Some questions based on applied math and stats involving pdes

ies examined in class. This paper is not a literature review, though a literature review is part of your work. As this course takes place in a compressed timeline, I provided some suggestions for research topics. Feel free to use one of these as a springboard or propose your own. At the end of the second week of class, students submit a three-page research paper prospectus. A research prospectus is a preliminary plan for conducting a study. This is not a detailed and technical research proposal, but rather, an analysis of the issues likely confronted in such a study. In essence, it is a preliminary proposal of work. Research Paper Prospectus Elements To complete the Research Paper Prospectus, consider the following elements. While the prospectus is limited to three pages of body content, remember, students must cover each of these areas as relevant to the plan for research: Research Problem. What is the research problem? A problem is a situation when left untreated, produces a negative consequence for a group, an institution, or a(n) individual(s). What makes it a problem? For whom? Who says so? Assumptions. On what assumptions is the work based? Which assumptions are verifiable in literature? Which assumptions are speculative? Theoretical Issues. What theoretical issues arise from the study? For example, "theoretically," how is the problem and suspected results explained to other scholars? Is there a behavior view? A social systems view? Are there other theoretical orientations to consider in the study's design? Literature Review. What, in general, does the literature say about the topic? While more development is expected for the final paper, a review of major theories, research, and writers in the field is needed. Research Questions. Based on the problem, what are the research questions to be answered? How and why will answering the questions contribute to solving the research problem? Remember....a research question can only be answered with empirical data or information. General Research Plan. In general, what research is necessary to answer the research question. What kind of data is needed? Specify the type, such as surveys, observations, or interviews. Who is to be studied and why? How is the data reduced and made sense of? How is the quality of the data assured? Anticipated Difficulties and Pitfalls. What kind of difficulties and pitfalls are expected in a study of this nature? What can be done to prevent them or minimize their effects? Anticipated Benefits. Who will benefit from the fact this research is undertaken? How? Why? Who might be disturbed by this proposed study? How? Why? Paper Format Requirements The Research Paper Prospectus is presented in standard APA 7 format, with a cover page, running head, body, and references list. The cover page and references do not count toward the three-page requirement. The body uses headers and in-text citations in the manner prescribed by APA. Students should include any references they know at the time they submit the prospectus, though it is expected the references may change or increase in number. Full and complete adherence to APA is required. APA Basics As APA format is the rule, remember the formatting rules shown on the Sample Paper (Links to an external site.): Times New Roman, 12pt 1" margins on all sides Double spaced, with extra line spaces removed (see below) Page numbers in the upper right Two spaces after concluding punctuation 150-250 word abstract with keywords APA-style in-text citations and quote format. Use the Purdue OWL in-text citation information (Links to an external site.)to help you. Alphabetical (by author) reference page with correct reference format. DO NOT trust the reference generator in your word processing program. It is WRONG! Use the Purdue OWL references information (Links to an external site.)to correctly structure references and do so manually.

d are linked to a higher risk of developing coronary heart diseases. A researcher is investigating two types of interventions (e.g. A, B) to reduce the cholesterol level. Study participants were randomized to receive either intervention A or B. Some subjects dropped from the study due to reasons not related to the interventions. In order to determine which intervention was more effective, the mean cholesterol concentrations were compared between the two groups at the end of the study. The total cholesterol levels for the patients undergoing the intervention A were: 240, 238, 245, 256, 289, 190, 189, 205, 200, 214, 237, 247, 254, 209, 211, 200 mg/dl. The total cholesterol levels for the patients undergoing the intervention B were: 213, 188, 199, 247, 248, 239, 256, 244, 206, 223, 241, 261, 226, and 231 mg/dl. Which intervention was more effective? Consider alpha=0.05. Intervention B was more effective. Intervention A was more effective. Impossible to tell based on the information provided. The two interventions were not statistically significant different.

e variables. The first asks whether, during a 7 year period, respondents domestically sourced dogs *yes/no. The second asks if respondents imported dogs *yes/no within the 7 year period. When I cross tabulate the two variables, there were some respondents who imported and domestically sourced dogs. So I want to make sure I don't over count in Q1 below. Unfortunately, I didn't have one variable that asked if they ever domestically sourced or imported a dog. Q1: Now, I want to see if there is a difference (using logistic regression) in IMPORTING (only) a dog based on whether a respondent lives in an urban or rural household. How best to do this?

hanging and finding the distance based on it. So in a way it all deals with motion along a straight plane.