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Sum of squares chi square

Sum of squares chi square
  1. What is the sum of chi-squared?
  2. What does the chi-square test tell you?
  3. What is the chi-square distribution used for?
  4. 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.

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