How to use the CHISQ.INV function
What is the CHISQ.INV function?
The CHISQ.INV function was introduced in Excel 2010 and calculates the inverse of the left-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 left-tailed probability of the chi-squared distribution?
The left-tailed probability of the chi-squared distribution gives the chance that the sum of squared standard normals is less than or equal to a specified value x, focusing only on the lower portion of outcomes under the density curve.
What is the inverse of a left-tailed probability of the chi-squared distribution?
The inverse of a left-tailed chi-squared probability determines the value x that corresponds to a given cumulative probability for the lower tail, calculating the sum of squares threshold that captures the specified proportion of possible outcomes.
CHISQ.INV function Syntax
CHISQ.INV(probability,deg_freedom)
CHISQ.INV 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 function example
Formula in cell C6:
CHISQ.INV function not working
The CHISQ.INV function returns
- #VALUE! error value if probability or deg_freedom argument is non-numeric.
- #NUM! error value if:
- probability < 0 (zero)
- probability > 1 (zero)
- deg_freedom < 1
deg_freedom argument is converted into integers if necessary.
Functions in 'Statistical' category
The CHISQ.INV function function is one of 74 functions in the 'Statistical' category.
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