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P-value Optimization
- Professor Stephan Morgenthaler
- CourseMSE-213 Applied Biostatistics
- Kernel R
- Type Demonstrations in class
- Language English
- DescriptionThis notebook demonstrates how repeated hypothesis testing can be manipulated to obtain statistically significant results by chance, a practice known as p-hacking. Students will understand why p-value optimization undermines scientific integrity and how to avoid it.
- p-hacking
- Statistical significance
- Multiple testing
- Research ethics
Lecture 3: The Binomial Distribution
- Professor Stephan Morgenthaler
- CourseMSE-213 Applied Biostatistics
- Kernel R
- Type Demonstrations in class
- Language English
- DescriptionThis notebook introduces the binomial distribution and its properties. Students will learn how to compute binomial probabilities, visualize the distribution, and apply it to real-world counting problems in statistics.
- Binomial distribution
- Probability distribution
- Discrete distribution
- R programming
Confidence Intervals in Linear Regression
- Professor Stephan Morgenthaler
- CourseMSE-213 Applied Biostatistics
- Kernel R
- Type Demonstrations in class
- Language English
- DescriptionThis notebook explores confidence intervals for the slope and intercept of a linear regression model. Students will learn how to compute and interpret confidence bounds, understanding their role in quantifying uncertainty in regression estimates.
- Confidence interval
- Linear regression
- Parameter estimation
- Uncertainty quantification
The Central Limit Theorem
- Professor Stephan Morgenthaler
- CourseMSE-213 Applied Biostatistics
- Kernel R
- Type Demonstrations in class
- Language English
- DescriptionThis notebook illustrates the Central Limit Theorem by sampling from various distributions and observing the convergence of sample means to a normal distribution. Students will gain an intuitive understanding of this foundational theorem in probability and statistics.
- Central limit theorem
- Normal distribution
- Sampling distribution
- Probability theory
The t-Distribution and Comparison with the Normal Distribution
- Professor Stephan Morgenthaler
- CourseMSE-213 Applied Biostatistics
- Kernel R
- Type Demonstrations in class
- Language English
- DescriptionThis notebook visualizes the t-distribution and compares it to the standard normal distribution for different degrees of freedom. Students will understand when to use the t-distribution instead of the normal distribution in statistical inference.
- Student's t-distribution
- Normal distribution
- Degrees of freedom
- Statistical inference
The Chi-Squared Test
- Professor Stephan Morgenthaler
- CourseMSE-213 Applied Biostatistics
- Kernel R
- Type Demonstrations in class
- Language English
- DescriptionThis notebook introduces the chi-squared test for assessing goodness of fit and testing independence between categorical variables. Students will learn how to compute the chi-squared statistic and interpret the results using p-values.
- Chi-squared test
- Goodness of fit
- Categorical variable
- Hypothesis testing
Linear Regression on a Parabolic Relationship
- Professor Stephan Morgenthaler
- CourseMSE-213 Applied Biostatistics
- Kernel R
- Type Demonstrations in class
- Language English
- DescriptionThis notebook explores fitting a linear regression model to data generated by a quadratic (parabolic) relationship. Students will learn about model misspecification, polynomial feature engineering, and how to evaluate the fit of regression models.
- Linear regression
- Polynomial regression
- Model misspecification
- Feature engineering
2 Independent Sample Test for the Mean (2-sample t-test)
- Professor Stephan Morgenthaler
- CourseMSE-213 Applied Biostatistics
- Kernel R
- Type Demonstrations in class
- Language English
- DescriptionThis notebook introduces the two-sample t-test for comparing the means of two independent groups. Students will learn the assumptions behind the test, how to compute the test statistic, and how to interpret p-values in the context of hypothesis testing.
- Student's t-test
- Hypothesis testing
- Statistical significance
- p-value
Analysis of Variance (ANOVA): Pizza Case Study
- Professor Stephan Morgenthaler
- CourseMSE-213 Applied Biostatistics
- Kernel R
- Type Demonstrations in class
- Language English
- DescriptionThis notebook demonstrates one-way ANOVA through a practical case study comparing taste ratings across multiple groups. Students will learn how to set up the ANOVA test, interpret the F-statistic, and draw conclusions about group differences.
- Analysis of variance
- F-test
- Statistical significance
- Group comparison
Building Your Own Estimator
- Professor Stephan Morgenthaler
- CourseMSE-213 Applied Biostatistics
- Kernel R
- Type Labs, projects
- Language English
- DescriptionThis notebook guides students through implementing custom parameter estimators from scratch. Students will understand how estimator functions work, how to evaluate their performance, and compare them against standard statistical estimators.
- Parameter estimation
- Statistical estimator
- Bias-variance tradeoff
- R programming