% <html><head><title>Multiple Comparisons for Kruskal-Wallis</title>

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  {\small\textbf{Critical Values $d_{\alpha}$ for Multiple}}
  {\small\textbf{Comparisons based on the Kruskal-Wallis Test}}
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\begin{align*} 
  k &= \text{the number of groups (treatments)} \\
  n &= \text{the common sample size of each group}
\end{align*}

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\begin{tabular}{|c|c|c|c|c|c|} \hline
& & \multicolumn{4}{c|}{Nominal Family Type I Error Rate $\alpha$} \\
& & \multicolumn{4}{c|}{(more accurate significance levels are in brackets)} \\
\hline
$k$&$b$&  0.10     & 0.05      & 0.03      & 0.01      \\ \hline
 3 & 2 & - -       &  8 (.067) &  8 (.067) &  8 (.067) \\
 3 & 3 & 14 (.111) & 15 (.064) & 16 (.029) & 17 (.011) \\
 3 & 4 & 21 (.106) & 24 (.045) & 25 (.031) & 27 (.011) \\
 3 & 5 & 29 (.106) & 33 (.048) & 35 (.031) & 39 (.009) \\
 3 & 6 & 38 (.103) & 43 (.049) & 46 (.030) & 51 (.011) \\
 4 & 2 & 11 (.086) & 12 (.029) & 12 (.029) & 12 (.029) \\
 4 & 3 & 20 (.108) & 22 (.043) & 23 (.023) & 24 (.012) \\
 4 & 4 & 31 (.097) & 34 (.049) & 36 (.026) & 38 (.012) \\
 5 & 2 & 14 (.121) & 15 (.048) & 16 (.016) & 16 (.016) \\
 5 & 3 & 27 (.084) & 28 (.060) & 30 (.023) & 32 (.007) \\
 5 & 4 & - -       & 44 (.056) & 46 (.033) & 50 (.010) \\
 6 & 2 & - -       & 19 (.030) & 19 (.030) & 20 (.010) \\
 6 & 3 & - -       & 35 (.055) & 37 (.024) & 39 (.009) \\
 7 & 2 & - -       & 22 (.056) & 23 (.021) & 24 (.007) \\
 7 & 3 & - -       & 42 (.054) & 44 (.026) & 46 (.012) \\
 8 & 2 & - -       & 26 (.041) & 26 (.041) & 28 (.005) \\
 8 & 3 & - -       & 49 (.055) & 51 (.029) & 54 (.010) \\
 9 & 2 & - -       & 29 (.063) & 30 (.031) & 31 (.012) \\
10 & 2 & - -       & 33 (.050) & 34 (.025) & 35 (.009) \\
11 & 2 & - -       & 37 (.040) & 38 (.020) & 39 (.008) \\
12 & 2 & - -       & 40 (.062) & 41 (.033) & 43 (.006) \\
13 & 2 & - -       & 44 (.052) & 45 (.028) & 46 (.014) \\
14 & 2 & - -       & 48 (.044) & 49 (.024) & 50 (.012) \\
15 & 2 & - -       & 52 (.038) & 52 (.038) & 54 (.010) \\ \hline
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