How to Use the CHIINV Function in Excel

Today, we are going to explore the CHIINV function, a highly practical statistical tool in Microsoft Excel and Google Sheets.

Overview

The CHIINV function calculates the inverse of the chi-squared distribution, a continuous probability distribution that is essential for statistical hypothesis testing and identifying critical values. The function requires two parameters: the probability and the degrees of freedom.

Syntax

The formula for the CHIINV function is as follows:

CHIINV(probability, degrees_freedom)

Parameters

  • probability (required): The probability at which the inverse chi-squared distribution is computed.
  • degrees_freedom (required): The number of degrees of freedom associated with the distribution.

Examples

Here are some practical examples to illustrate how to use the CHIINV function.

Example 1

Determine the critical value for a chi-squared test with a probability of 0.05 and 10 degrees of freedom.

Formula Result
=CHIINV(0.05, 10) 18.307

In this instance, the critical value for our test setup is 18.307.

Example 2

Calculate the inverse of the chi-squared distribution with a probability of 0.10 and 5 degrees of freedom.

Formula Result
=CHIINV(0.10, 5) 9.236

The result here is 9.236, representing the inverse for the specified parameters.

Conclusion

The CHIINV function serves as an invaluable resource for conducting statistical analysis with chi-squared distributions in both Excel and Google Sheets. Mastery of its syntax and practical applications can greatly enhance your data-driven decisions.

More information: https://support.microsoft.com/en-us/office/chiinv-function-cfbea3f6-6e4f-40c9-a87f-20472e0512af

Other functions
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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 test for independence
Returns the confidence interval for a population mean
Returns covariance, the average of the products of paired deviations
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Returns the result of an F-test
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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
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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
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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
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Returns the one-tailed probability-value of a z-test