WICH TEST SHOULD I USE (Example in R) Modified from: http://www.ats.ucla.edu/stat/mult_pkg/whatstat/choosestat.html (2016)

 

Independent Variables

Dependent Variables

 

 

Number

Nature

Test(s)

 

 

1

interval & normal

one-sample t-test

 

ordinal or interval

one-sample median

 

categorical (2 categories)

binomial test

0 IVs (1 population)

categorical

Chi-square goodness-of-fit

 

interval & normal

2 independent sample t-test

 

ordinal or interval

Wilcoxon-Mann Whitney test

1 IV with 2 levels (independent

 

Chi-square test

groups)

categorical

Fisher's exact test

 

interval & normal

one-way ANOVA

1 IV with 2 or more levels

ordinal or interval

Kruskal Wallis

(independent groups)

categorical

Chi-square test

 

interval & normal

paired t-test

1 IV with 2 levels

ordinal or interval

Wilcoxon signed ranks test

(dependent/matched groups)

categorical

McNema

 

interval & normal

one-way repeated measures ANOVA

1 IV with 2 or more levels

ordinal or interval

Friedman test

(dependent/matched groups)

categorical

repeated measures logistic regression

 

interval & normal

factorial ANOVA

2 or more IVs (independent

ordinal or interval

ordered logistic regression

groups)

categorical

factorial logistic regression

 

interval & normal

correlation

 

interval & normal

simple linear regression

 

ordinal or interval

non-parametric correlation

1 interval IV

categorical

simple logistic regression

 

 

multiple regression

 

interval & normal

analysis of covariance

1 or more interval IVs and/or 1

categorical

multiple logistic regression

or more categorical IVs

discriminant analysis

1 IV with 2 or more levels

 

2+

 

 

(independent groups)

interval & normal

one-way MANOVA

2+

interval & normal

multivariate multiple linear regression

0

interval & normal

factor analysis

0

2 sets of 2+

interval & normal

canonical correlation