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https://github.com/saniyaabushakimova/rigorous-modeling-techniques-for-estimating-student-reaction-times

This project uses the Reaction Time Survey dataset to develop a linear regression model for accurately predicting student reaction times based on various predictors. Tech: R (RStudio)
https://github.com/saniyaabushakimova/rigorous-modeling-techniques-for-estimating-student-reaction-times

exploratory-data-analysis hypothesis-testing lasso model-diagnostics multiple-linear-regression r vif

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This project uses the Reaction Time Survey dataset to develop a linear regression model for accurately predicting student reaction times based on various predictors. Tech: R (RStudio)

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README

          

Project completed on May 16, 2024.

## Project description

Using Reaction Time Survey dataset conduct a rigorous regression modeling and analysis to estimate student reaction times. The project outline is as follows (more details in `project_report.pdf`):

1. Abstract
2. Exploratory Data Analysis (EDA) \
2.1. Data Understanding \
2.2. Data Insights \
2.3. Data Pre-processing
3. Model Building \
3.1. Variable Selection and Model Fitting \
3.2. Diagnostics and Remedies \
a) Unusual observations \
b) Error assumptions \
c) Structure assumptions
5. Model Comparison and Selection \
4.1. A model with an interaction term \
4.2. LASSO Regression
6. Discussion of Results and Conclusion \
5.1. Summary \
5.2. Challenges and Next Steps \
5.3. Reflection on Lessons Learned

## Regression Analysis tools used in this project
- Adjusted R^2
- VIF
- Pearson correlation
- ANOVA
- Cramer's V association
- Forward variable selection
- Lasso Regression
- Diagnostics/Remedies
- Mahalanobis Distance
- Studentized Residual Test
- Cook's Distance
- Q-Q plot / Shapiro-Wilk Test
- Residuals vs Fitted plot / Breusch-Pagan Test
- Residuals vs Index plot / Durbin-Watson Test
- Added-Variable plots
- Box-Cox transformation

## Other details

`survey.csv` -- raw dataset \
`survey_postEDA.csv` -- dataset after cleaning and preprocessing