Effects

Functions > Design of Experiments > Factor Screening > Effects

Effects

• quickscreen(A, Y, [“fac”/order])—Returns the mean response for each main factor and for blocking of a 2-level experiment that has its runs defined in the coded design matrix A and its results recorded in the matrix Y. You can use the optional arguments “fac” or order to include interactions or to report only specific factors, blocking, and interactions.

This function applies only to 2–level designs in their coded form (+1/-1) and with a maximum of 2 blocks.

The matrix returned by quickscreen has the following columns:

Column	Description
0	Labels for each factor or interaction reported upon
1, 2	Low (-) and high (+) level average of each factor or interaction First (-) and second (+) block average when blocking is present
3	Effect—Difference between the values in columns 1 and 2

• effects(A, Y, [“fac”/order])—Returns the level effects associated with each main factor and with blocking of an experiment that has its runs defined in the design matrix A and its results recorded in the matrix Y. You can use the optional arguments “fac” or order to include interactions or to report only specific factors, blocking, and interactions.

For information on the computations of the effects, see Applied Linear Statistical Models by John Neter, Michael H. Kutner, Christopher J. Nacthsheim, and William Wasserman.

The matrix returned by effects has the following columns:

Column	Description
0	Labels for each factor, interaction, or blocking reported upon
1	Arrays summarizing the effects for each combination of levels of the factor, interaction, or blocking

Arguments

• A is a design matrix.

• Y is a vector or a matrix of measured or simulated results with each row containing the results for each run defined in A. When the runs do not all have the same number of replicates, you must pad the empty elements of Y with NaNs. The elements of matrix Y must have compatible units.

• “fac” (optional) is a string specifying the factors, the interactions, and the blocking on which to report, such as “A, AD, Blocks”. For the separators, you can use a space, a comma, a colon, or a semicolon.

• order (optional) is an integer specifying the order of the interactions on which to report. order ≥ 1.