Statistical Methods for Quality Control

Process Overview

The Process Overview tool in the SPC app offers reports with charts and capability statistics. It helps you to identify problem areas and gain insights into your data:

• Xbar / Individuals charts
• Probability plot
• Capability histogram
• Capability plot
• Capability statistics

Capability Analysis

Capability analysis is used to detect whether a process meets specifications. The SPC app provides following features of capability analysis:

• Capability Histogram
• Cp, Cpk, Cpm, Pp, Ppk etc
• Performance Report
• Multiple Variables
• Support different data types
  • Automated
  • Normal
  • Between/Within
  • Nonparametric
  • Non-normal
  • Binomial
  • Poisson

Data Transformation

The SPC app provides 3 transformation functions to make data approximately normal:

• Box-Cox Transform
• Johnson Transform
• Yeo-Johnson Transform

The SPC App provides 14 distributions and 3 transformation functions to help to identify your data distribution:

• Normal
• Logistic
• Lognormal / 3-Parameter-Lognormal
• Log-logistic
• Weibull / 3-Parameter Weibull
• Gamma
• Rayleigh
• Smallest Extreme Value
• Largest Extreme Value
• Exponential / 2-Parameter Exponential
• Gaussian Mixture
• Folded Normal
• Box-Cox Transformation
• Johnson Transformation
• Yeo-Johnson Transformation

Gage R&R Study

The Gage Study App supports the following features:

• Type 1 Gage Study
• Gage Linear Bias Analysis
• Crossed Gage R&R Study
• Nested Gage R&R Study
• Expanded Gage R&R Study
• Attribute Gage Study
• Create Gage Worksheet
• Gage Run Chart

Attribute Agreement Analysis

The Attribute Agreement Analysis App is designed to assess the degree of agreement between appraisers' ratings and known standards. This App supports the following:

• Kappa Statistics
• Kendall's Coefficient of Concordance
• Within Appraisers Analysis
• All Appraisers vs. Standard Analysis
• Agreement Graphs
• Confidence Intervals
• Misclassification Rates

Origin offers three tools for Acceptance Sampling

• Attributes Acceptance Sampling
• Variables Acceptance Sampling (Create/Compare)
• Variables Acceptance Sampling (Accept /Reject Lot)

Origin offers Tolerance intervals app, which is important tool in quality control. It helps understand and manage variability in production processes. The tolerance intervals app in Origin provides the following features

• Support multiple distributions
  • Normal
  • Lognormal
  • Gamma
  • Exponential
  • Smallest Extreme Value
  • Weibull
  • Largest Extreme Value
  • Logistic
  • Loglogistic
  • Nonparametric
• Parametric and non-parametric tolerance intervals
• Sample size & Maximum Population Percentage in Intervall
• Graphical report including interval plot, histogram and probability plots

The stability study app provides two tools to collect data and model the relationship between time and quality characteristics across multiple storage conditions or batches

• Create Stability Study worksheet

  Create a custom worksheet for stability study data collection,

• Stability study

  Fit a general linear model against time and batch, which can be used to predict shelf life

Power and sample size

• Determine the minimum sample size required to achieve a certain level of power for detecting a specified effect size
• Find the right balance that ensures robust and valid experimental outcomes

Define Custom Design

Create a design from data in the worksheet

Design

• Definitive screening design
• Factorial design, including 2-level factorial, 2-level split-plot, Plackett-Burman and general full factorial
• Response surface design, including central composite and Box-Behnken
• Mixture design, including simplex centroid, simplex lattice and extreme vertices
• Taguchi design, including static and dynamic
• Optimal design

Analysis

• Linear+ Interaction+Square models
• Optimize model with stepwise selection
• Analyze variability
• Analyze binary response
• Goodness-of-fit
• Fits and residual diagnostics
• Find Y from X
• Pseudo-components
• Coding schemes for categorical factors
• Report regression equation.

Graphics

• Overlaid Contour Plot
• Fitted Plot
• Residual Plot
• Effects Plot
• Main Effects Plot
• 2-way Interaction Plots
• Contour Plot
• Surface Plot
• Simplex Design Plot

Optimize

• Search for optimal responses based on the goal:minimize, maximize and target.
• Constraint factors to a region or hold at a fixed value.
• Display the optimization plot, in which you can tune factor settings to improve the solution.
• Simultaneously optimize multiple responses, each with a different model

Reliability Analysis in Origin supports following features

• Distribution Analysis (Right Censoring)
  • Parametric Distribution Analysis
  • Nonparametric Distribution Analysis
  • Identify Distribution
  • Distribution Overview
• Distribution Analysis (Arbitrary Censoring)
  • Parametric Distribution Analysis
  • Nonparametric Distribution Analysis
  • Identify Distribution
  • Distribution Overview
• Regression with Life Data
  • Regression with Life Data
  • Cox Proportional Hazard Model
  • Probit Analysis
• Nonparametric Survival Analysis
  • Kaplan-Meier Estimator
• Accelerated Life Testing(ALT)
• Life Test Plans
  • Demonstration
  • Estimation
  • Accelerated Life Testing Plan
• Warranty Analysis
  • Transform Warranty Data
  • Warranty Prediction

The Monte Carlo Simulation tool supports the following features:

• Monte Carlo Simulation
  • Multiple Inputs and Outputs
  • Probability Distributions, including Triangular and Truncated Normal
  • Automatic Distribution Fitting from Worksheet Data
  • Import Models from GLR, DOE, and NLFit Reports
  • Process Capability Analysis (Cpk/Ppk, DPMO)

• Parameter Optimization
  • Optimize Multiple Controllable Inputs Simultaneously
  • Support for Controllable and Noise Variables
  • Custom Optimization Objectives and Search Bounds

• Sensitivity Analysis
  • Sensitivity Curves for Multiple Inputs
  • Tornado Plot Ranking Input Impact
  • Input Standard Deviation Analysis