For these questions, you are given brief summaries of research scenarios, specific hypotheses, and accompanying data. You are required to conduct appropriate statistical analyses of the data to draw conclusions for each research hypothesis. Write a brief report of the results in which you ? Highlight all inferential statistical effects (e.g., There was a strong main effect of Factor A) ? Discuss the qualitative nature of any such effects (e.g., Group A scored higher on than group B) ? Report the results of your statistical tests using the appropriate APA formatting for each respective statistical test (e.g., t[12] = 2.53, p = .026, d = 0.74, 95% CI = [1.34, 4.78]) ? Refer back to the research scenario to make a broad declarative statement about how well the research hypothesis is supported For all analyses, assume two-tailed hypothesis tests with ? = .05 unless otherwise specified. All parametric analyses must include effect sizes. Any t-tests must include 95% confidence intervals. Any analysis that includes an F-test must also include an accompanying ANOVA table. Any analysis that includes a correlation must also include the variances of the variables and their cross product (SP; covariability). Any analysis that includes linear regression must also include all relevant descriptive statistics (i.e., SSResidual, standard error of the residual, regression equation). Any non-parametric analysis must include the ranked scores and the sum of ranks (?R). You are free to use statistical software (e.g., SPSS, SAS, R, sciPy, MATLAB) to conduct statistical analyses and construct data plots. However, you must provide screenshots of your output as part of your submission. Please embed these images in the word-processed document, rather than submitting them separately. If you would prefer to compute statistical tests and construct data plots by hand on paper, please take photos of your work and embed them into your submission in much the same manner. Alternatively, you could type out your hand calculations, but this would likely be rather tedious and we therefore advise against it. If you opt to use statistical software, please report exact p values for each statistical test (e.g., p = .026). Otherwise, if you perform hand calculations, report p values in relation to (e.g., less than) the appropriate ?-level (e.g., ? = .05) and include the critical values from the relevant statistical tables provided in the textbook for each statistical test (e.g., p Question 5

A pharmaceutical company is interested in examining the efficacy of a new experimental drug to reduce allergic reactions and therefore recruited subjects to participate in a randomized clinical trial. The researchers exposed participants to a benign allergen to elicit allergic reactions. Half of the participants were assigned to an experimental drug treatment condition in which they were administered the new experimental drug (Drug condition), while the remaining half of participants were placed in a placebo condition in which they received a sham pharmacological treatment (Placebo condition). They measured a continuous-valued, composite index of allergic reaction symptomology to examine whether those who received the experimental drug treatment showed a reduction in allergic reaction symptomology (see Table 5 below). Upon preliminary analysis, the researchers discovered that the assumption of homogeneity of variance was violated: ???? = ???????? 2 ????????? 2 = 6.79 1.67 = 4.07, ????.???? = 4.04 . Furthermore, they realized that the dependent variable was not normally distributed, as scores were heavily positively skewed. Given these observations, using a parametric analysis of the mean difference between conditions is not appropriate. What can the researchers conclude about the efficacy of the drug using a non-parametric analysis? Show all relevant descriptive statistics.

Table S. Composite allergic reaction symptomology scores in the Drug and Control conditions Subject Condition Scores Drug 1.05 Drug 0.70 Drug 2.10 Drug 0.20 Drug 1.91 Drug 1.38 Drug 1.09 Drug 1.41 Drug 0.29 10 Drug 0102 11 Placebo EC'S 12 Placebo 8.21 13 Placebo 6.70 14 Placebo 1.00 15 Placebo 2.02 Placebo EEE 17 Placebo 6.19 18 Placebo 8.47 19 Placebo 2.67 20 Placebo 5.92