4 a) What is a Chi-square test? Point out its applications. Under what conditions is this test applicable? b) Discuss the types of measurement scales with examples. ( a) Meaning, applications and conditions b) Types of measurement scales with examples )
Answer:- a) Meaning, applications and conditions
The Chi-square test is one of the most commonly used non-parametric tests in statistical work. The Greek Letter c2 is used to denote this test. c2 describe the magnitude of discrepancy between the observed and the expected frequencies.
Applications
1 Tests for independence of attributes
In the test for independence, the null hypothesis is that the row and column variables are independent of each other. We have studied earlier, that the hypothesis testing is done under the assumption that the null hypothesis is true.
- The test for independence has a Chi-Square distribution and is always a right tail test.
- The expected value is computed by taking the row total, multiplying it with the column total and dividing by the grand total. That is given by:
Row T ot al´ Column T ot al
E =
Grand T ot al
- The test statistic value does not change, if the order of the rows or columns is interchanged. Also the value does not change even if the rows and columns are interchanged.
