How to Use the FTEST Function in Excel

FTEST function in Excel and Google Sheets

Introduction

The FTEST function is designed to perform an F-test, providing the one-tailed probability that the variances in two data sets are not significantly different. This function is valuable in Excel and Google Sheets for conducting statistical analysis concerning the comparison of variances.

Syntax

The syntax for the FTEST function is:

FTEST(array1, array2)
  • array1: The first set of data.
  • array2: The second set of data.

Example 1: Understanding FTEST

Consider an example where two data sets are analyzed to assess if their variances significantly differ. The FTEST function in Excel and Google Sheets can calculate the probability that the observed F-ratio is as extreme as or more extreme than the calculated F-ratio based on these data sets.

Data Set A Data Set B
45 52
48 50
43 55
50 48
47 53

To use the FTEST function:

=FTEST(A2:A6, B2:B6)

This formula calculates the one-tailed probability from the F-test for the two data arrays.

Example 2: Real-World Application

Suppose you are analyzing the output from two different machines that manufacture similar products. To verify whether there is a significant difference in the variances of the dimensions of the products from these machines, the FTEST function can be implemented. Such statistical analysis helps determine whether adjustments are needed in the manufacturing process to maintain consistent product quality.

Using the results from the FTEST function, you can make informed decisions regarding process improvements and quality control.

More information: https://support.microsoft.com/en-us/office/ftest-function-4c9e1202-53fe-428c-a737-976f6fc3f9fd

Other functions
Returns the beta cumulative distribution function
Returns the inverse of the cumulative distribution function for a specified beta distribution
Returns the individual term binomial distribution probability
Returns the one-tailed probability of the chi-squared distribution
Returns the inverse of the one-tailed probability of the chi-squared distribution
Returns the test for independence
Returns the confidence interval for a population mean
Returns covariance, the average of the products of paired deviations
Returns the smallest value for which the cumulative binomial distribution is less than or equal to a criterion value
Returns the exponential distribution
Returns the F probability distribution
Rounds a number down, toward zero
Returns the gamma distribution
Returns the inverse of the gamma cumulative distribution
Returns the hypergeometric distribution
Returns the inverse of the lognormal cumulative distribution
Returns the cumulative lognormal distribution
Returns the most common value in a data set
Returns the negative binomial distribution
Returns the inverse of the normal cumulative distribution
Returns the normal cumulative distribution
Returns the standard normal cumulative distribution
Returns the inverse of the standard normal cumulative distribution
Returns the k-th percentile of values in a range
Returns the percentage rank of a value in a data set
Returns the Poisson distribution
Returns the quartile of a data set
Returns the rank of a number in a list of numbers
Estimates standard deviation based on a sample
Calculates standard deviation based on the entire population
Returns the Student's t-distribution
Returns the inverse of the Student's t-distribution
Returns the probability associated with a Student's t-test
Estimates variance based on a sample
Calculates variance based on the entire population
Calculates variance based on the entire population, including numbers, text, and logical values
Returns the one-tailed probability-value of a z-test