List of Statistical Tests: Definitions, Step-by-Step

Curve Fitting

Tolerance Intervals

Distribution Fitting
Grubbs’ Outlier Test
Normality Tests
Normal Probability Plots

Multivariate Analysis
Hotelling’s
Multivariate Analysis of Variance (MANOVA)

Correspondence Analysis
Loglinear Models
Multidimensional Scaling
Nondetects Data Analysis
Nondetects-Data Group Comparison
Nondetects Data Regression
Nonparametric
Cochran’s Q Test

Cochran’s Q Test
Conover Equal Variance Test

One-Way Analysis of Variance
Cumulative Incidence Curves

Cumulative Incidence
Dunn’s Test

One-Way Analysis of Variance
Dwass-Steel-Critchlow-Fligner Test

One-Way Analysis of Variance
Friedman’s Rank Test

Balanced Design Analysis of Variance
Kaplan-Meier Curves

Kaplan-Meier Curves (Logrank Tests)
Kendall’s Tau Correlation

Correlation
Two-Way Contingency Tables (Crosstabs / Chi-Square Test)
Kolmogorov-Smirnov Test

Two-Sample T-Test
Descriptive Statistics
Normality Tests
Tolerance Intervals
Kruskal-Wallis Test

One-Way Analysis of Variance
Logrank Test

Kaplan-Meier Curves (Logrank Tests)
Mann-Whitney U or Wilcoxon Rank-Sum Test

Two-Sample T-Test
Testing Non-Inferiority with Two Independent Samples
Testing Equivalence with Two Independent Samples
McNemar Test

Two Correlated Proportions (McNemar Test)
Two Correlated Proportions – Equivalence Tests
Two-Way Contingency Tables (Crosstabs / Chi-Square Test)
Cochran’s Q Test (as pairwise multiple comparison tests)
Nondetects-Data Group Comparison

Nondetects-Data Group Comparison
Randomization Tests

One-Sample T-Test
Paired T-Test
Two-Sample T-Test
Linear Regression and Correlation
Curve Fitting – General
Michaelis-Menten Equation
Hotelling’s One-Sample T2
Hotelling’s Two-Sample T2
Kaplan-Meier Curves (Logrank Tests)
ROC Curves

One ROC Curve and Cutoff Analysis
Comparing Two ROC Curves – Paired Design
Comparing Two ROC Curves – Independent Groups Design
Runs Tests (e.g. Wald-Wolfowitz Runs Test)

Analysis of Runs
Sign or Quantile Test

One-Sample T-Test
Paired T-Test
Spearman-Rank Correlation

Correlation
Correlation Matrix
Linear Regression and Correlation
Wilcoxon Signed-Rank Test

One-Sample T-Test
Paired T-Test
Operations Research
Linear Programming with Bounds
Linear Programming with Tableau
Mixed Integer Programming
Assignment
Maximum Flow
Minimum Cost Capacitated Flow
Minimum Spanning Tree
Shortest Route
Transportation
Transshipment
Proportions
One Proportion
Two Proportions
Two Proportions – Non-Inferiority Tests
Two Proportions – Superiority Tests
Two Proportions – Equivalence Tests
Two Proportions – Two-Sided Tests vs. a Margin
Two Correlated Proportions (McNemar Test)
Two Correlated Proportions – Non-Inferiority Tests
Two Correlated Proportions – Superiority Tests
Two Correlated Proportions – Equivalence Tests
Two-Way Contingency Tables (Crosstabs / Chi-Square Test)
Frequency Tables
Cochran’s Q Test
Loglinear Models
Mantel-Haenszel Test
Quality Control
X-bar and R Charts
X-bar and s Charts
X-bar Charts
R Charts
s Charts
CUSUM Charts
EWMA Charts
Moving Average Charts
Individuals and Moving Range Charts
Levey-Jennings Charts
P Charts
NP Charts
C Charts
U Charts
Analysis of Runs
Capability Analysis
Lag Plots
Pareto Charts
R & R Study
Tolerance Intervals
Acceptance Sampling for Attributes
Operating Characteristic Curves for Acceptance Sampling for Attributes
Reference Intervals
Reference Intervals
Reference Intervals – Age-Specific
Robust Linear Regression (Passing-Bablok Median-Slope)
Tolerance Intervals
Regression
Simple Linear Regression

