Enter the t-value and the total number of observations into the calculator to determine the R Critical Value. This calculator can also evaluate any of the variables given the others are known.

R Critical Value Formula

The following formula is used to calculate the R Critical Value.

Rc = t / sqrt((n - 2 + t^2) / n)


  • Rc is the R Critical Value t is the t-value from the t-distribution table n is the total number of observations

To calculate the R Critical Value, divide the t-value by the square root of the result of the total number of observations minus 2 plus the square of the t-value, all divided by the total number of observations.

What is a R Critical Value?

A R critical value is a point on the scale of the test statistic beyond which we reject the null hypothesis, and state that the alternative hypothesis is true. It is used in hypothesis testing to determine whether to reject or fail to reject the null hypothesis. The critical value for a given test depends on the level of significance and the statistical test being used. In the context of R, a programming language for statistical computing, the critical value might be calculated directly or looked up in a table, depending on the specific test being used.