Builds a table with quantiles of the sample relative range distribution.
table.qtukey(alpha, n)
| alpha | The probability of type-I error of false alarm , that is equal to 1 minus the confidence level. |
|---|---|
| n | The maximum sample size. |
It is used the fact that the sample relative range distribution is the same as the sample studentized range distribution (tukey distribution) with infinity d.f. in the denominator . It is considered 4 quantiles: alpha/2 , alpha , 1-alpha and 1-alpha/2, for different sample size values .
table.const,alpha.risk,qtukey
table.qtukey(0.0027, 15)#> alpha/2 alpha 1-alpha 1-alpha/2 #> 2 0.002392814 0.004785635 4.242608 4.532743 #> 3 0.070003631 0.099034660 4.678703 4.950175 #> 4 0.220551642 0.278377858 4.938456 5.199657 #> 5 0.396528087 0.473383768 5.123140 5.377402 #> 6 0.568995827 0.657506350 5.265970 5.515065 #> 7 0.728847025 0.824508326 5.382113 5.627133 #> 8 0.874395939 0.974498343 5.479780 5.721458 #> 9 1.006411220 1.109286010 5.563915 5.802775 #> 10 1.126343057 1.230931805 5.637724 5.874158 #> 11 1.235706831 1.341319304 5.703400 5.937711 #> 12 1.335882897 1.442058423 5.762513 5.994941 #> 13 1.428067918 1.534493165 5.816219 6.046960 #> 14 1.513279523 1.619738053 5.865398 6.094613 #> 15 1.592376820 1.698718124 5.910733 6.138556