What is the best modeling choice from among those listed below? Sketch a model schematic and data model

1.1 a A researcher is interested in testing the effect of a topical skin ointment on patient self-reported numerical 0-10 pain scale for patients suffering from a particular skin disorder. Several patients will be uniquely assigned to a nurse. An initial baseline measure patient self-reported pain is recorded by patient's nurse, then nurse applies Tx. This is repeated at 30 and 60 days, then at 90 days, final patient self-reported pain is recorded. The researcher wants to test the hypothesis that nurse is actually affecting patient's self-reported pain. Researcher will randomly select 7 nurses for the study. What is the best choice from among those listed below for testing this hypothesis? . Fixed-effect ANOVA, with nurse and pain-scale as inputs . Fixed-effect ANOVA, with subject and pain-scale as inputs . Logistic Regression, with nurse and Tx as inputs . Multinomial Regression, with nurse and Tx as inputs . Mixed model, with nurse nested in intercept (baseline) . Mixed model, with patient nested in intercept (baseline) Sketch a model schematic and data model.1.2 b A marketing team seeks to predict which customers are most likely to make a purchase based on their hrowsing behavior on the company's website. They collect each customer's age, gender, location, time spent on the website, pages Visited, and whether the],r made a purchase or not. The goal is to identify,r the most promising leads and target them with personalized marketing campaigns to increase the likelihood the].? make purchase. W' hat is the hest modeling choice from among those listed below? a 1*'ixede'ect AIN'UVA o Mixedeffect ANUVA a Logistic Regression, with purchase anti age as inputs 0 Ortiinal Regression a Repeated measures ANCDVA o Logistic Regression, with purchase as outcome 1.3 c A hotel chain surveys customers who recently stayed at one of their hotels. Customers are asked to rate their satisfaction on a scale of 1 to 5, with 1 being "Very Unsatisfied" and 5 being "Very Satisfied." The survey collects data on the customers' age (numerical), gender, reason for travel, length of stay, and room type. The hotel management team is interested in understanding how different factors relate to customer satisfaction levels. What is the best modeling choice from among those listed below? . Multinomial Regression . Mixed Effect ANOVA (with test for proportionality) . Ordinal Regression (with test for proportionality) . Multivariate Linear Regression . Two-sample t-test . Repeated measures t-test Sketch a model schematic and data model.1.4 d A food manufacturer wants to compare the effectiveness of two different types of packaging (A and B) and three different storage temperatures (low, medium, and high) on the shelf-life of their product. The manufacturer conducts an experiment where they store the product, 10 containers each, in both types of packaging at each storage temperature (n=60) and measure the product's shelf-life in days. What is the best modeling choice from among those listed below? . Ordinal Regression (with test for proportionality) . Multinomial Regression . Logistic Regression . 2-way fixed ANOVA 4 . 4-way mixed ANOVA . Chi-Squared goodness of fit test.1.5 e A company wants to compare the average number of hours worked per week by their two de- partments, A and B, to determine if there is a significant difference in workload between the two departments. They randomly select a sample of employees from each department and record the number of hours worked per week. What is the best modeling choice from among those listed below? . Chi-Squared goodness of fit test . Multinomial Regression . Two-sample t-test . Repeated measures t-test . 3-way mixed ANOVA . Logistic Regression, with hours as outcome Sketch a model schematic and data model