Critical Values of Correlation Coefficient (R)

How to Use The Table

If the value of R to be tested is greater than the critical for the number of XY pairs at the required level of significance, it can be accepted that there is a significant relationship between X and Y and that the correlation is not due to chance.

Example

The table shows the results of two test:

Test	No of XY Pairs	Correlation Coefficient	Significance Level	Critical Value	Significant
A	15	0.910	0.05	0.514	Yes
B	15	0.170	0.05	0.514	No

Table

Number of XY Pairs (N)	Degrees of Freedom (N-2)	Confidence
		0.10	0.05	0.01
3	1	0.988	0.997	1.000
4	2	0.900	0.950	0.990
5	3	0.805	0.878	0.959
6	4	0.729	0.811	0.917
7	5	0.669	0.754	0.875
8	6	0.621	0.707	0.834
9	7	0.582	0.666	0.798
10	8	0.549	0.632	0.765
11	9	0.521	0.602	0.735
12	10	0.497	0.576	0.708
13	11	0.476	0.553	0.684
14	12	0.458	0.532	0.661
15	13	0.441	0.514	0.641
16	14	0.426	0.497	0.623
17	15	0.412	0.482	0.606
18	16	0.400	0.468	0.590
19	17	0.389	0.456	0.575
20	18	0.378	0.444	0.561
21	19	0.369	0.433	0.549
22	20	0.360	0.423	0.537
23	21	0.352	0.413	0.526
24	22	0.344	0.404	0.515
25	23	0.337	0.396	0.505
26	24	0.330	0.388	0.496
27	25	0.323	0.381	0.487
28	26	0.317	0.374	0.479
29	27	0.311	0.367	0.471
30	28	0.306	0.361	0.463
31	29	0.301	0.355	0.456
32	30	0.296	0.349	0.449
33	31	0.291	0.344	0.442
34	32	0.287	0.339	0.436
35	33	0.283	0.334	0.430
36	34	0.279	0.329	0.424
37	35	0.275	0.325	0.418
38	36	0.271	0.320	0.413
39	37	0.267	0.316	0.408
40	38	0.264	0.312	0.403
41	39	0.260	0.308	0.398
42	40	0.257	0.304	0.393
43	41	0.254	0.301	0.389
44	42	0.251	0.297	0.384
45	43	0.248	0.294	0.380
46	44	0.246	0.291	0.376
47	45	0.243	0.288	0.372
48	46	0.240	0.285	0.368
49	47	0.238	0.282	0.365
50	48	0.235	0.279	0.361

Page updated: 30-Mar-2006

For more information: info@brighton-webs.co.uk