ECOM 2001: Quantitative Techniques for Business - Report Writing Management Assignment Help

Assignment Task:

Project Overview 

The aim of this project is to apply the skills you have learned in the unit to evaluate a set of data. It requires both the statistics and the mathematics components of the unit and you should be able to do parts of the project as the unit progresses. You are strongly encouraged to tackle the project on a weekly basis and complete as many questions as possible. 

The basic project outline is taken from the CORE textbook ‘Empirical Project 2: Collecting and Analysing Data From Experiments’. Read the project introduction and be sure to take a look at the paper (Herrmann, Thöni, and Gächter (2008)) and the chapter mentioned so that you have a good idea of the problem. 

We will use data from our own class to complete the project as an individual report. To prepare to complete the analysis you are strongly encouraged to replicate the steps set out in Parts 2.1, 2.2 and 2.3 by following the instruc tions and using the provided data file, but do not include this as part of your submission. As outlined, you will be assigned a subset of the class data to analyse to complete the report described in Section 2 of this document. 

Read the instructions on how to set up the public goods game. Form a group with 5 other students and elect one student to serve as the administrator. A er you have completed the experiment the administrator should email the results as an Excel file to the tutorial leader along with the names and student IDs of all group members. The Excel file should be de-identified. This means that the Excel file contains labels A, B, C, and D for each group member’s decisions. Do not link the names and student IDs of the participants with the labels, just send the list of group members in the body of the email and the de-identified results as an excel attachment. 

If you are registered to attend face to face tutorials you should plan to complete this step during the tutorial during WeeK 8. If you are an online tutorial student you should plan to complete this online with a group during Week 8. If you need help to find a group use the Ed Discussion Board. Online only students should form a group and arrange a time for all group members to participate (it is up to you whether you would like to use an online meeting tool to see your group members or not: the experiment only requires that all group members login at economics-games.com at the same time and participate together). 

Note that in order to receive the 5 points for this part of the assignment you will need to participate either as an administrator or participant in at least one group (you may participate in more than one group if groups are short of participants). If your name and student ID is not sent to the tutorial leader by an administrator along with a valid data file you will receive a grade of 0 on this component. 

2 Analyse the data (45 points) 

Submit by Monday, November 16 at 16:00 (Turnitin.com link) 

The results from a subset of the session run in class will be provided to you on the Blackboard a er all groups have collected their data. Use your assigned subset to complete all steps of the data analysis below. 

2.1 Part 1 

1. Create a line chart for each of the treatment conditions (punishment and no punishment) with the average contribution of each group as the vertical axis, and Period (from 1 to 10) on the horizontal axis. (This should look something like Figure 2.1) 

2. Describe how average contributions have changed over the course of the game and between each treatment. 

3. Compare your charts with Figures 2A and 3 of Herrmann, Thöni, and Gächter (2008). Comment on any sim ilarities or di erences between the results. Why might the results you have at hand be similar or di erent from those in Figure 3? 

2.2 Part 2 

4. Create a summary table of the mean, variance, standard deviation, number of obervations, standard er ror, minimum, maximum and range for Periods 1 to 10 for each treatment separately. (Refer to the RStudio lessons in Ed to learn how to format these tables better than is done R walk-through 2.7) notice that in the walk-through only Period 1 and Period 10 are provided, you are now asked to do this for each Period. 

5. Summarise the mean contributions in each period using a column chart with periods along the horizontal x axis and mean contribution along the vertical y axis. Use di erent colours to indicate the results from each treatment (punishment and no punishment). Also include error bars to indicate 2 standard deviations around the mean (one sd above and one sd below) in each bar. (hint: you may find this site helpful). 

6. Comment on any similarities or di erences in the distributions, both across time and across treatments. 2

7. Comment on why we cannot use the size of the di erence to directly conclude anything about whether the di erence could be due to chance. 

2.3 Part 3 

8. Conduct a one-sample t-test of the significance of the mean contribution in Period 1 for each treatment1 (i.e. run the test separately for punishment and no punishment). Fully explain all five steps of the Hypothe sis testing procedure and include the equations for the the test statistic and any other explanations to fully describe the test. Use a significance level of 5% for this test. What can you conclude about the mean contri bution in each treatment? 

9. Repeat the test you ran in Part 8 using the data from Period 10. Are the results di erent? 

2.4 Part 4 

10. Conduct a two-sample t-test of the di erence in the mean contribution between the treatments (punishment and no punishment) in Period 1, assuming that the treatment groups are independent. Decide whether to assume that the variances are equal or not (support this choice with an appropriate statistical test). For each test fully explain all five steps of the hypothesis testing procedure, including the equations for the the test statistic and any other explanations to fully describe the test. Use a significance level of 5%. What can you conclude from this test? 

11. Repeat the tests you ran in Part 10 using the data from Period 10. Are the results di erent? 

2.5 Part 5 

12. Calculate the correlation between Period 1 contributions in the punishment and no punishment treatments.

13. Determine whether the two samples are correlated using an appropriate statistical test using the results from Period 1. Use a significance level of 5%. Fully explain all five steps of the hypothesis testing procedure, in cluding the equations for the the test statistic and any other explanations to fully describe the test.

14. Conduct the two-sample paired t-test for the di erence in mean contributions between the treatments in Pe riod 1.Use a significance level of 5%. (Again fully explaining all five steps of the Hypothesis testing procedure and including the equations for the the test statistic and any other explanations to fully describe the test).

15. Are the results in 14 di erent from those you found in part 2.4? If they are di erent, why is this the case?

16. Repeat the tests you ran in step 13 and 14 using the data from Period 10. Comment on di erences with the results from part 2.4 and the results for Period 1. 

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