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
http://www.epa.gov/osw/hazard/correctiveaction/resources/guidance/sitechar/gwstats/unified-guid-app.pdf
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 |
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