Statistical assumption

Inferring interesting conclusions about real statistical populations almost always requires some background assumptions.

In the design-based approach, the model is taken to be known, and one of the goals is to ensure that the sample data are selected randomly enough for inference.

Scenario: Imagine a study assessing the effectiveness of a new teaching method in multiple classrooms.

Students within the same classroom may share common characteristics or experiences, leading to correlated observations.

Consequence: Failure to account for this lack of independence may inflate the perceived impact of the teaching method, as the outcomes within a classroom may be more similar than assumed.