# What is Chi-Square test explain with example?

## What is Chi-Square test explain with example?

A chi-square test is a statistical test used to compare observed results with expected results. The purpose of this test is to determine if a difference between observed data and expected data is due to chance, or if it is due to a relationship between the variables you are studying.

How do you calculate chi-square in SPSS?

Quick Steps

1. Click on Analyze -> Descriptive Statistics -> Crosstabs.
2. Drag and drop (at least) one variable into the Row(s) box, and (at least) one into the Column(s) box.
3. Click on Statistics, and select Chi-square.
4. Press Continue, and then OK to do the chi square test.
5. The result will appear in the SPSS output viewer.

### Is p-value and z score the same?

The P-Value is calculated by converting your statistic (such as mean / average) into a Z-Score. Using that z-score, look up that value in a standard normal table. If that value is above your desired confidence level, you can reject your null hypothesis and accept your alternative hypothesis.

What is statistically significant chi-square?

Among statisticians a chi square of . 05 is a conventionally accepted threshold of statistical significance; values of less than . 05 are commonly referred to as “statistically significant.” In practical terms, a chi square of less than .

#### When should a chi-square test be used?

How do you calculate chi square test?

“x 2 ” is the chi-square statistic

• “O i ” is the observed frequency
• “E i ” is the expected frequency
• “i” is the “i th ” position in the contingency table
• “k” is the category
• Degrees of freedom (df)=k-1
• ## How to calculate chi square test?

The Satorra-Bentler scaled chi-square difference test. In order to calculate the Satorra-Bentler scaled chi-square difference test,we will need a number of pieces of information.

• Example. Below are two Mplus input files.
• A test using the log-likelihood. For the MLR estimator there is an additional test for nested models.
• Example.
• What are the assumptions of chi square test?

– The sample has been drawn randomly from the selected population; – The sample size, n, must be sufficiently large; – The observations are independent.

### What is the equation for chi square test?

H1: There is a link between gender and political party preference.

• Calculate the Expected Values Now you will calculate the expected frequency.
• Calculate (O-E)2/E for Each Cell in the Table Now you will calculate the (O – E)2/E for each cell in the table.
• Calculate the Test Statistic X2