State two research questions about self esteem and propose an inferential statistic that could be used to answer each question. Why do you believe these statistics are appropriate for the related questions? Support your view.

One research question about self-esteem is, 'Do those with high self-esteem have a greater sense of well-being than those with low self-esteem?' The independent variable is self-esteem, which, in this case, is categorical (i.e., either high or low). The dependent variable is sense of well-being, which, in this case, is continuous (i.e., on a scale). The data could be analyzed using an independent t-test, which requires a categorical independent variable and continuous dependent variable. A t-test can determine if the average mean of these two groups is statistically significantly different.

Another research question about self-esteem is, 'Does self-esteem (high or low) and gender (man or woman) impact dating frequency?' There are two independent variables. The first is self-esteem, which is categorical. The second is gender, which is also categorical. The dependent variable is dating frequency, which, in this case is continuous. The data could be analyzed using an 2x2 factorial ANOVA. A factorial ANOVA is needed because there are two independent variables (i.e., self-esteem and gender) which are both categorical. Additionally, each independent variable has two levels (i.e., high/ low or man/ woman). Finally, the dependent variable is continuous, which is required for an ANOVA. A 2x2 factorial ANOVA is able to determine:

1. if self-esteem (high or low) has an effect on dating frequency
2. if gender (man or woman) has an effect on dating frequency
3. if self-esteem and gender interact with one another and impact dating frequency.