Most of the analysis has already been run via SPSS. I did not do Question #10 as I did not understand it. There are 10 questions for this assignment. Most of the questions have been answered in short hand. I need more in-depth responses to reflect understanding of material.
ASSIGNMENT 5 1 Assignment 5: Analysis of Variance CES 714 Advanced Statistics Assignment 5 – 20 points Analysis of Variance Please, conduct Two-Way ANOVA with provided file for Assignment 5. Please, submit your SPSS and Word files when you submit your assignment. DEFINITION OF ANOVA: 2-Way Factor Analysis DV = DEPRESSIONsubDASS from DASS Scale4 DEPR ESS is made up of the following individual questions in the DASS scale questionnaire: , 5, 10, 13, 16, 17, 21C SIV1 (or Factor 1) = Sex_Gender (level = Male, Female, Trans) IV2 (or Factor 2) = PWI_health_cat (level = low, medium, high) 1. State the purpose of your study that would be linked to your Two-Way ANOVA research question. Read class notes on how to state the purpose statement (2 points). ReseaRQ1 = Does levels of depression differ? (Only comparing mean scores across Gender groups) Ho: There is no significant difference in mean DEPRESSIONsubDASS score between Genders Ha: There is a significant difference in mean DEPRESSIONsubDASS score between Genders by Gender (male, female, trans)? RQ2 = (Only comparing mean scores across Health groups) Ho: There is no significant difference in mean DEPRESSIONsubDASS score between Health groups Ha: There is a significant difference in mean DEPRESSIONsubDASS score between Health groups Does levels of depression differ by Health? RQ3 = (Determine if mean scores across gender groups differ by health groups) Ho: There is no significant interaction in means DEPRESSIONsubDASS score between Gender and Health groups Ha: There is a significant interaction in means DEPRESSIONsubDASS score between Gender and Health groups 2. Describe your sample in a sentence format (write at least3 sentences), include demographics table for this assignment – see example provided in the assignment 5 folder (1 point). 3. State research question and two hypotheses (null and directional) for Two-Way ANOVA. Be careful to use a Two-Way ANOVA research language (3 points). RQ1 = Does depression differ by Gender? (Only comparing mean scores accross Gender groups) Ho: There is no significant difference in mean DEPRESSIONsubDASS score between Genders Ha: There is a significant difference in mean DEPRESSIONsubDASS score between Genders RQ2 = Does depression differ by Health (Only comparing mean scores across Health groups) Ho: There is no significant difference in mean DEPRESSIONsubDASS score between Health groups Ha: There is a significant difference in mean DEPRESSIONsubDASS score between Health groups RQ3 = Is there an interaction between Gender and Health (Determine if mean scores across gender groups differ by health groups) Ho: There is no significant interaction in means DEPRESSIONsubDASS score between Gender and Health groups Ha: There is a significant interaction in means DEPRESSIONsubDASS score between Gender and Health groups 4. State how your data meets the assumptions for Two-Way ANOVA. Use graphs, descriptive statistics, and additional tests (e.g., test for normality) to support your conclusions. Please, read the example of assumptions write up for that provided in assignment 5 folder (2 points). ** Tried to do log transformations for Sex/Gender variable to no avail. There is a violation of normality for levene’s test a. Interval level DV b. Normally distributed DV in each grouping · The distribution is not normal according to shapiro-wilkes, and kolmogrov smirnov · Tried to transform with log (n+1) and ln(n+1) and failed c. Equal variance in groupings (Levene’s test) d. * meet the equal variance assumption since Levene’s test is not significant 3. Equal Variance in groupings (Levene's test)n assignment 5 folder (2 points) 5. Run Two-Way ANOVA statistics and past* Paste tables in here · The main factors are both significant (p <.05) a.="" gender="" (f(1,189)="," p=".022)" b.="" pwi="" healthcat="" (f(2,189)="9/198," p="">< .001="" ·="" interaction="" of="" the="" factors="" (pwi="" healthcat="" x="" gender)="" is="" not="" significant="" (p=""> .05) · (F(2,189) = 1.398, p = .250) 6. Run a post-hoc analysis and explain what post-hoc test you chose to run and why, paste your output (2 points). · Since PWI HealthCat is significant, we ran a posthoc. We did not run a posthoc for Gender since there are only 2 groupings and there is no need. PWI HealthCat: Low - High: p < .001="" medium="" -="" high:="" p=".001" low="" -="" medium:="" not="" significant="" 7.="" report="" your="" findings="" in="" apa,="" write="" them="" up="" in="" a="" paragraph="" format="" (3="" points).="" 8.="" state="" practical="" significance="" of="" your="" test="" by="" reporting="" eta="" squared="" and="" what="" it="" means="" (2="" points)="" gender:="" η2=".028" (small="" because="" between="" .01="" and="" .06)="" pwi="" health="" cat:="" η2=".089" (medium="" because="" between="" .06="" and="" .14)="" cohen="" (1988)="" has="" provided="" benchmarks="" to="" define="" small="" (η2="0.01)," medium="" (η2="0.06)," and="" l="" effect="" size="" interpretation="" for="" η2="" large="" (η2="0.14)" effects.="" small="" (η2="" -="" .01="" to="" .06)="" medium="" (η2="0.06" to="" .14)="" large="" (η2="0.14" or="" greater)="" 9.="" state="" whether="" or="" not="" you="" retained="" your="" null="" hypothesis="" or="" rejected="" it="" (1="" point).="" main="" factors="" and="" interactions:="" ·="" for="" gender="" we="" rejected="" the="" ho:="" (f(1,189="," p=".022)" ·="" for="" pwi="" health="" category="" we="" rejected="" the="" ho;="" (f(2,189)="9.198," p="">< .001)="" ·="" for="" the="" interaction="" we="" accepted="" the="" ho="" :="" posthoc:="" ·="" for="" the="" pairs="" low="" -="" high="" (p="">< .001) and medium - high (p = .001) we reject the ho: · * for the pair low - high we accepted the ho: 10. compute the power of your test, you may use this calculator http://www.datavis.ca/online/power/ or find another one and explain what it means, see the example of power reporting in the assumptions and power write up file in the assignment 5 folder (2 points). ** did not know how to do. .001)="" and="" medium="" -="" high="" (p=".001)" we="" reject="" the="" ho:="" ·="" *="" for="" the="" pair="" low="" -="" high="" we="" accepted="" the="" ho:="" 10.="" compute="" the="" power="" of="" your="" test,="" you="" may="" use="" this="" calculator="" http://www.datavis.ca/online/power/="" or="" find="" another="" one="" and="" explain="" what="" it="" means,="" see="" the="" example="" of="" power="" reporting="" in="" the="" assumptions="" and="" power="" write="" up="" file="" in="" the="" assignment="" 5="" folder="" (2="" points).="" **="" did="" not="" know="" how="" to="">