1. Should the null hypothesis for the main effect (for time of testing) be rejec
ID: 3062507 • Letter: 1
Question
1. Should the null hypothesis for the main effect (for time of testing) be rejected? Explain using specific information given in either the image above (if relevant) or in useful statistical information and excerpt from the article page. Be specific - use the data provided. 2. Does Figure 1 indicate that there is an interaction? Explain using specific information given in either the image above (if relevant) or in useful statistical information and excerpt from the article page. Be specific - use the data provided. 3. Is the interaction statistically significant at the .05 level? Why? Explain using specific information given in either the image above (if relevant) or in useful statistical information and excerpt from the article page. Be specific - use the data provided. 4. Is the interaction statistically significant at the .01 level? Why? Explain using specific information given in either the image above (if relevant) or in useful statistical information and excerpt from the article page. Be specific - use the data provided. 5. What is the precise probability that the null hypothesis regarding the interaction is true?Excerpt from the Artide The participants in this study were the 62 members of the nursing staff working in a 47-bed Department of Veterans Affairs spinal cord injury center. The purpose of this study was to evaluate the effectiveness of the training course in [reducing discomfort when engaging in difficult] staff interactions. A behavioral approach was selected as the basis for the training It consisted of a combination of techniques such as lecture and discussion, modeling, and behavior rehearsal, with feedback provided by group members and the trainers... The study included the Spinal Cord Injury Assertiveness Inventory (SCIAI) as preprogram and postprogram measures to assess the effectiveness of the training.. At the request of the nurse managers, all nursing staff participated in the training, so we had no control group. A repeated measures ANOVA on the total score of the SCIAl showed no simple effect [ie, main effect. p .1069] related to the time of testing [i.e, the mean on the pretest (M-2.40) for all participants was not significantly different from the mean on the posttest for all participants (M-227).. However, when we examined the participants' education, we found a statistically significant interaction effect between the time of testing and education (F2,58-3.468, P-.0378) (see Fig- ure 1) After the dass, the NAs (nursing assistants), all of whom had a high school education, showed an increased discomfort level, whereas the disco fort level of the LVNs (licensed vocational nurses) and the RNs (registered nurses) decreased. Never, paired, tests on the various groups, data showed that only the RNs (t·2.692, df. 36, p·0107) exhibited a statistically significant change in their discomfort level related to time of testing I Nursing assistants O Licensed vocational nurses 2.8 2.7 2.6 2.5 24 2.3 21 20 Posnest Tine of Testing Fgure Intsraction herweeen eme of testing (prctest vs pos- test) and educational level
Explanation / Answer
1. Should the null hypothesis for the main effect (for time of testing) be rejected? Explain using specific information given in either the image above (if relevant) or in useful statistical information and excerpt from the article page. Be specific - use the data provided
Here we have to test the hypothesis that,
H0 : Main effects are not significant.
H1 : Main effects are significant.
Assume alpha = level of significance = 0.05
The p-value for main effect is 0.1069
P-value > alpha
Accept H0 at 5% level of significance.
Conclusion : Main effects are not significant.
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2. Does Figure 1 indicate that there is an interaction? Explain using specific information given in either the image above (if relevant) or in useful statistical information and excerpt from the article page. Be specific - use the data provided.
From the given figure we can say that there is interaction between the factors because the two lines in the figure intersect each other.
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3. Is the interaction statistically significant at the .05 level? Why? Explain using specific information given in either the image above (if relevant) or in useful statistical information and excerpt from the article page. Be specific - use the data provided.
Here we have to test the hypothesis that,
H0 : There is no interaction between the factors.
H1 : There is interaction between the factors.
Assume alpha = level of significance = 0.05
The P-value for interaction is 0.0378
P-value < alpha
Reject H0 at 5% level of significance.
Conclusion : There is interaction between the factors.
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4. Is the interaction statistically significant at the .01 level? Why? Explain using specific information given in either the image above (if relevant) or in useful statistical information and excerpt from the article page. Be specific - use the data provided.
Here we have to test the hypothesis that,
H0 : There is no interaction between the factors.
H1 : There is interaction between the factors.
Assume alpha = level of significance = 0.01
The P-value for interaction is 0.0378
P-value > alpha
Accept H0 at 5% level of significance.
Conclusion : There is no interaction between the factors.
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