{"id":472,"date":"2021-12-16T16:40:22","date_gmt":"2021-12-16T16:40:22","guid":{"rendered":"https:\/\/pressbooks.palomar.edu\/introtostats\/back-matter\/appendix-d\/"},"modified":"2025-03-27T18:28:11","modified_gmt":"2025-03-27T18:28:11","slug":"appendix-d","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.palomar.edu\/introtostats\/back-matter\/appendix-d\/","title":{"raw":"Appendix D: Critical Values for Pearson\u2019s r (Correlation Table)","rendered":"Appendix D: Critical Values for Pearson\u2019s r (Correlation Table)"},"content":{"raw":"

Critical values for Pearson's Correlation table (r table)<\/h2>\r\n<\/colgroup>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
\r\n

\"\"<\/p>\r\n<\/td>\r\n

\r\n

Level of Significance for One-Tailed Test<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

.05<\/p>\r\n<\/td>\r\n

\r\n

.025<\/p>\r\n<\/td>\r\n

\r\n

.01<\/p>\r\n<\/td>\r\n

\r\n

.005<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

Level of Significance for Two-Tailed Test<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

.10<\/p>\r\n<\/td>\r\n

\r\n

.05<\/p>\r\n<\/td>\r\n

\r\n

.02<\/p>\r\n<\/td>\r\n

\r\n

.01<\/p>\r\n<\/td>\r\n<\/tr>\r\n<\/thead>\r\n

\r\n

1<\/p>\r\n<\/td>\r\n

\r\n

.988<\/p>\r\n<\/td>\r\n

\r\n

.997<\/p>\r\n<\/td>\r\n

\r\n

.9995<\/p>\r\n<\/td>\r\n

\r\n

.9999<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

2<\/p>\r\n<\/td>\r\n

\r\n

.900<\/p>\r\n<\/td>\r\n

\r\n

.950<\/p>\r\n<\/td>\r\n

\r\n

.980<\/p>\r\n<\/td>\r\n

\r\n

.990<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

3<\/p>\r\n<\/td>\r\n

\r\n

.805<\/p>\r\n<\/td>\r\n

\r\n

.878<\/p>\r\n<\/td>\r\n

\r\n

.934<\/p>\r\n<\/td>\r\n

\r\n

.959<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

4<\/p>\r\n<\/td>\r\n

\r\n

.729<\/p>\r\n<\/td>\r\n

\r\n

.811<\/p>\r\n<\/td>\r\n

\r\n

.882<\/p>\r\n<\/td>\r\n

\r\n

.917<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

5<\/p>\r\n<\/td>\r\n

\r\n

.669<\/p>\r\n<\/td>\r\n

\r\n

.754<\/p>\r\n<\/td>\r\n

\r\n

.833<\/p>\r\n<\/td>\r\n

\r\n

.875<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

6<\/p>\r\n<\/td>\r\n

\r\n

.621<\/p>\r\n<\/td>\r\n

\r\n

.707<\/p>\r\n<\/td>\r\n

\r\n

.789<\/p>\r\n<\/td>\r\n

\r\n

.834<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

7<\/p>\r\n<\/td>\r\n

\r\n

.582<\/p>\r\n<\/td>\r\n

\r\n

.666<\/p>\r\n<\/td>\r\n

\r\n

.750<\/p>\r\n<\/td>\r\n

\r\n

.798<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

8<\/p>\r\n<\/td>\r\n

\r\n

.549<\/p>\r\n<\/td>\r\n

\r\n

.632<\/p>\r\n<\/td>\r\n

\r\n

.715<\/p>\r\n<\/td>\r\n

\r\n

.765<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

9<\/p>\r\n<\/td>\r\n

\r\n

.521<\/p>\r\n<\/td>\r\n

\r\n

.602<\/p>\r\n<\/td>\r\n

\r\n

.685<\/p>\r\n<\/td>\r\n

\r\n

.735<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

