CHITEST

The `CHITEST` function returns the test for independence. It tests the hypothesis that the categorical data in the observed range came from a distribution with the specified expected probabilities. This function is commonly used in statistical analysis to determine if two categorical variables are independent or not.

Usage

Use the `CHITEST` formula with the syntax shown below, it has 2 required parameters:

Parameters:
1. observed_range (required):
The range of observed frequencies to test for independence.
2. expected_range (required):
The range of expected frequencies to test for independence.

Examples

Here are a few example use cases that explain how to use the `CHITEST` formula in Google Sheets.

Testing independence of two categorical variables

The `CHITEST` function can be used to determine if two categorical variables are independent or not. For example, you can use this function to test if there is a relationship between gender and voting behavior in an election.

Checking goodness of fit

The `CHITEST` function can also be used to test goodness of fit. For example, you can use this function to test if a set of observed values fits a given distribution.

Comparing observed and expected values

The `CHITEST` function can be used to compare observed and expected values. For example, you can use this function to test if the observed values in an experiment match the expected values.

Common Mistakes

`CHITEST` not working? Here are some common mistakes people make when using the `CHITEST` Google Sheets Formula:

Incorrect range size

One common mistake is providing observed_range and expected_range with different sizes. Make sure both ranges have the same number of cells.

Incorrect range reference

Another common mistake is providing incorrect range references, resulting in incorrect calculations. Double-check that the ranges provided are correct.

Empty cells in range

If there are empty cells in the observed_range or expected_range, the CHITEST formula will return an error. Make sure there are no empty cells in the ranges.

Incorrect order of ranges

Make sure you are providing the ranges in the correct order. The observed_range should come before the expected_range.

Invalid input

If the input provided is not numerical, the CHITEST formula will return an error. Make sure the input is valid and in the correct format.

The following functions are similar to `CHITEST` or are often used with it in a formula:

• `CHISQ.DIST`

The `CHISQ.DIST` function calculates the probability density function or the cumulative distribution function of a chi-squared distribution. This function is commonly used in hypothesis testing to determine the significance of the difference between expected and observed values. The output of this function can be used to make decisions about the null hypothesis.

• `CHISQ.DIST.RT`

The `CHISQ.DIST.RT` function returns the right-tailed probability of the chi-squared distribution. This function is commonly used in hypothesis testing and to calculate confidence intervals for the variance of a normal distribution. The chi-squared distribution is often used in goodness-of-fit tests and tests of independence in contingency tables.

• `CHISQ.INV`

The CHISQ.INV function returns the inverse of the right-tailed probability of the chi-squared distribution. It is commonly used in hypothesis testing where the null hypothesis is that the observed data follows a chi-squared distribution. The function returns the value of the chi-squared random variable at which the cumulative distribution function equals the given probability. This function is useful for finding critical values after performing a chi-squared test.

• `CHISQ.INV.RT`

The `CHISQ.INV.RT` function returns the inverse of the right-tailed probability of the chi-squared distribution. It is commonly used in hypothesis testing and goodness-of-fit analysis to determine whether an observed set of data is significantly different from a theoretical distribution. The function takes two arguments: the probability and the degrees of freedom.

You can learn more about the `CHITEST` Google Sheets function on Google Support.