Choosing the Right Nonparametric Method for the Right Data Set

Type of Statistical Problem

TYPE OF DATA
Binomial Nominal Categories Ordered or Ordinal Categories Continuous or Interval
Single-sample Binomial Test

Binomial C.I.

Binomial Power

Runs Test
Chi-Square Goodness-of-Fit Test

Multinomial C.I.

Test of Homogeneity of Poisson Rates

Poisson C.I.
Chi-Square Goodness-of-Fit Test Tests for
Goodness-of-Fit

Kolmogorov Test

Shapiro-Wilk Test

Lilliefors Test

Runs Test ( with cut-off)


Tests for Locationt

Wilcoxon Signed Rank Test

Hodges-Lehmann C.I. for Median
Paired Samples Sign Test

McNemarâs Test

 

Sign Test

Marginal Homogeneity Test
Wilcoxon Signed Rank Test

Permutation Test with General Scores

Hodges-Lehmann C.I. for Shift
Two Independent Samples: Unstratified Conditional Inference

Fisher's Exact Test

Pearson's Chi-Square Test

Likelihood Ratio Test

C.I. for Odds Ratio


Unconditional Inference

Barnard's Test

C. I. for P2 -P

C. I. for P2 /P
Multinomial Samples

Fisher-Freeman-Halton Test

Pearson's Chi-Square Test

Likelihood Ratio Test

Poisson Samples

Poisson Samples

CI for common Poisson Rate-Ratio
Tests for Location

Wilcoxon Mann Whitney Test

Normal Scores Test

Savage Scores Test

Permutation Test with

General Scores

MERT Scores

C.I. for Common Odds Ratio


Tests for Scale

Siegel-Tukey Test

Mood Test

Ansari-Bradley Test

Klotz Test

Conover Test


Omnibus Tests

Kolmogorov-Smirnov Test

Wald-Wolfowitz Runs Test
Tests for Location

Wilcoxon Mann Whitney Test

Normal Scores Test

Savage Scores Test

Permutation Test with

General Scores

MERT Scores

Hodges-Lehmann C.I. for Shift


Tests for Scale

Siegel-Tukey Test

Mood Test

Ansari-Bradley Test

Klotz Test

Conover Test


Omnibus Tests

Kolmogorov-Smirnov Test

Wald-Wolfowitz Runs Test


Tests for Censored Survival Data

Wilcoxon-Gehan Test

Logrank Test
Two Independent Samples: Stratified Test for Homogeneity of Odds-Ratios

Test for Common Odds-Ratio

C.I. for Common Odds-Ratio
Poisson Samples

Test for Homogeneity of Poisson Rate-ratio.

CI for common Poisson Rate-Ratio
Wilcoxon Rank Sum Test

Normal Scores Test

Savage Scores Test

Permutation Test with

General Scores

MERT Scores

Permutation Test with Stratum-Specific Scores

C.I. for Common Odds Ratio

Conditional (Post-hoc) Power
Tests for Complete Data

Wilcoxon Rank Sum Test

Normal Scores Test

Savage Scores Test

Permutation Test with

General Scores

MERT Scores

Permutation Test with Stratum-Specific Scores


Tests for Censored Survival Data

Wilcoxon-Gehan Test

Logrank Test
K Related Samples:
Unordered Treatments
Cochran Q Test

 

Friedman Test

Quade Test

Friedman Test

Quade Test

K Related Samples:
Ordered Treatments

 

 

Page Test Page Test
K Independent Samples: Unordered Treatments Fisher-Freeman-Halton Test

Pearson's Chi-Square Test

Likelihood Ratio Test
Fisher-Freeman-Halton Test

Pearson's Chi-Square Test

Likelihood Ratio Test
Median Test

Kruskal-Wallis Test

Normal Scores Test

Savage Scores Test

One-Way ANOVA with General

Scores

Tests for Complete Data

Median Test

Kruskal-Wallis Test

Normal Scores Test

Savage Scores Test

One-Way ANOVA


Tests for Censored Survival Data

Wilcoxon-Gehan Test
Logrank Test
K Independent Samples: Ordered Treatments Cochran-Armitage Trend Test (with stratification)

C.I. for Common Odds Ratio

Conditional Power

 

Jonckheere-Terpstra Test

Linear by Linear Association Test
Jonckheere-Terpstra Test

Linear by Linear Association Test

Tarone-Ware trend test for censored Survival data
Measures of Association Contingency Coefficients

Goodman Kruskal t

Uncertainty Coefficients
Contingency Coefficients

Goodman Kruskal t

Uncertainty Coefficients
Pearson's Product-Moment Correlation Coefficient

Spearman's Rank-Order Correlation Coefficient

Kendall's t Coefficient

Somers' D Coefficient

Goodman-Kruskal g Coefficient

Kendall's Coefficient of Concordance
Pearson's Product-Moment Correlation Coefficient

Spearman's Rank-Order Correlation Coefficient

Kendall's t Coefficient

Somers' D Coefficient

Goodman-Kruskal g Coefficient

Kendall's Coefficient of Concordance
Measures of Agreement Cohen's Kappa Cohen's Kappa Weighted Kappa Weighted Kappa
Power and Sample Size

Fisher's Exact Test

Pearson's Chi-Square Test

Likelihood Ratio Test Equivalence Test

 

Trend Tests on K binomial Samples

Linear Rank Tests on Two Multinomial Samples