<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;Upper Critical Values for Friedman Test&lt;/title&gt;

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  {\Large\textbf{Upper Critical Values for the Friedman Test}} \\
  \textbf{($k$ treatments and $b$ blocks)}
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  \begin{tabular}{rl}
    Notes 1. &amp; In the table below, the critical values give significance
               levels as close as \\
             &amp; possible to, but not exceeding the nominal $\alpha$. \\
   \ \\
          2. &amp; For values of $k$ and $b$ beyond the range of the table 
               below, various \\
             &amp; approximations are available.
  \end{tabular}
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\begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline
&amp; \multicolumn{2}{c|}{$k=3$} &amp; \multicolumn{2}{c|}{$k=4$}
&amp; \multicolumn{2}{c|}{$k=5$} &amp; \multicolumn{2}{c|}{$k=6$} \\ \hline 
$b$&amp;  0.05 &amp;  0.01 &amp;  0.05 &amp;  0.01 &amp;  0.05 &amp;  0.01 &amp;  0.05 &amp;  0.01 \\ \hline
 2 &amp;   -   &amp;   -   &amp; 6.000 &amp;   -   &amp; 7.600 &amp; 8.000 &amp; 9.143 &amp; 9.714 \\
 3 &amp; 6.000 &amp;   -   &amp; 7.400 &amp; 9.000 &amp; 8.533 &amp; 10.13 &amp; 9.857 &amp; 11.76 \\
 4 &amp; 6.500 &amp; 8.000 &amp; 7.800 &amp; 9.600 &amp; 8.800 &amp; 11.20 &amp; 10.29 &amp; 12.71 \\
 5 &amp; 6.400 &amp; 8.400 &amp; 7.800 &amp; 9.960 &amp; 8.960 &amp; 11.68 &amp; 10.49 &amp; 13.23 \\
 6 &amp; 7.000 &amp; 9.000 &amp; 7.600 &amp; 10.20 &amp; 9.067 &amp; 11.87 &amp; 10.57 &amp; 13.62 \\
 7 &amp; 7.143 &amp; 8.857 &amp; 7.800 &amp; 10.54 &amp; 9.143 &amp; 12.11 &amp;  &amp;  \\
 8 &amp; 6.250 &amp; 9.000 &amp; 7.650 &amp; 10.50 &amp; 9.200 &amp; 12.30 &amp;  &amp;  \\
 9 &amp; 6.222 &amp; 9.556 &amp; 7.667 &amp; 10.73 &amp; 9.244 &amp; 12.44 &amp;  &amp;  \\
10 &amp; 6.200 &amp; 9.600 &amp; 7.680 &amp; 10.68 &amp;  &amp;  &amp;  &amp;  \\
11 &amp; 6.545 &amp; 9.455 &amp; 7.691 &amp; 10.75 &amp;  &amp;  &amp;  &amp;  \\
12 &amp; 6.500 &amp; 9.500 &amp; 7.700 &amp; 10.80 &amp;  &amp;  &amp;  &amp;  \\
13 &amp; 6.615 &amp; 9.385 &amp; 7.800 &amp; 10.85 &amp;  &amp;  &amp;  &amp;  \\
14 &amp; 6.143 &amp; 9.143 &amp; 7.714 &amp; 10.89 &amp;  &amp;  &amp;  &amp;  \\
15 &amp; 6.400 &amp; 8.933 &amp; 7.720 &amp; 10.92 &amp;  &amp;  &amp;  &amp;  \\
16 &amp; 6.500 &amp; 9.375 &amp; 7.800 &amp; 10.95 &amp;  &amp;  &amp;  &amp;  \\
17 &amp; 6.118 &amp; 9.294 &amp; 7.800 &amp; 11.05 &amp;  &amp;  &amp;  &amp;  \\
18 &amp; 6.333 &amp; 9.000 &amp; 7.733 &amp; 10.93 &amp;  &amp;  &amp;  &amp;  \\
19 &amp; 6.421 &amp; 9.579 &amp; 7.863 &amp; 11.02 &amp;  &amp;  &amp;  &amp;  \\
20 &amp; 6.300 &amp; 9.300 &amp; 7.800 &amp; 11.10 &amp;  &amp;  &amp;  &amp;  \\
21 &amp; 6.095 &amp; 9.238 &amp; 7.800 &amp; 11.06 &amp;  &amp;  &amp;  &amp;  \\
22 &amp; 6.091 &amp; 9.091 &amp; 7.800 &amp; 11.07 &amp;  &amp;  &amp;  &amp;  \\
23 &amp; 6.348 &amp; 9.391 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
24 &amp; 6.250 &amp; 9.250 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\ \hline
\end{tabular}
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\begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline
&amp; \multicolumn{2}{c|}{$k=3$} &amp; \multicolumn{2}{c|}{$k=4$}
&amp; \multicolumn{2}{c|}{$k=5$} &amp; \multicolumn{2}{c|}{$k=6$} \\ \hline 
$b$&amp;  0.05 &amp;  0.01 &amp;  0.05 &amp;  0.01 &amp;  0.05 &amp;  0.01 &amp;  0.05 &amp;  0.01 \\ \hline
25 &amp; 6.080 &amp; 8.960 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
26 &amp; 6.077 &amp; 9.308 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
27 &amp; 6.000 &amp; 9.407 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
28 &amp; 6.500 &amp; 9.214 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
29 &amp; 6.276 &amp; 9.172 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
30 &amp; 6.200 &amp; 9.267 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
31 &amp; 6.000 &amp; 9.290 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
32 &amp; 6.063 &amp; 9.250 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
33 &amp; 6.061 &amp; 9.152 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
34 &amp; 6.059 &amp; 9.176 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
35 &amp; 6.171 &amp; 9.314 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
36 &amp; 6.167 &amp; 9.389 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
37 &amp; 6.054 &amp; 9.243 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
38 &amp; 6.158 &amp; 9.053 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
39 &amp; 6.000 &amp; 9.282 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
40 &amp; 6.050 &amp; 9.150 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
41 &amp; 6.195 &amp; 9.366 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
42 &amp; 6.143 &amp; 9.190 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
43 &amp; 6.186 &amp; 9.256 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
44 &amp; 6.318 &amp; 9.136 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
45 &amp; 6.178 &amp; 9.244 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
46 &amp; 6.043 &amp; 9.435 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
47 &amp; 6.128 &amp; 9.319 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
48 &amp; 6.167 &amp; 9.125 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
49 &amp; 6.041 &amp; 9.184 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\
50 &amp; 6.040 &amp; 9.160 &amp;  &amp;  &amp;  &amp;  &amp;  &amp;  \\ \hline
\end{tabular}
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