<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;Spearman Rank Correlation&lt;/title&gt;

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  {\small\textbf{Upper Critical Values of Spearman's}}
  {\small\textbf{Rank Correlation Coefficient $R_s$}}
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{\footnotesize
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  \begin{tabular}{ll}
    Note: &amp; In the table below, the critical values give significance 
            levels as \\ &amp; close as possible to but 
            not exceeding the nominal $\alpha$.
  \end{tabular}
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\begin{tabular}{|c|c|c|c|c|c|c|} \hline
   &amp; \multicolumn{6}{c|}{Nominal $\alpha$} \\ \hline
$n$&amp;  0.10 &amp;  0.05 &amp; 0.025 &amp;  0.01 &amp; 0.005 &amp; 0.001 \\ \hline
 4 &amp; 1.000 &amp; 1.000 &amp;   -   &amp;   -   &amp;   -   &amp;   -   \\
 5 &amp; 0.800 &amp; 0.900 &amp; 1.000 &amp; 1.000 &amp;   -   &amp;   -   \\
 6 &amp; 0.657 &amp; 0.829 &amp; 0.886 &amp; 0.943 &amp; 1.000 &amp;   -   \\
 7 &amp; 0.571 &amp; 0.714 &amp; 0.786 &amp; 0.893 &amp; 0.929 &amp; 1.000 \\
 8 &amp; 0.524 &amp; 0.643 &amp; 0.738 &amp; 0.833 &amp; 0.881 &amp; 0.952 \\
 9 &amp; 0.483 &amp; 0.600 &amp; 0.700 &amp; 0.783 &amp; 0.833 &amp; 0.917 \\
10 &amp; 0.455 &amp; 0.564 &amp; 0.648 &amp; 0.745 &amp; 0.794 &amp; 0.879 \\
11 &amp; 0.427 &amp; 0.536 &amp; 0.618 &amp; 0.709 &amp; 0.755 &amp; 0.845 \\
12 &amp; 0.406 &amp; 0.503 &amp; 0.587 &amp; 0.678 &amp; 0.727 &amp; 0.818 \\
13 &amp; 0.385 &amp; 0.484 &amp; 0.560 &amp; 0.648 &amp; 0.703 &amp; 0.791 \\
14 &amp; 0.367 &amp; 0.464 &amp; 0.538 &amp; 0.626 &amp; 0.679 &amp; 0.771 \\
15 &amp; 0.354 &amp; 0.446 &amp; 0.521 &amp; 0.604 &amp; 0.654 &amp; 0.750 \\
16 &amp; 0.341 &amp; 0.429 &amp; 0.503 &amp; 0.582 &amp; 0.635 &amp; 0.729 \\
17 &amp; 0.328 &amp; 0.414 &amp; 0.488 &amp; 0.566 &amp; 0.618 &amp; 0.711 \\
18 &amp; 0.317 &amp; 0.401 &amp; 0.472 &amp; 0.550 &amp; 0.600 &amp; 0.692 \\
19 &amp; 0.309 &amp; 0.391 &amp; 0.460 &amp; 0.535 &amp; 0.584 &amp; 0.675 \\
20 &amp; 0.299 &amp; 0.380 &amp; 0.447 &amp; 0.522 &amp; 0.570 &amp; 0.662 \\
21 &amp; 0.292 &amp; 0.370 &amp; 0.436 &amp; 0.509 &amp; 0.556 &amp; 0.647 \\
22 &amp; 0.284 &amp; 0.361 &amp; 0.425 &amp; 0.497 &amp; 0.544 &amp; 0.633 \\
23 &amp; 0.278 &amp; 0.353 &amp; 0.416 &amp; 0.486 &amp; 0.532 &amp; 0.621 \\
24 &amp; 0.271 &amp; 0.344 &amp; 0.407 &amp; 0.476 &amp; 0.521 &amp; 0.609 \\
25 &amp; 0.265 &amp; 0.337 &amp; 0.398 &amp; 0.466 &amp; 0.511 &amp; 0.597 \\
26 &amp; 0.259 &amp; 0.331 &amp; 0.390 &amp; 0.457 &amp; 0.501 &amp; 0.586 \\
27 &amp; 0.255 &amp; 0.324 &amp; 0.383 &amp; 0.449 &amp; 0.492 &amp; 0.576 \\
28 &amp; 0.250 &amp; 0.318 &amp; 0.375 &amp; 0.441 &amp; 0.483 &amp; 0.567 \\
