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CSSGB · Question #80

Use the following design matrix display to answer the following questions. Answer:

The correct answer is C. standard order. In a Design of Experiments (DOE) context, a design matrix is displayed in standard order - the systematic, structured arrangement of all treatment combinations following Yates' order (e.g., factors cycle through low/high levels in a fixed pattern like −, +, −, +...). This is…

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Question

Use the following design matrix display to answer the following questions. Answer:

Exhibit

CSSGB question #80 exhibit

Options

  • Arandom order
  • Brun order
  • Cstandard order
  • Dnone of the above
  • Eall of the above

How the community answered

(40 responses)
  • A
    8% (3)
  • B
    18% (7)
  • C
    70% (28)
  • D
    3% (1)
  • E
    3% (1)

Explanation

In a Design of Experiments (DOE) context, a design matrix is displayed in standard order - the systematic, structured arrangement of all treatment combinations following Yates' order (e.g., factors cycle through low/high levels in a fixed pattern like −, +, −, +...). This is the canonical, pre-randomized listing of runs used to define the experiment's structure.

Why the distractors are wrong:

  • A (random order): The design matrix display is not randomized - randomization happens separately when assigning actual run order.
  • B (run order): Run order is the randomized sequence in which experiments are physically executed, which differs from the structured display.
  • D/E: Since only C is correct, "none" and "all" are both eliminated.

Memory tip: Think "Standard = Structured/Systematic" - the design matrix is always shown in a neat, predictable standard order before you randomize it into a run order for actual execution. If it looks organized and patterned, it's standard order.

Topics

#design matrix#factorial design#DOE#experimental analysis

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