Skip to content
Back to Explore courses
PricingLog in

Probability and Statistics

With Zoonk, your plan starts at your level and fits your schedule.

Build my plan

Start free, no account needed.

Course outline

18 chapters · 100 lessons written so far
BeginnerNot written yet. Zoonk writes its chapters as learners reach it.
IntermediateConditional probability and evidence · Discrete probability models · Continuous probability models18 chapters
  1. 1

    Conditional probability and evidence

    Conditional probability · Independence and mutual exclusion · The law of total probability · Bayes’ theorem and diagnostic tests · The multiplication rule · Challenge: Conditional probability and evidence

  2. 2

    Discrete probability models

    Discrete probability distributions · Binomial distribution · Hypergeometric distribution · Geometric distribution · Poisson distribution · Challenge: Discrete probability models

  3. 3

    Continuous probability models

    Continuous densities and distribution functions · Uniform distribution · Normal distribution and standardization · Exponential waiting times · Choosing continuous distributions · Challenge: Continuous probability models

  4. 4

    Multiple random variables

    Joint and marginal distributions · Conditional distributions · Covariance and correlation · Linear combinations of random variables · Transformations of random variables · Challenge: Multiple random variables

  5. 5

    Data summaries and sampling

    Numerical summaries · Distribution plots and outliers · Sampling methods and selection bias · Measurement variation · Challenge: Data summaries and sampling

  6. 6

    Sampling distributions

    Sampling distributions · Standard error of the mean · The central limit theorem · The t distribution · Challenge: Sampling distributions

Show 12 more chapters
  1. 7

    Estimation and confidence intervals

    Estimator bias and precision · Confidence interval for a mean · Confidence interval for a proportion · Confidence interval interpretation · Sample size for estimation · Challenge: Estimation and confidence intervals

  2. 8

    Hypothesis testing

    Null and alternative hypotheses · P-values and significance · One-sample t test · Test errors and power · Effect size and practical significance · Challenge: Hypothesis testing

  3. 9

    Comparing groups and categorical data

    Independent two-sample mean comparisons · Paired mean comparisons · Two-proportion comparisons · Chi-square test of independence · Sparse counts and exact tests · Challenge: Comparing groups and categorical data

  4. 10

    Design of experiments

    Experiments and observational studies · Randomization and replication · Blocking · Factorial designs and interactions · Challenge: Design of experiments

  5. 11

    Analysis of variance

    One-way ANOVA · ANOVA assumptions · Multiple comparisons · Two-factor ANOVA · Challenge: Analysis of variance

  6. 12

    Simple linear regression

    Simple linear regression · Least squares and residuals · Inference for a regression slope · Mean response and prediction intervals · Regression diagnostics · Challenge: Simple linear regression

  7. 13

    Multiple regression

    Multiple linear regression · Categorical predictors and interactions · Multicollinearity and influence · Regression model comparison · Extrapolation and prediction limits · Challenge: Multiple regression

  8. 14

    Resampling and nonparametric inference

    Bootstrap confidence intervals · Permutation tests · Rank-based tests · Resampling and dependence · Challenge: Resampling and nonparametric inference

  9. 15

    Reliability and lifetime models

    Survival and reliability functions · Hazard rates · Weibull lifetime model · Series and parallel reliability · Censored lifetime data · Challenge: Reliability and lifetime models

  10. 16

    Statistical process monitoring

    Sources of process variation · Control charts · Process capability · Autocorrelation in process data · Challenge: Statistical process monitoring

  11. 17

    Bayesian inference

    Prior, likelihood, and posterior · Beta-binomial updating · Credible intervals · Prior sensitivity · Challenge: Bayesian inference

  12. 18

    Statistical analysis with Python

    Reproducible data summaries · Confidence intervals in software · Regression analysis in software · Checking AI-assisted statistical analysis · Challenge: Statistical analysis with Python

AdvancedNot written yet. Zoonk writes its chapters as learners reach it.

Start today, at your level

A few quick questions, then your plan and your first lesson.

Build my plan

Start free, no account needed.