MAST10010: Data Analysis 1 Assignment 1
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MAST10010: Data Analysis 1
Assignment 1
Instructions
Software:
You must use Minitab to produce any graphs, tables and descriptive statistics.
Graphs:
● must include your name/student number, which can be added by Editing the graph, right-clicking and selecting Add 二 Footnote or Add 二 Subtitle.
● must be relevant. You may look at many graphs, but you should only include the most relevant graph for each question.
● should be clear: ensure that labels and titles are correct and appropriate; you can add gridlines/change symbols/colour as appropriate to make the graph clearer. There are some marks awarded for improving upon the default from Minitab.
● Mac Users: you will need to use myUniApps in order to edit the graphs as required above .
Statistics:
Must be relevant: you will be penalised for including statistics which are not relevant to the questions asked.
Comments:
● must be in the context of the data.
● should be supported by relevant statistics where possible.
● should be concise and informative. Word limits, where given, must be strictly ad- hered to (all word limits are a maximum, you will be penalised for going over this limit!). You may use dot-points.
Question 1: Study Design [0 + 2 + (2+2+2) = 8 marks]
In the week 2 Tute/Lab class you designed studies to investigate research questions. For this question you may used ideas from the class discussion, but must write and submit your own work. While it is recommended to use the same question you discussed in the tutorial, you may also choose another question that was not discussed in your class.
You are allowed to simplify or adjust the question to make it more practical, and may also make reasonable assumptions about what is possible/feasible (you should clearly state these assumptions). For example, in a study to determine “How many sheep do you need to count before falling asleep?”: it is reasonable to assume that people would be able to remember (approximately) the number they got to before falling asleep; it is not reasonable
to assume that you can measure their brainwaves to determine this number. Select ONE of the following 13 research questions:
1 Monitoring the effect upon river health of an outbreak of an algal bloom.
2 Determining the effect upon AFL anterior-cruciate ligament longitude of a new boot design.
3 Is chiropractic manual therapy an effective treatment for infant colic (unexplained persistent crying)?
4 Is a new chemotherapy drug effective in treating cancer?
5 Is yoga an effective treatment for back pain?
6 Does organically grown food contain more nutrients than non-organic food?
7 Is starch consumption good for the obese?
8 Can a diet high in heart-healthy foods and antioxidants reduce the risk of developing Alzheimer’s disease?
9 Is the population of minke whales in Antarctica decreasing significantly?
10 Mobile phone usage and brain function - should we be worried?
11 Does playing action video games improve your surgery skills?
12 Do genetically modified soybeans have different (better) nutrient value than standard varieties?
13 Cows at Melbourne University’s robotic dairy (Dookie) can decide when they are milked. Are they Australia’s happiest dairy cows?
For your selected research question:
(a) Clearly state the research question you are investigating (this should be the simpli-
fied/clarified question, if you have altered it).
(b) What are the Response Variable and primary Explanatory Variable? Clearly
state the specific data type (eg “discrete numerical”, “nominal categorical”,. . . ) of each.
(c) For each of the following aspects of experimental design, explain how you would implement them for your study, or why it is not possible/desirable to do so. You will be assessed on both the content and the clarity of your explanations.
i. Comparison
ii. Control
iii. Blocking
The Sudoku Data
For questions 2, 3 and 4 you will need to access the data file Asst1 2022 sudoku (file can be downloaded from the LMS as either a .csv or .MTW file).
This file contains some of the data collected in the Sudoku Activity conducted in the Tute/Lab sessions in week 2 of this semester. The purpose of the study was to investigate factors that may affect time to complete a Sudoku puzzle. In this assignment we will con- cern ourselves with a subset of this data, those who successfully completed their assigned Sudoku puzzle.
The Variables:
Column |
Name |
|
C1 |
Type of Puzzle |
Puzzle1: Greek alphabet letters (a, 8, 6, 入, e, A) Puzzle2: English lower case letters (a, b, c, d, e, f) Puzzle3: Numbers (1, 2, 3, 4, 5, 6) Puzzle4: Symbols (■, ✱, ✟ , △ , · , ×) |
C2 C3 |
Minutes Seconds |
Time to completion: Minutes: Seconds: (recorded in separate columns, C2 and C3) |
C4 |
Have you played Sudoku before? |
Yes / No |
The Puzzles:
Data cleaning exercise: To begin this assignment you will first need to ensure that columns C2 and C3 contains only sensible numbers. For example, the sixth row has “6.03” for ‘Minutes’ and “363” for ‘Seconds’ . Because 6 minutes and 3 seconds could be written as both “6:03” and “363 seconds” it is obvious that these should be changed to “6” and “3”, respectively. You will also need to fix any other unusual values and/or values which include text as part of the answer (remove the unnecessary text). Rows 21 to 182 have already been cleaned for you. You may need to do the data cleaning in Excel
before loading the data into Minitab. You will know you have done this correctly if you have the following summary statistics:
You will also need to create a new variable Time (seconds) to complete the puzzle.
Question 2: Exploring time taken to complete a Sudoku puzzle
[2 + 4 + 2 + 1 = 9 marks]
(a) Produce a dotplot and relevant summary statistics for Time (seconds), time to suc-
cessfully complete a Sudoku puzzle.
(b) Describe the distribution of Time (seconds).
(c) Comment on whether the higher times (over 400 seconds) have anything in common. Restrict your comments to no more than two sentences.
[Hint: use the brush command.]
(d) Explain how to calculate the mean of ‘Time (seconds)’ using the information given from the data cleaning exercise above.
Question 3: Investigating the effect of Type of Puzzle
[3 + 5 = 8 marks]
(a) Produce a comparative boxplot and summary statistics, comparing the time taken
for the four (4) different puzzle types.
(b) Comment on the effect of Type of Puzzle on time to successfully complete a Sudoku
puzzle.
Your comments must be less than 150 words.
Question 4: Investigating the effect of other variables
[3 + 2 = 5 marks]
(a) Produce a table comparing previous experience with Sudoku puzzles and Puzzle
number. Include a short comment describing any association apparent from the table. Do you think the randomisation was adequate?
(b) Consider Hours of sleep the night before and Time (seconds). Produce an appropriate
graph, and comment on whether there is a relationship between these variables.
Question 5: Good statistical graphics [2 + 3 = 5 marks]
Consider the following graph (inspired by one on Mathematical Mathematics Memes face- book page):
Data Source:
https://www.climatechangeauthority.gov.au/comparing-countries-emissions-targets Note: where there was a range, this has been replaced with a midpoint; additionally the Australian target has been updated to reflect recent legislation.
(a) Identify two strengths of this graph.
Here is an alternative graph of the same data:
(b) Identify three things on this graph which could be improved.
You are not required to produce a graph for this question, however you can examine the data in the file carbon targets.MTW (on the LMS) to help with your critique.
Relevance, Formatting & Submission
You can gain an additional 2 marks by:
[2 marks]
● only including relevant material;
● submitting a clearly legible assignment (eg all pages correct orientation);
● selecting correct page(s) for each part of each question (when you upload your as- signment to Gradescope, it will ask you to select pages: you can select multiple pages for a question part, you can also select the same page for multiple parts).
2022-08-27