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Compare Changes without Overclaiming Causation - Practice 1

A difference-in-differences calculation subtracts the comparison group's change from the focal group's change.

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A difference-in-differences calculation subtracts the comparison group's change from the focal group's change. Causal interpretation needs assumptions such as comparable underlying trends and no other differential changes. These fictional historical data are only arithmetic practice.

Worked example

A rises from 20 to 30; B rises from 15 to 19. The change difference is 10 - 4 = 6, not proof by itself that a policy caused 6.

A rises from 20 to 30; B rises from 15 to 19. The change difference is 10 - 4 = 6, not proof by itself that a policy caused 6.
A rises from 20 to 30; B rises from 15 to 19. The change difference is 10 - 4 = 6, not proof by itself that a policy caused 6.
Question 1 Fictional comparison 1: A changes from 20 to 30; B changes from 15 to 19. What is A's change minus B's change?
Question 2 Fictional comparison 2: A changes from 21 to 32; B changes from 16 to 21. What is A's change minus B's change?
Question 3 Fictional comparison 3: A changes from 22 to 34; B changes from 17 to 23. What is A's change minus B's change?
Question 4 Fictional comparison 4: A changes from 23 to 36; B changes from 18 to 22. What is A's change minus B's change?
Question 5 Fictional comparison 5: A changes from 24 to 38; B changes from 19 to 24. What is A's change minus B's change?