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 the fasting glucose levels for patients with pre-diabetes. The medication has moved into phase II of clinical trials, and will go on to test the effectiveness of three different doses against a control. The incomplete ANOVA table below represents the outcome of a preliminary analysis comparing the mean fasting glucoses among the groups. A) Complete the ANOVA table. B) How many participants were enrolled in the study? C) Calculate your F statistic and p value for the one way ANOVA procedure, and interpret your results. D. Use the displays below to discuss the differences in dose levels for reducing fasting blood sugar. Are the two displays compatible with what they convey?

Explanation / Answer

explanation:

there are only two groups-> control group and pre diebetic group

total error= error within the columns+ error between the columns

total no. of degrees of freedom= (no of rows-1)*(no. of colums-1)

mean square= sum of squares between groups/df

b) no of degrees of freedom within the group = no of participants-1=241

therefore total no. of participants=242

c) F ratio = mean squares bet /mean squarewithin = 80.30

p(from f table) = 3.8415 (at 95% confidence level)

interpretation:

as Fcal > Ftab we will accept the null hypothesis that drug does not make a difference.

sum of squares df mean squares between groups 1346.63 1 1346.63 within groups 4041.35 241 16.77 total 5387.98 241 22.36

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