29 &amp; 0.245 &amp; 0.312 &amp; 0.368 &amp; 0.433 &amp; 0.475 &amp; 0.558 \\ \hline
\end{tabular}
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  \textit{(Continued)}
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\begin{tabular}{|c|c|c|c|c|c|c|} \hline
   &amp; \multicolumn{6}{c|}{Nominal $\alpha$} \\ \hline
30 &amp; 0.240 &amp; 0.306 &amp; 0.362 &amp; 0.425 &amp; 0.467 &amp; 0.549 \\
31 &amp; 0.236 &amp; 0.301 &amp; 0.356 &amp; 0.419 &amp; 0.459 &amp; 0.540 \\
32 &amp; 0.232 &amp; 0.296 &amp; 0.350 &amp; 0.412 &amp; 0.452 &amp; 0.532 \\
33 &amp; 0.229 &amp; 0.291 &amp; 0.345 &amp; 0.405 &amp; 0.446 &amp; 0.525 \\
34 &amp; 0.225 &amp; 0.287 &amp; 0.340 &amp; 0.400 &amp; 0.439 &amp; 0.517 \\
35 &amp; 0.222 &amp; 0.283 &amp; 0.335 &amp; 0.394 &amp; 0.433 &amp; 0.510 \\
36 &amp; 0.219 &amp; 0.279 &amp; 0.330 &amp; 0.388 &amp; 0.427 &amp; 0.503 \\
37 &amp; 0.215 &amp; 0.275 &amp; 0.325 &amp; 0.383 &amp; 0.421 &amp; 0.497 \\
38 &amp; 0.212 &amp; 0.271 &amp; 0.321 &amp; 0.378 &amp; 0.415 &amp; 0.491 \\
39 &amp; 0.210 &amp; 0.267 &amp; 0.317 &amp; 0.373 &amp; 0.410 &amp; 0.485 \\
40 &amp; 0.207 &amp; 0.264 &amp; 0.313 &amp; 0.368 &amp; 0.405 &amp; 0.479 \\
41 &amp; 0.204 &amp; 0.261 &amp; 0.309 &amp; 0.364 &amp; 0.400 &amp; 0.473 \\
42 &amp; 0.202 &amp; 0.257 &amp; 0.305 &amp; 0.359 &amp; 0.396 &amp; 0.468 \\
43 &amp; 0.199 &amp; 0.254 &amp; 0.301 &amp; 0.355 &amp; 0.391 &amp; 0.462 \\
44 &amp; 0.197 &amp; 0.251 &amp; 0.298 &amp; 0.351 &amp; 0.386 &amp; 0.457 \\
45 &amp; 0.194 &amp; 0.248 &amp; 0.294 &amp; 0.347 &amp; 0.382 &amp; 0.452 \\
46 &amp; 0.192 &amp; 0.246 &amp; 0.291 &amp; 0.343 &amp; 0.378 &amp; 0.448 \\
47 &amp; 0.190 &amp; 0.243 &amp; 0.288 &amp; 0.340 &amp; 0.374 &amp; 0.443 \\
48 &amp; 0.188 &amp; 0.240 &amp; 0.285 &amp; 0.336 &amp; 0.370 &amp; 0.439 \\
49 &amp; 0.186 &amp; 0.238 &amp; 0.282 &amp; 0.333 &amp; 0.366 &amp; 0.434 \\
50 &amp; 0.184 &amp; 0.235 &amp; 0.279 &amp; 0.329 &amp; 0.363 &amp; 0.430 \\
51 &amp; 0.182 &amp; 0.233 &amp; 0.276 &amp; 0.326 &amp; 0.359 &amp; 0.426 \\
52 &amp; 0.180 &amp; 0.231 &amp; 0.274 &amp; 0.323 &amp; 0.356 &amp; 0.422 \\
53 &amp; 0.179 &amp; 0.228 &amp; 0.271 &amp; 0.320 &amp; 0.352 &amp; 0.418 \\
54 &amp; 0.177 &amp; 0.226 &amp; 0.268 &amp; 0.317 &amp; 0.349 &amp; 0.414 \\
55 &amp; 0.175 &amp; 0.224 &amp; 0.266 &amp; 0.314 &amp; 0.346 &amp; 0.411 \\
56 &amp; 0.174 &amp; 0.222 &amp; 0.264 &amp; 0.311 &amp; 0.343 &amp; 0.407 \\
57 &amp; 0.172 &amp; 0.220 &amp; 0.261 &amp; 0.308 &amp; 0.340 &amp; 0.404 \\
58 &amp; 0.171 &amp; 0.218 &amp; 0.259 &amp; 0.306 &amp; 0.337 &amp; 0.400 \\
59 &amp; 0.169 &amp; 0.216 &amp; 0.257 &amp; 0.303 &amp; 0.334 &amp; 0.397 \\
60 &amp; 0.168 &amp; 0.214 &amp; 0.255 &amp; 0.301 &amp; 0.331 &amp; 0.394 \\ \hline
\end{tabular}
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