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DOE¶
These pages hold the mathematics the Design of Experiments tools share. Each one is included inline on the tool pages that use it, so a tool's own Math Details page carries the equations you need without a detour, and these pages are where the full treatment lives.
| Page | What it covers |
|---|---|
| Design Coding | Autocode, Standardize and Do not code the design, and the one expression all coded values come from |
| Prediction Equation | How a prediction is formed for a quantitative, binary or nominal output, and the prediction interval and capability figures beside it |
| Sums of Squares | Sequential and adjusted sums of squares, the per-term tests, pure error, lack of fit, and variance inflation factors |
| Power and Sample Size | The noncentral F calculation, both design forms, and the central composite axial value |
| Regression Diagnostics | Leverage, the two studentized residuals, Cook's D, and the coefficient standard errors, covariance matrix and confidence bounds |
| Logistic Estimation | The log-likelihood both logistic engines maximise, how the fit iterates and half steps, the test on a coefficient, and the Pearson and deviance goodness of fit block |
| Aliasing and Resolution | Design generators, the defining relation and word length, how resolution and blocked resolution are formed, what a line of the alias table holds, and what a fold changes |