In a full factorial experimental design, factors A and B are both tested at 4 levels. How many experiments are conducted?

The correct answer is D. 16. In a full factorial design, every possible combination of factor levels is tested, so the total number of experiments equals the product of the levels across all factors: 4 × 4 = 16. Option A (8) results from incorrectly adding the levels (4 + 4) rather than multiplying them…

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(25 responses)

B
8% (2)
C
4% (1)
D
88% (22)

Explanation

In a full factorial design, every possible combination of factor levels is tested, so the total number of experiments equals the product of the levels across all factors: 4 × 4 = 16. Option A (8) results from incorrectly adding the levels (4 + 4) rather than multiplying them. Option B (9) would only be correct if both factors had 3 levels (3²), not 4. Option C (12) has no clean derivation from the given parameters and likely reflects a miscalculation or confusion with a different design. Memory tip: Think of full factorial as filling a grid - with Factor A forming 4 columns and Factor B forming 4 rows, you have 4 × 4 = 16 cells to fill, one experiment per cell.

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#full factorial design#factor levels#experimental runs

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