5 Statistics

Descriptive Statistics

Descriptive Statistics Cross Tabulation and Chi-square 2D Binning Distribution Fit Partial Correlation Coefficient

ANOVA

• One Way ANOVA
• Two Way ANOVA
• One-Way Repeated Measures ANOVA
• Two Way Repeated Measures ANOVA
• Two-Way Mixed-Design ANOVA
• Three-Way ANOVA
• Linear Mixed Effects Model
• Generalized Linear Mixed Model
• ANOVA from Summary Data
• Effect Size for ANOVA

Parametric and Nonparametric Testing

• Hypothesis Tests
• Non-parametric Statistics

Quality Control and Improvement

Statistical Process Control (SPC)

• Identify Data Distribution
• Capability Analysis
• Process Overview
• Data Transformation
• Control Charts

Measurement System Analysis (MSA)

• Gage R&R Study
• Attribute Agreement Analysis
• Tolerance Intervals

Design of Experiments (DOE)

• Design of Experiments

Regression

• Linear Fitting and Outlier Remove
• Nonlinear Curve Fit Tool
• General Linear Regression
• Logistic Regression
• Structural Equation Modeling
• Neural Network Fitting
• Neural Network Regression

Time Serie Analysis

Statistics and Test

• Autocorrelation and Partial Autocorrelation (ACF & PACF)
• Cross Correlation (CCF)
• Stationary Test

Transform and Decompose

• Differences
• Lag
• Box-Cox Transformation
• Trend Analysis
• Decomposition

Smooth

• Moving Average
• Single Exponential Smoothing
• Double Exponential Smoothing
• Winter's Method

ARIMA

• ARIMA tool
• Prewhitening

Spectral Analysis

• Univariate Spectral Density with Daniell Method
• Univariate Spectral Density with Lag Window
• Bivariate Spectral Density with Daniell Method
• Bivariate Spectral Density with Lag Window

Survival and Reliability Analysis

• Kaplan-Meier Estimator
• COX Model Estimator
• Weibull Fit
• Parametric Distribution Analysis (Right Censoring)
• Nonparametric Distribution Analysis (Arbitrary Censoring)
• Warranty Analysis
• Accelerated Life Testing

Multivariate Analysis

• Principal Component Analysis
• Cluster Analysis
• Discriminant Analysis
• Partial Least Squares
• Decision Tree Analysis

Power and Sample Size

ROC curve