10<\/p>\r\n<\/td>\r\n

\r\n

.497<\/p>\r\n<\/td>\r\n

\r\n

.576<\/p>\r\n<\/td>\r\n

\r\n

.658<\/p>\r\n<\/td>\r\n

\r\n

.708<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

11<\/p>\r\n<\/td>\r\n

\r\n

.476<\/p>\r\n<\/td>\r\n

\r\n

.553<\/p>\r\n<\/td>\r\n

\r\n

.634<\/p>\r\n<\/td>\r\n

\r\n

.684<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

12<\/p>\r\n<\/td>\r\n

\r\n

.458<\/p>\r\n<\/td>\r\n

\r\n

.532<\/p>\r\n<\/td>\r\n

\r\n

.612<\/p>\r\n<\/td>\r\n

\r\n

.661<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

13<\/p>\r\n<\/td>\r\n

\r\n

.441<\/p>\r\n<\/td>\r\n

\r\n

.514<\/p>\r\n<\/td>\r\n

\r\n

.592<\/p>\r\n<\/td>\r\n

\r\n

.641<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

14<\/p>\r\n<\/td>\r\n

\r\n

.426<\/p>\r\n<\/td>\r\n

\r\n

.497<\/p>\r\n<\/td>\r\n

\r\n

.574<\/p>\r\n<\/td>\r\n

\r\n

.623<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

15<\/p>\r\n<\/td>\r\n

\r\n

.412<\/p>\r\n<\/td>\r\n

\r\n

.482<\/p>\r\n<\/td>\r\n

\r\n

.558<\/p>\r\n<\/td>\r\n

\r\n

.606<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

16<\/p>\r\n<\/td>\r\n

\r\n

.400<\/p>\r\n<\/td>\r\n

\r\n

.468<\/p>\r\n<\/td>\r\n

\r\n

.543<\/p>\r\n<\/td>\r\n

\r\n

.590<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

17<\/p>\r\n<\/td>\r\n

\r\n

.389<\/p>\r\n<\/td>\r\n

\r\n

.456<\/p>\r\n<\/td>\r\n

\r\n

.529<\/p>\r\n<\/td>\r\n

\r\n

.575<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

18<\/p>\r\n<\/td>\r\n

\r\n

.378<\/p>\r\n<\/td>\r\n

\r\n

.444<\/p>\r\n<\/td>\r\n

\r\n

.516<\/p>\r\n<\/td>\r\n

\r\n

.561<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

19<\/p>\r\n<\/td>\r\n

\r\n

.369<\/p>\r\n<\/td>\r\n

\r\n

.433<\/p>\r\n<\/td>\r\n

\r\n

.503<\/p>\r\n<\/td>\r\n

\r\n

.549<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

20<\/p>\r\n<\/td>\r\n

\r\n

.360<\/p>\r\n<\/td>\r\n

\r\n

.423<\/p>\r\n<\/td>\r\n

\r\n

.492<\/p>\r\n<\/td>\r\n

\r\n

.537<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

21<\/p>\r\n<\/td>\r\n

\r\n

.352<\/p>\r\n<\/td>\r\n

\r\n

.413<\/p>\r\n<\/td>\r\n

\r\n

.482<\/p>\r\n<\/td>\r\n

\r\n

.526<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

22<\/p>\r\n<\/td>\r\n

\r\n

.344<\/p>\r\n<\/td>\r\n

\r\n

.404<\/p>\r\n<\/td>\r\n

\r\n

.472<\/p>\r\n<\/td>\r\n

\r\n

.515<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

23<\/p>\r\n<\/td>\r\n

\r\n

.337<\/p>\r\n<\/td>\r\n

\r\n

.396<\/p>\r\n<\/td>\r\n

\r\n

.462<\/p>\r\n<\/td>\r\n

\r\n

.505<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

24<\/p>\r\n<\/td>\r\n

\r\n

.330<\/p>\r\n<\/td>\r\n

\r\n

.388<\/p>\r\n<\/td>\r\n

\r\n

.453<\/p>\r\n<\/td>\r\n

\r\n

.496<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

25<\/p>\r\n<\/td>\r\n

\r\n

.323<\/p>\r\n<\/td>\r\n

\r\n

