Pearson, Spearman, and Point-Biserial Correlations-ECO6416

# Pearson, Spearman, and Point-Biserial Correlations-ECO6416...

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Pearson, Spearman, and Point-Biserial Correlations There are measures that describe the degree to which two variables are linearly related. For the majority of these measures, the correlation is expressed as a coefficient that ranges from 1.00 to -1.00. A value of 1 is indicating a perfect linear relationship, such that knowing the value of one variable will allow perfect prediction of the value of the related value. A value of 0 is indicating no predictability by a linear model. With negative values indicating that, when the value of one variable is higher than average, the other is lower than average (and vice versa); and positive values indicating that, when the value of one variable is high, so is the other (and vice versa). Correlation is similar to the derivative you have learned in calculus (a deterministic course). The Pearson's product correlation is an index of the linear relationship between two variables. The Pearson's correlation is r = SS xy / (SS xx × SS yy ) 0.5 A positive relationship indicates that if an individual value of x is above the mean of x's, then this individual x is likely to have a y value that is above the mean of y's, and vice versa. A negative relationship would be an x score above the mean of x and a y score below the mean of y. It is a measure of the relationship between variables and an index of the proportion of individual differences in one variable that can be associated with the individual differences in another

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Pearson, Spearman, and Point-Biserial Correlations-ECO6416...

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