A26 APPENDIX B Tables 10 and 11—Critical Values for the Spearman Rank and Pearson Correlation Coefficients Table 10—Critical Values for the Spearman Rank Correlation Coefficient Reject H0: rs = 0 when the absolute value of rs is greater than the value in the table. n A = 0.10 A = 0.05 A = 0.01 5 0.900 — — 6 0.829 0.886 — 7 0.714 0.786 0.929 8 0.643 0.738 0.881 9 0.600 0.700 0.833 10 0.564 0.648 0.794 11 0.536 0.618 0.818 12 0.497 0.591 0.780 13 0.475 0.566 0.745 14 0.457 0.545 0.716 15 0.441 0.525 0.689 16 0.425 0.507 0.666 17 0.412 0.490 0.645 18 0.399 0.476 0.625 19 0.388 0.462 0.608 20 0.377 0.450 0.591 21 0.368 0.438 0.576 22 0.359 0.428 0.562 23 0.351 0.418 0.549 24 0.343 0.409 0.537 25 0.336 0.400 0.526 26 0.329 0.392 0.515 27 0.323 0.385 0.505 28 0.317 0.377 0.496 29 0.311 0.370 0.487 30 0.305 0.364 0.478 From the Institute of Mathematical Statistics. Table 11—Critical Values for the Pearson Correlation Coefficient The correlation is significant when the absolute value of r is greater than the value in the table. n A = 0.05 A = 0.01 4 0.950 0.990 5 0.878 0.959 6 0.811 0.917 7 0.754 0.875 8 0.707 0.834 9 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 18 0.468 0.590 19 0.456 0.575 20 0.444 0.561 21 0.433 0.549 22 0.423 0.537 23 0.413 0.526 24 0.404 0.515 25 0.396 0.505 26 0.388 0.496 27 0.381 0.487 28 0.374 0.479 29 0.367 0.471 30 0.361 0.463 35 0.334 0.430 40 0.312 0.403 45 0.294 0.380 50 0.279 0.361 55 0.266 0.345 60 0.254 0.330 65 0.244 0.317 70 0.235 0.306 75 0.227 0.296 80 0.220 0.286 85 0.213 0.278 90 0.207 0.270 95 0.202 0.263 100 0.197 0.256 The critical values in Table 11 were generated using Excel.
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