Abstract
This paper provides answer to the following question. Does the performance of students depend on the location of accommodation and facilities? The Chi square and the likelihood ratio Chi square statistics based on the contingency table are applied to answer the above question. The statistical analysis using the above techniques revealed that students performance depends on the location of the accommodation and the facilities. Result based on the odd ratio indicated that there is no association between accommodation location and facilities.
Highlights
The Pearson Chi square test and the contingency table are inseparable. This is so because the later illustrate the diagrammatic features and the former is based on the decision rule, this implies using the decision rule based on the hypothesis testing
The null hypothesis tested with a Chi-square test using the 2 x 2 contingency table is considered as test of independence [4,8,9,10,11]
Oberve that the Chi square statistics is approximated by the Chi square distribution, this approximation is affected with small expected value
Summary
The Pearson Chi square test and the contingency table are inseparable. This is so because the later illustrate the diagrammatic features and the former is based on the decision rule, this implies using the decision rule based on the hypothesis testing. Contingency table is applied to organize categorical variables and testing hypothesis using the Chi-square test to determine independence. The contingency table is often applied to determine the effectiveness of a system under study or if the effectiveness of the system is based on certain profile variables[1]. The null hypothesis tested with a Chi-square test using the 2 x 2 contingency table is considered as test of independence [4,8,9,10,11]
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