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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