Which assumption can be violated when conducting a

Max Grant

Max Grant

Answered question

2022-03-15

Which assumption can be violated when conducting a chi-square test of independence, yet still allow the chi-square value to be calculated?
a. expected frequencies
b. homogeneity of variances
c. random samples
d. independence of observations

Answer & Explanation

Uriah Hale

Uriah Hale

Beginner2022-03-16Added 3 answers

Chi-square test of independence: A single simple random sampling is done with each individual being classified based on the two categorical variables. Then, the hypothesis testing is carried out to check whether there is any relationship between the two categorical variables. This test is called chi-square test of independence.
Chi-square test of homogeneity: Independent simple random samples are taken from two or more populations, where every individual is being classified based on one categorical variable. Here, the hypothesis testing is done to check whether any homogeneity exists. This test is called as the chi-square test of homogeneity.
Expected frequencies:
Expected frequency is 5 or more. This assumption is most likely to be met if the sample size equals at least the number of cells multiplied by 5.
Random sample:
chi square test can be used even if sample is not randomly drawn from the population, but the results can not be applied to whole population.
Chi square test can be used even if sample are not randomly selected from population assumption is violated.
Thus, correct option is c. random sample.

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