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  • Skip Navigation LinksMultiple Regression F-Value and p-Value Formulas

Multiple Regression F-Value and p-Value Formulas

Below you will find descriptions and details for the 5 formulas that are used to compute F-values and their associate probabilities (p-values) for a multiple regression study.

Beta function:
Beta function formula
Cumulative distribution function (CDF) for the F-distribution:
Cumulative distribution function (CDF) for the F-distribution formula
Variable definitions:
d1 and d2 = the degrees of freedom
I = regularized lower incomplete beta function
Lower incomplete beta function:
Lower incomplete beta function formula
Multiple regression F-value:
Multiple regression F-value formula
Variable definitions:
R2 = variance accounted for by the regression model
k = number of predictors in the model
n = total sample size
Regularized lower incomplete beta function:
Regularized lower incomplete beta function formula
Variable definitions:
the numerator = lower incomplete beta function
the denominator = beta function
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