What is a 2×2 factorial design?
an experimental design in which there are two independent variables each having two levels. When this design is depicted as a matrix, two rows represent one of the independent variables and two columns represent the other independent variable. See factorial design. …
How many independent variables are in a 2×2 factorial design?
two variables
This particular design is referred to as a 2 × 2 (read “two-by-two”) factorial design because it combines two variables, each of which has two levels.
How many main effects and interactions can you look for in a 2×2 factorial design?
Let’s take the case of 2×2 designs. There will always be the possibility of two main effects and one interaction. You will always be able to compare the means for each main effect and interaction.
What is the dependent variable in a 2×2 factorial design?
This is an example of a 2×2 factorial design because there are two independent variables, each with two levels: What is this? And there is one dependent variable: Plant growth.
What is the main disadvantage of factorial designs?
The Pros and Cons of Factorial Design The main disadvantage is the difficulty of experimenting with more than two factors, or many levels. A factorial design has to be planned meticulously, as an error in one of the levels, or in the general operationalization, will jeopardize a great amount of work.
When to use sums in 2 x 2 factorial design?
Typically, sums of squares of Types II and III (SS II and SS III) are applied as correction methods when the data in an experiment are unbalanced. In a 2 x 2 factorial design, equal numbers in each group results in balance or orthogonality of the two factors and this ensures the validity of the comparison between the levels of the factors.
Who are the fangshi and what did they do?
Fangshi ( Chinese: 方士; pinyin: fāngshì; literally: ‘method master’) were Chinese technical specialists who flourished from the third century BCE to the fifth century CE. English translations of fangshi include alchemist, astrologer, diviner, exorcist, geomancer, doctor, magician, mountebank, monk, mystic, necromancer,…
When was the reign of fangshi in China?
Fangshi ( Chinese: 方士; pinyin: fāngshì; lit. ‘method master’) were Chinese technical specialists who flourished from the third century BCE to the fifth century CE.
What is the problem with unbalanced factorial designs?
The core of the problem with unbalanced data is that in a factorial design the treatment contrasts become correlated or non-orthogonal when unequal numbers of subjects are present in the various groups. To some extent, this makes the estimates dependent on each other.