Linear Regression and Correlation
Box-Cox Transformation for Simple Linear Regression
Robust Linear Regression (Passing-Bablok Median-Slope)
Multiple Regression

Multiple Regression
Multiple Regression – Basic
Principal Components Regression
Nondetects Data Regression
Response Surface Regression
Ridge Regression
Robust Regression
Multiple Regression for Appraisal
Multiple Regression with Serial Correlation
Logistic Regression

Logistic Regression
Conditional Logistic Regression
Discriminant Analysis
Probit Analysis
Cox Regression

Cox Regression
Parametric Survival (Weibull) Regression
Probit Analysis
Count Data

Poisson Regression
Zero-Inflated Poisson Regression
Negative Binomial Regression
Zero-Inflated Negative Binomial Regression
Geometric Regression
Method Comparison

Deming Regression
Passing-Bablok Regression for Method Comparison
Nondetects-Data Regression

Nondetects Data Regression
Nonlinear Regression

Nonlinear Regression
Curve Fitting – General
Michaelis-Menten Equation
Sum of Functions Models
Fractional Polynomial Regression
Ratio of Polynomials Fit – One Variable
Ratio of Polynomials Search – One Variable
Harmonic Regression
Ratio of Polynomials Fit – Many Variables
Ratio of Polynomials Search – Many Variables
Survival Data

Cox Regression
Parametric Survival (Weibull) Regression
Probit Analysis
Subset Selection

All Possible Regressions
Stepwise Regression
Subset Selection in Multiple Regression
Subset Selection in Multivariate Y Multiple Regression
Conditional Logistic Regression
Cox Regression
Discriminant Analysis
Geometric Regression
Logistic Regression
Negative Binomial Regression
Poisson Regression
Time Series

Multiple Regression with Serial Correlation
Harmonic Regression
Two-Stage Least Squares

Two-Stage Least Squares
Reliability
Cumulative Incidence
Kaplan-Meier Curves (Logrank Tests)
Life-Table Analysis
Cox Regression
Parametric Survival (Weibull) Regression
Beta Distribution Fitting
Distribution (Weibull) Fitting
Gamma Distribution Fitting
Mantel-Haenszel Test
Probit Analysis
Tolerance Intervals
Survival Parameter Conversion Tool
Time Calculator
ROC Curves
One ROC Curve and Cutoff Analysis
Comparing Two ROC Curves – Paired Design
Comparing Two ROC Curves – Independent Groups Design
Survey Data
Two-Way Contingency Tables (Crosstabs / Chi-Square Test)
Frequency Tables
Cochran’s Q Test
Descriptive Statistics – Summary Tables
Descriptive Statistics – Summary Lists
Loglinear Models
Item Analysis
Data Screening
Survival Analysis
Cumulative Incidence
Kaplan-Meier Curves (Logrank Tests)
Life-Table Analysis
Cox Regression
Parametric Survival (Weibull) Regression
Beta Distribution Fitting
Distribution (Weibull) Fitting
Gamma Distribution Fitting
Mantel-Haenszel Test
Probit Analysis
Tolerance Intervals
Survival Parameter Conversion Tool
Time Calculator
Time Series
ARIMA (Box-Jenkins)
Automatic ARMA
Theoretical ARMA
Autocorrelations
Cross-Correlations
Spectral Analysis
Decomposition Forecasting
Exponential Smoothing – Horizontal
Exponential Smoothing – Trend
Exponential Smoothing – Trend / Seasonal
Harmonic Regression
Analysis of Runs
T-Tests
One-Sample T-Test
Paired T-Test
Paired T-Test for Non-Inferiority
Paired T-Test for Equivalence
Two-Sample T-Test
Two-Sample T-Test from Means and SD’s
Testing Non-Inferiority with Two Independent Samples
Testing Equivalence with Two Independent Samples
Box-Cox Transformation for Two or More Groups (T-Test and One-Way ANOVA)
Bland-Altman Plot and Analysis
Hotelling’s One-Sample T2
Hotelling’s Two-Sample T2
Analysis of Two-Level Designs
Cross-Over Analysis Using T-Tests
Two-Way Tables