Statistics Question

PSY 320L – Statistical Methods in Psychology Professor Alsalloom Exam 3 ANOVA and ANOVA Design Do not post answers publicly on Discord. If you are caught doing so, you will be penalized for academic dishonesty. By typing your name here, you certify that the work you are submitting is a result of your own work and your own critical thinking. Name: I worked in a group that included the students named below: Name: Name: Name: Name: Name: PSY 320L – Statistical Methods in Psychology Professor Alsalloom One-Way ANOVA Dr. Rentfrow is a personality researcher, and he was curious about whether personality traits in the US differed by geographic region. He decided to break the US down into four quadrants, the Northeast (NE, n = 12), Midwest (MW, n = 9), South (S, n = 16), and West (W, n = 12), and collected a small convenience sample from each region (N = 49). He collected data from the Big Five Inventory (BFI) of personality traits: Openness, Conscientiousness, Extraversion, Agreeableness, Neuroticism – or OCEAN for short. For this particular analysis, his research question is: Are people from some regions more agreeable than others? Dr. Rentfrow’s hypothesis is, yes; he thinks there will be a difference in Agreeableness scores among the four different regions. To test his hypothesis, Dr. Rentfrow conducted a Between Subjects One-Way Analysis of Variance using SPSS v. 29. His independent variable (IV) was Region, and his dependent variable (DV) was Agreeableness. Please read the output document: OneWayANOVA.pdf and answer the following questions. Fill out this table What is the design of this study? What is the DV? What is the IV How many levels does the IV have? What is the null hypothesis? Report the Descriptive Statistics M SD Northeast Midwest South West Report the test statistics Was the test significant? Can Dr. Rentfrow reject the null hypothesis? F p 𝜼𝟐 PSY 320L – Statistical Methods in Psychology Professor Alsalloom Should Dr. Rentfrow conduct a posthoc analysis? (HINT: The answer is YES). If yes, what kind of post-hoc analysis should he run? Choose between Tukey HSD and Fischer’s LSD. • If you are choosing Tukey HSD, observe the following output. • If you are choosing Tukey HSD, observe the following output. Write a complete APA style report including the kind of post-hoc analysis you did if you decided to do one. OneWayTukey.pdf OneWayLSD.pdf Factorial ANOVA Concepts Answer the following questions about Factorial ANOVA Design 1. How many factors do the following experimental designs have, based on their factorial notation? 2×2 3×3 2x2x2 2x2x2x4 2. Explain clearly, in whatever way is most convenient to you, how many levels does each of these experimental designs have per factor 2×2 3×3 2x2x2 PSY 320L – Statistical Methods in Psychology Professor Alsalloom 2×3 3. How many experimental conditions are there in these factorial Designs 2×2 2×3 3×3 2x2x2 Two-Way ANOVA Dr. Williams is doing a series of studies on anxiety surrounding public speaking and recruited students from three different universities: CSULA (N = 4), CSUN (N = 4), and CSUDH (N = 4). He randomly divided his participants so that they were placed in a social support intervention (N = 6) or a no social support condition (N = 6). He wanted to know if there might be a difference in public speaking anxiety based on University Affiliation and if Social Support would significantly decrease Anxiety around public speaking. Please read the output document: TwoWayANOVA.pdf and answer the following questions. Fill out this table How would you notate this study in factorial notation? Is the design between subjects, within subjects, or mixed? What is the DV? What is IV 1? How many conditions does it have? What would be the null hypothesis for this factor? What is IV 2? How many conditions does it have? What would be the null hy What is the null hypothesis? Report the Descriptive Statistics CSULA M SD PSY 320L – Statistical Methods in Psychology Professor Alsalloom CSUN CSUDH Social Support No Social Support F Report the test statistics p 𝜼𝟐 IV 1: IV 2: IV1*IV 2: Which tests were significant, and which were not? Should Dr. Williams conduct a posthoc analysis? (There is no hint for this one) If yes, observe the post-hoc analysis results in this document: TwoWayANOVAPostHoc.pdf Write a complete APA style report including the kind of post-hoc analysis you did if you decided to do one. Interaction Effects: In the table below, you will be presented with three different kinds of interaction effects. In the cell below each graph, please write a description of the interaction effect. You may follow the example in the first row