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
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 understand the layout of the report
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 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 Species Gender Weight(kg) Height(cm) Location Tok M
2.049
36.5
StI F
2.398
40.3 SF GS
2.009
42.9
NWN
NIBr
1.809
36.1 E
2.894
41.4 W
2.054
38.1
possible questions
Variable?
groups ?
population?
statistic?
J Wills chose
weight by gender

10. Data for Diamonds Carat Colour Clarity Lab Price 0.33 6 average Lab 1
768.6
0.31 5
Above average
788.2
Lab 2
0.32 4
841.4
0.34
855.4
0.35
878.5
possible questions
Variable?
groups ?
population?
statistic?
J Wills chose
Diamond carat by lab

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
Sex
male or female
Sport
sport played
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. body mass index (weight/height2) RCC red blood cell count WCC
These are the variables for the Elite Athlete task
Sex
male or female
Sport
sport played Ht
height in cm Wt
weight in kg
LBM
lean body mass
%Bfat
% body fat
BMI
body mass index (weight/height2)
RCC
red blood cell count
WCC
white blood cell count Hc
haematocrit Hg
haemoglobin
Ferr
plasma ferritin concentration
SSF
sum of skin folds
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