This week you have explored three different approaches to t tests. By this point, you know that each test has assumptions about the data and type of research questions it can answer. For this Assignment, you will be provided with three scenarios. As you read the scenarios, be sure and think about aligning the appropriate t test with the question. Consider whether the data are independent samples and if two samples are being compared.
To prepare for this Assignment:
- Review the Learning Resources and the media programs related to t tests.
- For additional support, review the Skill Builder: Research Design and Statistical Design and the Skill Builder: Hypothesis Testing for Independent Samples t-test, which you can find by navigating back to your Blackboard Course Home Page. From there, locate the Skill Builder link in the left navigation pane.
- Also, review the t test scenarios found in this week’s Learning Resources and consider the three different approaches of t tests:
- Independent sample t test
- Paired sample t test
- One sample t test
- Based on each of the three research scenarios provided, open the High School Longitudinal Study dataset or the Afrobarometer dataset from this week’s Learning Resources using SPSS software, then choose and run the appropriate t test.
- Once you perform your t test analyses, review Chapter 11 of the Wagner text to understand how to copy and paste your output into your Word document.
For this Assignment:
Write a 2 to 3-paragraph analysis of your t test results for each research scenario and include the SPSS syntax and output. If you are using the Afrobarometer Dataset, report the mean of Q1 (Age). If you are using the HS Long Survey Dataset, report the mean of X1SES. Do not forget to evaluate if the t test assumptions are met, justify the selection of type of t test, and report the effect size. Based on your results, provide an explanation of what the implications of social change might be.
Use proper APA format, citations, and referencing for your analysis, research questions, and output.
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Scenarios 1. As an international development researcher, you would like to know African Citizen’s
perceptions about current levels of democracy. Your working hypothesis is that a series of reforms have increased African views of the level of democracy today. You do not have a good research design to compare attitudes before and after the reforms, but know that leaders and development experts would like to see a value of 6, on the scale of 1–10. Using the data from the 2015 Afrobarometer, determine whether perceptions about current levels of democracy statistically differ from a value of 6. Please provide: a 1–2 APA style paragraph statement that furnishes an answer to this question, note the relevant statistics, comment on meaningfulness and include your relevant SPSS output.
2. As an international development researcher, you have already tested whether perceptions about the current levels of democracy differ from a value of 6. Given recent social change movements in North Africa, you now want to determine whether there is a statistical difference in these perceptions between North Africa and Southern Africa. Using the data from the 2015 Afrobarometer, please provide: a 1–2 APA style paragraph statement that furnishes an answer to this question, note the relevant statistics, comment on meaningfulness, and include your relevant SPSS output.
3. As an educational researcher, would like to know whether high school student’s perceptions about mathematical utility changed between their freshman and senior year. Each respondent is asked the same series of questions about the utility of mathematics in their future during their freshman and senior year. These questions are combined to form one variable of mathematical utility; higher values indicate higher levels of mathematical utility. Using the High School Longitudinal Survey, please provide: a 1–2 APA style paragraph statement that furnishes an answer to this question, note the relevant statistics, comment on meaningfulness, and include your relevant SPSS output.
Research Design Alignment Table | Using an alignment table can assist with ensuring the alignment of your research design.
|Research Problem, Purpose, and FrameworkProvide one sentence for each. These must align with all rows.||Research Question(s), Method, & DesignList one or more RQs, as needed; select method; identify design. Use a separate form for additional RQs.||Data Collection Tools & Data SourcesList the instrument(s) and people, artifacts, or records that will provide the data for each RQ.||Data PointsList the variables, specific interview questions, scales, etc. that will be used for each RQ.||Data AnalysisBriefly describe the statistical or qualitative analysis that will address each RQ.|
|Problem: Purpose: Framework:||RQ1: Design:|
Note. The information in the first column must align with all rows, and each individual RQ row must show alignment across the columns for that row.
Once your Research Design Alignment Table is completed, reflect on your design alignment. Ask yourself:
1. Is there a logical progression from the research problem to the purpose of the study?
2. Does the identified framework ground the investigation into the stated problem?
3. Do the problem, purpose, and framework in the left-hand column align with the RQ(s) (all rows)?
4. Does each RQ address the problem and align with the purpose of the study?
5. Does the information across each individual row match/align with the RQ listed for that row?
· By row, will the variables listed address the RQ?
· By row, will the analysis address the RQ?
· By row, can the analysis be completed with the data points that will be collected?