Understanding Degrees of Freedom (df) Degrees of freedom (df) is a statistical idea that tells us how many values in a dataset are free to vary once certain calculations—like a mean—are already set. Think of it as the number of independent pieces of information you actually have when you’re trying to estimate something about a larger population (Sutton, 2020). Reference: Sutton, G. W. (2020). Applied statistics: Concepts for counselors (2nd ed.). Sunflower. ***** A Psychology Example: Measuring Change After an Intervention Imagine a psychologist wants to know whether a new therapeutic intervention boosts self‑esteem. They measure self‑esteem for 10 participants before the intervention and again afterward. To analyze the results, they use a dependent samples t‑test (paired samples t‑test). This test compares two related sets of scores—like “before” and “after” scores from the same people. For this test, degrees of freedom are: df = n - 1 With 10 participants: df = ...
Find tests, questionnaires, examples of charts, and tips on statistics related to psychology, counseling, social work and other behavioral science fields. I may earn from purchases of advertised or linked products. Note: Most tests and questionnaires are for research purposes and not for personal assessment. Readers interested in personal evaluations should consult a psychologist or other qualified provider. As an Amazon associate, I earn money from qualifying purchases.