1. Multivariate Data 3.10 4 credits AS91582

2. Elite Athletes Introduction Sports scientists use statistical information to understand which variables improve an athlete’s performance. This activity requires you to produce a report describing an investigation that uses statistical methods to make a formal inference related to sports athletes. You will work to pose a comparison investigative question, complete your analysis, make conclusions, and write your report. The quality of thinking demonstrated in your report and your ability to link the context and populations to the different components of the statistical enquiry cycle will determine your overall grade.

3. Task The Australian Institute of Sport (AIS) is Australia’s premier sports training institute, internationally acknowledged as the world's best practice model for high-performance athlete development. In fact, athletes from AIS have won 142 Olympic medals since it was established in 1980. You have been provided with a data set from a study involving athletes from the AIS (see Resource A for column heading descriptors). Use the statistical enquiry cycle to conduct your investigation and to write a report describing the investigation.

4. Familiarise yourself with the data set provided. This will include doing research to help you understand the variables and develop a purpose for the investigation. • Identify the variables you wish to investigate, and establish a related investigative comparison question. • Conduct your investigation and write a report containing: • your comparison investigative question • appropriate displays and summary statistics • a discussion of the sample distributions • an appropriate formal statistical inference • a conclusion communicating your findings, including discussing sampling variability, the variability of estimates, and reflecting on the process that has been used to make the formal inference. • As you write your report, take care to link your discussion to the context and to support your statements by referring to statistical evidence.

5. Multivariate Data Learning objectives • understand the layout of the report • write a comparison question

6. The Report Title: should be informative and give or hint at the results of the analysis. Write it last! P P D A C oh yes it these guys again

7. Problem • state the purpose of the investigation based on your background research • pose your question • predict what you expect to see in the analysis based on your background reading

8. Posing your question • a comparison question includes: • variable being examined • groups that are being compared • population that inferences are being made about • statistic (difference in median or mean) What is the difference in the median number of pairs of shoes owned by men and women in New Zealand? Variable? groups ? population? statistic?

9. Data for Kiwis possible questions Variable? groups ? population? statistic? J Wills chose weight by gender

10. Data for Diamonds Variable? groups ? population? statistic? possible questions Diamond carat by lab J Wills chose

11. You only pick two groups. You can re-categorise your data to do this if you want to. perhaps two of the variables given are . . . . . • you could re-categorise the sports to look at: • team sports and non team sports • ball sports and non ball sports You don’t have to do this – but now you’ve met the words 

12. These are the variables for the Elite Athlete task Choose your variable and groups

13. Write your problem and email it to me Use pamsmaths.weebly.com for help don’t forget to research the data to give a purpose for the investigation

14. Plan • Variables identified, explain why you chose them. • explain why you chose the statistics you picked

15. Data “The data used in this investigation was given to me and is from _______” Explain here any re-categorisation you might have done

16. now add the plan and data part to your investigation and email it to me