By: Neil E. Cotter
/Statistics
/ /Student's or t-distribution
/ /Critical values (cont.)
/By: Neil E. Cotter
/Statistics
/ /Student's or t-distribution
/ /Critical values
Tool: The tn,a critical value of the t-distribution with n degrees of freedom is the value of t such that the area under the probability density function to the right of t equals a.
Table:
Critical Values of t-Distribution
an / 0.1 / 0.05 / 0.01 / 0.005 / 0.001 / 0.0005
1 / 3.078 / 6.314 / 31.821 / 63.657 / 318.313 / 636.590
2 / 1.886 / 2.920 / 6.965 / 9.925 / 22.327 / 31.598
3 / 1.638 / 2.353 / 4.541 / 5.841 / 10.215 / 12.924
4 / 1.533 / 2.132 / 3.747 / 4.604 / 7.173 / 8.610
5 / 1.476 / 2.015 / 3.365 / 4.032 / 5.893 / 6.869
6 / 1.440 / 1.943 / 3.143 / 3.707 / 5.208 / 5.959
7 / 1.415 / 1.895 / 2.998 / 3.499 / 4.782 / 5.408
8 / 1.397 / 1.860 / 2.896 / 3.355 / 4.499 / 5.041
9 / 1.383 / 1.833 / 2.821 / 3.250 / 4.296 / 4.781
10 / 1.372 / 1.812 / 2.764 / 3.169 / 4.143 / 4.587
15 / 1.341 / 1.753 / 2.602 / 2.947 / 3.733 / 4.073
20 / 1.325 / 1.725 / 2.528 / 2.845 / 3.552 / 3.849
24 / 1.318 / 1.711 / 2.492 / 2.797 / 3.467 / 3.745
30 / 1.310 / 1.697 / 2.457 / 2.750 / 3.385 / 3.646
60 / 1.296 / 1.671 / 2.390 / 2.660 / 3.232 / 3.460
99 / 1.290 / 1.660 / 2.365 / 2.626 / 3.175
100 / 1.290 / 1.660 / 2.364 / 2.626 / 3.174
120 / 1.289 / 1.685 / 2.358 / 2.617 / 3.373
∞ / 1.282 / 1.645 / 2.326 / 2.576 / 3.090 / 3.291
Ref: NIST/SEMATECH e-Handbook of Statistical Methods, http://www.itl.nist.gov/div898/handbook/eda/section3/eda3672.htm, 28 April 28, 2006.
Ref: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, and Keying Ye, Probability and Statistics for Engineers and Scientists, 7th Ed., Upper Saddle River, NJ: Prentice Hall, 2002.