Stats II Tutoring
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EDR-8202: Statistics II
Week 8 Assignment Worksheet: Design Statistical Analyses
I. Listed below are various statistical methods
Briefly describe one way you could use each of the models in a research setting.
1. Simple linear regression
2. Multiple regression
3. Logistic regression
4. Factorial analysis of variance
5. Multivariate analysis of variance
6. Chi-square analyses
II. Assume that you are conducting one of the statistical analysis mentioned above, and you must decide between using a one or two tail test. When will be appropriate to use a one tail test? When will it be appropriate to use a two tails test?
Please consider using the highlighted statistical analysis.
III. 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 elucidated this issue. As the statistician, you are investigating the longitudinal effects (1 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.
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).
IV. Assume you are an educational researcher that want to investigate the effects of socioeconomic status (SES), home environment, and school and neighborhood environment on the academic achievement in middle school students. You designed a survey to collect the necessary demographic (SES, home environment, neighborhood environment) data to match it with their standardized test results. Your survey is divided into three parts.
Part 1 includes SES information; parents education, employment status (currently employed yes or no), income level, and receiving free or reduced lunch at school. In part 2, the questions are regarding the environment at home, time spent watching (playing video games) TV at home, having a TV in their rooms, computer available to do assignments at home, Internet access at home, etc. The last section, part 3, includes questions related to the safety of the neighborhood environment: some examples include if the students walk to school, how safe they feel while walking to and from school, do you feel safe at school? Are there a lot of fights at school? etc.
The purpose of collecting these data was to develop a model that can help to predict academic achievement in middle school children using some of these variables.
1. There are many variables collected in these data. Your first task is to discuss some of the considerations that you must make to determine which variables could or should be included in the model. Be sure to discuss the concept of multicollinearity.
2. How could you measure for multicollinearity? How could you address multicollinearity?
3. If the researcher decides to eliminate several of the independent variables in order to reduce the number, how should the researcher determine which variables are more important than others to include in the model?
4. Assume that the end result included 5 variables that were significant predictors of academic achievement. Then, write the estimated regression equation for the model with all 5 variables.