15.7: Appendix G- The r-Tables
- Page ID
- 50197
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)The critical values shown are for use with non-directional (two-tailed) and directional (one-tailed) bivariate correlations (\(r\)). Degrees of Freedom \((df) = n – 2\)
|
Degrees of Freedom |
two-tailed test |
one-tailed test |
|||
|
alpha level: |
\(\alpha\) = 0.05 |
\(\alpha\) = 0.01 |
\(\alpha\) = 0.05 |
\(\alpha\) = 0.01 |
|
|
1 |
.997 |
1.000 |
.988 |
1.000 |
|
|
2 |
.950 |
.99 |
.900 |
.980 |
|
|
3 |
.878 |
.959 |
.805 |
.934 |
|
|
4 |
.811 |
.917 |
.729 |
.882 |
|
|
5 |
.754 |
.875 |
.669 |
.833 |
|
|
6 |
.707 |
.834 |
.621 |
.789 |
|
|
7 |
.666 |
.798 |
.582 |
.760 |
|
|
8 |
.632 |
.765 |
.549 |
.716 |
|
|
9 |
.602 |
.735 |
.521 |
.685 |
|
|
10 |
.576 |
.708 |
.497 |
.658 |
|
|
11 |
553 |
.684 |
.476 |
.634 |
|
|
12 |
.532 |
.661 |
.458 |
.612 |
|
|
13 |
.514 |
.641 |
.441 |
.592 |
|
|
14 |
.497 |
.623 |
.426 |
.574 |
|
|
15 |
.482 |
.606 |
.412 |
.558 |
|
|
16 |
.468 |
.590 |
.400 |
.542 |
|
|
17 |
.456 |
.575 |
.389 |
.528 |
|
|
18 |
.444 |
.561 |
.378 |
.516 |
|
|
19 |
.433 |
.549 |
.369 |
.503 |
|
|
20 |
.423 |
.537 |
.36 |
.492 |
|
|
21 |
.413 |
.526 |
.352 |
.482 |
|
|
22 |
.404 |
.515 |
.344 |
.472 |
|
|
23 |
.396 |
.505 |
.337 |
.462 |
|
|
24 |
.388 |
.496 |
.33 |
.453 |
|
|
25 |
.381 |
.487 |
.323 |
.445 |
|
|
26 |
.374 |
.479 |
.317 |
.437 |
|
|
27 |
.367 |
.471 |
.311 |
.430 |
|
|
28 |
.361 |
.463 |
.306 |
.423 |
|
|
29 |
.355 |
.456 |
.301 |
.416 |
|
|
30 |
.349 |
.449 |
.296 |
.409 |
|