flowchart TD start[Start] --> groups{"How many groups/samples?"} %% One sample branch groups -->|"One sample"| dataType1{"What type of data?"} dataType1 -->|"Continuous"| normal1{"Normal distribution?
(or n > 30)"} dataType1 -->|"Categorical"| chiSquare1["Chi-square
goodness of fit"] normal1 -->|"Yes"| popSD{"Population SD
known?"} normal1 -->|"No"| wilcoxon1["Wilcoxon
signed-rank test"] popSD -->|"Yes"| zTest1["One-sample
Z-test"] popSD -->|"No"| tTest1["One-sample
t-test"] %% Two+ samples branch groups -->|"Two or more samples"| paired{"Are the samples
paired/dependent?"} %% Paired samples paired -->|"Yes"| dataType2{"What type of data?"} dataType2 -->|"Continuous"| normal2{"Normal distribution?
(or n > 30)"} dataType2 -->|"Categorical"| mcNemar["McNemar's test"] normal2 -->|"Yes"| tTest2["Paired
t-test"] normal2 -->|"No"| nonParamPaired{"Number of
groups?"} nonParamPaired -->|"Two"| wilcoxon2["Wilcoxon
signed-rank test"] nonParamPaired -->|"Three+"| friedman["Friedman test"] %% Independent samples paired -->|"No"| howMany{"How many
groups?"} %% Two independent groups howMany -->|"Two"| dataType3{"What type of data?"} dataType3 -->|"Continuous"| normal3{"Normal distribution
& equal variances?"} dataType3 -->|"Categorical"| catSampleSize{"Expected cell
counts ≥ 5?"} catSampleSize -->|"Yes"| chiSquare2["Chi-square test
of independence"] catSampleSize -->|"No"| fisher["Fisher's exact test"] normal3 -->|"Yes"| popSD2{"Population SDs
known?"} normal3 -->|"No"| mannWhitney["Mann-Whitney
U test"] popSD2 -->|"Yes"| zTest2["Two-sample
Z-test"] popSD2 -->|"No"| tTest3["Independent
t-test"] %% Three+ independent groups howMany -->|"Three or more"| dataType4{"What type of data?"} dataType4 -->|"Continuous"| normal4{"Normal
distribution?"} dataType4 -->|"Categorical"| chiSquare3["Chi-square test
of independence"] normal4 -->|"Yes"| equalVar{"Equal
variances?"} normal4 -->|"No"| kruskal["Kruskal-Wallis
H test"] equalVar -->|"Yes"| factorCount{"How many
factors?"} equalVar -->|"No"| welchAnova["Welch's
ANOVA"] factorCount -->|"One"| anova["One-way
ANOVA"] factorCount -->|"Two"| anova2["Two-way
ANOVA"] factorCount -->|"Three"| anova3["Three-way
ANOVA"] factorCount -->|"With covariate"| ancova["ANCOVA"] %% Post-hoc tests anova -->|"Significant results
need pairwise comparisons"| postHoc{"Post-hoc test
selection"} postHoc -->|"All pairwise
comparisons"| tukey["Tukey's HSD test"] postHoc -->|"Compare to
control group"| dunnett["Dunnett's test"] welchAnova -->|"Significant results
need pairwise comparisons"| gamesHowell["Games-Howell test"] kruskal -->|"Significant results
need pairwise comparisons"| dunn["Dunn's test"] %% Regression branch groups -->|"Relationship
between variables"| regType{"Type of
relationship?"} regType -->|"Linear
(one predictor)"| simpleReg["Simple linear
regression"] regType -->|"Linear
(multiple predictors)"| multiReg["Multiple linear
regression"] regType -->|"Curved
(U-shaped)"| quadReg["Quadratic
regression"] regType -->|"Exponential
growth/decay"| expReg["Exponential
regression"] %% Styling classDef process fill:#ffffff,stroke:#2c3e50,stroke-width:2px,rx:10px,ry:10px classDef decision fill:#f9f3d5,stroke:#2c3e50,stroke-width:2px classDef test fill:#d5f5e3,stroke:#2c3e50,stroke-width:2px,rx:10px,ry:10px classDef title font-size:18px,font-weight:bold class start process class groups,dataType1,normal1,dataType2,normal2,paired,howMany,dataType3,normal3,dataType4,normal4,popSD,popSD2,catSampleSize,factorCount,nonParamPaired,postHoc,regType,equalVar decision class tTest1,zTest1,wilcoxon1,chiSquare1,tTest2,wilcoxon2,mcNemar,tTest3,zTest2,mannWhitney,chiSquare2,fisher,anova,anova2,anova3,ancova,kruskal,chiSquare3,friedman,tukey,dunnett,dunn,welchAnova,gamesHowell,simpleReg,multiReg,quadReg,expReg test