CHISQ.INV

The CHISQ.INV function calculates the inverse of the chi-squared cumulative distribution function (CDF). It is useful in statistical analysis for finding the value at which the chi-squared distribution has a specified probability.

Syntax

=CHISQ.INV(probability, degrees_freedom)

probability The probability at which to evaluate the chi-squared distribution ranging from 0 to 1.
degrees_freedom The number of degrees of freedom for the chi-squared distribution.
[method] An optional argument to specify the method to use in the calculation. Defaults to 1 if omitted.

About CHISQ.INV

When delving into statistical analysis, particularly in the realm of chi-squared distributions, the CHISQ.INV function in Excel becomes a valuable asset. It serves as a tool to determine the inverse of the chi-squared cumulative distribution function, providing a pivotal value for specific probabilities associated with chi-squared distribution scenarios. This is particularly beneficial in hypothesis testing, goodness-of-fit tests, and confidence interval estimation in various fields such as science, engineering, and social sciences.

Examples

Suppose you have a chi-squared distribution with 5 degrees of freedom and you want to find the value at which the probability of observing a chi-squared value lower than 0.05. The CHISQ.INV formula would be:=CHISQ.INV(0.05, 5)This will return the chi-squared value at the specified probability and degrees of freedom.

Consider a hypothesis testing scenario with a chi-squared distribution having 10 degrees of freedom. You aim to determine the value at which the probability of obtaining a chi-squared value less than 0.01. The CHISQ.INV formula would be:=CHISQ.INV(0.01, 10)This will yield the chi-squared value for the given probability and degrees of freedom, aiding in the assessment of statistical significance.

Questions

What does the degrees of freedom parameter represent in the CHISQ.INV function?

The degrees of freedom parameter in the CHISQ.INV function refers to the number of degrees of freedom for the chi-squared distribution. It signifies the number of independent observations used to estimate a statistical parameter in the context of hypothesis testing and statistical inference.

Can the CHISQ.INV function handle probabilities outside the range of 0 to 1?

No, the CHISQ.INV function expects probabilities within the range of 0 to 1. Any probability value outside this range will not be valid for the calculation using the CHISQ.INV function.

How does the optional method parameter in CHISQ.INV function affect the calculation?

The optional method parameter in the CHISQ.INV function allows you to specify the method to use in the calculation. The default method is 1, but you can choose to use a different method by providing the appropriate numeric code as the method argument. However, for most cases, the default method suffices for the calculation of the inverse of the chi-squared cumulative distribution function.

Related functions

CHISQ.DIST CHISQ.DIST.RT CHISQ.INV.RT