I Question #1) A researcher wants to evaluate a new 12-week behavioral therapy for children diagnosed with oppositional defiant disorder. The researcher implements the therapy with 7 children and measures the number of outbursts in a week by each child before starting the therapy (baseline), three months after starting therapy, and six months after starting therapy. Is the therapy effective at reducing outbursts in children diagnosed with oppositional defiant disorder? (30 points) Child Name Baseline Month 3 Month 6 Justin 20 10 6 Sarah 25 6 4 Anthony 17 3 3 Melanie 19 7 4 Patrick 12 3 3 Isabelle 18 2. 1 Victor 23 4 a) What is the main question being asked? (2 points) b) What kind of test would you need to run? (2 points) c) What is the independent variable (or factor)? (2 points) d) What is the dependent variable? (2 points) e) What is the statistical notation (for some types of tests, this answer should include the post-hoc notations AS WELL as the overall statistical notation)? (3 points) f) Report statistical significance (for some types of tests, this answer should include the post-hoc significance AS WELL as the overall significance) (2 points) e) What are the means that should be reported (If this is an ANOVA/factorial please include all means to be reported)? (2 points) h) What is the complete interpretation (in order to receive full credit you need to include all statistical notation as well as an interpretation of what they mean in context) (8 points) 1) What is the overall interpretation (summarize in 1-2 sentences)? (2 points) I Question #2 Dr. Brian Noggin is interested in the effect of different types of persuasive messages on a person's willingness to engage in socially conscious behaviors. Dr. Noggin randomly assigns 7 participants to one of three different message groups: Fear Invoking message, Guilt message, and Information Laden message. After listening to each message, each participant rates how persuasive the message was on a scale of 1-7 (1 - very NOT persuasive and 7 = very persuasive). Do the messages differ in persuasiveness? (25 points) Guilt message Fear Invoking message 3 4 1. 2 4 2 5 Information Laden message 7 7 5 7 3 4 1 6 3 4 6 6 4 a) What is the main question being asked? (2 points) b) What kind of test would you need to run? (2 points) c) What is the independent variable(s) (or factor)? (2 points) d) What is the dependent variable? (2 points) e) What is the statistical notation (for some types of tests, this answer should include the post-hoc notations AS WELL as the overall statistical notation)? (3 points) 1) Report whether findings are significant or not significant and how you know (for some types of tests, this answer should include the post-hoe significance AS WELL as the overall significance) (2 points) el What are the means that should be reported (If this is an ANOVA factorial please include all means to be reported)? (2 points) h) What is the complete interpretation (in order to receive full credit you need to include all statistical notation as well as an interpretation of what they mean in context) (8 points) ) What is the overall interpretation (summarize in 1-2 plain English sentences)? (2 points) Question #3) In order to better prepare for her 8:00am classes, a statistics student designs an experiment to see how various strategies improve test scores. Completing homework assignments and eating a good breakfast are often said to be good ways to improve focus for class. She assigns half of her students homework assignments to practice and half no additional homework assignments. Within these groups, half of the participants are instructed to eat a balanced breakfast the morning of the test and the other half are asked to skip breakfast. She then measures exam performance on a test with scores ranging from 1-10. (25 points) Eating Breakfast No Homework 7 3 6 7 Homework 8 10 10 9 8 8 10 7 6 7 9 8 8 4 6 6 7 9 6 9 7 8 Skipping Breakfast 8 a) What is the main question being asked? (2 points) b) What kind of test would you need to run? (2 points) c) What is the independent variable (8) (or factor)? (2 points) d) What is the dependent variable? (2 points) e) What is the statistical notation (for some types of tests, this answer should include the post-hoc notations AS WELL as the overall statistical notation)? (3 points) ) Report statistical significance (for some types of tests, this answer should include the post-hoc significance AS WELL as the overall significance) (2 points) B) What are the means that should be reported (If this is an ANOVA/factorial please include all means to be reported)? (2 points) h) What is the complete interpretation (in order to receive full credit you need to include all statistical notation as well as an interpretation of what they mean in context) (8 points) 1) What is the overall interpretation (summarize in 1-2 sentences)? (2 points) For extra credit, create a graph of the mixed factorial ANOVA (5 extra credit points), please copy and paste graph below: I Question #1) A researcher wants to evaluate a new 12-week behavioral therapy for children diagnosed with oppositional defiant disorder. The researcher implements the therapy with 7 children and measures the number of outbursts in a week by each child before starting the therapy (baseline), three months after starting therapy, and six months after starting therapy. Is the therapy effective at reducing outbursts in children diagnosed with oppositional defiant disorder? (30 points) Child Name Baseline Month 3 Month 6 Justin 20 10 6 Sarah 25 6 4 Anthony 17 3 3 Melanie 19 7 4 Patrick 12 3 3 Isabelle 18 2. 