June 23, 2025 - Cells within the table represent the critical F-value for a right-tailed test. Calculating the degrees of freedom depends on the type of F-test you’re performing. Learn about the F-test in ANOVA.

There are two tables here. The first one gives critical values of F at the p = 0.05 level of significance.

Critical Values of the F-Distribution: α = 0.05 · Numerator Degrees of Freedom

F Distribution Table · 3 · α = 0.025 · d.f.N. d.f.D. 1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · ∞ · 1 · 647.8 · 799.5 · 864.2 · 899.6 · 921.8 · 937.1 · 948.2 · 956.7 · 963.3 · 968.6 · 976.7 ·

F Table · for α = 0.05 · / df1=1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · ∞ · df2=1 · 161.4476 · 199.5 · 215.7073 · 224.5832 · 230.1619 · 233.986 · 236.7684 · 238.8827 · 240.5433 · 241.8817 · 243.906 ·

The right tail area is given in the name of the table. For example, to determine the .05 critical value for an F distribution with 10 and 12 degrees of freedom, look in the 10 column (numerator) and 12 row (denominator) of the F Table for alpha=.05. F(.05, 10, 12) = 2.7534.

December 7, 2015 - Using the F-tables is the third detail. Remember that F-tables are one-tail tables and that ANOVA is a one-tail test. Though the null hypothesis is that all of the means are equal, you are testing that hypothesis by seeing if the variance between ...

June 24, 2025 - To perform this test, we must calculate the F-test statistical value and compare it with the critical value from the F-distribution table, based on the chosen significance level or p-value (usually 0.05) and the degrees of freedom. An ANOVA table comprises the following components:

April 16, 2025 - ANOVA F value is a statistic that determines if observed group mean differences are statistically significant or due to random variation.

September 13, 2025 - The ANOVA F-test can be used to assess whether any of the treatments are on average superior, or inferior, to the others versus the null hypothesis that all four treatments yield the same mean response.

The ratio of these two is the F statistic from an F distribution with (number of groups – 1) as the numerator degrees of freedom and (number of observations – number of groups) as the denominator degrees of freedom. These statistics are summarized in the ANOVA table.

The F table provides critical values for the F-distribution, which is commonly used in analysis of variance (ANOVA), comparing variances, and testing the overall significance of regression models.

Why is the ratio MSR/MSE labeled F* in the analysis of variance table? That's because the ratio is known to follow an F distribution with 1 numerator degree of freedom and n-2 denominator degrees of freedom. For this reason, it is often referred to as the analysis of variance F-test.

April 14, 2020 - In an ANOVA, the f statistic is calculated as Treatment MS / Error MS. This statistic indicates whether or not the mean score for all three groups is equal. In this example, the F statistic is 29.4 / 16.9 = 1.74.

For each combination of degrees of freedom in the numerator (df numerator) and denominator (df denominator), the table provides the critical value of F at both the 0.05 and 0.01 levels of significance.

The F Distribution Table is used to find the correct critical value of F, which determines what results are significant for a set of data. It is used for ANOVAs, where the result is an F-ratio, and in calculating the significance of a regression ...

June 12, 2024 - Both tables show degrees of freedom of the numerator (which is based on the number of groups) in the columns; the options are from 1 to 10. If you have 11 or more groups (or combinations), use the column for 10.

Therefore, we'll calculate the P-value, as it appears in the column labeled P, by comparing the F-statistic to an F-distribution with m−1 numerator degrees of freedom and n−m denominator degrees of freedom. Now, having defined the individual entries of a general ANOVA table, let's revisit ...

July 3, 2025 - You can find the critical values for an ANOVA hypothesis using the F-table.