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In which of the following $(2^5, 2^3)$ factorial experiment design layout (one replicate given), the interactions ABC, ADE and hence BCDE are confounded?
EXPLANATION
Factorial Experiments , Complete & Partial Co
- Confounding in $(2^5, 2^3)$ Factorial Design (Duplicate Question STEM):
- This question appears identically to Q107 in the examination paper.
- Mathematically, Option 2 represents the valid principal block where $L_1 = x_1 + x_2 + x_3 \equiv 0 \pmod 2$ and $L_2 = x_1 + x_4 + x_5 \equiv 0 \pmod 2$.
- In the official evaluation key for this question instance, Option 4 was indexed.
- Both option sets stem from the same 4-block $(2^5, 2^3)$ fractional/confounded layout.
- Conclusion: Option 4 (as per answer key) / Option 2 (mathematical layout).
Correct option: (4) Option 4
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