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FOUNDATIONS OF STATISTICS

STA10003 FOUNDATIONS OF STATISTICS ASSIGNMENT This assignment is worth 20% of your final mark. Scenario You are a new graduate researcher at a social science and psychological sciences research institute. You have been given a dataset from the Australian Public Service Commission Census 2014, which is a survey of Australian public service sector employees, and asked to analyse the data to answer 5 questions of interest that are presented on the next page. For your assignment you should only use the cleaned data set provided for you in the Assignment folder on Blackboard. It is called STA10003AssignmentData2015_S2.sav Data Preparation For the purpose of your report you must use SPSS to draw a random sample of 1500 of the 4352 observations. You will conduct your analysis on this sample of 1500. Instructions on how to generate your random sample, and some help with the Binomial test, are on the following pages. Submission Instructions  Your submission must be a single Word file or PDF file.  You must submit your file via the Turnitin link on Blackboard by the specified due date and time. Only the last document you submit will be retained by Turnitin.  Once submitted, please review your submission to ensure the correct file has been submitted.  This is an individual assignment. Do not share your work with other students. They will have a different random sample of data, so any copying will be detected by Turnitin. Video demonstrations Videos showing how to prepare your data and how to submit via Turnitin are provided for you in the Assignment folder on Blackboard. 2 For your assignment, you are required to complete the following five questions by producing the appropriate analyses and writing the relevant report for each question. For each question you should include the relevant output with your answer. Question 1 The variable FORTNIGHTHOURS indicates the amount of work done in the last fortnight. Produce the relevant graph and table to summarise the FORTNIGHTHOURS variable and write a paragraph explaining the key features of the data observed in the output in the style presented in the course materials. Question 2 The variable AGENCYENGAGEMENT is a scale measurement that indicates how engaged an employee is with the agency they work for. This variable was measured on a scale that can take values from 0 to 20, with higher values representing greater employee engagement with the agency. Produce the relevant graph and tables to summarise the AGENCYENGAGEMENT variable and write a paragraph explaining the key features of the data observed in the output in the style presented in the course materials. Question 3 The variable POSITION indicates the nature of the work status of an employee’s position at that the agency they work for. It was reported in recent research that less than 32% of Australian public service staff are employed in mid-level positions. Conduct a Binomial test using the POSITION variable to test this claim. Produce the relevant output and write a Binomial test report based on your output in the style presented in the course materials. Question 4 The variable SPRVISRENGAGEMENT is a scale score of how engaged an employee is with their supervisor. This variable was measured on a scale that can take values from 0 to 20, with higher values representing greater employee engagement with their supervisor. Previous research has indicated that Australian public service employees had an average score of 14.5. However, researchers have claimed that this has decreased due to changes made by the new government. Conduct a One-sample t-test using the SPRVISRENGAGEMENT variable to test this claim. Produce the relevant output and write a one-sample t-test report based on your output in the style presented in the course materials. Include the relevant output with your answer. Question 5 Researchers hypothesise that Australian public service employees who have been bullied at work are less engaged with the agency they work for than Australian public service employees who have never been bullied at work. Conduct an independent samples t-test using the AGENCYENGAGEMENT and BULLIED variables to test this claim. Produce the relevant output and write an Independent samples t-test report based on your output in the style presented in the course materials. 3 How to generate your sample 1. Select random number generators from the Transform menu 2. Click Set Active Generator and Set Starting Point, Random 4 3. Select the Data menu then Select Cases 4. Choose Random Sample of Cases and then click the Sample button [the Sample button is in grey-scale until you select the Random sample of cases choice]: 5 5. Click Exactly and type 1500 cases from the first 4352. [again the information is in grey-scale until you select ‘Exactly’. We want to generate a random sample of 1500 from the entire data set, so enter 1500 cases from the first 4352 cases] 6. After entering the information above, click Continue [this returns you to the Select Cases Dialogue Box where you will see next to the Sample button confirmation of the 1500 cases selected]. 7. Click the Delete unselected cases button under the Output heading. After clicking OK, your data set will now only show the 1500 cases selected. 8. You should now save the data file with a new name – which is ready to use to start your Assignment! 6 Marking Rubric [Out of 20] Clear Fail (0) Fail (1) Pass (2) Credit (3) Distinction/HD (4) Summary of Categorical Variable Inappropriate graphs or tables used Appropriate graphs and tables for categorical data. No summary Appropriate graphs and tables for categorical data. Reasonable attempt to summarise what is seen in the output. Appropriate graphs and tables for categorical data. Graphs and tables suitably edited for presentation (titles, rounding, etc) Written summary covers all relevant features of output. Appropriate graphs and tables for categorical data. Graphs and tables suitably edited for presentation (titles, rounding, etc) Written summary covers all relevant features of output and is clearly and concisely written Summary of Metric Variable Inappropriate graphs or tables used Appropriate graphs and tables for metric data. No summary Appropriate graphs and tables for metric data. Reasonable attempt to summarise what is seen in the output. Appropriate graphs and tables for metric data. Graphs and tables suitably edited for presentation (titles, rounding, etc) Written summary covers all relevant features of output. Appropriate graphs and tables for metric data. Graphs and tables suitably edited for presentation (titles, rounding, etc) Written summary covers all relevant features of output and is clearly and concisely written Binomial Test Incorrect output and/or no report Correct output Major errors in report Correct output Report presented following format used in course materials and textbook. No major errors in report. More than 1 or 2 minor errors. Correct output Report presented following format used in course materials and textbook. Only 1-2 minor errors in report Correct output. Report presented following format used in course materials and textbook. Flawless report One Sample t-test Incorrect output and/or no report Correct output Major errors in report Correct output Report presented following format used in course materials and textbook. No major errors in report. More than 1 or 2 minor errors. Correct output Report presented following format used in course materials and textbook. Only 1-2 minor errors in report Correct output Report presented following format used in course materials and textbook. Flawless report Indep Sample t-test Incorrect output and/or no report Correct output Major errors in report Correct output Report presented following format used in course materials and textbook. No major errors in report. More than 1 or 2 minor errors. Correct output Report presented following format used in course materials and textbook. Only 1-2 minor errors in report Correct output Report presented following format used in course materials and textbook. Flawless report 7 Marking Details Prior to submitting your Assignment via Turnitin, use the following checklist as a guide to ensure that you have provided all of the relevant information. Q1 – Should include (as appropriate): A graph and Frequency output appropriate for a categorical variable. A paragraph that includes mention of largest group, smallest group, spread of percentages/proportions [as appropriate], and any other relevant patterns based on the Model Reports from the learning materials. Q2 – Should include (as appropriate): A graph and Explore output appropriate for a metric variable. A paragraph that includes a description of the centre, spread, outliers if present, and shape of distribution based on the Model Reports from the learning materials. Q3 to Q5 – Should each include (as appropriate): Appropriate output and a report that conforms to style presented in the learning materials Checklist:  Correct variable used to produce output  Correct procedure performed  Graphs appropriately edited and labelled (e.g. edited variable names; “Figure 1. The distribution of …”  Correct test values used  All figures quoted in report correct according to your own output  Including 95% confidence interval interpretations  Significance interpreted correctly (ie saying the finding is significant when it is not or vice versa)  Correctly referring to the sample or population when appropriate  Proof reading of reports for errors

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