Factorial ANOVA and ANCOVA Analysis in Educational Research: Exploring Gender, Classroom Size, and Academic Performance

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Factorial ANOVA and ANCOVA Analysis in Educational Research:Exploring Gender, Classroom Size, and Academic PerformanceFor this assignment, you are tasked with conducting a factorial ANOVA and creating a mockANCOVA output for a research project related to education. Use the provided “Activity 5.sav”dataset to analyze the impact of gender and classroom size on mathematicsscores, following thesteps outlined below:1.Exploratory Data Analysis:a. Perform exploratory data analysis for all variables, ensuring you break it down bygroup (gender and classroom size). Include graphs and visuals where appropriate.b. Write a 1-2 paragraph summary of your findings.c. Create an APA-style table presenting the descriptive statistics for the sample.2.Factorial ANOVA:a. Conduct a factorial ANOVA using the dataset.b. Analyze the main effects of gender and classroom size and explain any post hoc tests,if required.c. Investigate whether there is an interaction between gender and classroom size. If thereis, use post hoc tests to describe the differences.d. Determine if there is support for the researcher’s hypothesis that girls perform better insmaller classrooms than boys.e. Write up the results in APA style, discussing both main effects and interactions.3.Application of ANCOVA:a. Briefly restate your area of research interest.b. Identify one dependent variable and two independent variables where one of theindependent variables would likely serve as a covariate.c. Create a hypothetical ANCOVA output table and write a brief report (APA style)interpreting the results, assuming both independent variables significantly predict thedependent variable.Word Count Requirement:2000-2500 words

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