Which of the following is favorable in a randomized controlled trial? OA. Use of competing interventions within a trial OB. Performing ad hoc analyses to support desired findings OC. Assessment of outcomes by various manners for different interventions D. Statistical power of at least 80%
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- comparison of the precisions of two machines developed for extracting juice from oranges is to be made using the following data. Is there sufficient evidence to indicate that there is a difference in the precision of the two machines at the 5% level of significance? Machine A Machine B s2 = 1.4 ounces2 s2 = 3.1 ounces2 n=25 n=20Consider the ANOVA table shown here for a one-way analysis of variance for an experimental design in which there are four treatment levels: Source Between Error Total Df 29 SS 485.50 715.50 The observed F value is ____. MS FQ: Using the data (provided below this question) apply ANOVA to determine if the mean response for value for the dollar is the same for different types of cell phones. Use a 5% significance level if the problem doesn’t give an alpha. Note: Please only provide the t stat, p-value, and critical value, no need to explain the whole process. Gender Carrier Type Usage Signal strength Value for the Dollar Customer Service M AT&T Smart High 5 4 4 M AT&T Smart High 5 4 2 M AT&T Smart Average 4 4 4 M AT&T Smart Very high 2 3 3 M AT&T Smart Very high 5 5 2 M AT&T Smart Very high 4 3 5 M AT&T Smart Very high 3 4 4 F AT&T Smart Very high 3 2 3 F AT&T Smart Very high 4 3 4 M AT&T Smart Very high 3 3 1 M Other Smart Average 1 2 4 M Sprint Smart Very high 3 5 4 M Sprint Smart Very high 3 5 3 F Sprint Smart Average 2 5 4 F Sprint Smart Average 3 5 4 M Verizon Smart Average 4 3 3 F Verizon Smart Very high 4 3 2 M Verizon…
- The data below are from a study comparing three different treatment conditions: Treatment 1 Treatment 2 Treatment 3 0 1 6 1 4 5 0 1 6 3 2 3 T = 4 T = 8 T = 20 SS = 6 SS = 6 SS = 6 N = 12 G = 32 ƩX2= 138 Conduct a single-factor independent-measures ANOVA to test the hypothesis that there are significant differences in the mean scores among the three treatment conditions. Use α = .01. a. The alternative hypothesis isA small pilot study is conducted to investigate the effect of a nutritional supplement on total body weight. Six participants agree to take the nutritional supplement. To assess its effect on body weight, weights are measured before starting the supplementation and then after 6 weeks. The data are shown below. Is there a significant increase in body weight following supplementation? Run the test at a 5% level of significance. Demonstrate the five steps for hypothesis testing and explain your results. Subject Initial Weight Weight after 6 Weeks 1 155 157 2 142 145 3 176 180 4 180 175 5 210 209 6 125 126The following data summarize the results from an independent-measures study comparing three treatment conditions. Treatment I II III N = 12 3 5 6 G = 60 5 5 10 ∑X2 = 392 3 1 10 1 5 6 x̅1 = 3 x̅2 = 4 x̅3 = 8 T1 = 12 T2 = 16 T3 =32…
- Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.For a repeated-measures study comparing two treatment conditions, a researcher obtains a sample of n = 10 difference scores with a mean of MD = 6 and a variance of s2 = 90. What is the value for the repeated-measures t statistic for these data? Select one: a. 7 b. 6 c. 2 d. 15From the same cohort, all cases and 10 controls per case were chosen for analysis. The following results were observed. Serum Level of Vitamin D Incident Cases of MS Healthy Individuals Above 40 ng per ml 40 20-40 ng per ml 4 40 Below 20 ng per ml 4 20 What is the odds ratio for individuals with serum levels of vitamin D of 20-40 ng per ml? O 4.0 О 30 O 1.0 O 2.0 2.
- A researcher surveyed randomly selected Democrats and Republicans asking them what the number one concern should be for the president of the United States. The results of the survey are shown below. Is there evidence to conclude that there is a difference in what Democrats and Republicans think is the most important? Economy Foreign Affairs Family Values Environment Other Democrats 82 58 80 70 44 Republicans 106 78 94 57 38 What can be concluded at the αα = 0.05 significance level? What is the correct statistical test to use? Goodness-of-Fit Independence Homogeneity Paired t-test The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is ααConsider the ANOVA table shown here for a one-way analysis of variance for an experimental design in which there are four treatment levels: Source Between Error Total Df 29 SS 485.50 715.50 MS F For a 5% level of significance, the critical F value isTo determine diet quality, male weanling rats were fed diets with various protein levels. Each of 15 rats was randomly assigned to one of three diets, and their weight gain in grams was recorded in the following table: Diet protein level Medium Low High 9.72 8.54 9.19 9.67 9.32 11.11 8.15 8.76 14.45 6.75 9.30 10.39 9.55 10.45 12.16 Sample Mean Sample Variance 1.696 8.768 9.274 11.460 0.547 3.963 Suppose we fit the data with the following model: Xij = µ+a; + Eij, i = 1, 2, 3; j= 1,., 5, N(0, o²) independently. Define X;. i = 1,2, 3, X. = 1=1 Xij, and SS(E) = E-1E=1(Xij – X;.)². E- Xij for where a1 + a2 + az = 0 and Eij Some R output that may help. > p1 qf (p1, 2, 12) [1] 0.010 0.025 0.052 0.106 2.807 3.885 5.096 6.927 > qf (p1, 2, 14) [1] 0.010 0.025 0.051 O.106 2.726 3.739 4.857 6.515 > qf (p1, 3, 12) [1] 0.037 0.070 0.114 O.192 2.606 3.490 4.474 5.953 > qf (p1, 3, 14) [1] 0.037 0.070 0.115 0.192 2.522 3.344 4.242 5.564