A researcher is interested in the effectiveness of a new medication at reducing systolic blood pressure via a new medication in a group of hypertensive patients. The medication has entered the phase II period for clinical trials, and the researcher has determined three doses to test on his participants. Suppose the following ANOVA table summarizes the findings of the study with respect to the four groups (three different doses and one control). Between Groups Within Groups Total Sum of Squares df 2267.6 3 1478.2 50 3745.8 53 Mean Square 755.87 29.564 A) Write out your null and alternative hypotheses for a one way analysis of variance. B) Assume all conditions for such a procedure are met. Calculate an F statistic and a pvalue for the procedure and determine if there is a difference between the groups.
A researcher is interested in the effectiveness of a new medication at reducing systolic blood pressure via a new medication in a group of hypertensive patients. The medication has entered the phase II period for clinical trials, and the researcher has determined three doses to test on his participants. Suppose the following ANOVA table summarizes the findings of the study with respect to the four groups (three different doses and one control).
Between Groups Within Groups Total
Sum of Squares df 2267.6 3 1478.2 50 3745.8 53
Mean Square 755.87 29.564
A) Write out your null and alternative hypotheses for a one way analysis of variance.
B) Assume all conditions for such a procedure are met. Calculate an F statistic and a pvalue for the procedure and determine if there is a difference between the groups.
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