Complex experimental designs are statistical designs that isolate the effects of
confounding extraneous variables or allow for the manipulation of more than one
independent variable.
Completely Randomized Designs
A completely randomized design is an experimental design that uses a
random process to assign subjects to treatment levels of an experimental
variable.
Randomization is an attempt to control extraneous variables while
manipulating potential causes.
A random number process can be used to assign subjects to one of the
treatment groups.
Randomized Block Design
The randomized block design is an extension of the completely randomized
design.
A form of randomization is utilized to control for most extraneous variables.
However, if the researcher has identified a single extraneous variable that
might affect subjects’ responses systematically, then the researcher will
attempt to isolate the single variable by blocking out its effects.
A blocking variable is a categorical variable that is expected to be associated
with different values of a dependent variable for each group (e.g., biological
sex).
The term randomized block originated in agricultural research that applied
several levels of a treatment variable to each of several blocks of land.
In business research, the researcher may wish to isolate block effects such as
store size, territory location, market shares of the test brand or its major
competition, per capita consumption levels for a product class, city size, etc.
Factorial Designs
Allow for the testing of the effects of two or more treatments (factors) at
various levels.
Main effects are differences (in the dependent variable) between treatment
levels.
Interactions produce differences (in the dependent variable) between
experimental cells based on combinations of variables.
For example, with an experiment with three levels of one factor (e.g., three
levels of price) and two levels of another (e.g., two packaging designs), we
have a 3 x 2 (read “three by two”) factorial design because the first factor is
varied in three ways and the second factor is varied in two ways.
A 3 x 2 design requires six cells, or six experimental groups (3 x 2 =
6).
If the subjects each receive only one combination of experimental
variables, then we use the term 3 x 2 between-subjects design to
describe the experiment.
The number of treatments (factors) and the number of levels of each
treatment identify the factorial design.