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APPENDIX 1
Critical values for correlation coefficients

Critical rCritical r
dfP = 0.05P = 0.01dfP = 0.05P = 0.01
 10.997
1.000
  190.4330.549
 20.950
0.990
  200.4230.537
 30.878
0.959
  250.3810.487
 40.811
0.917
  300.3490.449
 50.754
0.874
  400.3040.393
 60.707
0.834
  500.2730.354
 70.666
0.798
  600.2500.325
 80.632
0.765
  700.2320.302
 90.602
0.735
  800.2170.283
100.576
0.708
  900.2050.267
110.553
0.684
 1000.1950.254
120.532
0.661
 1250.1740.228
130.514
0.641
 1500.1590.208
140.497
0.623
 2000.1380.181
150.482
0.606
 3000.1130.148
160.468
0.590
 4000.0980.128
170.456
0.575
 5000.0880.115
180.444
0.561
1 0000.0620.081

df   (= “degrees of freedom”) is equal to the number of observations (data pairs) minus two (thus df = n-2)

P = 0.05 and P = 0.01 refer to the probability of 5 and 1 percent, respectively, that the correlation, although “significant” is still the result of chance


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