Concept explainers
(a)
To find out which are the blocks in this experiment: the different diagnoses or the type of care and explain why.
(a)
Answer to Problem 77E
The blocks are the diagnoses.
Explanation of Solution
In this question, the patients were diagnosed with asthma, diabetes or high blood pressure while they were randomly assign to nurse or doctor. Since the patients were randomly assigned to a doctor or a nurse the treatments are being treated by a doctor and being treated by a nurse thus the types of care are the treatments. Thus the blocks cannot be treatments but have to be characteristics of the patients and thus the diagnoses have to be the different blocks. Thus, the blocks are the diagnoses, asthma, diabetes or high blood pressure.
(b)
To explain why a randomized block design is preferable to a completely randomized design in this setting.
(b)
Explanation of Solution
In this question, the patients were diagnosed with asthma, diabetes or high blood pressure while they were randomly assign to nurse or doctor. And the blocks are the diagnoses, asthma, diabetes or high blood pressure. Thus, it would be more difficult to compare the results within in a completely randomized experiment because the person’s health and the satisfaction of the patients could be strongly related to their diagnoses. Therefore, a randomized block design is more preferable because there will be lot less variability within a diagnosis block and it will be then a lot easier to compare the effect of the type of care on the response variables.
Chapter 4 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
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Elementary Statistics
Introductory Statistics (10th Edition)
Elementary Statistics: Picturing the World (6th Edition)
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