Question

not hand Writing please

1. Define the following terms:

A. Contingency table

B. Chi-square test

2. List the assumptions required to perform a chi-square test?

Answer 1

1.

(a) Contingency Table is defined as a Table showing the distribution of one variable iin rows and another variable in columns, used to study the association between the two variables.

(b) Chi-square Test is defined as a Hypothesis Test where the Sampling Distribution of the test statistic is a chi - square distribution when the null hypothesis is true.

2. Assumptions required to perform a chi - square test:

(i) Each subject contributes data to only one cell. Hence the sum of all cell frequencies in the Table must be the same as the number of subjects in the experiment.

(ii) Thedata in the cells should be frequencies or counts of cases rather than percentages or some other transformation of the data.

(iii) The sampling method is Simple Random Sampling.

(iv) The variable understudy is categorial.

(v) The Expected value of the number of sample observations in each level of the vaiable is at least 5.