If an experiment has 5 factors and no replicates for a 2-level Experimental Design with 16 experimental runs which statement(s) are correct? (Note: There are 3 correct answers).
If an experiment has 5 factors and no replicates for a 2-level Experimental Design with 16 experimental runs which statement(s) are correct? (Note: There are 3 correct answers).
In a 2-level factorial design with 5 factors and 16 experimental runs, the design is a full factorial design (not half-fractional as there are no fractions in 16 runs for 5 factors). The main effects are confounded only with higher-order interactions (4-way and higher). The two-way interactions can be confounded with the three-way interactions. Hence, the main effects are unconfounded or not aliased but are confounded with four-way interactions, and the experimental design is not half-fractional but rather full factorial. Therefore, A, B, and C are correct: the main effects are not confounded but the 2-way interactions are confounded with 3-way interactions, the main effects are confounded with only 4-way interactions, and the design is half-fractional.
Just memorize: 4-way interactions 8-experimental runs half-factorial.