<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">% &lt;html&gt;&lt;head&gt;&lt;title&gt;Multiple Comparisons for Kruskal-Wallis&lt;/title&gt;

\documentclass{article}

\usepackage{amsmath}

\begin{document}

\thispagestyle{empty}

\begin{center}
  {\small\textbf{Critical Values $d_{\alpha}$ for Multiple}}
  {\small\textbf{Comparisons based on the Kruskal-Wallis Test}}
\end{center}

\begin{align*} 
  k &amp;= \text{the number of groups (treatments)} \\
  n &amp;= \text{the common sample size of each group}
\end{align*}

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

\end{document}

% &lt;/pre&gt;&lt;/body&gt;&lt;/html&gt;

</pre></body></html>