ANOVA & Correlation SPSS Instructions How to Run a One-Way ANOVA in SPSS Your data should have at least 2 variables (your IV and DV). - Your IV should have at least 3 groups - Your DV should be continuous (interval/ratio scale) Click AnalyzeCompare MeansOne-Way ANOVA In the dialog box: - Put your DV in the \"Dependent List\" box - Put your IV in the \"Factor\" box - Click the \"Post hoc\" button and choose one (usually LSD for this class) and click Continue - Click the \"Options\" button and choose \"Descriptive\PSY 07202 Statistics in Psychology Assignment 15: SPSS Assignment 3 This assignment is designed to give you practice choosing the appropriate test statistic and calculating that test statistic using SPSS. You will get practice running one-way and two-way ANOVAs along with correlations. You will need to run the proper analysis to test each hypothesis, answer the questions, copy your output under each question, and type the answers to the questions in this file. Please submit the completed assignment to Assignment 15 labeled as lastname_Assignment15 as a .doc, .docx, or .pdf file. PART I: ANOVAs For this part, use the SPSS data set called HSdata.sav located in the Modules section. This data file contains 200 observations from a sample of high school students with demographic information about the students (gender, socio-economic status, ethnic background) as well as their scores on standardized tests of reading, writing, mathematics, and social studies (you used this data set for Assignment 11). Study 1: You would like to see if there is a significant difference in writing scores based on the student's socioeconomic status. Test this hypothesis using the data provided (make sure you do the appropriate post-hoc tests). a. b. c. d. Proper test statistic: Identify the independent variable: Identify the dependent variable: State null and alternative hypotheses: Perform the proper ANOVA using SPSS and copy and paste the output into this file. Make sure to select a posthoc test, and under Options, select Descriptives and Homogeneity Tests. e. On the ANOVA table, circle or highlight the MSwithin and MSbetween and put them into an F ratio as if you were calculating it by hand. f. Is there a difference in writing scores between the different socio-economic statuses? If yes, which levels are different from each other based on the post hocs? g. Write a sentence or two below describing the results of the statistical test using APA style. Include any differences seen in the post hocs and all sample means and standard deviations (for each of the groups). See Chapter 11 for APA guidelines. Study 2: You would like to see if math scores are related to the type of program the student is in, ethnicity, or an interaction between the two variables. Use the data provided to test this hypothesis. a. b. c. d. Proper test statistic: Identify the independent variable(s): Identify the dependent variable: State the 3 sets of null and alternative hypotheses (one for each of your main effects and one for the interaction): Perform the proper ANOVA using SPSS and copy the output under the question. Follow the instructions in the ANOVA SPSS PowerPoint for all of the options in the dialog box. For Plots, use ethnicity on the horizontal axis, type of program as separate lines. e. On the ANOVA table, circle the 4 relevant MS values (one for each main effect, one for the interaction, and one for the error term) and put them into F ratios as if you were calculating your 3 F ratios by hand. f. In this type of analysis, if you have a significant interaction, you should focus on that. Is your interaction significant? Does this match up with what you see in the plot? g. Write a few sentences describing the results of the statistical test using APA style. Make sure to create a table of your M & SD for each of the groups (see Chapter 12 for APA guidelines). PART II: CORRELATIONS For this part, you will be using the data file called cars.sav, located in the Modules section. This data set contains information about 406 different cars. It includes information about each car's miles per gallon, engine displacement, horsepower, weight, time to accelerate to 60mph, year, origin, and the number of cylinders. Use this data file to answer questions about the relationship between those variables. 1. Run correlations on the following variables: mpg, engine, horse, weight. a. What is the correlation (r value) between each of the different relationships (hint: there should be 6 different relationships). b. Which of these relationships are significant? c. Write up 6 different sentences in APA style to report the results of these relationships. 2. Run another correlation, this time using mpg, time to accelerate, and model year. a. What is the correlation (r value) between each of the different relationships (hint: there should be 3 different relationships). b. Which of these relationships are significant? c. Describe what the correlation between mpg and model year means in simple English. Does this relationship make sense? d. Describe what the correlation between mpg and time to accelerate means in simple English. Does this relationship make sense? 3. Make a scatter plot of the relationship between time to accelerate and horsepower. Put horsepower on the X axis and accelerate on the Y axis. a. Does the scatterplot match up with your result from Question 1? b. What is the linear regression equation for this relationship? c. 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