1) In using chi-square for testing the independence of variables, larger calculated values for chi-s

facalqc4

facalqc4

Answered question

2022-03-01

1) In using chi-square for testing the independence of variables, larger calculated values for chi-square will tend to make it more likely that the null hypothesis will be rejected.
True or False?
a) A contingency table for two nominal variables has three (3) row and four (4) columns. The number of degrees of freedom associated with the chi-square test of variable independence will be df= 6.
True or False?
b) In carrying out chi-square analysis, if one or more of the observed frequencies is less than five (5), rows or columns should be combined so that each value of observed frequency is at least 5.
True or False?

Answer & Explanation

Clay Giles

Clay Giles

Beginner2022-03-02Added 4 answers

1) Chi-square test for independence is right tail test. So the larger the value of test statistics smaller will be the greater than area thus it is more likely the null hypothesis will be rejected .
Thus the given statement is True
a)The degree of freedom having r rows and m columns will be:
df=(r-1) (m-1)
Here r = 3 and m = 4
df=(3-1)(4-1)
=(2)(3)
=6
Thus, given statement is True
Maximilian Searle

Maximilian Searle

Beginner2022-03-03Added 5 answers

b)Chi-square test assume that expected frequency of each cell should be at least 5 and in case if it is not it is club to next bigger cell or Fisher exact test is used .
Thus, the given statement is True

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