factorial$27199$ - definizione. Che cos'è factorial$27199$
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Cosa (chi) è factorial$27199$ - definizione

EXPERIMENT WHOSE DESIGN CONSISTS OF TWO OR MORE FACTORS, EACH WITH DISCRETE POSSIBLE VALUES, AND WHOSE EXPERIMENTAL UNITS TAKE ON ALL POSSIBLE COMBINATIONS OF THESE LEVELS ACROSS ALL SUCH FACTORS
Factorial experiments; Factorial design; Fully-crossed design; Fully crossed design; Factorial designs; Factorial trial
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Cube plot for factorial design
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  • Pareto plot]] showing the relative magnitude of the factor coefficients.
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Factorial         
  • Absolute values of the complex gamma function, showing poles at non-positive integers
  • The gamma function (shifted one unit left to match the factorials) continuously interpolates the factorial to non-integer values
  • <math>(n/e)^n</math>,}} on a doubly logarithmic scale
  • [[Relative error]] in a truncated Stirling series vs. number of terms
  • TI SR-50A]], a 1975 calculator with a factorial key (third row, center right)
PRODUCT OF ALL INTEGERS BETWEEN 1 AND THE INTEGRAL INPUT OF THE FUNCTION
Factorial function; Factorials; Superduperfactorial; N!; Factorial number; Factoral; Factorial growth; X!; ! (math); Approximations of factorial; Negative factorial
In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial:
factorial         
  • Absolute values of the complex gamma function, showing poles at non-positive integers
  • The gamma function (shifted one unit left to match the factorials) continuously interpolates the factorial to non-integer values
  • <math>(n/e)^n</math>,}} on a doubly logarithmic scale
  • [[Relative error]] in a truncated Stirling series vs. number of terms
  • TI SR-50A]], a 1975 calculator with a factorial key (third row, center right)
PRODUCT OF ALL INTEGERS BETWEEN 1 AND THE INTEGRAL INPUT OF THE FUNCTION
Factorial function; Factorials; Superduperfactorial; N!; Factorial number; Factoral; Factorial growth; X!; ! (math); Approximations of factorial; Negative factorial
<mathematics> The mathematical function that takes a natural number, N, and returns the product of N and all smaller positive integers. This is written N! = N * (N-1) * (N-2) * ... * 1. The factorial of zero is one because it is an {empty product}. Factorial can be defined recursively as 0! = 1 N! = N * (N-1)! , N > 0 The gamma function is the equivalent for real numbers. (2005-01-07)
Factorial         
  • Absolute values of the complex gamma function, showing poles at non-positive integers
  • The gamma function (shifted one unit left to match the factorials) continuously interpolates the factorial to non-integer values
  • <math>(n/e)^n</math>,}} on a doubly logarithmic scale
  • [[Relative error]] in a truncated Stirling series vs. number of terms
  • TI SR-50A]], a 1975 calculator with a factorial key (third row, center right)
PRODUCT OF ALL INTEGERS BETWEEN 1 AND THE INTEGRAL INPUT OF THE FUNCTION
Factorial function; Factorials; Superduperfactorial; N!; Factorial number; Factoral; Factorial growth; X!; ! (math); Approximations of factorial; Negative factorial
·adj Related to factorials.
II. Factorial ·adj Of or pertaining to a factory.
III. Factorial ·noun The product of the consecutive numbers from unity up to any given number.
IV. Factorial ·noun A name given to the factors of a continued product when the former are derivable from one and the same function F(x) by successively imparting a constant increment or decrement h to the independent variable. Thus the product F(x)·F(x + h)·F(x + 2h)· ... ·F(x + (n - 1)·h) is called a factorial term, and its several factors take the name of factorials.

Wikipedia

Factorial experiment

In statistics, a full factorial experiment is an experiment whose design consists of two or more factors, each with discrete possible values or "levels", and whose experimental units take on all possible combinations of these levels across all such factors. A full factorial design may also be called a fully crossed design. Such an experiment allows the investigator to study the effect of each factor on the response variable, as well as the effects of interactions between factors on the response variable.

For the vast majority of factorial experiments, each factor has only two levels. For example, with two factors each taking two levels, a factorial experiment would have four treatment combinations in total, and is usually called a 2×2 factorial design. In such a design, the interaction between the variables is often the most important. This applies even to scenarios where a main effect and an interaction is present.

If the number of combinations in a full factorial design is too high to be logistically feasible, a fractional factorial design may be done, in which some of the possible combinations (usually at least half) are omitted.