STAT6170: Proportion of Light Reflected from Animal’s Surface Territory - Statistics Assignment Help

Assignment Task:

TASK:

1. In the dataset linked below, some data from a random sample of 267 stoaches have been collected. The variables recorded for each subject are listed below.

Variable Description id Subject ID species Either "Spotted" or "Striped" weight Body weight of the stoach albedo Proportion of light reflected from animal’s surface territory The amount of territory ’controlled’ by the stoach (unknown how this was defined or measured) The data set (whose first 5 records are shown below) has been emailed to' you along with this document. ID species weight albedo territory subj1 Striped 212.4 41.1 26.2 subj2 Striped 223.5 42.9 26.7 subj3 Striped 199.9 26.7 25.3 subj4 Spotted 157.7 38.1 16.9 subj5 Striped 201.9 20.3 25.4 Import the data in Excel and check that they are the same as in the table above. Please note, the data have been simulated and not based on any real data set. The goal of this assignment is to use the methods learnt in the unit (please don’t use other methods) and write a statistical report that addresses the following research questions:

(a) Is there any difference in the average albedo of Spotted and Striped stoaches?

(b) What is the relation between the weight of stoaches and the area occupied?

In the first question you have to check if the distribution of albedo has the same mean for Spotted stoaches and Striped stoaches. In order to do this, you have to check the assumptions, and in particular that the two samples could come from normal distributions with equal variances. In the second question we want to study the relation, if any, between the weight of stoaches and the response variable area occupied. In this case you have to take care of the role of species: can you study Spotted stoaches and Striped stoaches together, or do you have to split the data set and perform two regressions? Checking the assumptions will often, but not always, help you with the latter point. The results of all the possible regressions you can run will definitely answer this question. Finally, your job is to write a statistical report. In addition to the correctness of the analyses, we will also evaluate the presentation: is the report well written, are the numerical and graphical summaries clear, are all the parts exhaustive, is the discussion/conclusion section a logical consequence of the results obtained? There are some resources on iLearn on how to write a statistical report. Please use them and ask questions on the forum if you have any doubts, or just want to comment. Please use R, within an R Markdown document, to perform all of your analysis, and submit both your source file with extension ".Rmd" and the resulting output file with extension ".pdf". The ".Rmd" file must compile to produce the ".pdf" file; if you need help with this, ask well in advance of the due date.

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