Statistical Tables
Critical value tables for the t, z, chi-square and F distributions, each with a calculator for exact values and p-values. Free to use, print and share in your classes.
t table
Critical values of Student's t for one- and two-tailed tests and confidence intervals.
Tablez table
Standard normal cumulative probabilities for positive and negative z scores.
TableChi-square table
Critical values of χ² for tests of independence and goodness of fit.
TableF table
Critical values of F for ANOVA and regression at α = .10, .05, .025 and .01.
Most used critical values
| Distribution | α = .10 | α = .05 | α = .01 |
|---|---|---|---|
| z (two-tailed) | 1.645 | 1.960 | 2.576 |
| t, df = 10 (two-tailed) | 1.812 | 2.228 | 3.169 |
| t, df = 30 (two-tailed) | 1.697 | 2.042 | 2.750 |
| χ², df = 1 | 2.706 | 3.841 | 6.635 |
| χ², df = 4 | 7.779 | 9.488 | 13.277 |
| F (2, 30) | 2.489 | 3.316 | 5.390 |
Critical value or p-value?
A table tells you whether a statistic passes a threshold. Software gives the exact p-value, which APA style asks you to report (for example p = .032 rather than p < .05). Each table page has a calculator for exact values, and every test on this site reports exact p-values with an APA results sentence.
Which table do I need?
- t table: t-tests and confidence intervals for means when the population SD is unknown.
- z table: z scores, percentiles, tests of proportions and large-sample tests.
- Chi-square table: tests of independence, goodness of fit and variance tests.
- F table: ANOVA, ANCOVA, regression model tests and Levene's test.
Not sure which test to run? Use the test selector.
Frequently asked questions
What is a critical value in statistics?
The cut-off on a test statistic's distribution beyond which the result is statistically significant at the chosen α. If the observed statistic is more extreme than the critical value, the null hypothesis is rejected.
Are these tables free to print and use in class?
Yes. Each page has a print button that gives a clean printable version (the F page prints all four α levels). Please link to the page if you share it online.