Practical Design of Experiments - DoE Made Easy! (Statistics for Engineers)
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Note, however, that the package is only useful in combination with at least one of the commercial optimizers Gurobi R-package gurobi delivered with the software or Mosek R-package Rmosek downloadable from the vendor an outdated version is on CRAN. Package dae provides various utility functions around experimental design and R factors, e.
Furthermore, the package provides features for post-processing objects returned by the aov function, e. Package daewr accompanies the book Design and Analysis of Experiments with R by Lawson and does not only provide data sets from the book but also some standalone functionality that is not available elsewhere in R, e.
Design of Experiments (DOE) II: Applied DOE for Test and Evaluation
It has some interesting sample size estimation functionality, but is almost unusable without the book the first edition of which I would not recommend buying. Package blockTools assigns units to blocks in order to end up with homogeneous sets of blocks in case of too small block sizes; package blocksdesign permits the creation of nested block structures.
There are several packages for determining sample sizes in experimental contexts, some of them quite general, others very specialized. Package JMdesign deals with the power for the special situation of jointly modeling longitudinal and survival data, package PwrGSD with the power for group sequential designs, package powerGWASinteraction with the power for interactions in genome wide association studies, package ssizeRNA with sample size for RNA sequencing experiments, and package ssize.
Experimental designs for industrial experiments Some further packages especially handle designs for industrial experiments that are often highly fractionated, intentionally confounded and have few extra degrees of freedom for error. Package FrF2 Groemping is the most comprehensive R package for their creation. It generates regular Fractional Factorial designs for factors with 2 levels as well as Plackett-Burman type screening designs. Regular fractional factorials default to maximum resolution minimum aberration designs and can be customized in various ways, supported by an incorporated catalogue of designs including the designs catalogued by Chen, Sun and Wu , and further larger designs catalogued in Block and Mee and Xu ; the additional package FrF2.
Analysis-wise, FrF2 provides simple graphical analysis tools normal and half-normal effects plots modified from BsMD , cf.
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It can also show the alias structure for regular fractional factorials of 2-level factors, regardless whether they have been created with the package or not. Fractional factorial 2-level plans can also be created by other R packages, namely BHH2 and qualityTools but do not use function pbDesign from version 1. Package ALTopt provides optimal designs for accelerated life testing. It can generate full and fractional factorial two-level-designs from a number of factors and a list of defining relations function ffDesMatrix , less comfortable than package FrF2.
It also provides several functions for analyzing data from 2-level factorial experiments: The function anovaPlot assesses effect sizes relative to residuals, and the function lambdaPlot assesses the effect of Box-Cox transformations on statistical significance of effects. BsMD provides Bayesian charts as proposed by Box and Meyer as well as effects plots normal, half-normal and Lenth for assessing which effects are active in a fractional factorial experiment with 2-level factors; package OBsMD provides the functionality for follow- up experiments for resolving ambiguities after applying the Bayesian analysis of package BsMD.
Package unrepx provides a battery of methods for the assessment of effect estimates from unreplicated factorial experiments, including many of the effects plots also present in other packages, but also further possibilities. The small package FMC provides factorial designs with minimal number of level changes; the package does not take any measures to account for the statistical implications this may imply.
Practical Design of Experiments (DOE) | ASQ
Thus, using this package must be considered very risky for many experimental situations, because in many experiments some variability is caused by level changes. For such situations and they are the rule rather than the exception , minimizing the level changes without taking precautions in the analysis will yield misleading results.
Package pid accompanies an online book by Dunn and also makes heavy use of the Box, Hunter and Hunter book; it provides various data sets, which are mostly from fractional factorial 2-level designs. Myers and Montgomery : Package rsm supports sequential optimization with first order and second order response surface models central composite or Box-Behnken designs , offering optimization approaches like steepest ascent and visualization of the response function for linear model objects.
Also, coding for response surface investigations is facilitated. The small package rsurface provides rotatable central composite designs for which the user specifies the minimum and maximum of the experimental variables instead of the corner points of the cube. The small package minimalRSD provides central composite and Box-Behnken designs with minimal number of level changes; the package does not take any measures to account for the statistical implications this may imply.
