T test is used to examine the equality of the means between TWO groups or categories. For instance, if the purpose is to test how different are the males from the females who are working in an organization in terms of job satisfaction, T test can be used. In this case, the Gender is the Independent variable (IV) and the Job satisfaction is the dependent variable.
If the IV has more than TWO categories, like the race and the religion for example, the ONE ay ANOVA will be the test to examine the equality of the means across the Race groups. As an example in Malaysia, if the purpose is to examine the differences among Malay, Chinese, and Indians who are working in an organization in terms of job satisfaction, the ANOVA test can be used.
Based on the levels of TWO IVs, if the purpose is to examine how INTERACTION between the TWO IVs can make the differences among the categories, the TWO WAY ANOVA can be applicable. Referring to Job satisfaction example, if one wants to examine whether the levels of job satisfaction across the race groups is affected by the gender variable, TWO WAY ANOVA or Factorial ANOVA can be used
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