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Part CCSIR NET December 2025the-defining-contrasts-are-the-orthogonal-complement-of-the-principal-block-not-the-principal-block-itself

The defining contrasts are the orthogonal complement of the principal block not the principal block itself

Consider the following 252^{5}-factorial design with 8 blocks (Block 1: (1), acd, bce, abde; Block 2: e, acde, bc, abd; and six further blocks). Which of the following statements are true?

  1. A.ABC is confounded with blocks
  2. B.BCD is confounded with blocks
  3. C.CDE is confounded with blocks
  4. D.ABDE is confounded with blocks

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

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More on this topic

The chapter behind this: Design of experiments essentials — free to read

From Sampling and Design of ExperimentsCRD, RBD, LSD essentials

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