“Statistical inference guides the selection of appropriate models. Models and data interact in statistical work: models are used to draw conclusions from data, while the data are allowed to criticize and even falsify the model through inferential and diagnostic methods. Inference from data can be thought of as the process of selecting a reasonable model, including a statement in probability language, of how confident one can be about the selection.”

Sampling Distributions

Sampling Distribution for Proportions

Rossman Chance Sampling Distribution Simulation Applet

Sampling Distribution for Means

Z-Tests

One Sample T-Tests

Two-Sample T-Tests

Matched Pairs T-Tests

One Proportion Z-Test

Two Proportion Z-Test

Chi-Squared Analysis

Inference for Regression

ANOVA