.381<\/p>\r\n<\/td>\r\n

\r\n

.445<\/p>\r\n<\/td>\r\n

\r\n

.487<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

26<\/p>\r\n<\/td>\r\n

\r\n

.317<\/p>\r\n<\/td>\r\n

\r\n

.374<\/p>\r\n<\/td>\r\n

\r\n

.437<\/p>\r\n<\/td>\r\n

\r\n

.479<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

27<\/p>\r\n<\/td>\r\n

\r\n

.311<\/p>\r\n<\/td>\r\n

\r\n

.367<\/p>\r\n<\/td>\r\n

\r\n

.430<\/p>\r\n<\/td>\r\n

\r\n

.471<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

28<\/p>\r\n<\/td>\r\n

\r\n

.306<\/p>\r\n<\/td>\r\n

\r\n

.361<\/p>\r\n<\/td>\r\n

\r\n

.423<\/p>\r\n<\/td>\r\n

\r\n

.463<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

29<\/p>\r\n<\/td>\r\n

\r\n

.301<\/p>\r\n<\/td>\r\n

\r\n

.355<\/p>\r\n<\/td>\r\n

\r\n

.416<\/p>\r\n<\/td>\r\n

\r\n

.456<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

30<\/p>\r\n<\/td>\r\n

\r\n

.296<\/p>\r\n<\/td>\r\n

\r\n

.349<\/p>\r\n<\/td>\r\n

\r\n

.409<\/p>\r\n<\/td>\r\n

\r\n

.449<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

35<\/p>\r\n<\/td>\r\n

\r\n

.275<\/p>\r\n<\/td>\r\n

\r\n

.325<\/p>\r\n<\/td>\r\n

\r\n

.381<\/p>\r\n<\/td>\r\n

\r\n

.418<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

40<\/p>\r\n<\/td>\r\n

\r\n

.257<\/p>\r\n<\/td>\r\n

\r\n

.304<\/p>\r\n<\/td>\r\n

\r\n

.358<\/p>\r\n<\/td>\r\n

\r\n

.393<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

45<\/p>\r\n<\/td>\r\n

\r\n

.243<\/p>\r\n<\/td>\r\n

\r\n

.288<\/p>\r\n<\/td>\r\n

\r\n

.338<\/p>\r\n<\/td>\r\n

\r\n

.372<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

50<\/p>\r\n<\/td>\r\n

\r\n

.231<\/p>\r\n<\/td>\r\n

\r\n

.273<\/p>\r\n<\/td>\r\n

\r\n

.322<\/p>\r\n<\/td>\r\n

\r\n

.354<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

60<\/p>\r\n<\/td>\r\n

\r\n

.211<\/p>\r\n<\/td>\r\n

\r\n

.250<\/p>\r\n<\/td>\r\n

\r\n

.295<\/p>\r\n<\/td>\r\n

\r\n

.325<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

70<\/p>\r\n<\/td>\r\n

\r\n

.195<\/p>\r\n<\/td>\r\n

\r\n

.232<\/p>\r\n<\/td>\r\n

\r\n

.274<\/p>\r\n<\/td>\r\n

\r\n

.302<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

80<\/p>\r\n<\/td>\r\n

\r\n

.183<\/p>\r\n<\/td>\r\n

\r\n

.217<\/p>\r\n<\/td>\r\n

\r\n

.257<\/p>\r\n<\/td>\r\n

\r\n

.283<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

90<\/p>\r\n<\/td>\r\n

\r\n

.173<\/p>\r\n<\/td>\r\n

\r\n

.205<\/p>\r\n<\/td>\r\n

\r\n

.242<\/p>\r\n<\/td>\r\n

\r\n

.267<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

100<\/p>\r\n<\/td>\r\n

\r\n

.164<\/p>\r\n<\/td>\r\n

\r\n

.195<\/p>\r\n<\/td>\r\n

\r\n

.230<\/p>\r\n<\/td>\r\n

\r\n

.254<\/p>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>","rendered":"

Critical values for Pearson’s Correlation table (r table)<\/h2>\n\n\n\n\n\n\n<\/colgroup>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

