<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 comps for Friedman Test&lt;/title&gt;

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  {\Large\textbf{Critical Values $e_{\alpha}$ for Multiple}}
  {\Large\textbf{Comparisons based on the Friedman Test}}
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\[ k = \text{the number of treatments},\quad b = \text{the number of blocks} \]

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\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;  3 &amp;  6 (.028) &amp;  6 (.028) &amp;  6 (.028) &amp;  6 (.028) \\
  &amp;  4 &amp;  6 (.125) &amp;  7 (.042) &amp;  7 (.042) &amp;  8 (.005) \\
  &amp;  5 &amp;  7 (.093) &amp;  8 (.039) &amp;  8 (.039) &amp;  9 (.008) \\
  &amp;  6 &amp;  8 (.072) &amp;  9 (.029) &amp;  9 (.029) &amp; 10 (.009) \\
  &amp;  7 &amp;  8 (.112) &amp;  9 (.051) &amp; 10 (.023) &amp; 11 (.008) \\
  &amp;  8 &amp;  9 (.079) &amp; 10 (.039) &amp; 11 (.018) &amp; 12 (.007) \\
  &amp;  9 &amp; - -       &amp; 10 (.048) &amp; 11 (.026) &amp; 12 (.013) \\
  &amp; 10 &amp; - -       &amp; 11 (.037) &amp; 12 (.019) &amp; 13 (.010) \\
  &amp; 11 &amp; - -       &amp; 11 (.049) &amp; 12 (.028) &amp; 14 (.008) \\
  &amp; 12 &amp; - -       &amp; 12 (.038) &amp; 13 (.022) &amp; 14 (.012) \\
  &amp; 13 &amp; - -       &amp; 12 (.049) &amp; 13 (.030) &amp; 15 (.009) \\
  &amp; 14 &amp; - -       &amp; 13 (.038) &amp; 14 (.023) &amp; 16 (.007) \\
  &amp; 15 &amp; - -       &amp; 13 (.047) &amp; 14 (.028) &amp; 16 (.010) \\
4 &amp;  2 &amp;  6 (.083) &amp;  6 (.083) &amp;  6 (.083) &amp;  6 (.083) \\
  &amp;  3 &amp;  8 (.049) &amp;  8 (.049) &amp;  8 (.049) &amp;  9 (.007) \\
  &amp;  4 &amp;  9 (.078) &amp; 10 (.026) &amp; 10 (.026) &amp; 11 (.005) \\
  &amp;  5 &amp; 10 (.082) &amp; 11 (.037) &amp; 11 (.037) &amp; 12 (.013) \\
  &amp;  6 &amp; 11 (.078) &amp; 12 (.037) &amp; 13 (.018) &amp; 14 (.006) \\
  &amp;  7 &amp; 11 (.126) &amp; 13 (.037) &amp; 14 (.020) &amp; 15 (.008) \\
  &amp;  8 &amp; 12 (.111) &amp; 14 (.034) &amp; 15 (.019) &amp; 16 (.009) \\
  &amp;  9 &amp; - -       &amp; 15 (.032) &amp; 15 (.032) &amp; 17 (.010) \\
  &amp; 10 &amp; - -       &amp; 15 (.046) &amp; 16 (.029) &amp; 18 (.010) \\
  &amp; 11 &amp; - -       &amp; 16 (.041) &amp; 17 (.026) &amp; 19 (.009) \\
  &amp; 12 &amp; - -       &amp; 17 (.038) &amp; 18 (.023) &amp; 20 (.008) \\
  &amp; 13 &amp; - -       &amp; 18 (.032) &amp; 19 (.021) &amp; 21 (.008) \\
  &amp; 14 &amp; - -       &amp; 18 (.042) &amp; 19 (.028) &amp; 21 (.011) \\
  &amp; 15 &amp; - -       &amp; 19 (.037) &amp; 20 (.024) &amp; 22 (.010) \\ \hline
\end{tabular}
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\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
5 &amp;  2 &amp;  8 (.050) &amp;  8 (.050) &amp;  8 (.050) &amp;  8 (.050) \\
  &amp;  3 &amp; 10 (.067) &amp; 10 (.067) &amp; 11 (.018) &amp; 12 (.002) \\
  &amp;  4 &amp; 11 (.116) &amp; 12 (.054) &amp; 13 (.020) &amp; 14 (.006) \\
  &amp;  5 &amp; 13 (.076) &amp; 14 (.040) &amp; 14 (.040) &amp; 16 (.006) \\
  &amp;  6 &amp; 14 (.088) &amp; 15 (.049) &amp; 16 (.028) &amp; 17 (.013) \\
  &amp;  7 &amp; 15 (.093) &amp; 16 (.052) &amp; 17 (.033) &amp; 19 (.009) \\
  &amp;  8 &amp; 16 (.094) &amp; 18 (.036) &amp; 19 (.022) &amp; 20 (.012) \\
  &amp;  9 &amp; - -       &amp; 19 (.037) &amp; 20 (.024) &amp; 22 (.008) \\
  &amp; 10 &amp; - -       &amp; 20 (.038) &amp; 21 (.025) &amp; 23 (.009) \\
  &amp; 11 &amp; - -       &amp; 21 (.038) &amp; 22 (.025) &amp; 24 (.010) \\
  &amp; 12 &amp; - -       &amp; 22 (.038) &amp; 23 (.025) &amp; 25 (.011) \\
  &amp; 13 &amp; - -       &amp; 23 (.035) &amp; 24 (.024) &amp; 26 (.011) \\
  &amp; 14 &amp; - -       &amp; 24 (.034) &amp; 25 (.024) &amp; 27 (.011) \\
  &amp; 15 &amp; - -       &amp; 24 (.045) &amp; 26 (.022) &amp; 28 (.010) \\
6 &amp;  2 &amp;  9 (.150) &amp; 10 (.033) &amp; 10 (.033) &amp; 10 (.033) \\
  &amp;  3 &amp; 12 (.084) &amp; 13 (.030) &amp; 13 (.030) &amp; 14 (.008) \\
  &amp;  4 &amp; 14 (.088) &amp; 15 (.047) &amp; 16 (.018) &amp; 17 (.006) \\
  &amp;  5 &amp; 16 (.075) &amp; 17 (.047) &amp; 18 (.022) &amp; 19 (.010) \\
  &amp;  6 &amp;  7 (.098) &amp; 19 (.040) &amp; 20 (.021) &amp; 21 (.010) \\
  &amp;  7 &amp; - -       &amp; 20 (.049) &amp; 21 (.032) &amp; 23 (.010) \\
  &amp;  8 &amp; - -       &amp; 22 (.039) &amp; 23 (.026) &amp; 25 (.008) \\
  &amp;  9 &amp; - -       &amp; 23 (.043) &amp; 24 (.030) &amp; 26 (.012) \\
  &amp; 10 &amp; - -       &amp; 24 (.047) &amp; 26 (.023) &amp; 28 (.009) \\
  &amp; 11 &amp; - -       &amp; 26 (.036) &amp; 27 (.026) &amp; 29 (.012) \\
  &amp; 12 &amp; - -       &amp; 27 (.039) &amp; 28 (.028) &amp; 31 (.009) \\
  &amp; 13 &amp; - -       &amp; 28 (.039) &amp; 29 (.028) &amp; 32 (.010) \\
  &amp; 14 &amp; - -       &amp; 29 (.040) &amp; 30 (.030) &amp; 33 (.011) \\
  &amp; 15 &amp; - -       &amp; 30 (.040) &amp; 32 (.023) &amp; 34 (.012) \\ \hline
\end{tabular}
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