What are your suggestions on performing a qui-square test? Mention

Meghan Delacruz

Meghan Delacruz

Answered question

2022-04-18

What are your suggestions on performing a qui-square test? Mention when you have to perform qui- square Goodness of fit test. Also mention when you have to perform a qui-square Independence Test. Mention the conditions that must be met in order to perform both tests.

Answer & Explanation

firenzesunzc65

firenzesunzc65

Beginner2022-04-19Added 16 answers

A chi-squared test is a statistical hypothesis test used to determine whether there is a statistically significant difference between the expected frequencies and the observed frequencies in one or more categories of a contingency table.
It is also written as χ2 - test.
There are two types of chi-square tests. Both use the chi-square statistic and distribution for different purposes :
1. A chi-square goodness of fit test determines if a sample data matches a population.
2. A chi-square test for independence compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another.
Goodness-of-Fit test for a One-Way Table:
a. Here, consider chi squared goodness of fit test if there is one population and one categorical variable.
b. It expands the z-test for a population proportion.
c. This test determines whether a set of categorical data comes from a claimed distribution or not . The null hypothesis is that the proportion in each category in the population has a specific distribution. The alternative hypothesis says that the proportions in the population are not distributed as stated in the null hypothesis.
d. To test our hypotheses, select a random sample from the population and gather data for one categorical variable.
Test of Independence for a Two-Way Table
a. Here, consider chi squared test of independence if there is one population and two categorical variables.
b. With the chi-square test of independence, there is a method for deciding whether our observed P(A|B) is “too far” from our observed P(A) to infer independence in the population.
c. The null hypothesis says the two variables are associated to each other. The alternative hypothesis says the two variables are does not associate to each other.
d. To test our hypotheses,select a single random sample and gather data for two different categorical variables

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