University of York
Department of Mathematics
Search:

Home / News / People / Admissions / Research / Teaching / Links


\documentclass{article}

\begin{document}

\thispagestyle{empty}

\begin{center}
  {\small\textbf{Upper Critical Values of Spearman's}}
  {\small\textbf{Rank Correlation Coefficient $R_s$}}
\end{center}

{\footnotesize
\begin{center}
  \begin{tabular}{ll}
    Note: & In the table below, the critical values give significance 
            levels as \\ & close as possible to but 
            not exceeding the nominal $\alpha$.
  \end{tabular}
\end{center}

\begin{center}
\begin{tabular}{|c|c|c|c|c|c|c|} \hline
   & \multicolumn{6}{c|}{Nominal $\alpha$} \\ \hline
$n$&  0.10 &  0.05 & 0.025 &  0.01 & 0.005 & 0.001 \\ \hline
 4 & 1.000 & 1.000 &   -   &   -   &   -   &   -   \\
 5 & 0.800 & 0.900 & 1.000 & 1.000 &   -   &   -   \\
 6 & 0.657 & 0.829 & 0.886 & 0.943 & 1.000 &   -   \\
 7 & 0.571 & 0.714 & 0.786 & 0.893 & 0.929 & 1.000 \\
 8 & 0.524 & 0.643 & 0.738 & 0.833 & 0.881 & 0.952 \\
 9 & 0.483 & 0.600 & 0.700 & 0.783 & 0.833 & 0.917 \\
10 & 0.455 & 0.564 & 0.648 & 0.745 & 0.794 & 0.879 \\
11 & 0.427 & 0.536 & 0.618 & 0.709 & 0.755 & 0.845 \\
12 & 0.406 & 0.503 & 0.587 & 0.678 & 0.727 & 0.818 \\
13 & 0.385 & 0.484 & 0.560 & 0.648 & 0.703 & 0.791 \\
14 & 0.367 & 0.464 & 0.538 & 0.626 & 0.679 & 0.771 \\
15 & 0.354 & 0.446 & 0.521 & 0.604 & 0.654 & 0.750 \\
16 & 0.341 & 0.429 & 0.503 & 0.582 & 0.635 & 0.729 \\
17 & 0.328 & 0.414 & 0.488 & 0.566 & 0.618 & 0.711 \\
18 & 0.317 & 0.401 & 0.472 & 0.550 & 0.600 & 0.692 \\
19 & 0.309 & 0.391 & 0.460 & 0.535 & 0.584 & 0.675 \\
20 & 0.299 & 0.380 & 0.447 & 0.522 & 0.570 & 0.662 \\
21 & 0.292 & 0.370 & 0.436 & 0.509 & 0.556 & 0.647 \\
22 & 0.284 & 0.361 & 0.425 & 0.497 & 0.544 & 0.633 \\
23 & 0.278 & 0.353 & 0.416 & 0.486 & 0.532 & 0.621 \\
24 & 0.271 & 0.344 & 0.407 & 0.476 & 0.521 & 0.609 \\
25 & 0.265 & 0.337 & 0.398 & 0.466 & 0.511 & 0.597 \\
26 & 0.259 & 0.331 & 0.390 & 0.457 & 0.501 & 0.586 \\
27 & 0.255 & 0.324 & 0.383 & 0.449 & 0.492 & 0.576 \\
28 & 0.250 & 0.318 & 0.375 & 0.441 & 0.483 & 0.567 \\
29 & 0.245 & 0.312 & 0.368 & 0.433 & 0.475 & 0.558 \\ \hline
\end{tabular}
\end{center}

\bigskip

\begin{flushright}
  \textit{(Continued)}
\end{flushright}

\begin{center}
\begin{tabular}{|c|c|c|c|c|c|c|} \hline
   & \multicolumn{6}{c|}{Nominal $\alpha$} \\ \hline
30 & 0.240 & 0.306 & 0.362 & 0.425 & 0.467 & 0.549 \\
31 & 0.236 & 0.301 & 0.356 & 0.419 & 0.459 & 0.540 \\
32 & 0.232 & 0.296 & 0.350 & 0.412 & 0.452 & 0.532 \\
33 & 0.229 & 0.291 & 0.345 & 0.405 & 0.446 & 0.525 \\
34 & 0.225 & 0.287 & 0.340 & 0.400 & 0.439 & 0.517 \\
35 & 0.222 & 0.283 & 0.335 & 0.394 & 0.433 & 0.510 \\
36 & 0.219 & 0.279 & 0.330 & 0.388 & 0.427 & 0.503 \\
37 & 0.215 & 0.275 & 0.325 & 0.383 & 0.421 & 0.497 \\
38 & 0.212 & 0.271 & 0.321 & 0.378 & 0.415 & 0.491 \\
39 & 0.210 & 0.267 & 0.317 & 0.373 & 0.410 & 0.485 \\
40 & 0.207 & 0.264 & 0.313 & 0.368 & 0.405 & 0.479 \\
41 & 0.204 & 0.261 & 0.309 & 0.364 & 0.400 & 0.473 \\
42 & 0.202 & 0.257 & 0.305 & 0.359 & 0.396 & 0.468 \\
43 & 0.199 & 0.254 & 0.301 & 0.355 & 0.391 & 0.462 \\
44 & 0.197 & 0.251 & 0.298 & 0.351 & 0.386 & 0.457 \\
45 & 0.194 & 0.248 & 0.294 & 0.347 & 0.382 & 0.452 \\
46 & 0.192 & 0.246 & 0.291 & 0.343 & 0.378 & 0.448 \\
47 & 0.190 & 0.243 & 0.288 & 0.340 & 0.374 & 0.443 \\
48 & 0.188 & 0.240 & 0.285 & 0.336 & 0.370 & 0.439 \\
49 & 0.186 & 0.238 & 0.282 & 0.333 & 0.366 & 0.434 \\
50 & 0.184 & 0.235 & 0.279 & 0.329 & 0.363 & 0.430 \\
51 & 0.182 & 0.233 & 0.276 & 0.326 & 0.359 & 0.426 \\
52 & 0.180 & 0.231 & 0.274 & 0.323 & 0.356 & 0.422 \\
53 & 0.179 & 0.228 & 0.271 & 0.320 & 0.352 & 0.418 \\
54 & 0.177 & 0.226 & 0.268 & 0.317 & 0.349 & 0.414 \\
55 & 0.175 & 0.224 & 0.266 & 0.314 & 0.346 & 0.411 \\
56 & 0.174 & 0.222 & 0.264 & 0.311 & 0.343 & 0.407 \\
57 & 0.172 & 0.220 & 0.261 & 0.308 & 0.340 & 0.404 \\
58 & 0.171 & 0.218 & 0.259 & 0.306 & 0.337 & 0.400 \\
59 & 0.169 & 0.216 & 0.257 & 0.303 & 0.334 & 0.397 \\
60 & 0.168 & 0.214 & 0.255 & 0.301 & 0.331 & 0.394 \\ \hline
\end{tabular}
\end{center}

\end{document}

% 

Home / News / People / Admissions / Research / Teaching / Links


Text only version

Disclaimer

Page maintained by (gwd2@york.ac.uk).

Last Updated: May 2004