Upper Critical Values Table for Kendall's Rank Correlation Coefficient

The Kendall's Rank Correlation Coefficient is also known as Kendall's tau coefficient. The coefficient is used to determine the the association between two measured quantities. It is a measure of rank correlation. In the table shown below, the upper critical values gives the closest significance levels but not exceeding the nominal α value.

Nominal α
n0.100.050.0250.010.0050.001
41.0001.000----
50.8000.8001.0001.000--
60.6000.7330.8670.8671.000-
70.5240.6190.7140.8100.9051.000
80.4290.5710.6430.7140.7860.857
90.3890.5000.5560.6670.7220.833
100.3780.4670.5110.6000.6440.778
110.3450.4180.4910.5640.6000.709
120.3030.3940.4550.5450.5760.667
130.3080.3590.4360.5130.5640.641
140.2750.3630.4070.4730.5160.604
150.2760.3330.3900.4670.5050.581
160.2500.3170.3830.4330.4830.567
170.2500.3090.3680.4260.4710.544
180.2420.2940.3460.4120.4510.529
190.2280.2870.3330.3920.4390.509
200.2210.2740.3260.3790.4210.495
210.2100.2670.3140.3710.4100.486
220.2030.2640.3070.3590.3940.472
230.2020.2570.2960.3520.3910.455
240.1960.2460.2900.3410.3770.449
250.1930.2400.2870.3330.3670.440
260.1880.2370.2800.3290.3600.428
270.1790.2310.2710.3220.3560.419
280.1800.2280.2650.3120.3440.413
290.1720.2220.2610.3100.3400.404
300.1720.2180.2550.3010.3330.393
310.1660.2130.2520.2950.3250.389
320.1650.2100.2460.2900.3230.379
330.1630.2050.2420.2880.3140.375
340.1590.2010.2370.2800.3120.369
350.1560.1970.2340.2770.3040.361
360.1520.1940.2320.2730.3020.359
370.1500.1920.2280.2670.2970.351
380.1490.1890.2230.2630.2920.346
390.1470.1880.2200.2600.2870.341
400.1440.1850.2180.2560.2850.338
410.1410.1800.2150.2540.2800.334
420.1410.1780.2130.2500.2750.329
430.1380.1760.2090.2470.2740.324
440.1370.1730.2070.2430.2680.321
450.1350.1720.2040.2400.2670.317
460.1320.1690.2020.2390.2640.314
470.1320.1670.1990.2360.2600.310
480.1290.1670.1970.2320.2570.307
490.1290.1630.1960.2300.2530.303
500.1270.1620.1920.2280.2510.300
510.1260.1610.1910.2250.2490.297
520.1240.1580.1890.2230.2460.294
530.1230.1570.1870.2210.2440.290
540.1220.1560.1850.2190.2410.287
550.1210.1540.1820.2160.2390.285
560.1190.1520.1810.2140.2360.282
570.1180.1520.1790.2120.2340.279
580.1170.1490.1770.2100.2320.276
590.1160.1480.1760.2090.2300.274
600.1150.1470.1740.2070.2280.272


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