5.4 Two-way tables
Soccer is a unique in that one aspect is
...the purposeful use of the unprotected head for controlling and advancing the ball...
Some researchers suspect that repeatedly 'heading' the ball may impair brain function.
A study (Gausche et al. 2000) was conducted to determine
...whether long-term or chronic neuropsychological dysfunction (i.e. concussion) was present in collegiate soccer players
Data were collected from 240 college students:
- The student type:
One of 'soccer players' (63 students),
'non-soccer athletes' (96 students),
or 'non-athletes' (81 students).
- The number of head concussions: Each student was asked about the number of head concussions they had experienced; 'zero' (158 students), 'one' (45 students), or 'two or more' (37 students) concussions.
Use the study data (Table 5.2) to answer the following questions.
|0||1||2 or more||Total|
- Compute the percentage of college students in the sample overall that have received exactly one concussion.
- Many possible graphs exists to display the data; four are shown in Fig. 5.1. What is the main message from each graph? Which graph do you think is best? Why?
- Among the non-athletes, compute the odds of receiving two or more concussions. Interpret what this means.
- Among the soccer players, compute the odds of receiving two or more concussions. (Refer to Table 5.2.) Interpret what this means.
- Compute the odds ratio comparing the odds of a non-athlete player receiving two or more concussions to the odds of a soccer player receiving two or more concussions.
- Create a table of column percentages. What do these tell you?
- Create a table of row percentages. What do these tell you?
- Which one of these tables is probably more sensible, and why?