Hello,

My main question is wheter my data is distributed normally. As the
shapiro.test doesnt work for large
data sets I prefer the ks.test.
But I have some problems to understand the completely different p-values:

 > ks.test (test, pnorm, mean (test), sd (test))

    One-sample Kolmogorov-Smirnov test

data:  test
D = 0.0434, p-value = 0.1683
alternative hypothesis: two-sided

Warnmeldung:
In ks.test(test, pnorm, mean(test), sd(test)) :
  für den Komogorov-Smirnov-Test sollten keine Bindungen vorhanden sein
> shapiro.test (test)

    Shapiro-Wilk normality test

data:  test
W = 0.9694, p-value = 1.778e-10


Generating some random data the difference is acceptable:

> nt <- rnorm (200, mean=5, sd=1)
> ks.test (nt, pnorm, mean=5, sd=1)

    One-sample Kolmogorov-Smirnov test

data:  nt
D = 0.0641, p-value = 0.3841
alternative hypothesis: two-sided

> shapiro.test (nt)

    Shapiro-Wilk normality test

data:  nt
W = 0.9933, p-value = 0.5045


Thanks
hermann

> dput (test)
c(249, 62, 165, 333, 261, 184, 208, 76, 124, 177, 113, 224, 171,
193, 105, 309, 182, 291, 154, 148, 94, 51, 277, 204, 171, 129,
303, 112, 185, 140, 60, 228, 330, 226, 281, 191, 164, 223, 139,
103, 209, 99, 83, 167, 273, 101, 96, 142, 90, 107, 122, 135,
106, 72, 139, 77, 113, 86, 233, 318.5, 190, 202, 214, 282, 141,
225, 128, 206, 128, 125, 220, 187, 208, 169, 244, 167, 354, 257,
74, 386, 151, 189, 289, 109, 114, 244, 326, 171, 179, 179, 229,
107, 279, 94, 259, 188, 105, 149, 246, 103, 282, 292, 112, 207,
93, 94, 291, 213, 200, 221, 190, 245, 190, 230, 260, 182, 125,
61, 188.4, 131, 227, 227, 223, 147, 179, 146, 162, 198, 266,
156, 157, 146, 121, 207, 191, 138.8, 119, 252.5, 224, 145, 190,
94, 172, 122, 167, 202, 157, 223, 263, 191, 86, 142, 271, 246,
182, 152, 261, 168, 172, 274, 159, 121, 206, 241, 226, 312, 107,
167, 215, 203, 207, 158, 241, 114, 264, 48, 174, 219, 263, 224,
120, 173.2, 101.2, 217, 217.1, 174, 233.5, 160, 255, 205, 190,
124, 168.8, 159.2, 317.6, 174, 97.34, 102.4, 200.6, 149.1, 235.1,
143.6, 156.9, 94.4, 216.8, 406.2, 300, 195, 196.1, 163.4, 233.7,
133, 197.5, 162.1, 390.6, 224.4, 84.17, 246.5, 258.5, 147, 96.94,
163.2, 173.9, 170.1, 134.5, 208.6, 91.19, 219.6, 128.3, 579.2,
226.8, 184.8, 61.77, 139.6, 198.7, 158.9, 169.7, 195.6, 181.7,
254.5, 130, 194.3, 280.4, 260, 192.5, 174.1, 263, 173.5, 324.6,
227.7, 267.8, 215.1, 219.5, 295.8, 92.37, 157.5, 69.94, 198.3,
148.5, 243.6, 160.4, 121.5, 101.2, 197.3, 207.9, 256.9, 222,
121, 204.9, 132, 260.6, 199.8, 79.49, 417.6, 234.3, 222.9, 178.5,
237, 132.9, 173.5, 215.9, 113.2, 123.2, 159.2, 154.2, 249.5,
