Point Biserial Correlation

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Point Biserial Correlation

• Correlation Coefficient between a Binary Variable
  and a Continuous Variable

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Gender and Math Score
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Gender
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Binary Variable
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Mean and Variance of a Binary Variable
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Math Scores Y
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Binary variable and Continuous Variable
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Scatter Plot for X and Y
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Male Group Mean
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Female Group Mean
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Regression on Categories
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Regression Line
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The Point Biserial

• Geometrical Representation

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Slope of Regression Line
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Slope of Regression Line
M1 M0
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Slope of Regression Line in Obtained Scores
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Slope of Regression Line
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Point Biserial Correlation in Obtained Scores
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Point Biserial Correlation in Obtained Scores
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Standard Deviations for X and Y
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Point Biserial Correlation in Obtained Scores
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Point Biseial Coefficient of Correlation
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Coefficient of Determination

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rp.bis Squared
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Coefficient of Determination
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Variance of Predicted Scores
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Predicted Variance
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Variance of Error Scores
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Variance of Error Scores
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Summary Table
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Means and Variances