Can you have a 3×3 factorial design?
To illustrate a 3 x 3 design has two independent variables, each with three levels, while a 2 x 2 x 2 design has three independent variables, each with two levels. In principle, factorial designs can include any number of independent variables with any number of levels.
How many conditions are in a 2×3 design?
6 conditions
9.1.3 2 x 3 designs It’s a 2×3 design, so it should have 6 conditions. As you can see there are now 6 cells to measure the DV.
How many main effects are there in a 3×3 factorial design?
7 main effects
With 7 main effects and interactions (and myriad simple effects) you have to be careful to get the correct part of the design that is “the replication” of an earlier study.
How many interactions does a 2x2x2 design have?
1 interaction
For a 2×2 design there is only 1 interaction. The interaction between IV1 and IV2. This occurs when the effect of say IV2 (whether there is a difference between the levels of IV2) changes across the levels of IV1.
What is a three level full factorial design?
Three-level full factorial designs. Three-level designs are useful for investigating quadratic effects The three-level design is written as a 3 k factorial design. It means that k factors are considered, each at 3 levels. These are (usually) referred to as low, intermediate and high levels.
What are the different types of factorial designs?
Three-level, mixed-level and fractional factorial designs. Mixed level designs have some factors with, say, 2 levels, and some with 3 levels or 4 levels The 2 k and 3 k experiments are special cases of factorial designs. In a factorial design, one obtains data at every combination of the levels.
What are the three levels of k factorization?
It means that k factors are considered, each at 3 levels. These are (usually) referred to as low, intermediate and high levels. These levels are numerically expressed as 0, 1, and 2. One could have considered the digits -1, 0, and +1, but this may be confusing with respect to the 2-level designs since 0 is reserved for center points.
What are the downsides of a full factorial design?
However, additional factors and factor levels rapidly increase the size of the full factorial design. This is often the downside to this design approach. When a test has more than four factors, a full factorial design may contain more runs than necessary. STAT COE-Report-35-2018 Page 8