Classifying studies, simplified version
Allocation of units to treatment groups
RandomNot random
Controlled experiment:
random sample of units is selected from one population, units randomly assigned to different treatments
Survey (samples randomly selected)
or
observational study (collection of available units):
no random assignment of treatments
Statistical inference permitted Causal inference can be drawnAssociation, but NO causal inference


Modern concern: Avoid studying OFAAT (One Factor At A Time):

Stylized aerial view of an agricultural experiment: