Statistics

A branch of mathematics.

Foundations

• Average Absolute Deviation

• Combinations

• Covariance Matrices

• Degrees of Freedom

• Permutations

• Mahalanobis Distance

Probability

• Bayes' Rule

• Bayesian Notation

• Conditional Probability

• Independence

• Joint Probability

• Logit

• Probability Notation

• σ Algebra Notation

• Test Statistic

Probability Distributions

• Bernoulli

• Binomial

• Chi-squared

• F

• Normal

• Student's t

• Uniform

Probability Tests

• Collinearity test

• Hosmer-Lemeshow test

• Kolmogorov-Smirnov test

• Lagrange multiplier test

• Likelihood-ratio test

• Pearson test

• Sobel test

• Wald test

Samples

• Simple random sample

• Stratification

• Survey Sampling

• SurveySamples

Prediction

• Conditional Expectations

• Expected Values

Modeling

• Bayesian Hierarchical Model

• Binning

• Causal Inference

• Econometrics Notation

• Fixed effects Model

• Generalized Linear Model

• Lasso

• Logistic Model

• Multilevel Model

• Multilevel Regression with Poststratification

• Ordinary Least Squares

• Post-Stratification

• Standard errors

• Structural Equation Modeling

Non-parametric Modeling

• Bagging

• Decision trees

• Gradient Boosting

• Random forest

• Support-Vector Machines

Analysis

• Factor analysis

• Mediation analysis

Survey Analysis

• Survey Disposition

• Focus Group

• Survey Frame

• Margin of Error

• Non-response Bias

• Online Bulletin Board

• Response Rate

• Qualitative Coding

• Survey Inference

• Survey Weights

• Unequal Weighting and Design Effects

Natural Language Processing

• Bag of Words Model

• NLP data preparation

• Word Embedding

• Recursive Sequencing

• Topic Model

• Sentiment Analysis

• Text Classification

Reading Notes

• Measurement Error Models, Wayne A. Fuller, 1987

• The Effect of Weight Trimming on Nonlinear Survey Estimates, Frank J. Potter, 1993

• Evidence on the Validity of Cross-sectional and Longitudinal Labor Market Data, John Bound, Charles Brown, Greg J. Duncan, and Willard L. Rodgers, 1994

• Sampling Weights and Regression Analysis, Christopher Winship and Larry Radbill, 1994

• Improving on Probability Weighting for Household Size, Andrew Gelman and Thomas C. Little, 1998

• Statistical Modeling: The Two Cultures, Leo Breiman, 2001

• Ascertaining the validity of individual protocols from Web-based personality inventories, John A. Johnson, 2004

• Struggles with Survey Weighting and Regression Modeling, Andrew Gelman, 2007

• Identifying Careless Responses in Survey Data, Andrew Meade, S. Bartholomew Craig, 2012

• Estimating Measurement Error in Annual Job Earnings, John M. Abowd and Martha H. Stinson, 2013

• How Robust Standard Errors Expose Methodological Problems They Do Not Fix, and What to Do About It, Gary King and Margaret E. Roberts, 2015

• Sampling-based vs. Design-based Uncertainty in Regression Analysis; Alberto Abadie, Susan Athey, Guido W. Imbens, and Jeffrey M. Wooldridge; 2017

• When Should You Adjust Standard Errors for Clustering?; Alberto Abadie, Susan Athey, Guido W. Imbens, and Jeffrey M. Wooldridge; 2017

• Regression and Other Stories, Andrew Gelman, Jennifer Hill, and Aki Vehtari, 2020

• The Independent Contractor Workforce: New Evidence on Its Size and Composition and Ways to Improve Its Measurement in Household Surveys; Katharine G. Abraham, Brad J. Hershbein, Susan N. Houseman, and Beth C. Truesdale; 2023

• Surveys of Consumers Technical Report: Technical Documentation for the 2024 Methodological Transition to Web Surveys, 2024

• The effect of online interviews on the University of Michigan Survey of Consumer Sentiment, Ryan Cummings and Ernie Tedeschi, 2024

• Measurement error when surveying issue positions: a MultiTrait MultiError approach; Kim Backström, Alexandru Cernat, Rasmus Sirén, and Peter Söderlund; 2025

CategoryRicottone CategoryMathematics