Hi all!
I tried to perform Shapiro-Wilk test for my sample of 243 values.
> Us
[1] -10.4 -13.1 -12.2 38.1 -18.8 -13.3 -11.7 29.3 49.7 6.8 12.7 16.3
[13] 5.8 -0.7 -29.4 4.1 38.8 -1.4 8.8 15.6 32.9 -5.3 19.1 35.8
[25] 4.0 -1.5 0.6 -4.2 -10.0 -4.0 1.1 48.9 -21.0 -5.3 5.8 -10.8
[37] 21.9 8.2 -3.2 -3.9 -2.3 12.6 -4.7 -8.0 11.8 27.4 -9.5 -20.8
[49] -8.1 -5.4 0.7 -13.2 -6.1 -5.7 -9.6 0.3 -2.1 -15.2 1.7 -15.2
[61] 7.4 -16.0 13.1 8.7 -8.9 -21.2 29.8 -22.6 10.5 7.5 9.9 -13.0
[73] -8.3 -22.9 -9.7 -3.7 8.2 -9.0 -21.8 28.5 -10.2 8.8 -10.1 15.3
[85] 5.5 -35.0 -14.5 -61.2 -8.3 -17.5 -16.3 -8.5 2.0 -17.5 -12.2 -10.8
[97] -16.7 6.8 -12.4 -1.9 -13.3 -8.2 -22.6 20.7 -12.5 -21.9 -6.0 9.2
[109] -1.1 -17.5 -13.5 6.1 -18.5 18.1 6.3 -13.1 -16.2 -30.5 -23.4 4.3
[121] -11.2 -18.5 -17.7 26.7 2.2 -9.4 1.8 -7.7 -5.1 6.3 7.1 7.4
[133] -9.2 24.8 53.5 23.9 0.0 -25.7 -33.3 6.9 -9.7 -22.6 -1.5 18.0
[145] -20.5 -12.9 -14.3 3.9 5.5 -6.3 2.1 -11.2 -4.9 6.1 3.3 7.0
[157] 4.1 0.3 -0.7 -6.4 -5.1 -17.6 -3.3 6.7 1.5 -8.8 31.2 -30.5
[169] -16.3 -23.4 -30.7 -3.2 8.3 18.1 -17.0 12.1 0.6 -1.6 -1.4 6.3
[181] 3.6 5.3 1.6 1.8 23.7 -14.1 1.1 12.4 18.9 -11.5 -1.8 -21.1
[193] 2.4 23.4 -11.4 -5.9 -5.2 16.9 -19.8 19.5 -4.4 0.5 -1.4 -8.1
[205] 5.4 -2.7 -2.3 -2.9 4.4 8.0 -7.8 32.0 5.4 2.7 3.6 14.9
[217] -7.0 3.6 -12.1 3.8 47.8 -5.8 3.0 12.6 -1.1 2.0 1.5 -0.1
[229] 11.2 -1.4 -3.1 22.0 -14.4 -10.5 -4.1 -37.5 -17.6 -3.3 3.0 -0.6
[241] 33.8 1.6 -3.9
Output is:
> shapiro.test(Us)
Shapiro-Wilk normality test
data: Us
W = 0.9686, p-value = 3.417e-05
So, if I understand correctly, output inform me that H0 hypotesis of normality
of my sample shoud be rejected because p-value << 0.05 (at 5% level). Is'n
it? But actually my data distributed very close to the normal distribution.
Thanks in advance.
Eugene
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