Advanced & Applied Topics · Statistical Quality Control & Six Sigma

Statistical quality control: Univariate control charts for variables

Public introduction · full guide in Eikos

Introduction

What this guide covers

A rigorous and analytical reference on statistical process control (SPC) for continuous variables, covering mathematical derivations of limits, capability indices and advanced inference.

Overview

Topics covered

  • Introduction
  • Statistical Quality Control: Variable Control Charts
  • Fundamentals of SPC and Inference in Continuous Variables
  • The Control Chart (Mean): Theoretical Analysis and Control Limits
  • 2.1 Control Limits when Parameters are Known ( standard)
  • 2.2 Control Limits with Estimated Parameters (Control Phase I)

Related concepts

Main connections

  • Calculus & differentiation
  • Variance & standard deviation
  • Mean & expected value
  • Confidence interval
  • Chi-squared tests & goodness of fit
  • Time series & ARIMA

Compatible notation

Mathematical sample in LaTeX

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

Xt∼N(μ,σ2),Cov(Xt,Xt+k)=0∀k≠0
View LaTeX sourceX_t \sim N(\mu, \sigma^2), \quad \text{Cov}(X_t, X_{t+k}) = 0 \quad \forall k \neq 0