Option A
Paired samples t-test: Utilized to compare means between two similar samples. Generally, you
pair the same group of people’s test results before and after an intervention such as pre-
posttest. Example: Pre-test and post-test
Assumptions of Paired samples t-test:
1. Independence: two separate observations are being compared.
2. Normality: Normal distribution between pairs
3. No extreme outliers
If any assumption is violated, then this would be an invalid test.
If a different group of people is examined before and after, see option B.
Wilcoxon signed rank test: Utilized to compare two separate observations between two similar
samples when the assumption of normality is not present. Wilcoxon signed rank test should be
used over a t-test if there will be outliers in the data. Where a t-test examines the means
between two data sets, the Wilcoxon signed rank test examines the ordering of the data
instead of the means of the data. An example where this may be more helpful is if there will be
various disciplines of medicine with widely varied educational background taking the same
survey. Example: Likert scale
Assumptions of Wilcoxon signed rank test:
1. The dependent variable is ordinal and continuous.
2. Independent variable being compared is matched or related, or the same subjects are
examined before and after.
3. Distribution of differences is symmetrical between groups.
Option B
Chi-square test: Examines observed vs expected values.
Example: Implement a new protocol and examine an outcome, such as protocol compliance; **
a specific categorical outcome or nominal outcome that is expected after implementation.
Example: BMI screening, asthma action plan
Assumptions of Chi-square Test:
1. Data should be randomly sampled from the population of interest.
2. Comparing two categorical or nominal variables.
3. At least 5 expected values for each combination of the two variables. (If fewer than
5, consider Fisher’s exact test)