In: Statistics and Probability
Research is an integral part of all professional fields. Designing a research study can be a complicated task that can be simplified if the appropriate techniques can be identified. This assignment will give you the opportunity to design an experiment, including finding relevant prior research, determining the appropriate sample, data analysis techniques, and discuss the results you hope to see. Working from the topic chosen earlier in the topic selection, you will be designing your own statistical study. In a 1,250-1,500 word report discuss the design of an experiment that would expand on or relate to the research in the previously chosen article. See the attached document for detailed instructions on how to complete the project. A minimum of four additional scholarly resources are required. MAT-274 Final Project Detailed Criteria Background information explaining the importance of the research (why it should be done) and what has been done in the past. This background section can be a large portion of your paper, perhaps around 25% of the entire word count. Here you explain what previous research has been done on your topic and how this inspired your new study/experiment. You are required to reference four scholarly articles in your final paper. Make sure to mention how the study you designed is different from the previous work you read in your primary research articles. You can also include information in this section about why the topic is important to your field of study or relevant to you in general. Sampling and experimental design with rationale. In this section, you should include your sampling technique, how you are achieving appropriate randomization, and why this technique is the most appropriate for your particular experiment. Make sure you address any possible bias in your sampling technique and how you will consider this in your final results. Conclude this section with a discussion of your population for generalization and how the demographics of your sample achieve this goal. Data analysis techniques (specific inferential test that would need to be used and why, include tests that would need to be done to validate the assumptions needed for the chosen inferential test). This section is the heart of your final paper. The final grading of the project will focus most heavily on this content. There are at least three paragraphs worth of material to comment on in this section. It is essential that you clearly articulate which type of inferential test you are using (z, t, pairedt,pooled t,chi-squared, ANOVA+F-test, etc.). In addition to stating the type of test, you must explain why this test is appropriate. Every statistical test has certain conditions that must be satisfied to make the test have reasonable inferential power (see lecture slides on Loud Cloud). You need to verify that these assumptions are satisfied for your experiment/sample and explain what types of information you would collect to show this; mention any calculations, graphs, charts, and plots you would use. It would be very nice to include some information on how you would use Excel to implement these calculations/charts. The hypothesis test needs to be formally stated (null and alternative clearly and correctly given with variable names and inequalities/equalities in the correct spot). Describe whether this is a one-tailed or two-tailed test, your chosen significance level (with justification), and what the p-value would tell you in the context of your problem. If your test requires follow-up analysis (such as ANOVA, paired-t), you need to mention explicitly what type of follow up you will do and how these calculations would be performed. Why do you need the follow up calculations? What does this analysis tell you? Expected results as well as the questions this research will serve to answer This section can consist of a single paragraph and should discuss what exactly you hope to answer by performing your inferential test described in the previous part. State what results you expect to see for your hypothesis test, what do you expect the p-value to be approximately? What does the p-value tell you about your null/alternative? Would reject/fail to reject the null? Explain what your hypothesis test outcome means in language relevant to your chosen topic. Suggestions for future research. Your paper should end with a concluding paragraph that discusses how your experiment might influence future research. Decide on future experiments that might be performed based off your work here and previous research. Outline any sample size/experimental design changes you would recommend to future researchers. How would this future research expand the work already completed?