In: Statistics and Probability
We wish to compare three interventions for preterm infants, with
regard to effects on the infants’ heart rates: Nonnutritive Sucking
(NNS), Nonnutritive Sucking plus Rocking (NNSR), and Rocking (R).
Nine infants are randomly assigned to six different orderings of
the three treatments. Heart rate, the dependent variable, is
measured after each treatment. The data are summarized in the
following table.
(Click herefor the data set in Google Sheets)
NNS |
NNSR |
R |
148 |
151 |
157 |
175 |
180 |
202 |
145 |
144 |
168 |
171 |
176 |
191 |
165 |
170 |
183 |
143 |
149 |
152 |
152 |
155 |
170 |
132 |
135 |
140 |
150 |
148 |
161 |
Using a 1% level of significance, test the claim that interventions
do not influence infant heart rates (i.e. mean heart rates are
equal for all three interventions).
Results:
p-value = (round answer to nearest hundredth of a
percent – 2.35%)
Conclusion:
We sufficient evidence to support the claim that
intervention type does influence infant heart rate
(p 0.01). (Use “have” or “lack” for the first blank and
“<” or “>” for the second
Groups | Count | Sum | Average | Variance |
NNS | 9 | 1378 | 153.1111 | 203.8611 |
NNSR | 9 | 1408 | 156.4444 | 236.7778 |
R | 9 | 1524 | 169.3333 | 388.5 |
One Way ANOVA:
(Atleast one is not equal)
Significant value= 0.01
The test statistic:
P-value= 0.11308
The test statistic is not significant and fail to reject H0. There is sufficient evidence to support the claim that the claim that interventions do not influence infant heart rates.