- What is the sum of chi-squared?
- What does the chi-square test tell you?
- What is the chi-square distribution used for?
- Why do we use chi-square test of independence?
What is the sum of chi-squared?
The sum of two independent chi square variables, χ2(ν1) + χ2(ν2), has chi square distribution with degrees of freedom of ν1 + ν2.
What does the chi-square test tell you?
The chi-square test is a hypothesis test designed to test for a statistically significant relationship between nominal and ordinal variables organized in a bivariate table. In other words, it tells us whether two variables are independent of one another.
What is the chi-square distribution used for?
It is used to describe the distribution of a sum of squared random variables. It is also used to test the goodness of fit of a distribution of data, whether data series are independent, and for estimating confidences surrounding variance and standard deviation for a random variable from a normal distribution.
Why do we use chi-square test of independence?
The chi-square test of independence is an inferential statistical test, meaning that it allows you to draw conclusions about a population based on a sample. Specifically, it allows you to conclude whether two variables are related in the population.