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##### Asked by: Dikra Aranagoitia

technology and computing programming languages# What is a complete factorial design?

Last Updated: 17th February, 2020

**Complete Factorial Design**- (CFD) A CFD consists of all combinations of all factor-levels of each factor. A CFD is capable of estimating all factors and their interactions. For example, a

**complete factorial design**of three factors, each at two levels, would consist of 23 = 8 runs.

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Also asked, what is meant by full factorial design?

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.

Similarly, how do you identify a factorial design? Essentially, the name of a **factorial design** depends on the levels of the independent variables. The first number is how many levels (or values) there are of the first factor, and the second number is how many levels there are of the second factor.

One may also ask, what are levels in factorial design?

In **factorial designs**, a factor is a major independent variable. In this example we have two factors: time in instruction and setting. A **level** is a subdivision of a factor. In this example, time in instruction has two **levels** and setting has two **levels**. Sometimes we depict a **factorial design** with a numbering notation.

What is a 3x4 factorial design?

Numbering Notation. -number of numbers refers to total number of factors in **design** 2x2 = 2 factors. 2x2x2 = 3 factors. -the number values refer to the number of levels of each factor; **3x4** = 2 factors, one with 3 levels and one with 4 levels.