Programming & Scientific Computing · R Programming & Statistical Analysis

R: Descriptive and inferential statistics

Public introduction · full guide in Eikos

Introduction

What this guide covers

A comprehensive graduate-level guide: precise syntax, rigorous statistical theory, and reproducible code for comprehensive data analysis.

Overview

Topics covered

  • Introduction
  • Descriptive and Inferential Statistics in R
  • Introduction to R and the Work Environment > sessionInfo() # R version 4.3.2 (2023-10-31)
  • Initial Environment Configuration
  • Basic Operations and Types of Objects
  • Fundamental Data Structures

Related concepts

Main connections

  • Skewness & kurtosis
  • Variance & standard deviation
  • p-value & significance
  • Non-parametric tests
  • Residual analysis & diagnostics
  • Analysis of variance (ANOVA)

Compatible notation

Mathematical sample in LaTeX

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

SST=SSentre+SSdentro⇔∑i,j(yij−y‾)2=n∑i(y‾i−y‾)2+∑i,j(yij−y‾i)2
View LaTeX sourceSS_T = SS_{entre} + SS_{dentro} \qquad \Leftrightarrow \qquad \sum_{i,j}(y_{ij}-\bar{y})^2 = n\sum_i(\bar{y}_i - \bar{y})^2 + \sum_{i,j}(y_{ij}-\bar{y}_i)^2