Package OptimaRegion provides functionality for inspecting the optimal region of a response surface for quadratic polynomials and thin-plate spline models and can compute a confidence interval for the distance between two optima. Package Vdgraph implements a variance dispersion graph Vining for response surface designs created by package rsm. Packages VdgRsm and vdg provide similar functionality with more variety.
Package qualityTools can also create central composite designs and can visualize response surfaces. Experimental designs for computer experiments Computer experiments with quantitative factors require special types of experimental designs: it is often possible to include many different levels of the factors, and replication will usually not be beneficial. Experimental designs for clinical trials This task view only covers specific design of experiments packages which will eventually also be removed here ; there may be some grey areas.
Package experiment contains tools for clinical experiments, e. Package ThreeArmedTrials provides design and analysis tools for three-armed superiority or non-inferiority trials. Beside the standard functionality, the package includes the negative Binomial response situation discussed in Muetze et al. Package gsDesign implements group sequential designs, package GroupSeq gives a GUI for probability spending in such designs, package OptGS near-optimal balanced group sequential designs.
Package gsbDesign evaluates operating characteristics for group sequential Bayesian designs. Package gset handles group sequential equivalence testing. Package seqDesign handles group sequential two-stage treatment efficacy trials with time-to-event endpoints.
Task view: Design of Experiments (DoE) & Analysis of Experimental Data
Package binseqtest handles sequential single arm binary response trials. Package asd implements adaptive seamless designs see e. Parsons et al. Package OptInterim is for two- and three-stage designs for longterm binary endpoints. Package BOIN provides Bayesian optimal interval designs, which are used in phase I clinical trials for finding the maximum tolerated dose.
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The DoseFinding package provides functions for the design and analysis of dose-finding experiments for example pharmaceutical Phase II clinical trials ; it combines the facilities of the "MCPMod" package maintenance discontinued; described in Bornkamp, Pinheiro and Bretz with a special type of optimal designs for dose finding situations MED-optimal designs, or D-optimal designs, or a mixture of both; cf.
Package VNM provides multi-objective optimal designs for simultaneously optimizing inference about the shape of the dose-response curve, ED50 and minimum effective dose MED for certain classes of logistic models. Package dfpk implements a Bayesian dose-finding design using pharmacokinetics for phase I trials. Packages ph2bayes and ph2bye are concerned with Bayesian single arm phase II trials. Experimental designs for special purposes Various further packages handle special situations in experimental design: Package desirability provides ways to combine several target criteria into a desirability function in order to simplify multi-criteria analysis; desirabilities are also offered as part of package qualityTools.
Package docopulae implements optimal designs for copula models according to Perrone and Mueller , optDesignSlopeInt provides an optimal design for the estimation of the ratio of slope to intercept, and Packages edesign and MBHdesign provide spatially balanced designs, allowing the inclusion of prespecified legacy sites. The more elaborate package geospt allows to optimize spatial networks of sampling points see e. Santacruz, Rubiano and Melo Package SensoMineR contains special designs for sensometric studies, e.
Package choiceDes creates choice designs with emphasis on discrete choice models and MaxDiff functionality; it is based on optimal designs. Package idefix provides D-efficient designs for discrete choice experiments based on the multinomial logit model, and individually adapted designs for the mixed multinomial logit model Crabbe et al. Package support. CEs provides tools for creating stated choice designs for market research investigations, based on orthogonal arrays.
Package odr creates optimal designs for cluster randomized trials under condition- and unit-specific cost structures. Package bioOED offers sensitivity analysis and optimal design for microbial inactivation. Key references for packages in this task view Atkinson, A. Optimum Experimental Designs. Oxford: Clarendon Press. Atkinson, A. Oxford University Press, Oxford. Optimal Sliced Latin Hypercube Designs. Technometrics 57 Bailey, R. A unified approach to design of experiments. Ball, R. Genetics Bischl, B. Blanchard, M. Contemporary Clinical Trials doi Block, R. Resolution IV Designs with Runs.
Journal of Quality Technology 37 Bornkamp B. Journal of Statistical Software 29 7 Box G. P, Hunter, W. Statistics for Experimenters 2nd edition. New York: Wiley. Box, G. P and R. Meyer An Analysis for Unreplicated Fractional Factorials. Technometrics 28 Journal of Quality Technology 25 Chasalow, S.