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2.42.1.1 The Power and Sample Size (DOE) Dialog Box

Supporting Information

To open the Power and Sample Size dialog

Select Statistics: Quality Improvement: Design of Experiment from Origin menu
Select the Power and Sample Size icon

Topics for Further Reading:

Select a factorial type from the list below.

Number of Factors	The number of factors. Together with the fraction, this determines the base number of corner-point runs.
Fraction	The fraction of the full factorial to run.
Number of Blocks	Blocks group runs performed under homogeneous conditions. Default is 1 (unblocked design).
Number of Terms Omitted from Model	Terms deliberately left out of the fitted model; reducing model terms increases the available degrees of freedom for error and raises power. Default is 0.
Include Blocks in Model	When ON, block effects are estimated and removed from the error term, protecting the analysis if block-to-block variation exists.
Include Term for Center Points in Model	When ON, Origin fits a center-point (curvature) term, which slightly reduces power for factorial effects but allows a test for curvature.

Number of Factors	The number of factors.
Number of Corner Points	The size of the Plackett-Burman design - must be a multiple of 4 and, as the note states, no less than 12 (12 is the smallest standard Plackett-Burman design; the next sizes are 16, 20, 24, ...).
Number of Main Effect Terms Omitted from Model	Main effects deliberately excluded from the fitted model (default 0). Omitting terms frees degrees of freedom for error, which raises power
Include Term for Center Points in Model	When ON (as shown), Origin fits a center-point term so you can test for curvature across factors.

Number of Factors	The number of factors.
Number of Levels for Each Factor	One text box per factor - enter each factor's level count individually (e.g., 3, 2, 4 for a 324 design). The total base run count is the product of these values (3 * 2 * 4 = 24 runs before replication).
Model Order	The highest-order interaction included in the model: 1 = main effects only, 2 = main effects + two-factor interactions, 3 = up to three-factor interactions, and so on.
Block on Replicates and Include Blocks in Model	When ON, each replicate of the design is treated as a block, and block effects are estimated and removed from the error term.

Calculate	Select the quantity to compute: Replicates Effects Power Number of Center Points per Block
Replicates	Number of repetitions of the entire design. Disabled when it is the calculated quantity.
Effects	The minimum effect size to detect, in the response units of the measurement (can be a list of values).
Power	Desired power for detecting the specified effect(s); values between 0 and 1. Common targets: 0.8 to 0.9 (can be a list).
Number of Center Points per Block	Center-point runs added per block to estimate pure error and test for curvature.
Standard Deviation	The estimate of experimental noise (sigma), from historical data
Significance Level	Alpha - the risk of declaring an inactive effect significant. Default 0.05.

Save and load the settings of the dialog.