1 Homework 2: One-Way ANOVA Analysis
1.1 Objective
This assignment aims to guide students through the complete process of conducting a One-Way ANOVA, ensuring they understand the fundamental assumptions, hypothesis formulation, statistical execution, and interpretation of results.
1.2 Instructions
- Dataset Selection
- Choose an appropriate dataset containing at least one categorical independent variable (with at least three levels) and one continuous dependent variable (DV).
- Provide a brief description of the dataset, including its source and relevant background information.
- Research Question and Hypothesis
- Clearly state your research question.
- Formulate both the null and alternative hypotheses.
- Assumption Checking
- Evaluate ANOVA assumptions (normality, homogeneity of variance, and independence).
- Provide diagnostic plots and justify whether the assumptions are met.
- ANOVA Execution
- Conduct a One-Way ANOVA using R.
- Report the ANOVA table and interpret the results.
- Post-Hoc Analysis and Contrasts
- Perform an omnibus test to assess the overall significance.
- Design and test planned orthogonal contrasts.
- If necessary, conduct post-hoc pairwise comparisons.
- Effect Size Calculation
- Compute and report an appropriate effect size (e.g., eta-squared or omega-squared).
- Results and Interpretation
- Summarize key findings in a concise and structured format.
- Interpret statistical significance, effect size, and practical implications.
- R Code Submission
- Include well-documented R code for all analyses.
1.3 Submission Requirements
- Submit a 2-3 page document (excluding references) consisting of:
- A 1-page report summarizing the analysis and findings.
- 1-2 pages of R code with comments explaining key steps.
1.4 Evaluation Criteria
Your submission will be evaluated based on the following criteria through AI-assisted and peer review:
- Coverage (30%): Completeness of the analysis, ensuring all required components are addressed.
- Structure and Clarity (40%): Logical organization, coherence, and readability of the report.
- Statistical and Coding Accuracy (30%): Correct use of R functions and appropriate interpretation of results.
2 Guideline for peer review
Evaluate the student’s One-Way ANOVA assignment based on the following criteria. Provide a score ranging from 0.0 to 10.0 for each criterion, using the following scale:
- 1.0 - 3.9 (Not Okay): Significant issues, missing key components, incorrect methodology, or poor presentation.
- 4.0 - 5.9 (Okay): Some correct elements, but lacks clarity, has errors, or is incomplete.
- 6.0 - 8.9 (Satisfied): Mostly correct and well-structured, with minor issues or room for improvement.
- 9.0 - 10.0 (Perfect): Excellent execution with clear, correct, and well-documented work.
Score_{Peer1} = Coverage * .3 + Structure * .4 + Coding * .3
Score_{HW2} = \frac{Score_{AI}+Score_{Peer1}+Score_{Peer2}}{3}