Saturday 21 September 2013

Critical value of W statistic for Shapiro-Wilk test

One of the tests in SciStatCalc is the Shapiro-Wilk test for Gaussianity/Normality. Below is a table of the number of samples against the critical value of the statistic $W$ for this test, derived from Table 10-3 in Appendix D, from the document that is accessible at the following website

The alpha level is 5%, for a two-tailed test. The $W$ statistic needs to be greater than the critical value for the null hypothesis that the samples are drawn from a Gaussian distribution not to be rejected. Sample values up to 50 are shown. 

Number or Samples W(critical)
3 0.767
4 0.748
5 0.762
6 0.788
7 0.803
8 0.818
9 0.829
10 0.842
11 0.850
12 0.859
13 0.866
14 0.874
15 0.881
16 0.887
17 0.892
18 0.897
19 0.901
20 0.905
21 0.908
22 0.911
23 0.914
24 0.916
25 0.918
26 0.920
27 0.923
28 0.924
29 0.926
30 0.927
31 0.929
32 0.930
33 0.931
34 0.933
35 0.934
36 0.935
37 0.936
38 0.938
39 0.939
40 0.940
41 0.941
42 0.942
43 0.943
44 0.944
45 0.945
46 0.945
47 0.946
48 0.947
49 0.947
50 0.947


  1. All thanks to Dr Raymond for helping me to get my penis longer and bigger with his cream in just two week his cream is very active and also it work fast for everyone who have used it, the best thing about his herbal cream is that it does not have side effects and the results is permanent. Note he can also cure the below sicknesses and disease PREMATURE EJACULATIONLOW SPERM COUNTERECTILE DYSFUNCTIONHIV/AIDS CUREHERPES CUREINFECTION CUREPILESTROKEHEART FAILUREYou can email him if you need his help via: or WhatsApp him via: +2348116744524


  2. A fantabulous post this has been. Never seen this kind of useful post.
    I am grateful to you and expect more number of posts like these. Thank you very much

    Also visit my site : 대구오피


  3. I'm 40 years old female I tested genital herpes (HSV1-2) positive in 2016. I was having bad outbreaks. EXTREMELY PAINFUL. I have try different kinds of drugs and treatment by the medical doctors all to know was avail. Six months ago I was desperately online searching for a helpful remedies for genital herpes (HSV1-2) cure, which I come across some helpful remedies on how Dr OYAGU have help so many people in curing genital herpes (HSV1-2) with the help of herbal treatment because I too believe there is someone somewhere in the world who can cure herpes completely. At of the past 2 months, however, I've been following his herpes protocol Via or +2348101755322 and it stopped all outbreaks completely! To my greatest surprise I was cured completely by following the protocol of his herbal medicine . Don't be discouraged by the medical doctors. There is a cure for HSV with the help of herbs and roots by a herbalist Dr call Dr OYAGU he is so kind and truthful with his herbal treatment, kindly contact him for more information Via or WhatsApp DR on +2348101755322 or visit his website you will be lucky as I am today

  4. Words will not be enough for me to appreciate Doctor Abolo of who lives in Africa, for the successful spells he has been casting for me, I have never trusted any anybody, the way I trust him. This great dr was the one that saved my marriage. If you use him, I promise, you will trust him too. Any spell he cast for me is 100%. I see results the very same day. He also cured me from a deadly virus (HSV), a virus I have known as a medical, it doesn’t have a cure, he cured a patient I introduced to him to get pregnant after 15 years of marriage. He has active herbal remedies for diseases, infections and viruses. you can get him via; Email: or you may decide to send him a msg on whatsapp here +27743411428. thanks doctor you are the best.

  5. I got diagnose of herpes virus last year, and i was taking some drugs prescribed for me by my family doc the drugs could not work and the herpes in my system was very terrifying that i was so depressed the good news is that i never gave up in searching for natural cure for herpes virus ,cause i believe so much in herbal medication.. One faithful morning i read a comment from a lady called Destiny Hudson on how she was cured with natural herbs made by DR.OYAGU from somewhere is West Africa, i immediately copied out his contact email via and explain all my herpes problem to him via his email. the big truth is that it took just two week for his herbal medication to cure me completely without side affect. Till date am herpes virus free and all thanks to Dr OYAGU for his good deeds for me, Once again am very happy to share this great testimony of DR OYAGU cure hurry up now and contact him via his email address ( Call & WhatsApp him on (+2348101755322 ) and see what he can do