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Point-biserial correlation calculator

Paste numeric values and their matching binary group codes 0 and 1 in the same order.

Every value must have one matching group code.

Point-biserial correlation rpb: —

Fill in the fields above — the result is computed on this page.

Observations
—
Group 0 size
—
Group 1 size
—
Group 0 mean
—
Group 1 mean
—
Overall standard deviation
—
t statistic
—
Degrees of freedom
—
Two-sided p value
—

What do these numbers mean?
  • Interpret the sign together with the category coded as 1.
  • Report rpb, group sizes, group means and the p value.

Groups must be genuinely binary, observations independent, and the numeric outcome suitable for comparing means.

How do I use this page?
  1. Paste the numeric values.
  2. Paste matching 0 and 1 codes.
  3. Read rpb, group means and the t test.

What this page does not do: Groups must be genuinely binary, observations independent, and the numeric outcome suitable for comparing means.

Further reading

Theory — what is point-biserial correlation?

Point-biserial correlation is a special case of Pearson correlation where one variable is numeric and the other has exactly two natural categories coded as 0 and 1. The sign of the coefficient depends on how groups are coded — a positive value means a higher mean of the numeric variable in group 1. The calculator takes numeric values with matching group codes, entered in the same order. If groups use other labels, recode them to 0 and 1 first so the sign has a clear meaning.

Frequently asked questions

Can I use group codes 1 and 2?
Recode them to 0 and 1 first so the sign has an unambiguous interpretation.
Is this the same as Pearson correlation?
Computationally yes when one variable is binary 0/1. This formula exposes the difference between group means.

See also

← All calculators

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