299.3, 243.5, 144.7, 169.1, 184.9, 237.1, 143.8, 228, 177.5,
201.6, 299.1, 211.3, 157.5, 241.3, 150, 206.8, 190.3, 198.1,
197, 113.9, 190.3, 241.1, 107.5, 166.1, 232.2, 319.3, 170.8,
180.1, 257.9, 98.1, 254, 269.2, 127.9, 191.1, 110.3, 161.7, 108.7,
160.8, 187, 168.3, 208.9, 181.6, 183.2, 152.5, 115.4, 189.4,
199.9, 154.6, 116, 158, 144.4, 206.8, 231.2, 132.9, 131.9, 84.66,
214.9, 67.51, 205.2, 171, 91.57, 194.1, 334.3, 147.1, 202.8,
166, 297, 195.4, 117.9, 126.9, 245.4, 243.1, 249.3, 236, 216.5,
201, 103.5, 122.1, 195, 227.9, 174.4, 274, 167.1, 137, 198.8,
140.6, 161.8, 231.3, 184.3, 169.9, 220.5, 409.3, 321.5, 225.7,
225.2, 207, 155.6, 239.8, 136.4, 181.2, 169.1, 179.4, 118, 104.4,
303.1, 243.4, 194.4, 170.4, 113.4, 256.1, 145.4, 456.9, 233.9,
249.3, 150.7, 227.9, 220.2, 222.1, 209.4, 218.6, 191.7, 139.9,
131.8, 160.7, 143.1, 240, 70.22, 189.3, 332.3, 257.8, 185.5,
96.4, 187.1, 273.7, 213.3, 314.9, 110.4, 191.1, 243.4, 178.3,
209.7, 120.5, 269.6, 169.9, 292, 283.6, 302.2, 273, 229.6, 191.8,
153.2, 113.8, 159.5, 137.4, 261.4, 93.84, 244.9, 101.6, 153.8,
266.3, 170.3, 322.5, 190.8, 258.3, 222.5, 107.5, 315.8, 248.4,
161.4, 250.5, 302.2, 333.5, 161, 107.4, 104.2, 175.3, 98.96,
100.5, 247.7, 196.7, 306.4, 229.6, 92.97, 287.2, 320.2, 236.1,
296.9, 206.4, 282, 233.6, 217.9, 220.9, 177, 128.8, 257.7, 236.1,
209.5, 235, 387.1, 244.7, 249.2, 181.4, 179, 236.8, 160, 204.3,
108.1, 484.9, 227.9, 197.9, 292.2, 274, 200.8, 197.2, 246.2,
163.9, 173.7, 128, 98.27, 59.31, 432.5, 184.7, 217.6, 193.8,
379.1, 177.6, 304.4, 173.4, 227.4, 204.9, 173.6, 163.4, 189.2,
146.8, 165.5, 235.3, 99.92, 317.6, 198, 187.1, 93.61, 199.5,
264.3, 156.3, 287.4, 237.8, 183.6, 239.5, 169.5, 101.8, 176.7,
208.1, 223.3, 324, 205.3, 183.3, 275.8, 118.7, 202.6, 350.2,
255.8, 171.4, 275.6, 293.7, 173, 130.5, 319.7, 221.4, 107.6,
190.7, 422.6, 85.19, 244.8, 155.9, 184.7, 175.1, 229.4, 128.5,
105.7, 191.7, 322.9, 253.5, 195.1, 96.9, 189, 302.9, 297.8, 191.5,
284.6, 244.3, 100.4, 151.3, 196.9, 283, 170.7, 216, 108, 159,
167.4, 175.3, 192.1, 184.3, 244.4, 201.9, 146.1, 270.4, 386.7,
214.3, 240, 139, 393, 68.64, 283.4, 300.2, 228.8, 213.4, 215.1,
164.3, 214.1, 164.9, 233.1, 173.2, 182.5, 105.7, 333.7, 152.2,
143, 258.7, 213, 267.5, 149.4, 132.3, 153.4, 190.1, 167, 52.83,
179.9, 302.3, 251, 165.4, 176.6, 201.5, 93.25, 182.3, 230, 301.2,
159.2, 166.4, 189.2, 139.3, 221.8, 243.8, 129.7, 228.6, 287.8,
210.7, 233.4, 154.8, 34.94, 171.8, 197.9, 217.5, 176.3, 64.26,
140.3, 140.4, 213.1, 121.5, 142.8, 190, 252.1)
>

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