9.16 Comparing Breathing Frequencies in Swimming. Researchers from the United Kingdom studied the effect of two breathing frequencies on both performance times and several physiological parameters in front crawl swimming. ¹2 The breathing frequencies were one breath every second stroke (B2) and one breath every fourth stroke (B4). Subjects were 10 male collegiate swimmers. Each subject swam 200 meters, once with breathing frequency B2 and once on a different day with breathing frequency B4. a. Describe the design of this matched pairs experiment, including the randomization required by this design. Explain how you might carry out the randomization. b. Could this experiment be conducted using a completely randomized design? How would the design differ from the matched pairs experiment? c. Suppose we allow each swimmer to choose a breathing frequency and then swim 200 meters using the selected frequency. Are there any problems with then comparing the performance of the two breathing frequencies?

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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9.16 Comparing Breathing Frequencies in Swimming. Researchers from the
United Kingdom studied the effect of two breathing frequencies on both
performance times and several physiological parameters in front crawl
swimming.¹2 The breathing frequencies were one breath every second stroke (B2)
and one breath every fourth stroke (B4). Subjects were 10 male collegiate
swimmers. Each subject swam 200 meters, once with breathing frequency B2 and
once on a different day with breathing frequency B4.
a. Describe the design of this matched pairs experiment, including the
randomization required by this design. Explain how you might carry out the
randomization.
b. Could this experiment be conducted using a completely randomized design?
How would the design differ from the matched pairs experiment?
c. Suppose we allow each swimmer to choose a breathing frequency and then
swim 200 meters using the selected frequency. Are there any problems with
then comparing the performance of the two breathing frequencies?
Transcribed Image Text:9.16 Comparing Breathing Frequencies in Swimming. Researchers from the United Kingdom studied the effect of two breathing frequencies on both performance times and several physiological parameters in front crawl swimming.¹2 The breathing frequencies were one breath every second stroke (B2) and one breath every fourth stroke (B4). Subjects were 10 male collegiate swimmers. Each subject swam 200 meters, once with breathing frequency B2 and once on a different day with breathing frequency B4. a. Describe the design of this matched pairs experiment, including the randomization required by this design. Explain how you might carry out the randomization. b. Could this experiment be conducted using a completely randomized design? How would the design differ from the matched pairs experiment? c. Suppose we allow each swimmer to choose a breathing frequency and then swim 200 meters using the selected frequency. Are there any problems with then comparing the performance of the two breathing frequencies?
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