STAT 6225, Final Assignment
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STAT 6225, Final Assignment
The objectives of this assignment are to:
(a) perform a ﬁnal analysis for the dynamic conditional distribution functions of body
mass index (BMI) using the NGHS data;
(b) produce a ﬁnal report summarizing the ﬁndings of the analyses in Assignments 1-3
for the BMACS data.
Computation Part (a):
Reproduce the results of Figure12.1 of page 431 and Figure 12.2 of page 433 in Wu and Tian (2018). Please note that information for downloading the package is in page 31 of Wu and Tian (2018).
Writing Part (b):
Your manuscript should contain the description of the following items:
(1) the objectives of the data and analysis,
(2) the preliminary analysis which may be used to justify your statistical models,
(3) the series of statistical models from simple to more complex ones, e.g., from paramet- ric marginal and mixed-eﬀects models, to nonparametric marginal and mixed-eﬀects models,
(4) the interpretations of the statistical models,
(5) ﬁndings of your applications of these models to the BMACS data (you need to sum- marize your ﬁndings in tables and ﬁgures),
(6) main conclusions of your analysis,
(7) discussion of the pros and cons of the models.
Requirements and structures of your paper:
Basically, I would like to see a clear, well-structured, and well-written paper of approxi- mately 15 pages long (including the references, but excluding the ﬁgures and tables). Similar to a real submission of applied statistical papers to a statistical or epidemiology journal, you need to put your paper in the order of (a) main body of the paper, (b) reference list (15 pages of main body plus references), (c) tables of the results, and (d) ﬁgures. So, in this order, you will have all the tables and ﬁgures at the end of the paper.
For the main body of the paper, the following structure is a good way to follow:
0. Abstract: Less than 300 words long, summarizing the overall ﬁndings of the whole paper.
1. Introduction: 1/2 to one page long, introducing the background, motivation, and objectives of the paper.
2. Data and Objectives: Approximately one page long, describing the BMACS study, the BMACS dataset you actually use, and what you want to conclude with the data.
3. Preliminary Analysis: About 2 pages long, describing the preliminary analysis that you have done in Assignment 1, and the implications of these preliminary analysis results.
4. Statistical Models and Methods: About 3 to 5 pages long, describing the major statistical models that you have used in Assignments 1 to 3, and the corresponding estimation methods.
5. Findings and Interpretations: About 3 to 4 pages long, describing the ﬁndings of your analyses in Assignments 1 to 3, and interpretations of your ﬁndings. These include clinical interpretations of your parameter estimates, conﬁdence intervals, and implications of the curves and ﬁgures.
6. Conclusions of the Analysis: About 1/2 to 1 page long, describing the conclusions of your ﬁndings. This can be a summary of your ﬁndings in the previous section, i.e. the ﬁnal conclusions after taking all the itemized analyses into consideration.
7. Discussion of Advantages and Limitations: About 1/2 to 1 page long, describing the pros and cons of the statistical methodology. You may focus on the limitations of the models and methods, and point out some future methodology research which may provide useful insights into the analysis of longitudinal data.