\"\"<\/p>\n<\/td>\n

\n

Level of Significance for One-Tailed Test<\/p>\n<\/td>\n<\/tr>\n

\n

.05<\/p>\n<\/td>\n

\n

.025<\/p>\n<\/td>\n

\n

.01<\/p>\n<\/td>\n

\n

.005<\/p>\n<\/td>\n<\/tr>\n

\n

Level of Significance for Two-Tailed Test<\/p>\n<\/td>\n<\/tr>\n

\n

.10<\/p>\n<\/td>\n

\n

.05<\/p>\n<\/td>\n

\n

.02<\/p>\n<\/td>\n

\n

.01<\/p>\n<\/td>\n<\/tr>\n<\/thead>\n

\n

1<\/p>\n<\/td>\n

\n

.988<\/p>\n<\/td>\n

\n

.997<\/p>\n<\/td>\n

\n

.9995<\/p>\n<\/td>\n

\n

.9999<\/p>\n<\/td>\n<\/tr>\n

\n

2<\/p>\n<\/td>\n

\n

.900<\/p>\n<\/td>\n

\n

.950<\/p>\n<\/td>\n

\n

.980<\/p>\n<\/td>\n

\n

.990<\/p>\n<\/td>\n<\/tr>\n

\n

3<\/p>\n<\/td>\n

\n

.805<\/p>\n<\/td>\n

\n

.878<\/p>\n<\/td>\n

\n

.934<\/p>\n<\/td>\n

\n

.959<\/p>\n<\/td>\n<\/tr>\n

\n

4<\/p>\n<\/td>\n

\n

.729<\/p>\n<\/td>\n

\n

.811<\/p>\n<\/td>\n

\n

.882<\/p>\n<\/td>\n

\n

.917<\/p>\n<\/td>\n<\/tr>\n

\n

5<\/p>\n<\/td>\n

\n

.669<\/p>\n<\/td>\n

\n

.754<\/p>\n<\/td>\n

\n

.833<\/p>\n<\/td>\n

\n

.875<\/p>\n<\/td>\n<\/tr>\n

\n

6<\/p>\n<\/td>\n

\n

.621<\/p>\n<\/td>\n

\n

.707<\/p>\n<\/td>\n

\n

.789<\/p>\n<\/td>\n

\n

.834<\/p>\n<\/td>\n<\/tr>\n

\n

7<\/p>\n<\/td>\n

\n

.582<\/p>\n<\/td>\n

\n

.666<\/p>\n<\/td>\n

\n

.750<\/p>\n<\/td>\n

\n

.798<\/p>\n<\/td>\n<\/tr>\n

\n

8<\/p>\n<\/td>\n

\n

.549<\/p>\n<\/td>\n

\n

.632<\/p>\n<\/td>\n

\n

.715<\/p>\n<\/td>\n

\n

.765<\/p>\n<\/td>\n<\/tr>\n

\n

9<\/p>\n<\/td>\n

\n

.521<\/p>\n<\/td>\n

\n

.602<\/p>\n<\/td>\n

\n

.685<\/p>\n<\/td>\n

\n

.735<\/p>\n<\/td>\n<\/tr>\n

\n

10<\/p>\n<\/td>\n

\n

.497<\/p>\n<\/td>\n

\n

.576<\/p>\n<\/td>\n

\n

.658<\/p>\n<\/td>\n

\n

.708<\/p>\n<\/td>\n<\/tr>\n

\n

11<\/p>\n<\/td>\n

\n

.476<\/p>\n<\/td>\n

\n

.553<\/p>\n<\/td>\n

\n

.634<\/p>\n<\/td>\n

\n

.684<\/p>\n<\/td>\n<\/tr>\n

\n

12<\/p>\n<\/td>\n

\n

.458<\/p>\n<\/td>\n

\n

.532<\/p>\n<\/td>\n

\n

.612<\/p>\n<\/td>\n

\n

.661<\/p>\n<\/td>\n<\/tr>\n

\n

13<\/p>\n<\/td>\n

\n

.441<\/p>\n<\/td>\n

\n

.514<\/p>\n<\/td>\n

\n

.592<\/p>\n<\/td>\n

\n

.641<\/p>\n<\/td>\n<\/tr>\n

\n

14<\/p>\n<\/td>\n

\n

.426<\/p>\n<\/td>\n

\n

.497<\/p>\n<\/td>\n

\n

.574<\/p>\n<\/td>\n

\n

.623<\/p>\n<\/td>\n<\/tr>\n

\n

15<\/p>\n<\/td>\n

\n

.412<\/p>\n<\/td>\n

\n

.482<\/p>\n<\/td>\n

\n

.558<\/p>\n<\/td>\n

\n

.606<\/p>\n<\/td>\n<\/tr>\n

\n

16<\/p>\n<\/td>\n

\n

.400<\/p>\n<\/td>\n

\n

.468<\/p>\n<\/td>\n

\n

.543<\/p>\n<\/td>\n

\n

.590<\/p>\n<\/td>\n<\/tr>\n

\n

17<\/p>\n<\/td>\n

\n

.389<\/p>\n<\/td>\n

\n

.456<\/p>\n<\/td>\n

\n

.529<\/p>\n<\/td>\n

\n

.575<\/p>\n<\/td>\n<\/tr>\n

\n

18<\/p>\n<\/td>\n

\n

.378<\/p>\n<\/td>\n

\n

.444<\/p>\n<\/td>\n

\n

.516<\/p>\n<\/td>\n

\n

.561<\/p>\n<\/td>\n<\/tr>\n

\n

19<\/p>\n<\/td>\n

\n

.369<\/p>\n<\/td>\n

\n

.433<\/p>\n<\/td>\n

\n

.503<\/p>\n<\/td>\n

\n

.549<\/p>\n<\/td>\n<\/tr>\n

\n

20<\/p>\n<\/td>\n

\n

.360<\/p>\n<\/td>\n

\n

.423<\/p>\n<\/td>\n

\n

.492<\/p>\n<\/td>\n

\n

.537<\/p>\n<\/td>\n<\/tr>\n

\n

21<\/p>\n<\/td>\n

\n

.352<\/p>\n<\/td>\n

\n

.413<\/p>\n<\/td>\n

\n

.482<\/p>\n<\/td>\n

\n

.526<\/p>\n<\/td>\n<\/tr>\n

\n

22<\/p>\n<\/td>\n

\n

.344<\/p>\n<\/td>\n

\n

.404<\/p>\n<\/td>\n

\n

.472<\/p>\n<\/td>\n

\n

.515<\/p>\n<\/td>\n<\/tr>\n

\n

23<\/p>\n<\/td>\n

\n

.337<\/p>\n<\/td>\n

\n

.396<\/p>\n<\/td>\n

\n

.462<\/p>\n<\/td>\n

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