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16.4: Critical Values for Pearson's r

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    This table lists critical values for one- and two-tailed correlations at several levels of significance, arranged into columns. Each column contains two levels of significance, separated by a slash (/). These two values refer to the level of significance for a one-tailed test / the level of significance for a two-tailed test.

    Critical Values for Pearson’s r
    df (n - 2) .05 / .10 .025 / .05 .01 / .02 .005 / .01
    1 0.988 0.997 0.9995 0.9999
    2 0.9 0.95 0.98 0.99
    3 0.805 0.878 0.934 0.959
    4 0.729 0.811 0.882 0.917
    5 0.669 0.754 0.833 0.875
    6 0.621 0.707 0.789 0.834
    7 0.582 0.666 0.75 0.798
    8 0.549 0.632 0.715 0.765
    9 0.521 0.602 0.685 0.735
    10 0.497 0.576 0.658 0.708
    11 0.476 0.553 0.634 0.684
    12 0.458 0.532 0.612 0.661
    13 0.441 0.514 0.592 0.641
    14 0.426 0.497 0.574 0.623
    15 0.412 0.482 0.558 0.606
    16 0.4 0.468 0.543 0.59
    17 0.389 0.456 0.529 0.575
    18 0.378 0.444 0.516 0.561
    19 0.369 0.433 0.503 0.549
    20 0.36 0.423 0.492 0.537
    21 0.352 0.413 0.482 0.526
    22 0.344 0.404 0.472 0.515
    23 0.337 0.396 0.462 0.505
    24 0.33 0.388 0.453 0.496
    25 0.323 0.381 0.445 0.487
    26 0.317 0.374 0.437 0.479
    27 0.311 0.367 0.43 0.471
    28 0.306 0.361 0.423 0.463
    29 0.301 0.355 0.416 0.456
    30 0.296 0.349 0.409 0.449
    35 0.275 0.325 0.381 0.418
    40 0.257 0.304 0.358 0.393
    45 0.243 0.288 0.338 0.372
    50 0.231 0.273 0.322 0.354
    60 0.211 0.25 0.295 0.325
    70 0.195 0.232 0.274 0.302
    80 0.183 0.217 0.257 0.283
    90 0.173 0.205 0.242 0.267
    100 0.164 0.195 0.23 0.254

    16.4: Critical Values for Pearson's r is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.