When would you use a point-biserial correlation?

When would you use a point-biserial correlation?

Introduction. A point-biserial correlation is used to measure the strength and direction of the association that exists between one continuous variable and one dichotomous variable.

How do you interpret a point-biserial correlation?

Like all Correlation Coefficients (e.g. Pearson’s r, Spearman’s rho), the Point-Biserial Correlation Coefficient measures the strength of association of two variables in a single measure ranging from -1 to +1, where -1 indicates a perfect negative association, +1 indicates a perfect positive association and 0 indicates …

What are the benefits to using a correlation coefficient?

Correlation coefficients are used to measure the strength of the relationship between two variables. Pearson correlation is the one most commonly used in statistics. This measures the strength and direction of a linear relationship between two variables.

What does a point-biserial correlation squared tell us?

The point biserial correlation coefficient, rpbi, is a special case of Pearson’s correlation coefficient. It measures the relationship between two variables: One continuous variable (must be ratio scale or interval scale).

What is a good point Biserial score?

Values for point-biserial range from -1.00 to 1.00. Values of 0.15 or higher mean that the item is performing well (Varma, 2006). According to Varma, good items typically have a point-biserial exceeding 0.25. Items with incorrect keys will show point-biserials close to or below zero.

What is a good point Biserial correlation?

Values for point-biserial range from -1.00 to 1.00. Values of 0.15 or higher mean that the item is performing well (Varma, 2006). According to Varma, good items typically have a point-biserial exceeding 0.25. As a rule of thumb, items with a point-biserial below 0.10 should be examined for a possible incorrect key.

How is point Biserial calculated?

The point-biserial correlation is mathematically equivalent to the Pearson (product moment) correlation; that is, if we have one continuously measured variable X and a dichotomous variable Y, rXY = rpb. This can be shown by assigning two distinct numerical values to the dichotomous variable.

What is the difference between discrimination index and point-biserial?

The difference between the correct responses as a percentage of the upper 27% and lower 27% of the total group can tell us whether an item has discriminated the high scorers and low scorers on the test. Discrimination Index (Point Biserial) is a much more robust statistic to examine an item’s discrimination power.

How does point-biserial work?

Point biserial in the context of an exam is a way of measuring the consistency of the relationship between a candidate’s overall exam mark (a continuous variable – i.e. anywhere from 0-100%) and a candidate’s item mark (a dichotomous variable i.e. with only two possible outcomes).