Probability & Statistical Inference · Statistical Inference & Estimation

Statistical Inference: Hypothesis Tests

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction introduction

Overview

Topics covered

  • Introduction
  • Hypothesis testing: the contrast method
  • Basics of hypothesis testing
  • The null hypothesis and the alternative hypothesis
  • Type I and type II errors
  • Statistical power and operating characteristic curve

Related concepts

Main connections

  • p-value & significance
  • Variance & standard deviation
  • Analysis of variance (ANOVA)
  • Non-parametric tests
  • Multiple testing & FWER/FDR
  • Conditional probability & independence

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

H0:θ∈Θ0frente aH1:θ∈Θ1
View LaTeX sourceH_0: \theta \in \Theta_0 \qquad \text{frente a} \qquad H_1: \theta \in \Theta_1