How To Calculate T Critical Value By Hand

Calculating the t critical value by hand is a fundamental statistical skill. It helps determine if there’s a significant difference between two populations, making it crucial in hypothesis testing.

1. Enter the degrees of freedom (df) and significance level (α).
2. Click ‘Calculate’.
3. View the results and chart below.

The t critical value is calculated using the t-distribution, which depends on the degrees of freedom and significance level. The formula is:

t = t_{df, α/2}

Comparison of t critical values for different df and α

df	α = 0.05	α = 0.01

• Always use the correct df for your test.
• Remember, a larger t critical value means a smaller p-value is needed to reject the null hypothesis.

What are degrees of freedom?

Degrees of freedom (df) is a concept in statistics that refers to the number of values in the final calculation of a statistic that are free to vary.

For more information, see:

• Statistics How To’s T-Table
• Social Science Statistics – Z-Test