Question

W. Thomas Boyce, a professor and pediatrician at the University of British Columbia, Vancouver, has studied interactions between individual differences in physiology and differences in experience in determining health and well-being. Dr. Boyce found that some children are more sensitive to their environments. They do exceptionally well when the environment is supportive but are much more likely to have mental and physical health problems when the environment has challenges. You decide to do a similar study, conducting a factorial experiment to test the effectiveness of one environmental factor and one physiological factor on a physical health outcome. As the environmental factor, you choose two levels of stress. As the physiological factor, you choose three levels of cardiovascular reactivity. The outcome is number of injuries in the previous 12 months, and the research participants are rhesus monkeys. You conduct a two-factor ANOVA on the data. The two-factor ANOVA involves several hypothesis tests. Which of the following are null hypotheses that you could use this ANOVA to test? Check all that apply. ? The effect of stress on number of injuries is no different from the effect of cardiovascular reactivity. ? Cardiovascular reactivity has no effect on number of injuries. ? Stress has no effect on number of injuries. ? There is no interaction between stress and cardiovascular reactivity. The results of your study are summarized by the corresponding sample means below. Each cell reports the average number of injuries for 6 rhesus monkeys. Factor B: Cardiovascular Reactivity Low Medium High M = 3.00 M = 3.17 M = 4.17 Low T = 18 T = 19 T = 25 TROW1 = 62 SS = 0 SS = 0.8333 SS = 0.8333 Factor A: ?X² = 452 Stress

W. Thomas Boyce, a professor and pediatrician at the University of British Columbia, Vancouver, has studied interactions
between individual differences in physiology and differences in experience in determining health and well-being. Dr. Boyce found
that some children are more sensitive to their environments. They do exceptionally well when the environment is supportive but
are much more likely to have mental and physical health problems when the environment has challenges.

You decide to do a similar study, conducting a factorial experiment to test the effectiveness of one environmental factor and one
physiological factor on a physical health outcome. As the environmental factor, you choose two levels of stress. As the
physiological factor, you choose three levels of cardiovascular reactivity. The outcome is number of injuries in the previous 12
months, and the research participants are rhesus monkeys.

You conduct a two-factor ANOVA on the data. The two-factor ANOVA involves several hypothesis tests. Which of the following
are null hypotheses that you could use this ANOVA to test? Check all that apply.

? The effect of stress on number of injuries is no different from the effect of cardiovascular reactivity.
? Cardiovascular reactivity has no effect on number of injuries.
? Stress has no effect on number of injuries.
? There is no interaction between stress and cardiovascular reactivity.

The results of your study are summarized by the corresponding sample means below. Each cell reports the average number of
injuries for 6 rhesus monkeys.

Factor B: Cardiovascular Reactivity
Low Medium High
M = 3.00 M = 3.17 M = 4.17
Low T = 18 T = 19 T = 25 TROW1 = 62
SS = 0 SS = 0.8333 SS = 0.8333
Factor A: ?X² = 452
Stress

W. Thomas Boyce, a professor and pediatrician at the University of British Columbia, Vancouver, has studied interactions
between individual differences in physiology and differences in experience in determining health and well-being. Dr. Boyce found
that some children are more sensitive to their environments. They do exceptionally well when the environment is supportive but
are much more likely to have mental and physical health problems when the environment has challenges.

You decide to do a similar study, conducting a factorial experiment to test the effectiveness of one environmental factor and one
physiological factor on a physical health outcome. As the environmental factor, you choose two levels of stress. As the
physiological factor, you choose three levels of cardiovascular reactivity. The outcome is number of injuries in the previous 12
months, and the research participants are rhesus monkeys.

You conduct a two-factor ANOVA on the data. The two-factor ANOVA involves several hypothesis tests. Which of the following
are null hypotheses that you could use this ANOVA to test? Check all that apply.

? The effect of stress on number of injuries is no different from the effect of cardiovascular reactivity.
? Cardiovascular reactivity has no effect on number of injuries.
? Stress has no effect on number of injuries.
? There is no interaction between stress and cardiovascular reactivity.

The results of your study are summarized by the corresponding sample means below. Each cell reports the average number of
injuries for 6 rhesus monkeys.

Factor B: Cardiovascular Reactivity
Low Medium High
M = 3.00 M = 3.17 M = 4.17
Low T = 18 T = 19 T = 25 TROW1 = 62
SS = 0 SS = 0.8333 SS = 0.8333
Factor A: ?X² = 452
Stress

Added by Jeffrey B.

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