An experiment is designed to investigate the impact of different positions of th

Question

An experiment is designed to investigate the impact of different positions of the mother during ultrasound on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study includes 20 women who are assigned to one position and have the fetal heart rate measured in that position. Each woman is between 28 and 32 weeks gestation.

The data are show in the table below. Use the output provided in SAS Output. Final Q5.pdf.

a. What SAS procedure was used to generate the output provided?

b. Write out the model that is being tested.

c. Is there a significant difference in mean fetal heart rate by position at the 0.05 level? Justify your response.

d. In words, summarize the results from Tukey’s HSD on page 4. Why are these results preferred over all possible pairwise t tests?

GC660 Final Exam: Question 5 Class Level Information Class Levels Values position 4 |Back Side Sitting Standing Number of Observations Read 20 Number of Observations Used 20

Explanation / Answer

SoluttionA:

PROC ANOVA was used to generate the output provided.

PROC ANOVA;

class position;

model heartrate =position;

means position/tukey;

run;

b. Write out the model that is being tested.

model heartrate =position;

c. Is there a significant difference in mean fetal heart rate by position at the 0.05 level? Justify your response.

there is a significant difference in mean fetal heart rate by position at the 0.05 level.

F=4.63

p=0.0163

p<0.05

Reject Null hypothesis

Accept alternative hypothesis.

There are differnce in means.

From boxplot also we can observe that different positions of the mother during ultrasound on fetal heart rate.

there are difference in means of position with heart rate..

d. In words, summarize the results from Tukey’s HSD on page 4. Why are these results preferred over all possible pairwise t tests?

After we know that there are differnce in means.we want to know which group which means are different.

standing and sitting group means are different

standing and back means are different

standing and side means are different.

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