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Independent t-test
parametric
2 independent groups
Mann Whitney U test or Fisher’s Exact test
nonparametric
2 independent groups
Dependent t-test or Paired t-test
parametric
2 dependent groups
Wilcoxon’s test or McNemar’s test
nonparametric
2 dependent groups
Analysis of Variance (ANOVA)
parametric
> 2 independent groups
One-way ANOVA
parametric
> 2 independent groups
Repeated Measures of ANOVA
parametric
> 2 independent groups
REPEATEDLY
Friedman’s test or repeated measures of logistic regression
nonparametric
> 2 independent groups
REPEATEDLY
Dependent
variable from the same group
Independent
variables from different group(s)
Parametric
assume data is normally distributed
Nonparametric
assume data is not normally distributed
rely on ranks/counts
Ratio Data (height, weight, age)
difference between measurements
true zero exists
quantitative
Interval Data (like temperature, IQ, dates)
difference between measurements
NO true zero exists
quantitative
Ordinal Data
ranking categories
qualitative
Nominal Data
categories
no ordering or direction
qualitative
One-way ANOVA
parametric
1 outcome variable
1 independent variable
Kruskal-Wallis
nonparametric
1 outcome variable
1 independent variable
Two-way ANOVA
parametric
1 outcome variable
2 independent variable
Friedman’s test
nonparametric
1 outcome variable
2 independent variable
Multivariate ANOVA
2+ outcome variables
Pearson Product Moment Correlation Coefficient (Pearson’s r)
parametric
1st: continuous
2nd: continuous
Spearman Rank Correlation or Kendall’s Tau b
nonparametric
1st: continuous/categorical
2nd: categorical (ordinal)/continuous
Chi-square Test of Association
nonparametric
1st: categorical
2nd: categorical (nominal)
Dichotomous
outcome with 2 possible values