Byers_eab_703_psc8

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University of Nevada, Las Vegas *

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703

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Statistics

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Jan 9, 2024

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docx

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EAB 703 Problem Set c8 NOTE: Assume we are testing at α = 0.05 for all statistical tests A study by Licciardone et al. on osteopathic manipulation as a treatment for chronic back pain was conducted to compare osteopathic manipulative Therapy (OMT), sham manipulation (SHAM), or non-intervention (CONTROL). Patients rated back pain from 0 = no pain to 10 = worst possible pain. [ DATA: eab_703_psc8_osteopath ] Can we conclude, based on these data that, on average, pain levels differ in the three treatment groups? Let: μ OMT = true mean score due to OMT μ SHAM = true mean score to SHAM μ CONTROL = true mean score due to CONTROL Ho: μ OMT = μ SHAM = μ CONTROL Ha: At least one μ i is different from another Test statistic & value: 0.45 p-value: 0.639 Effect Size 4.98/491.56=0.01 Statistical conclusion: P-value > 0.05, we fail to reject the null hypothesis. Written conclusion: Since p-value > 0.05, we fail to reject the Ho at 5% level of significance. Hence there is insufficient evidence to conclude based on data, on average, where pain levels differ in the three treatment groups. IF post hoc tests are appropriate, provide a summary of the results below.
Hartman-Maier et al. were interested in evaluating awareness deficits among stroke patients undergoing rehabilitation treatment. Of the 54 patients in the study, 35 had right hemisphere lesions and 19 had left hemisphere lesions. Lesions were grouped according to size (2 = 1-3cm diameter; 3 = 3-5cm diameter; 4 = 5+ cm diameter). Higher scores on the unawareness scale indicate more stroke damage. Using the unawareness score as the dependent variable, provide an ANOVA to examine the potential significant effects of the two independent factors in the study (i.e., Factor 1 = Lesion group size; Factor 2 = Hemisphere where damage occurred). [ DATA: eab_703_psc8_brain_damage ] Test of Interaction Effect Ho: There is no interaction between Lesion Size and Hemisphere Ha: There is interaction between Lesion Size and Hemisphere Test statistic & value: 1.305 p-value: 0.281 Statistical conclusion: P-value > 0.05, we fail to reject the null hypothesis. Test of Hemisphere Effect Ho: There is no main effect of Hemisphere Ha: There is main effect of Hemisphere Test statistic & value: 0.659 p-value: 0.421 Statistical conclusion: P-value > 0.05, we fail to reject the null hypothesis. Test of Lesion Size Ho: There is no main effect of Lesion Size Ha: There is main effect of Lesion Size Test statistic & value: 4.662 p-value: 0.014 Statistical conclusion: P-value < 0.05, we reject the null hypothesis. Post hoc follow-up for Lesion Size:
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