Factorial experiments

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Joanne Xiong

Data Scientist

Factorial designs

  • 2 or more factor variables are combined and crossed
  • All of the possible interactions between levels of factors are considered as effects on the outcome
    • Example: high/low water and high/low sunlight's effect on plant growth.
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Factorial example

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2^k factorial experiments

  • 2^k factorial experiments involve k factor variables with 2 levels
  • It results in 2^k number of combinations of effects to test
  • Analyzed with a linear model and ANOVA
  • Also use TukeyHSD() to determine which combinations are significantly different
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Let's practice!

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