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MATU9D2: Practical Statistics
PROJECT 2
Report
• Write a report to include answers to both questions. Your report needs to be typed using a text editor
(such as Word) with the relevant Minitab output and plots copied and pasted into the document.
• The report should be no more than 20 pages long.
• Marking of the project is performed anonymously. Do not include your name either within the report
or in the filename of the report. To identify your submission, include your student number at the
start of your report, and in the filename of your report.
• Convert the document into a pdf file prior to submission.
• The grade for this project counts towards 20% of the final grade for the module.
Each answer should include:
1.
Description of the sample data including the study variables, design and study units.
2.
Details of the research question.
3.
The choice of the hypothesis test with justification.
4.
Exploratory data analysis including:
- appropriate summary statistics from Minitab.
- appropriate plots from Minitab with interpretation.
- any comments regarding trends in the data to support the research question.
4.
The null and alternative hypotheses of the hypothesis test.
5.
Details of the formal statistical analysis including:
- information on the test statistic and the underlying distribution.
- relevant Minitab output for the test.
- the test statistics, p-value and/or confidence intervals with appropriate
interpretation.
6.
Test decision and conclusion.
7.
Assumptions of the hypothesis test including:
- details of the assumptions.
- relevant Minitab outputs with interpretation.
- conclusion.
8.
Summary of results and further comments if any.
Statistical analysis
All statistical analysis must be conducted in Minitab.
Submission
1. Late Submission Regulation 6.2.8.2: At undergraduate level, coursework will be accepted up to seven
calendar days after the submission date (or expiry of any agreed extension) but the mark will be
lowered by three marks per day. After seven calendar days, the piece of work will be deemed a non
submission and will be given 0 (Saturday and Sunday count as two calendar days)
Work which is submitted for assessment must be a student’s own work. All students should note that
the University has a formal policy on plagiarism which can be found by following this link.Q1 (25 marks)
Oxygen consumption rates of two species of limpets, Acmaea scabra and Acmaea digitalis, at 3
concentrations of seawater was measured (μlO2/mg dry body weight/min at 22ºC). 8 replicates per
combination of species and seawater concentrations were considered and the results were as
follows:
At 5% level of significance, test for interaction and main effects of species and seawater
concentrations on oxygen consumption rates. Conduct the appropriate test and report all the
relevant analysis to investigate the research question.
[Question 2 overleaf…]Q2 (25 marks)
The following data were collected during a study involving patients with cystic fibrosis. The
variable of interest is PEmax (maximum expiratory pressure) which is a good measure of
malnutrition. The explanatory variables measured are age, gender, height, weight, BMP, FEV1, FRC,
RV and TLC. Several of these variables relate to lung function or body size.
The aim of the study is to identify from the possible explanatory variables a model which
predicts PEmax well and also to assess how well the 'best model' predicts PEmax.
The dataset is saved in the file PEmax.csv and can be downloaded from VLE. The dataset contains
11 columns (including subject number which should not be used in analysis) and 52 rows. You will
need to download the data file from VLE save it onto your drive and then open/copy the data in
Minitab.
Fit a multiple regression model to the whole data to identify the explanatory variables that are
associated with PEmax, investigate the potential issues of the full regression model then perform a
model selection to identify the best model and report the results.