How to use the CHISQ.INV.RT function
What is the CHISQ.INV.RT function?
The CHISQ.INV.RT function was introduced in Excel 2010 and calculates the inverse of the right-tailed probability of the chi-squared distribution. It has replaced the CHIINV function.
What is a chi-squared distribution?
The chi-squared distribution is a theoretical probability distribution modeling the sum of squared standard normal random variables used in inferential statistics for estimation, confidence intervals, and hypothesis testing.
What is the probability of the chi-squared distribution?
The probability of the chi-squared distribution determines the likelihood that the sum of squared standard normal variables will take on a value less than or equal to a given number, depending on its degrees of freedom parameter.
What is a hypothesize?
In statistics, a hypothesis is an assumption about some aspect of a population parameter or probability model that can be tested using observations and data to determine if there is sufficient evidence in the sample to support the assumed hypothesis.
What is inferential statistics for estimation?
Inferential statistics for estimation involve using a random sample to estimate characteristics and parameters about a larger population using statistical techniques like confidence intervals and point estimation to quantify uncertainty about the estimates.
What is confidence intervals?
A confidence interval provides a range of plausible values for an unknown population parameter centered around a sample estimate, describing the uncertainty around the estimate at a specified level of confidence.
What is the right-tailed probability of the chi-squared distribution?
The right-tailed probability of the chi-squared distribution gives the chance that the sum of squared standard normals exceeds a specified value x, equal to 1 minus the cumulative distribution function evaluated at x.
What is the inverse of a right-tailed probability of the chi-squared distribution?
The inverse of a right-tailed chi-squared probability finds the sum of squares value x that matches a given cumulative probability for the upper tail. This returns the threshold corresponding to the specified proportion of the distribution's upper outcomes.
CHISQ.INV.RT function Syntax
CHISQ.INV.RT(probability,deg_freedom)
CHISQ.INV.RT function Arguments
| probability | Required. A numerical value representing the probability of the chi-squared function distribution. |
| deg_freedom | Required. A numerical value representing the degrees of freedom. |
What are the degrees of freedom?
The degrees of freedom in a chi-squared distribution refers to the number of standard normal random variables being squared and summed, which affects the shape of the distribution and occurs in statistical tests as the sample size minus the number of estimated parameters.
CHISQ.INV.RT function example
Formula in cell C6:
CHISQ.INV.RT function not working
The CHISQ.INV.RT function returns
- #VALUE! error value
- if probability or deg_freedom argument is non-numeric.
- if the iterative search can't find a solution after 64 iterations.
- #NUM! error value if:
- probability < 0 (zero)
- probability > 1 (zero)
- deg_freedom < 1
deg_freedom argument is converted into integers if necessary. CHISQ.DIST.RT and CHISQ.INV.RT are related:
- Â CHISQ.DIST.RT(x, deg_freedom) = probability
- CHISQ.INV.RT(probability,deg_freedom) = x
Functions in 'Statistical' category
The CHISQ.INV.RT function function is one of many functions in the 'Statistical' category.
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