RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

CHI SQUARE

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Which test would you use to see if shoe brand preferences changed between last year and this year? 1000 people were observed this year and last year to see what brand of shoe they were wearing.
A
Chi-square Goodness of Fit Test
B
Chi-Square Test for Homogeneity
C
Chi-Square Test for Independence/Association
D
Not a Chi-square test
Explanation: 

Detailed explanation-1: -This test determines if two or more populations (or subgroups of a population) have the same distribution of a single categorical variable. The test of homogeneity expands the test for a difference in two population proportions, which is the two-proportion Z-test we learned in Inference for Two Proportions.

Detailed explanation-2: -The chi-square test of homogeneity tests whether the different groups are homogeneous, which means that they have the same distribution of the categorical variable. In contrast, the chi-square test of independence checks whether the two categorical variables are independent.

Detailed explanation-3: -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.

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