Which of the following assignments of subjects to treatment group is possible if George plans to use a randomized block design, blocking by the possible confounder variable sex, to divide subjects into two groups of eight subjects each, in such a way that the percentage of males in each group is the same?
A Small Experiment: Randomized Block Design
Recall the imaginary list of subjects, stored in the data frame SmallExp, discussed in Chapter 6:
data(SmallExp)
View(SmallExp)
help(SmallExp)
For your convenience, here's the entire data frame:
SmallExp
## name sex athlete
## 1 Linda female yes
## 2 Deb female yes
## 3 Caitlin female yes
## 4 Yolanda female yes
## 5 Valerie female no
## 6 Anne female no
## 7 Christine female no
## 8 Priya female no
## 9 Jorge male yes
## 10 Jeff male yes
## 11 Charles male yes
## 12 Mike male yes
## 13 Marcus male no
## 14 Kumar male no
## 15 Ed male no
## 16 Alexei male no
George plans to perform an experiment that involves assigning the subjects to two treatment groups. One treatment (called "music") involves listening to headphone-music while going through a stationary bike workout, and the other treatment (called "control") involves just going through the workout, without any music. George will measure how many calories each person burns during the workout.
Which of the following assignments of subjects to treatment group is possible if George plans to use a randomized block design, blocking by the possible confounder variable sex, to divide subjects into two groups of eight subjects each, in such a way that the percentage of males in each group is the same?
(More than one answer may be correct.)
## 2 Deb female yes control
## 5 Valerie female no control
## 6 Anne female no control
## 7 Christine female no control
## 9 Jorge male yes control
## 10 Jeff male yes control
## 14 Kumar male no control
## 15 Ed male no control
## 1 Linda female yes music
## 3 Caitlin female yes music
## 4 Yolanda female yes music
## 8 Priya female no music
## 11 Charles male yes music
## 12 Mike male yes music
## 13 Marcus male no music
## 16 Alexei male no music
## 2 Deb female yes control
## 4 Yolanda female yes control
## 5 Valerie female no control
## 6 Anne female no control
## 8 Priya female no control
## 10 Jeff male yes control
## 15 Ed male no control
## 16 Alexei male no control
## 1 Linda female yes music
## 3 Caitlin female yes music
## 7 Christine female no music
## 9 Jorge male yes music
## 11 Charles male yes music
## 12 Mike male yes music
## 13 Marcus male no music
## 14 Kumar male no music
## 3 Caitlin female yes control
## 4 Yolanda female yes control
## 5 Valerie female no control
## 7 Christine female no control
## 8 Priya female no control
## 11 Charles male yes control
## 14 Kumar male no control
## 16 Alexei male no control
## 1 Linda female yes music
## 2 Deb female yes music
## 6 Anne female no music
## 9 Jorge male yes music
## 10 Jeff male yes music
## 12 Mike male yes music
## 13 Marcus male no music
## 15 Ed male no music
## 1 Linda female yes control
## 2 Deb female yes control
## 6 Anne female no control
## 8 Priya female no control
## 11 Charles male yes control
## 12 Mike male yes control
## 13 Marcus male no control
## 14 Kumar male no control
## 3 Caitlin female yes music
## 4 Yolanda female yes music
## 5 Valerie female no music
## 7 Christine female no music
## 9 Jorge male yes music
## 10 Jeff male yes music
## 15 Ed male no music
## 16 Alexei male no music
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