Suppose you recruit 15 women with GDM for a clinical trial beginning in the 28^t

Question

Suppose you recruit 15 women with GDM for a clinical trial beginning in the 28^th week of pregnancy, and randomly assign 5 women to receive weekly weight and glucose checks only, 5 to receive weekly diet/exercise counseling, and 5 to receive low-dose sulfonylurea (a glucose-lowering medication). Since the women were randomized, there was no significant difference in their baseline fasting glucose levels. Fasting glucose in the 36^th week of pregnancy is given in mg/dL below. Determine whether there is a significant difference in fasting glucose among the treatment groups at a 5% significance level. Hypotheses: Test Statistic: Critical Value: Answer: Conclusion:

Explanation / Answer

1) null Hypothesis: all groups have same mean value for fasting glucose among treatment groups

Alternate hypothessis: there is a difference in fasting glucose among treatment groups

2)test statistics:

from above test statistics F =1.758

critical value : at 2 and 12 degree of freedom and 0.05 level of signfiicance ; critical value F =3.8853

Answer: as test stat is less then critical value ; we can not reject null hypothesis

Conclusion:

we do not have significant evidence to conclude that there is a difference in fasting glucose among treatment groups

i ni Xi Si^2 ni*(Xi-mean)^2 (ni-1)*Si^2 weight/glucose checks 5 114.2 22.696 24.200 90.783 Diet/exercise counselling 5 108.4 23.300 64.800 93.200 Low dose sulfonylurea 5 113.4 38.304 9.800 153.215 Weighted mean 112.000 98.800 337.197 SSG SSE Source of variation SS df MS F P value F crit treatment 98.800 2 49.400 1.758 0.2140 3.8853 error 337.197 12 28.100 total 435.997 14

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