A researcher is interested in the effectiveness of a new medication at reducing

Question

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).

Assume all conditions for such a procedure are met. Calculate the F statistic and a p-value for the procedure and determine if there is a difference between the groups.

Show all your steps/work for full points. Carry probabilities to at least 4 decimal places for intermediate steps. Round your final answer to two or three decimal places. For extremely small probabilities, it is important to have 1 or two significant digits (non-zero digits), such as 0.000001 or 0.000034, etc.

Sum of Squares df Mean Square Between Groups 2267.6 3 755.87 Within Groups 1478.2 50 29.564 Total 3745.8 53

Explanation / Answer

The F value is ratio of Mean Squares

F value is MSbetween/MSwithin = 755.87/29.564 = 25.57

Df1 = df of numerator = 3

Df2 = df of denominator = 50

For p(F,df1,f2) = p(25.57,3,50) < 0.00001

The p-value is < .00001. The result is significant at p < .05.

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