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Applied Statistics: Simulation Studies

This project contains elaborate examples of common statistical models using simulated data from hypothetical studies. Each markdown simulates, visualizes, and models the data. These steps are followed by an easily-understandable interpretation of the results in terms of the study.

I started writing these markdowns to demonstrate how different models can be used to test hypotheses

Multilevel modeling

  • Does exercise affect the brain's response to uncontrollable stress?
  • Does a subject's sex affect the brain's response to uncontrollable stress?
  • Does the effect of exercise depend on the subject's sex?

Regression

  • How does adjusting the price of a product affect the quantity sold?

Multiple

  • Does a company's weight loss product significantly decrease weight after controlling for height and gender?
  • Do longer allocated loan repayment periods increase the odds of making the first 6 months of payments on-time?
  • Is there a difference between the 2 longer pay periods?

Poisson

  • What is the relationship between a team's win-loss ratio and the number of touchdowns they score?

Survival

  • How do we predict the number of days customers will go between visits?

ANOVA

  • Does introducing an at-work socialization period affect employee satisfaction ratings?
  • Is drug treatment effective in treating social anxiety?
  • Is one drug more effective than the other?

Two-way/Factorial

see: multilevel factorial section

Repeated measures (mixed ANOVA)

  • How does being a weekday or weekend impact attendance of an art showcase?
  • Does attendance differ between any of the 3 months?

Misc

Transformations

  • Logit and probit
  • Ladder of powers

Normalization and Standardizing

  • z-scores (standard)
  • z-scores (with time series)

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Application of common statistical methods using hypothetical scenarios and data

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