Dear Pujan,

I believe this is not really the most appropriate list to send your question to, as it has little to do with spatial data.

Briefly, with samples the size you have, the smallest deviation from _exact_ normality will show up as significant. The real question is what that means. Is it a problem that your data come from a distribution that is _almost_ normal?
--
Edzer

PUJAN RAJ REGMI wrote:
Dear list,
I am trying to perform normality test for my data set. my data set is quite large N>13000 with 4 
valriables under study , so When I tried to do normality test for each variable using lillie.test of 
nortest package the p values is almost zero "2.16e-16". So for all variable the test reject 
the null hypothesis (p-value the same("2.16e-16").i.e. it doesn't comes from normal 
distribution which I believe is not true and even this can be seen in histogram plot that fwe 
variable's plot shows normal distribution. Now I doubted that my approach to test for normality might 
not be correct becasue I am dealing with large number of samples. So I request you to provide me 
insight on the other efficient ways in R.
Thanking you
Sincerely,
Pujan

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