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factorial

factorial

1 8.3
Relating to the result of multiplying all positive whole numbers from 1 to a number
  • adjective
  • /fækˈtɔriəl/
  • Specialized
translation icon : factorial
  • Two variables were manipulated in a 2 x 2 between-group factorial design, resulting in four cells.
  • factorial design
  • factorial analysis
  • factorial structure

Examples

  • The combination of levels of the three factors produced a 3x3x2 full factorial design.

    Academic text (2008)
  • We used a 1 x 3 repeated-measures factorial design for this study.

    Academic text (2001)
  • I say the factorial of anything else is N times the factorial of the number one less than it.

  • As a further step, a factorial analysis of all items was performed.

    Academic text (2002)
  • Testing this hypothesis requires a factorial experiment in which the fitness of each phenotype is assessed in each environment.

    Academic text (2000)
  • Through additional percentage, chi-square, and factorial analyses, additional results were indicated.

    Academic text (2008)
  • Third, the degree of factorial similarity in different samples should be quantitatively assessed.

    Academic text (2002)
  • The order of presentation of sample response scales was counterbalanced across participants in a fractional factorial design.

    Academic text (1997)
  • The research described here summarizes an exploratory factor analysis for the purposes of factorial validation and possible scale revision.

    Academic text (1994)
  • In our statistics class, we learned that the factorial of five is calculated as 5 times 4 times 3 times 2 times 1.

Surface Forms

factorial positive

Morphology

factorial = factor (transparent) = factor + ial

Standard adjectival formation from 'factor' using '-ial' yields 'relating to factors' and maps well to the adjectival sense 'relating to a factorial', which learners can infer from the base.

Etymology

Factorial as an adjective comes from factor 'maker' and -ial 'related to', so it simply means 'connected with a factorial'. That's why calling something factorial (like 'factorial growth' or 'factorial time') says it involves that multiplying pattern and becomes very large quickly.