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kscrit =
0.1756
Since the critical kscrit value of 0.1756 is well above the measured kscalc
value of 0.0757, we cannot reject the null hypothesis without another cause.
We can therefore conclude that our data follow a Gaussian distribution.
Alternatively, we can apply the function kstest to the sample. Typing
Table 3.1 Critical values of KS for the Kolmogorov-Smirnov test (O'Connor and Kleyner
2012).
Level of Signii cance, ʱ
N
0.10
0.05
0.02
0.01
1 0.95000 0.97500 0.99000 0.99500
2 0.77639 0.84189 0.90000 0.92929
3 0.63604 0.70760 0.78456 0.82900
4 0.56522 0.62394 0.68887 0.73424
5 0.50945 0.56328 0.62718 0.66853
6 0.46799 0.51926 0.57741 0.61661
7 0.43607 0.48342 0.53844 0.57581
8 0.40962 0.45427 0.50654 0.54179
9 0.38746 0.43001 0.47960 0.51332
10 0.36866 0.40925 0.45662 0.48893
11 0.35242 0.39122 0.43670 0.46770
12 0.33815 0.37543 0.41918 0.44905
13 0.32549 0.36143 0.40362 0.43247
14 0.31417 0.34890 0.38970 0.41762
15 0.30397 0.33760 0.37713 0.40420
16 0.29472 0.32733 0.36571 0.39201
17 0.28627 0.31796 0.35528 0.38086
18 0.27851 0.30936 0.34569 0.37062
19 0.27136 0.30143 0.33685 0.36117
20 0.26473 0.29408 0.32866 0.35241
21 0.25858 0.28724 0.32104 0.34427
22 0.25283 0.28087 0.31394 0.33666
23 0.24746 0.27490 0.30728 0.32954
24 0.24242 0.26931 0.30104 0.32286
25 0.23768 0.26404 0.29516 0.31657
26 0.23320 0.25907 0.28962 0.31064
27 0.22898 0.25438 0.28438 0.30502
28 0.22497 0.24993 0.27942 0.29971
29 0.22117 0.24571 0.27471 0.29466
30 0.21756 0.24170 0.27023 0.28987
31 0.21412 0.23788 0.26596 0.28530
32 0.21085 0.23424 0.26189 0.28094
33 0.20771 0.23076 0.25801 0.27677
34 0.20472 0.22743 0.25429 0.27279
35 0.20185 0.22425 0.26073 0.26897
36 0.19910 0.22119 0.24732 0.26532
37 0.19646 0.21826 0.24404 0.26180
38 0.19392 0.21544 0.24089 0.25843
39 0.19148 0.21273 0.23786 0.25518
40 0.18913 0.21012 0.23494 0.25205
>40 1.22/N 0.5 1.36/N 0.5 1.51/N 0.5 1.63/N 0.5
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