Quantitative Analysis in Social Science Research

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QUESTION 1 (30 points): Select three different examples that demonstrate an ANOVA test. For two of these examples, you should be able to reject the null hypothesis. For one of these examples, you should fail to reject the null hypothesis. Set up the research questions and hypotheses. Describe the main components of the ANOVA and interpret the findings. Create a new fourth example in which you would use an ANOVA test and explain whether or not you think you’d be able to reject the null hypothesis (and why). This example must not already appear as one of the associations in the tables. Your answer should make specific references to the labels and values of the variables. ANOVA ANOVA also known as Analysis Of Variance, is commonly be used in cases where there are more than two groups. When thee are only two samples, then we can use the t-test to compare the means of the different samples however, it may become unreliable when we have more than two samples. If we are comparing only two means, then the t-test also known as the independent samples will give the same results as the case of ANOVA. A question therefore arise on whether why not to use multiple t-tests. The t-test can only be used to test differences between two means. When there are more than two means, it is possible to compare each mean with each other mean using many t-tests.
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