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FINV

The FINV function in Google Sheets is a statistical function used to calculate the inverse of the F probability distribution. It is commonly used in hypothesis testing and analysis of variance. By providing the probability and degrees of freedom, the FINV function helps determine the critical value for a given significance level.

Function Syntax and Parameters

Syntax: FINV(probability, degrees_freedom1, degrees_freedom2)

Parameters:

  • probability: The probability at which to evaluate the inverse of the F distribution.
  • degrees_freedom1: The numerator degrees of freedom for the F distribution.
  • degrees_freedom2: The denominator degrees of freedom for the F distribution.

Step-by-Step Tutorial

  1. Using FINV to calculate critical value:

    • Example: =FINV(0.05, 2, 10)
    • Result: 4.25649

  2. Using FINV to determine significance level:

    • Example: If =FINV(0.01, 5, 3) returns 7.70852, it means that the significance level at which the F distribution rejects the null hypothesis is 0.01.

Use Cases and Scenarios

  1. Hypothesis Testing: Determine the critical value to compare sample variances.
  2. Analysis of Variance: Calculate the F statistic for comparing group variances.
  3. Quality Control: Assess the statistical significance of differences between process means.

Related Functions

  • F_DIST: Calculate the F probability distribution.
  • F_TEST: Perform an F-Test to compare two variances.

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