Statistical Methods & Thinking

Weijing Wang @ NYCU
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The materials in this podcast are generated by NotebookLM based on the lecture notes of the course Applied Statistical Methods, offered at NYCU and taught by Weijing Wang. The podcast covers core methods for analyzing associations in data, including correlation analysis, simple and multiple linear regression (estimation, testing, and model checking), and discussions on association versus causation. It also introduces methods for categorical data analysis such as contingency tables, chi-square tests, logistic regression, and the generalized linear model framework.

  1. Episode 13 | Survival Analysis: Making Sense of Time-to-Event Data

    6 DAYS AGO

    Episode 13 | Survival Analysis: Making Sense of Time-to-Event Data

    In this episode, we introduce the core ideas behind analyzing time-to-event data—situations where the outcome isn’t just “what happened,” but when it happened. A key challenge is that some participants haven’t experienced the event yet by the end of follow-up (or they drop out), so the data are only partially observed. We build the intuition for describing how risk changes over time, then walk through three practical tools: how to estimate a survival curve from one group, how to compare two groups fairly over the whole follow-up, and how to study the role of multiple predictors while keeping the time dimension front and center.

    42 min
  2. Episode 12 | Clustering and Classification: Finding Structure in Data

    6 DAYS AGO

    Episode 12 | Clustering and Classification: Finding Structure in Data

    In this episode, we step into multivariate thinking and ask a practical question: when do data points naturally form “groups,” and how can we use those groups to make decisions?We walk through how grouping methods decide what’s “close” or “similar,” then compare two main approaches—building clusters step by step versus forming clusters all at once. You’ll also hear how tree-like visual summaries help us see structure in messy data, and how the same multivariate ideas can be flipped into classification, where the goal is to assign a new case to the most likely group.

    39 min
  3. Episode 11 | Finding Structure in Multivariate Data

    6 DAYS AGO

    Episode 11 | Finding Structure in Multivariate Data

    This episode is about what to do when your data has many variables at once. We start with the basic idea of how variables “move together” (correlation and covariance), and why that matters for understanding patterns in real datasets. Then we introduce dimension reduction—ways to compress lots of information into a few summary features, so you can see the main structure without getting lost in details. We explain how these methods find the directions where the data varies most, and how a simple “rotation” can make the results easier to interpret. We wrap up with practical rules of thumb for deciding how many components to keep, and a quick preview of how these ideas connect to grouping similar observations and classifying new cases.

    45 min
  4. Episode 10 | From Chi-Square to GLMs: Beyond Linear Regression

    2 FEB

    Episode 10 | From Chi-Square to GLMs: Beyond Linear Regression

    This episode is about working with categorical outcomes—questions where results fall into categories rather than a numeric scale. We learn how to check whether two variables are related, how to model the chance of a “yes/no” outcome using multiple predictors, and how to compare different modeling choices. We finish with simple ways to judge how well a model fits and whether a simpler or more detailed model is the better choice.

    37 min
  5. Episode 9 | Categorical Data in Practice: Measures of Association, and Simpson’s Paradox

    2 FEB

    Episode 9 | Categorical Data in Practice: Measures of Association, and Simpson’s Paradox

    In this episode, we start with Fisher’s “Lady Tasting Tea”—a classic reminder that good questions need good experimental design. Then we shift from continuous outcomes to categorical data: how a simple 2×2 table turns test results into sensitivity/specificity, and study results into association measures like relative risk and odds ratios.Next, we unpack Simpson’s paradox—how the headline conclusion can flip once you stratify by a key factor. We wrap up with practical inference tools, including Fisher’s exact test and the chi-square test, plus a quick nod to ROC/AUC for evaluating classifiers.

    42 min
  6. Episode 8 | Two-Way ANOVA and Beyond

    1 FEB

    Episode 8 | Two-Way ANOVA and Beyond

    This episode moves from one-way ANOVA to two-factor randomized experiments, focusing on how to test main effects and, more importantly, interactions—when the effect of one factor depends on the level of the other. Using examples like printer sales and a fish reproduction index, we show how ANOVA partitions variation and supports hypothesis testing. We also give a quick tour of extensions including random-effects and mixed-effects models, plus ANCOVA for adjusting with covariates. In the second half, we shift to study design in biomedicine—contrasting prospective vs. retrospective data collection—and close with a short introduction to categorical data analysis and basic concepts in clinical trials.

    37 min
  7. Episode 7 | Design of Experiments

    1 FEB

    Episode 7 | Design of Experiments

    This episode introduces the core logic of experimental design and ANOVA: what we mean by causality, factors, and confounders—and why randomization, replication, and blocking are the practical tools that make comparisons fair. We build the one-way ANOVA model, run the hypothesis test in R, and discuss multiple comparisons and how to control Type I error. We also connect ANOVA to regression, highlight R.A. Fisher’s role in modern statistics, and close with randomized block designs to improve precision by accounting for nuisance variation.

    31 min
  8. Episode 6 | Model Selection Strategies

    1 FEB

    Episode 6 | Model Selection Strategies

    Episode 6 is about making multiple regression work in real life: how to choose predictors without overfitting, when to transform variables to fix messy variance or nonlinearity, and what to do when predictors are strongly correlated. We’ll walk through tools like Mallows’ Cp, partial F tests, and stepwise selection, then wrap up with ridge and lasso as practical fixes for multicollinearity—with quick examples along the way.

    38 min
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About

The materials in this podcast are generated by NotebookLM based on the lecture notes of the course Applied Statistical Methods, offered at NYCU and taught by Weijing Wang. The podcast covers core methods for analyzing associations in data, including correlation analysis, simple and multiple linear regression (estimation, testing, and model checking), and discussions on association versus causation. It also introduces methods for categorical data analysis such as contingency tables, chi-square tests, logistic regression, and the generalized linear model framework.

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