below. You may use your own words and style, just make sure you are accurate and concise. Dr. Katz is a veterinary nutritionist who does experiments to see what kinds of pet treats can be used for both cats and dogs. His dependent variable is a “Liking” score which he measures as the number of treats that the animal eats. He prefers to test two brands at a time and PSY 320L – Statistical Methods in Psychology Professor Alsalloom to be blind to the name of the brand. He labels his first factor as Brand: Brand A vs Brand B. His second factor is Species: Cat vs Dog. He measures Liking on a scale from 0 to 50. Example: There was a significant interaction such that there was no difference in liking between cats and dogs in Brand A, but dogs liked Brand B significantly more than cats did. PSY 320L – Statistical Methods in Psychology Professor Alsalloom 1. PSY 320L – Statistical Methods in Psychology Professor Alsalloom 2. PSY 320L – Statistical Methods in Psychology Professor Alsalloom 3. 2×2 Repeated Measures ANOVA Two-Way Repeated Measures ANOVA Dr. Chung is doing a marketing study where he is interested in the effect of time pressure and product description length on consumer buying interest. His first IV is Timing: 1 = Untimed, 2 = Timed. His second IV is Length: 1 = Short, 2 = Long. His DV is consumer interest. His hypothesis for Timing is that consumers will be more interested in the Timed condition because he believes time pressure makes people more interested. His hypothesis for the Length condition is that Long descriptions will lead to more consumer interest than short descriptions. He hypothesizes that people in the Timed condition will have more interest for Longer description items than Short description items. Please read the output document: RmANOVA.pdf and answer the following questions. Fill out this table How would you notate this study in factorial notation? PSY 320L – Statistical Methods in Psychology Professor Alsalloom Is the design between subjects, within subjects, or mixed? What is the DV? What is IV 1? How many conditions does it have? What would be the null hypothesis for this factor? What is IV 2? How many conditions does it have? What would be the null hypothesis for this factor? Report the Descriptive Statistics M SD UntimedShort UntimedLong TimedShort TimedLong Timed Untimed Long Short Report the test statistics Timing: Length: Timing*Length: Which tests were significant, and which were not? Should Dr. Chung conduct a post-hoc analysis? F p 𝜼𝟐 PSY 320L – Statistical Methods in Psychology Professor Alsalloom (There is no hint for this one) If yes, observe the post-hoc analysis results in this document: RmANOVAPostHoc.pdf *Note: If you report a t-test may perform a Bonferroni correction for 2 post-hoc comparisons so that your .05 𝛼 = 2 = .025. This means your criteria for a significant result is .025 instead of .05. Write a complete APA style report including the kind of post-hoc analysis you did if you decided to do one. 2×2 Mixed Design ANOVA Two-Way Mixed Design ANOVA Dr. George is doing a music cognition study to test the effect of musical tempo on memory for words. His between subjects variable is Musical Tempo: 1 = Fast, 2 = Slow. His repeated measures variable is Mode of Presentation: 1 = Visual, 2 = Spoken. The dependent variable is word memory. His hypothesis is that people listening to slow music will have an easier time remembering words and there should be no effect of visual or spoken mode of presentation. Please read the output document: MixedANOVA.pdf and answer the following questions. Fill out this table How would you notate this study in factorial notation? Is the design between subjects, within subjects, or mixed? What is the DV? What is IV 1? How many conditions does it have? PSY 320L – Statistical Methods in Psychology Professor Alsalloom Is it between subjects or within subjects? What would be the null hypothesis for this factor? What is IV 2? How many conditions does it have? Is it between subjects or within subjects? What would be the null hypothesis for this factor? Report the Descriptive Statistics M SD Visual List Spoken List Fast Music Tempo Slow Music Tempo Visual List Fast Music Visual List Slow Music Spoken List Fast Music Spoken List Slow Music F Report the test statistics Mode: Tempo: Tempo*Mode: Which tests were significant, and which were not? Should Dr. George conduct a posthoc analysis? (Hint: The answer is NO) p 𝜼𝟐 PSY 320L – Statistical Methods in Psychology Professor Alsalloom Write a complete APA style report including the kind of post-hoc analysis you did if you decided to do one.

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