Package 'daewr'

Description

This package contains the data sets and functions from the book Design and Analysis of Experiments with R published by CRC in 2013.

Author(s)

John Lawson

Maintainer: John Lawson <[email protected]>

References

J. Lawson, Design and Analysis of Experiments with R, CRC 2013.

Description

Recalls Jones and Montgomery's 16 run screening designs from data frames

Usage

Altscreen(nfac, randomize=FALSE)

Arguments

Value

a data frame containing the alternate screening design

Author(s)

John Lawson

References

Jones, B. and Montgomery, D. C. (2010) "Alternatives to resolution IV screening designs in 16 runs", Int. J. Experimental Design and Process Optimization, Vol 1, No. 4, 2010.

Description

Data from the Two-period crossover study of an antifungal agent in chapter 9 of Design and Analysis of Experiments with R

Usage

data(antifungal)

Format

A data frame with 34 observations on the following 5 variables.

Group

a factor with levels 1 2

Subject

a factor with levels 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18

Period

a factor with levels 1 2

Treat

a factor with levels A B

pl

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(antifungal)

Description

Data from the apolipoprotein survey variance component study of Chapter 5 in Design and Analysis of Experiments with R

Usage

data(Apo)

Format

A data frame with 30 observations on the following 2 variables.

lab

a factor with levels A B C D

conc

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(Apo)

Description

Data from the confounded apple slice browning experiment in chapter 7 of Design and Analysis of Experiments with R

Usage

data(apple)

Format

A data frame with 24 observations on the following 4 variables.

Block

a factor with levels 1 2 3 4

A

a factor with levels 0 1 2 3

B

a factor with levels 0 1 2

rating

a numeric vector containing the response

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(apple)

Description

Data from the $2^{(7-3)}$ arsenic removal experiment in chapter 6 of Design and Analysis of Experiments with R

Usage

data(arso)

Format

A data frame with 8 observations on the following 8 variables.

A

a factor with levels -1 1

B

a factor with levels -1 1

C

a factor with levels -1 1

D

a factor with levels -1 1

E

a factor with levels -1 1

F

a factor with levels -1 1

G

a factor with levels -1 1

y1

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(arso)

Description

Data from the $2^{(7-3)}$ arsenic removal experiment augmented with mirror image in chapter 6 of Design and Analysis of Experiments with R

Usage

data(augm)

Format

A data frame with 8 observations on the following 8 variables.

A

a factor with levels -1 1

B

a factor with levels -1 1

C

a factor with levels -1 1

fold

a factor with levels original mirror

D

a factor with levels -1 1

E

a factor with levels -1 1

F

a factor with levels -1 1

G

a factor with levels -1 1

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(augm)

Description

Data from the Confounded Block Dishwashing Experiment in chapter 7 of Design and Analysis of Experiments with R

Usage

data(Bdish)

Format

A data frame with 16 observations on the following 5 variables.

Blocks

a factor with levels 1 2 3 4

A

a factor with levels -1 1

B

a factor with levels -1 1

C

a factor with levels -1 1

D

a factor with levels -1 1

y

a numeric vector containing the response

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(Bdish)

Description

Data from the Confounded block fractional factorial mouse growth experiment in chapter 7 of Design and Analysis of Experiments with R

Usage

data(Bff)

Format

A data frame with 16 observations on the following 5 variables.

Blocks

a factor with levels 1 2 3 4 5 6 7 8

A

a factor with levels -1 1

B

a factor with levels -1 1

C

a factor with levels -1 1

D

a factor with levels -1 1

E

a factor with levels -1 1

F

a factor with levels -1 1

G

a factor with levels -1 1

H

a factor with levels -1 1

weight

a numeric vector containing the response

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(Bff)

Description

Data from the mouse liver enzyme experiment in chapter 4 of Design and Analysis of Experiments with R

Usage

data(bha)

Format

A data frame with 16 observations on the following 4 variables.

block

a factor with levels 1 2

strain

a factor with levels A/J 129O1a NIH BALB/c

treat

a factor with levels treated control

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(bha)

Description

This function computes the number of blocks, treatment frequency and lambda for a potential BIB design

Usage

BIBsize(t,k)

Arguments

Value

a list containing the b=number of blocks, r=number of treatment replicates and lambda for a potential BIB design with t levels of treatment factor and blocksize k.

Author(s)

John Lawson

Description

Data from the extra-period crossover bioequivalence study in chapter 9 of Design and Analysis of Experiments with R

Usage

data(bioequiv)

Format

A data frame with 108 observations on the following 5 variables.

Group

a factor with levels 1 2

Subject

a factor with levels 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 21 23 24 25 26 27 28 30 31 32 33 34 35 36 120 122 129

Period

a factor with levels 1 2 3

Treat

a factor with levels A B

Carry

a factor with levels none A B

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(bioequiv)

Description

Data from the Latin Square bioequivalence experiment in chapter 4 of Design and Analysis of Experiments with R

Usage

data(bioeqv)

Format

A data frame with 9 observations on the following 4 variables.

