Simple linear regression

Listed below are various statistical analyses from EDR-8201 and EDR-8202. Briefly describe one way you could use each of the analyses in a research setting. ● Simple linear regression ● Multiple regression ● Factorial analysis of variance ● Multivariate analysis of variance ● Factor analysis Assume that you are conducting one of the statistical analyses mentioned above, and you must decide between using a one- or two-tailed test. When will be appropriate to use a one-tailed test? When will be appropriate to use a two-tailed test? Part 2: With the current flourishing use of technology in education, a school district wants to conduct a study to determine which high-tech, student-centered instructional method would be more successful in preparing students to take standardized tests in the district. You are hired as a statistician for the district to help them elucidate this issue. As the statistician, you are investigating the longitudinal effects (one academic year) of different high-tech, student-centered instructional methods on the results of standardized mathematical tests. You have four groups; each one will be using a different high-tech, student-centered instructional method approach (inquiry-based learning, expeditionary learning, personalized learning, and game-based learning). Describe the data analysis plan for this project, and be sure to address the following in your response: 1. Define your independent and dependent variables and your design 2. What is your research hypothesis (hypotheses) and the corresponding null hypothesis (hypotheses)? 3. Which statistical methods or tests do you plan to use to describe your data and test your hypothesis? Briefly explain the purpose for including each of the methods or tests in your analysis. 4. What are the assumptions for the statistical test of your hypotheses? How will you determine if those assumptions are reasonable for your data? 5. What descriptive or follow-up (post hoc) tests do you anticipate may be needed? 6. Assume that your data analysis supports your primary research hypothesis. Write one or two paragraphs that describe the results of the statistical tests of the hypotheses (i.e., just the results related to the anticipated main finding).