Exercise 36 Statistical Interaction Docx 2000
EXERCISE 36 Questions to be graded 1. The researchers found a significant difference between the two groups (control and treatment) for change in mobility of the women with osteoarthritis (OA) over 12 weeks with the results of F(1, 22) = 9.619,p = 0.005. Discuss each aspect of these results.
Answer
F-value shows significance between the two groups. The null hypothesis should be rejected because the P-Value is 0.005 which would mean that the groups are different.
2. State the null hypothesis for the Baird and Sands (2004) study that focuses on the effect of the GI with PMR treatment on patients’ mobility level. Should the null hypothesis be rejected for the difference between the two groups in change in mobility scores over 12 weeks? Provide a rationale for your answer.
Answer
The null hypothesis would be that the means for each groups the control and the treatment will be equal. The hypothesis will be rejected as the probability of happening is 0.005. Mobility scores are different.
3. The researchers stated that the participants in the intervention group reported a reduction in mobility difficulty at week 12. Was this result statistically significant, and if so at what probability?
Answer
Results are statically significant P=0.005 results are significant at exactly the 99.5% level (very high)
4. If the researchers had set the level of significance or α = 0.01, would the results of p = 0.001 still be statistically significant? Provide a rationale for your answer.
Answer
Yes p of 0.001 is less than 0.01 and therefore significant.
5. If F(3, 60) = 4.13, p = 0.04, and α = 0.01, is the result statistically significant? Provide a rationale for your answer. Would the null hypothesis be accepted or rejected?
Answer
It would not be significant at the P=0.04>0.01 the null hypothesis would be accepted
6. Can ANOVA be used to test proposed relationships or predicted correlations between variables in a single group? Provide a
Answer
F-value shows significance between the two groups. The null hypothesis should be rejected because the P-Value is 0.005 which would mean that the groups are different.
2. State the null hypothesis for the Baird and Sands (2004) study that focuses on the effect of the GI with PMR treatment on patients’ mobility level. Should the null hypothesis be rejected for the difference between the two groups in change in mobility scores over 12 weeks? Provide a rationale for your answer.
Answer
The null hypothesis would be that the means for each groups the control and the treatment will be equal. The hypothesis will be rejected as the probability of happening is 0.005. Mobility scores are different.
3. The researchers stated that the participants in the intervention group reported a reduction in mobility difficulty at week 12. Was this result statistically significant, and if so at what probability?
Answer
Results are statically significant P=0.005 results are significant at exactly the 99.5% level (very high)
4. If the researchers had set the level of significance or α = 0.01, would the results of p = 0.001 still be statistically significant? Provide a rationale for your answer.
Answer
Yes p of 0.001 is less than 0.01 and therefore significant.
5. If F(3, 60) = 4.13, p = 0.04, and α = 0.01, is the result statistically significant? Provide a rationale for your answer. Would the null hypothesis be accepted or rejected?
Answer
It would not be significant at the P=0.04>0.01 the null hypothesis would be accepted
6. Can ANOVA be used to test proposed relationships or predicted correlations between variables in a single group? Provide a