What does a chi-square value of 1 mean

Adrianna Kalinowska There is no special meaning of the value 1 for the khi-square... As a probability function, continuous, the probability of a random variable following a khi-square law to be exactly 1 is 0. As a distance between two contingency tables, it's not clear why 1 should be given a special consideration.

1. What is an acceptable chi-square value?
2. What is chi-square with 1 degree of freedom?
3. How do you interpret chi-square results?
4. What is a good chi-square result?

What is an acceptable chi-square value?

You can safely use the chi-square test with critical values from the chi-square distribution when no more than 20% of the expected counts are less than 5 and all individual expected counts are 1 or greater. In particular, all four expected counts in a 2 × 2 table should be 5 or greater.

What is chi-square with 1 degree of freedom?

A chi-square variable with one degree of freedom is equal to the square of the standard normal variable. A chi-square with many degrees of freedom is approximately equal to the standard normal variable, as the central limit theorem dictates.

How do you interpret chi-square results?

For a Chi-square test, a p-value that is less than or equal to your significance level indicates there is sufficient evidence to conclude that the observed distribution is not the same as the expected distribution. You can conclude that a relationship exists between the categorical variables.

What is a good chi-square result?

In order for the Chi-square test to be considered trustworthy, each cell of your expected contingency table must have a value of at least five. Each Chi-square test will have one contingency table representing observed counts (see Fig. 1) and one contingency table representing expected counts (see Fig. 2).