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F.DIST

The F.DIST function returns the left-tailed F distribution for two data sets.

Allows to determine the probability that the difference between variances occurred randomly.

This function can be useful for analyzing probabilities and statistical data.

Syntax​

F.DIST(x, deg_freedom1, deg_freedom2, cumulative)

ArgumentDescriptionPermitted values
xRatio of variancesAny real non-negative number ≥0 or a reference to a cell containing a number
deg_freedom1Number of degrees of freedom for the variance in the numeratorPositive real number or a reference to a cell containing a number
deg_freedom2Number of degrees of freedom for the variance in the denominatorPositive real number or a reference to a cell containing a number
cumulativeBoolean value that determines the form of the function to be returned: the normal cumulative distribution function (TRUE) or the probability density function (FALSE)TRUE or FALSE

Examples of use​

Calculation of the cumulative value of the Fisher distribution for x = 2.5, degrees of freedom 5 and 10:

=F.DIST(2.5, 5, 10, TRUE)

Result: approximately 0.89799.

Calculation of the probability density function at point x = 2.5:

=F.DIST(2.5, 5, 10, FALSE)

Result: approximately 0.09359.

Notes​

  • The values of the arguments for degrees of freedom (deg_freedom1 and deg_freedom2) are rounded to integers if they are fractional.
  • The values of the arguments for degrees of freedom (deg_freedom1 and deg_freedom2) must be greater than 1 and cannot exceed 10 to the power of 10.