Statistical Significance Versus Practical Significance

What does the term 'practical significance' refer to in the context of research findings?

A clinical study finds that a new therapy reduces anxiety scores by 0.1 points on a 100-point scale. Even if the researchers are mathematically certain that this reduction is a real effect and not a fluke, the finding would likely be described as lacking practical significance.

In psychological research, a result can be statistically significant without having real-world importance. Match each research outcome with the label that best characterizes its practical significance based on the meaningfulness of the effect.

Arrange the logical steps a researcher must follow to analyze whether a mathematically reliable finding also possesses practical significance for a real-world psychological intervention.

A clinical psychologist is designing a study for a new treatment for Social Anxiety Disorder. To ensure that any successful result possesses practical significance, which of the following evaluation frameworks should the psychologist construct as part of the study design?

Example of Lacking Practical Significance

Clinical Significance

In psychological research, a finding that is statistically significant guarantees that the result also possesses practical significance in everyday life.

A study of $15,000$ students finds that a new teaching method improves test scores by an average of $0.05$ points on a $100$-point scale, a result that is statistically significant ($p < .01$). A school board reviews this finding and decides not to adopt the method, reasoning that a gain this small would have no meaningful impact on student success. The board is concluding that the finding lacks _____.

Match each hypothetical research outcome with the description that best characterizes its significance based on the relationship between mathematical reliability and real-world utility.

A researcher finds a statistically significant difference in memory recall between two groups, but the actual difference is only $0.1$ points on a $100$-point scale. Although mathematically reliable, this finding is considered to lack _____ significance because the observed effect is too trivial to have any meaningful impact in everyday life.

Order the steps a researcher takes when evaluating a research finding to determine if its statistical significance translates to practical significance.