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Showing 91 - 100 of 102 results

P-value Optimization

  • Professor
    Stephan Morgenthaler
  • Course
    MSE-213 Applied Biostatistics
  • Kernel
    R
  • Type
    Demonstrations in class
  • Language
    English
  • Description
    This 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
  • Course
    MSE-213 Applied Biostatistics
  • Kernel
    R
  • Type
    Demonstrations in class
  • Language
    English
  • Description
    This 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
  • Course
    MSE-213 Applied Biostatistics
  • Kernel
    R
  • Type
    Demonstrations in class
  • Language
    English
  • Description
    This 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
  • Course
    MSE-213 Applied Biostatistics
  • Kernel
    R
  • Type
    Demonstrations in class
  • Language
    English
  • Description
    This 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
  • Course
    MSE-213 Applied Biostatistics
  • Kernel
    R
  • Type
    Demonstrations in class
  • Language
    English
  • Description
    This 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
  • Course
    MSE-213 Applied Biostatistics
  • Kernel
    R
  • Type
    Demonstrations in class
  • Language
    English
  • Description
    This 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
  • Course
    MSE-213 Applied Biostatistics
  • Kernel
    R
  • Type
    Demonstrations in class
  • Language
    English
  • Description
    This 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
  • Course
    MSE-213 Applied Biostatistics
  • Kernel
    R
  • Type
    Demonstrations in class
  • Language
    English
  • Description
    This 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
  • Course
    MSE-213 Applied Biostatistics
  • Kernel
    R
  • Type
    Demonstrations in class
  • Language
    English
  • Description
    This 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
  • Course
    MSE-213 Applied Biostatistics
  • Kernel
    R
  • Type
    Labs, projects
  • Language
    English
  • Description
    This 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

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