In: Statistics and Probability
Some common strategies for treating hypertensive patients by
nonpharmacologic methods include (1) weight reduction and (2)
trying to get the patient to relax more by meditational or other
techniques. These strategies were evaluated by randomizing
hypertensive patients to four groups who receive the following
types of nonpharmacologic therapy: Group 1: patients receive
counselling for both weight reduction and meditation. Group 2:
patients receive counselling for weight reduction but not for
meditation. Group 3: patients receive counselling for meditation
but not for weight reduction. Group 4: patients receive no
counselling at all. 20 hypertensive patients were assigned at
random to each of the four groups, and the change in diastolic
blood pressure (DBP) was recorded in these patients after a 1-month
period. These data are summarized as follows:
Group n Mean change in DBP sd of change (baseline -
followup) (mm Hg)
1 20 8.6 6.2
2 20 5.3 5.4
3 20 4.9 7.0
4 20 1.1 6.5
(a)Complete the following ANOVA table:
Source of variation DF Sum of Squares Mean Square
F-statistic p-value
Model (between group) _________ 565.35 _______ _______ < 0.05
Error (Within group) __________ ________ ____________
__________ _________
Total 3583.31 ___________ _____________
________ ____________
(b)Interpret this p-value. Be sure to clearly state what is being
tested and what this means in the context of the problem of
interest. Comment on our ability to draw causal inference in this
setting.