STAT1008 Quantitative Research Methods ASSIGNMENT 2

CAUTIONS!!

• YOU MUST ANALYSE RAW, INDIVIDUAL LEVEL DATA (NOT AGGREGATED DATA).  DO NOT ANALYSE DATA ALREADY SUMMARISED IN A FREQUENCY OR SUMMARY TABLE. (Note:  data tables available for public download from the Australian Bureau of Statistics tend to be in aggregated form already, so this data is not suitable for the assignment). An example of a data table that is already aggregated is shown in the screenshot below.

Figure 1: Example of aggregated (not individual level) data

•  THE STATISTICAL HYPOTHESIS TESTING TOOLS WE LEARN IN THIS COURSE REQUIRE INDEPENDENT UNITS OF OBSERVATIONS. FOR EXAMPLE, SERIALLY CORRELATED DATA (that is, data taken at yearly or other regular time intervals) ARE NOT INDEPENDENT. So time series data (eg. share prices over time) are not suitable for the assignment.

DATA SOURCES

If you have a specific topic or data fieldin mind, try running an online search for your topic eg. basketball data, human rights data, cost of living data  .

For a general search of datasets from a variety of topics, the following websites may be useful:

• The Data and Story Library https://dasl.datadescription.com/

• UC Irvine Machine Learning Repository https://archive.ics.uci.edu/ml/index.php For those interested in global and country-level data, you may find the following websites useful:

• Our World in Data https://ourworldindata.org/

• OECD Data https://data.oecd.org/

As an alternative to sourcing data from the internet, you might like to collect your own data (by conducting your own survey for example) to answer some question of interest to you. For example, according to the 2017 Universities Australia survey, the average number of hours worked per week amidst a semester is 16.3 hours for domestic undergraduate students.  Do ANU domestic undergraduate students work on average more on less than this amount per week?

A minimum sample size of 50 is recommended for a data set sourced from the internet.

A minimum sample size of 25 is recommended if you conduct your own survey to collect your own data.

REPORT GUIDELINES

You must submit a written report to communicate your project findings.  Please include the following sections in your report:

• INTRODUCTION:

•  State your research objective. What applied question are you trying to answer? Be very explicit and clear on what your null hypothesis and what your alternative hypothesis are using the framework discussed in class (H0  : .....) (HA  : .....)

•  State why your research question is of personal and practical interest.

• DATA SET DESCRIPTION:

• State the source of your data set.   Either provide the website address(es) if you downloaded the data from the internet or state that you conducted your own study to collect the data.

• Target population and data collection method.   What is your population of interest?   What was the date of data collection from the original source?   (eg GDP by country as at 31 Dec

2020) How were the records in your data set chosen for inclusion in your sample?  If there are biases in the data collection method, be sure to comment on how this may afect the validity of your results.

• Data set size and variables.  How many observations are in the data set? Which variables will you analyse?  Classify the variables by type  (numerical, categorical etc....)  Note:  You do not need to analyse all the variables in your chosen data set.  For example, suppose you have a data set which was collected to study the relationship between exercise and sleep patterns. The data set has 20+ variables containing demographic and lifestyle information on the study participants.  However, you are particularly interested to see whether there is an association between amount of hours slept per night and exercise hours per week, so you focus on these two variables for your analysis.

• DATA SUMMARIES

•  Provide summary  (frequency or contingency) tables for your chosen variables.  Include some graphical displays (bar charts, histograms, scatter plots etc.)

•  Provide some numerical descriptive measures of your chosen variables (sample means, sample  variances, sample proportions). Include a box and whisker plot for your numerical variable(s). You do not need to show working for any numerical descriptive measures that you calculate in  this section. You can simply report the result.  For example,  the sample mean is  6.8 hours  of sleep per night.

• From your data summaries, what conclusions can you draw about the shape of the distribution of your variables or relationships between variables?  Try to explain any patterns in the data you notice.

• In the online submission box, there will be a separate tab to submit your data set as an Excel spreadsheet. You must submit your data set as an Excel spreadsheet.  This spreadsheet must also show your Excel output with the relevant data summaries referred to in your report.

• HYPOTHESIS TESTS - RESULTS:

•  Carryout your hypothesis test. Restate H0  : ..... and HA  : ..... as provided in your introduction. Clearly state the test statistic you calculated and report the p-value of your test.

You must show all working. Specifically you need to provide the mathematical expressions for your test statistic calculation and your p-value calculation.  Stating the generic formula (for example, t =  for a one-sample t-test on a population mean) is not acceptable. You need to insert the specific numeric values for , μ , sx  and n that you used in your calculations. Report the exact p-value calculated using the Excel function T.DIST(..)  as demonstrated in lectures. Also state your chosen significance level.

•  Justify that your data variables confirm to the assumptions required by your hypothesis test.

• HYPOTHESIS TESTS - DISCUSSION:

• Interpret your results in relation to your applied research question and provide some practical, intuitive reasoning behind your results. For example, a significant positive correlation is found between exercise hours and sleep hours. This makes sense as more rest time may be required to recover from  the  additional physical exertion  during  exercise.

• CONCLUSIONS:

•  Brie且y summarise your key findings.

•  Discuss any limitations of your analysis and potential future improvements.  Are there any further questions you would like to answer if you had the relevant statistical knowledge or if

you had access to additional data?

• REFERENCE  LIST: If applicable, please use the Harvard referencing style as detailed here

https://www.anu.edu.au/students/academic-skills/academic-integrity/referencing/harvard.

SUBMISSION GUIDELINES

• Total length:  5-8 pages (including graphs, excluding reference list). Note this is a guideline on total length. A submission greater than 10 pages will be penalised and the pages exceeding the page limit will not be graded. On the other hand, it is doubtful that all elements of the assignment can be adequately addressed in 2 pages, hence a minimum length of around 5 pages is expected.

•  The assignment must be submitted online on the Wattle course website via the Turnitin submission box. Please submit your report as a ‘ .doc’  or‘ .pdf’  file. Turnitin is a ‘text-matching’ software and will compare your submission against an archive of Internet documents, Internet data, a repository of previously submitted papers, and subscription repository of periodicals, journals, and publications. Turnitin then creates an ‘Originality Report’ which can be viewed by both lecturers and tutors, which identifies where the text within a student submission has matched another source. It is important to note that Turnitin does not detect plagiarism. Turnitin will only match the text within a student’s assignment to text located elsewhere (e.g. found on the Internet, within journals or on databases of student papers).

•  No late assignments or hard copy assignments will be accepted without prior permission from the course convenor. Extension requests are to be submitted online on the course Wattle site. (See the assessment extension block on the right hand side of the Wattle site).