mailto:r-help-bounces@r- > project.org] On Behalf Of Bosken > Sent: Thursday, February 25, 2010 10:21 AM > To: [hidden email] > Subject: Re: [R] Normal distribution (Lillie.test()) > > > Hi, > > Thanks for your reaction. > > The purpose of my test is to check if my NoiseGenerators really are > Normal > Distributed en witch circuit is the best! > > So I need some good test to do this. > > But what with: Fortune(117) and fortune(234), can't find anything about > it.. > > Thanks for the help! > > Bosken > -- > View this message in context: http://n4.nabble.com/Normal-distribution-> Lillie-test-tp1565083p1569361.html > Sent from the R help mailing list archive at Nabble.com. > > ______________________________________________ > [hidden email] mailing list > https://stat.ethz.ch/mailman/listinfo/r-help> PLEASE do read the posting guide http://www.R-project.org/posting-> guide.html > and provide commented, minimal, self-contained, reproducible code. ______________________________________________ [hidden email] mailing list https://stat.ethz.ch/mailman/listinfo/r-helpPLEASE do read the posting guide http://www.R-project.org/posting-guide.htmland provide commented, minimal, self-contained, reproducible code.
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