Statistics MCQs, Data Analysis, Stat Software
Lecture notes and quizzes related to the Design of Experiments (DOE).
The layout of a factorial design is typically organized in a table format. Each row of the table represents an experimental run, while each column represents a factor or the response variable. The levels of factors are indicated by symbols such as + and – for high and low levels, …
The smallest case of a $2^K$ factorial experiment is one in which 2 factors are of interest and each factor has two levels. This design is known as a $2^2$ factorial design. We are interested in Factor effects or Effects of Factors. The level of the factors (say $a$’ and$b$’) …
The Factorial Experiment advantages and disadvantages over One-Factor-at-a-time Experiment. Factorial Experiment Advantages Effect of changing factor $A = A_2 B_1 – A_1B_1$ Effect of changing factor $B = A_1B_2 – A _1 B_1$ Three treatment combinations are used for two effects for error estimation we need two replicates so six …
In factorial experiments, the effect of two or more factors, each at two or more discrete possible levels are simultaneously investigated for all possible combinations using some suitable basic experimental design. The experiment allows us to estimate the effect of each factor and the interaction effect of factors on the …