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Paired T-test aka 2 independent samples
compares the averages of two measurements for same sample that are dependent on each other
Paired T-test uses
2 quantitative post and pre variables that the difference is normally distributed
Wilcoxon Signed-rank test uses
2 qualitative post and pre variables that the difference is not normally distributed
Reporting Wilcoxon Signed Rank
test value pre median post median p-value
Two Independent Samples T-test
compare means between two seperate groups
Two Independent Samples T-test null
there is no significant difference between the means of two groups
Two independent Samples T-test uses
1 quantitative and 1 qualitative variable with 2 categories normally distributed based on levene’s test
Levene’s test
variance in the quantitative variable in two groups are equal
Levene’s test not significant
p ≥ 0.05 or CI includes null value
use top row and assumes equal variances
Levene’s test significant
p ≤ 0.05 or CI excludes null value
use bottom row and variances not equal
If CI overlap
FTR null or not significant result
If CI separate
reject null or significant result
Mann-Whitney Test uses
1 quantitative 1 qualitative variable abnormally distributed
Mann-Whitney test
tests if two groups differ from each other based on medians
Mann-Whitney test null
the medians of two groups are the same or not significantly different
Reporting Mann-whitney
test value median (min-max) median (min-max) p-value