1 Victor 23 4 a) What is the main question being asked? (2 points) b) What kind of test would you need to run? (2 points) c) What is the independent variable (or factor)? (2 points) d) What is the dependent variable? (2 points) e) What is the statistical notation (for some types of tests, this answer should include the post-hoc notations AS WELL as the overall statistical notation)? (3 points) f) Report statistical significance (for some types of tests, this answer should include the post-hoc significance AS WELL as the overall significance) (2 points) e) What are the means that should be reported (If this is an ANOVA/factorial please include all means to be reported)? (2 points) h) What is the complete interpretation (in order to receive full credit you need to include all statistical notation as well as an interpretation of what they mean in context) (8 points) 1) What is the overall interpretation (summarize in 1-2 sentences)? (2 points) I Question #2 Dr. Brian Noggin is interested in the effect of different types of persuasive messages on a person's willingness to engage in socially conscious behaviors. Dr. Noggin randomly assigns 7 participants to one of three different message groups: Fear Invoking message, Guilt message, and Information Laden message. After listening to each message, each participant rates how persuasive the message was on a scale of 1-7 (1 - very NOT persuasive and 7 = very persuasive). Do the messages differ in persuasiveness? (25 points) Guilt message Fear Invoking message 3 4 1. 2 4 2 5 Information Laden message 7 7 5 7 3 4 1 6 3 4 6 6 4 a) What is the main question being asked? (2 points) b) What kind of test would you need to run? (2 points) c) What is the independent variable(s) (or factor)? (2 points) d) What is the dependent variable? (2 points) e) What is the statistical notation (for some types of tests, this answer should include the post-hoc notations AS WELL as the overall statistical notation)? (3 points) 1) Report whether findings are significant or not significant and how you know (for some types of tests, this answer should include the post-hoe significance AS WELL as the overall significance) (2 points) el What are the means that should be reported (If this is an ANOVA factorial please include all means to be reported)? (2 points) h) What is the complete interpretation (in order to receive full credit you need to include all statistical notation as well as an interpretation of what they mean in context) (8 points) ) What is the overall interpretation (summarize in 1-2 plain English sentences)? (2 points) Question #3) In order to better prepare for her 8:00am classes, a statistics student designs an experiment to see how various strategies improve test scores. Completing homework assignments and eating a good breakfast are often said to be good ways to improve focus for class. She assigns half of her students homework assignments to practice and half no additional homework assignments. Within these groups, half of the participants are instructed to eat a balanced breakfast the morning of the test and the other half are asked to skip breakfast. She then measures exam performance on a test with scores ranging from 1-10. (25 points) Eating Breakfast No Homework 7 3 6 7 Homework 8 10 10 9 8 8 10 7 6 7 9 8 8 4 6 6 7 9 6 9 7 8 Skipping Breakfast 8 a) What is the main question being asked? (2 points) b) What kind of test would you need to run? (2 points) c) What is the independent variable (8) (or factor)? (2 points) d) What is the dependent variable? (2 points) e) What is the statistical notation (for some types of tests, this answer should include the post-hoc notations AS WELL as the overall statistical notation)? (3 points) ) Report statistical significance (for some types of tests, this answer should include the post-hoc significance AS WELL as the overall significance) (2 points) B) What are the means that should be reported (If this is an ANOVA/factorial please include all means to be reported)? (2 points) h) What is the complete interpretation (in order to receive full credit you need to include all statistical notation as well as an interpretation of what they mean in context) (8 points) 1) What is the overall interpretation (summarize in 1-2 sentences)? (2 points) For extra credit, create a graph of the mixed factorial ANOVA (5 extra credit points), please copy and paste graph below