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日期:2022-09-21 11:18

MAST10010: Data Analysis 1

Assignment 2

Due Date: Friday September 23rd, 11.59pm.

Your assignment must be submitted to Gradescope by 11.59pm Friday

23rd September.

Assignments submitted late will incur a penalty of 5% per hour (or

part thereof).

If you need an extension then you must apply through the link on the

LMS.

Tutors may not help you directly with assignment questions. They

may, however, provide some appropriate guidance.

Please ask on the discussion board if you need clarification on the

wording of questions. Do not include partial answers on the discussion

board.

It is recommended to produce a single Word document which includes

all the relevant graphs, statistics and comments. You will then need

to Export as a PDF to upload to Gradescope. If you need to include

formulas or calculations, you may include photos of handwritten notes

(or use equation editor, or any other method).

This assignment consists of three (3) questions worth a

total of 35 marks. It contributes 5% towards your final

grade.

1

Instructions

Software:

You must use Minitab to produce any graphs, tables and descriptive statis-

tics.

Graphs:

must include your name/student number, which can be added by Edit-

ing the graph, right-clicking and selecting Add → Footnote or Add →

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 appro-

priate; 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 adhered to (all word limits are a maximum, you will be

penalised for going over this limit!). You may use dot-points.

2

Question 1: Is there a difference in immune response between

two delivery methods for monkeypox vaccine?

[1 + 2 + 4 + 3 + 4 + 1 = 15 marks]

This question is based on simulated data for the study by Sharon E. Frey et

al. (2015) ‘Comparison of lyophilized versus liquid modified vaccinia Ankara

(MVA) formulations and subcutaneous versus intradermal routes of immu-

nisation in healthy vaccinia-na¨?ve subjects’, Vaccine, Volume 33 Issue 39,

5225–5234. You can find this article at:

https://www.sciencedirect.com/science/article/pii/S0264410X15008762, also

linked on the LMS.

You DO NOT need information from this article to answer the

questions; it is provided for interest only.

Monkeypox is a severe illness caused by a virus. Due to its similarity

with other pox-family viruses, the current strain circulating in non-endemic

regions (Monkeypox Clade IIb) is known to be prevented by the modified

vaccinia Ankara (MVA) vaccine, originally developed for smallpox.

This study, in part, examined two treatments:

Subcutaneous (SC) group a full dose of the MVA vaccine is injected into

the tissue layer between the skin and the muscle.

Intradermal (ID) group a one-fifth dose of the MVA vaccine is injected

just below the surface of the skin (between the epidermis and the

hypodermis).

We are only interested in the relative effectiveness of these two treat-

ments. The response variable measured is a measure of the vaccine effec-

tiveness, L2NT.1

The data is available as Asst2 2022 data.csv on the LMS Assignment

2 page.

(a). Explain why subcutaneous injection was chosen as the second treat-

ment, rather than a placebo.

(b). Produce an appropriate graph showing vaccine effectiveness for both

groups.

(c). Comment on the effect of vaccination method on L2NT. You should

support your comments with relevant statistics, but do not include

Minitab output.

Your comments must be less than 150 words.

1For those who chose to read the article: the response is actually

log2(neutralisation titre) at the 180th day after vaccination. This information is

not needed for the assignment.

3

(d). Calculate a 95% Confidence Interval for the difference in mean L2NT

for the two groups. Show all of your calculations (do not include

Minitab output, but you may use Minitab to obtain summary statistics

and relevant distribution values).

(e). What assumptions have you made in calculating this interval? Were

they satisfied? (You need to provide evidence, in the form of one graph

and a calculation.)

(f). Without doing further calculation, would a test of the hypotheses

H0 : μ1 ? μ2 = 0 and H1 : μ1 ? μ2 6= 0 be significant at the α = 0.05

level? Explain briefly.

Question 2: Political Polling

[2 + 2 + 4 + 2 + 3 = 13 marks]

This question is inspired by the report ‘Guardian Essential poll: Daniel An-

drews in strong position for Labor victory in Victorian election’, Benita Ko-

volos (2022)The Guardian Australia (https://www.theguardian.com/australia-

news/2022/sep/11/guardian-essential-poll-daniel-andrews-in-strong-position-

for-labor-victory-in-victorian-election), also linked on the LMS.

You DO NOT need information from this article to answer the

questions; it is provided for context only.

This report discusses the results from a poll of 536 people, where they

were asked about their voting intentions for the upcoming Victorian state

election in November 2022. The poll identified 189 people who were intend-

ing to give their first preference to the Australian Labor Party (ALP, the

current government) in the next election.

(a). Outline how you would collect a representative sample of a similar

size to this poll. Your answer will be assessed both on the statistical

validity and the practicality of your design.

(b). Construct a 95% confidence interval for the proportion of Victorians

who intend to give their first preference to the ALP.

(c). There were several undecided voters, with only 472 expressing an ab-

solute preference. Conduct an approximate Hypothesis Test (using

α = 0.05) to determine if there is a difference between decided vot-

ers in this poll, and the result of the previous election (where the ALP

received 43% of first preference votes). Show all of your calcula-

tions and steps.

Your answer needs to (the 5 step process meets these requirements):

? State the hypotheses in terms of the parameter(s) of interest.

4

Calculate sd(estimator).

Calculate the test statistic, and give its distribution under the

null hypothesis.

Give the P -value for the test, using Minitab (you should not use

Minitab for other parts of this question).

State your conclusion in the context of the data.

(d). An employee of the polling company is looking at the data on a seat-

by-seat basis. They find that in the seat of Ripon in Western Victoria

only 1 out of 7 respondents were planning on putting Labor as their

first preference. Would you advise them to use the same method as

used in part (c) to test if support for the ALP has changed? Why/why

not?

(e). It is believed that the true proportion of first-preference votes for the

ALP at the next election will be no more than 45%. Researchers

would like to estimate this proportion using an 80% confidence interval

based on a normal approximation, with a maximum margin of error

of 0.04. What sample size would be required to achieve this? Show

your calculations as well as your answer.

Question 3: Interpreting Research [3 + 2 = 5 marks]

This question requires you to interpret the following small section of the

article: Kathleen Gee, Mara Gonzalez and Carrie Cooper (2020) ‘Outcomes

of inclusive versus separate placements: A matched pairs comparison study’,

Research and Practice for Persons with Severe Disabilities, 45 (4) 223–240.

You can obtain this article from the Library website (online Journal search).

You DO NOT need information from this article to answer the

questions; it is provided for context only.

The students in inclusive classrooms were found to have a signif-

icant, large effect size as compared with the students in separate

classrooms for the following variables: being involved in an ac-

tivity that typical peers might be involved in at school (.58, p <

.001), being with typical peers (.62, p < .001), being socially en-

gaged (.58, p < .001), and being engaged in peer-to-peer learning

(.52, p = .002).

(a). For one of the four hypothesis tests in the quote, clearly state the

null and alternative hypotheses being tested. You may need to define

appropriate parameter(s); and you may assume that effect size is a

constant multiplied by the mean.

5

(b). The title of the study mentions it is a “matched pairs” comparison

study. Explain what this means in terms of this particular study.

Note: you do not need any additional information other than what is

given in this question.

Relevance, Formatting & Submission [2 marks]

You can gain an additional 2 marks by:

only including relevant material;

submitting a clearly legible assignment (eg all pages correct orienta-

tion);

selecting correct page(s) for each part of each question (when you

upload your assignment 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).


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