Period

a factor with levels 1 2 3

Subject

a factor with levels 1 2 3

Treat

a factor with levels A B C

AUC

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(bioeqv)

Description

Data from the Variance component study of calcium in blood serum in chapter 5 of Design and Analysis of Experiments with R

Usage

data(blood)

Format

A data frame with 27 observations on the following 3 variables.

sol

a factor with levels 1 2 3 4

lab

a factor with levels A B C

calcium

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(blood)

Description

Data from Box and Meyer's unreplicated $2^4$ in chapter 3 of Design and Analysis of Experiments with R

Usage

data(BoxM)

Format

A data frame with 16 observations on the following 4 variables.

A

a numeric vector containing the coded (-1,1) levels of factor A

B

a numeric vector containing the coded (-1,1) levels of factor B

C

a numeric vector containing the coded (-1,1) levels of factor C

D

a numeric vector containing the coded (-1,1) levels of factor D

y

a numeric vector containing the response

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

References

Box, G. E. P. "George's Column", Quality Engineering, Vol. 3, pp. 405-410.

Examples

data(BoxM)

Description

Data from the blood pressure monitor experiment experiment in Chapter 7 of Design and Analysis of Experiments with R

Usage

data(BPmonitor)

Format

A data frame with 12 observations on the following 3 variables.

Block

a factor with levels 1 2 3 4 5 6

Treatment

a factor with levels "P" "A" "B" "C"

pressure

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(BPmonitor)

Description

Data from the bread rise experiment in chapter 2 of Design and Analysis of Experiments with R

Usage

data(bread)

Format

A data frame with 12 observations on the following 3 variables.

loaf

a numeric vector

time

a numeric vector

height

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(bread)

Description

Data from the Split-Plot response surface for cake baking experiment in chapter 10 of Design and Analysis of Experiments with R

Usage

data(cakeb)

Format

A data frame with 11 observations on the following 6 variables.

Ovenrun

a factor with levels 1 2 3 4

x1

a numeric vector

x2

a numeric vector

y

a numeric vector

x1sq

a numeric vector

x2sq

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(cakeb)

Description

Data from the CCD design for cement workability experiment in chapter 10 of Design and Analysis of Experiments with R

Usage

data(cement)

Format

A data frame with 20 observations on the following 4 variables.

Block

a factor with levels 1 2

x1

a numeric vector

x2

a numeric vector

x3

a numeric vector

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(cement)

Description

Data from the Chemical process experiment in chapter 3 of Design and Analysis of Experiments with R

Usage

data(chem)

Format

A data frame with 16 observations on the following 4 variables.

A

a numeric vector containing the coded (-1,1) levels of factor A

B

a numeric vector containing the coded (-1,1) levels of factor B

C

a numeric vector containing the coded (-1,1) levels of factor C

D

a numeric vector containing the coded (-1,1) levels of factor D

y

a numeric vector containing the response

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(chem)

Description

Data from the Williams' crossover design for sprinting experiment in chapter 9 of Design and Analysis of Experiments with R

Usage

data(chipman)

Format

A data frame with 36 observations on the following 5 variables.

Square

a factor with levels 1 2

Group

a factor with levels 1 2 3

Subject

a factor with levels 1 2 3 4 5 6 7 8 9 10 11 12

Period

a factor with levels 1 2 3

Treat

a factor with levels 1 2 3

Carry

a factor with levels 0 1 2 3

Time

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(chipman)

Description

Data from the CO emissions experiment in chapter 3 of Design and Analysis of Experiments with R

Usage

data(COdata)

Format

A data frame with 18 observations on the following 3 variables.

Eth

a factor with levels 0.1 0.2 0.3

Ratio

a factor with levels 14 15 16

CO

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(COdata)

Description

This function makes a colormap of the correlations of a design matrix stored in the data frame design

Usage

colormap(design, mod)

Arguments

Author(s)

John Lawson

Examples

## The function is currently defined as
function(design,mod) {
##################### Inputs ###########################################
# design - a data frame containing columns of the numeric factor levels
# mod - the model for the color plot of correlations
#    1 = Linear model containing only the terms in the data frame
#    2 = Linear model plus two factor interactions
#    3 = Linear model plus 2 and 3 factor interactions
#    4 = Linear model plus 2, 3 and 4 factor interactions
########################################################################
y<-runif(nrow(design),0,1)
if(mod==1) {test <- model.matrix(lm(y~(.),data=design))}
if(mod==2) {test <- model.matrix(lm(y~(.)^2,data=design))}
if(mod==3) {test <- model.matrix(lm(y~(.)^3,data=design))}
if(mod==4) {test <- model.matrix(lm(y~(.)^4,data=design))}
names<-colnames(test)
names<-gsub(':','',names)
names<-gsub('1','',names)
colnames(test)<-names
cmas<-abs(cor(test[,ncol(test):2]))
cmas<-cmas[c((ncol(cmas)):1), ]
rgb.palette <- colorRampPalette(c("white", "black"), space = "rgb")
levelplot(cmas, main="Map of absolute correlations", xlab="", ylab="", col.regions=rgb.palette(120),
            cuts=100, at=seq(0,1,0.01),scales=list(x=list(rot=90))) }

Description

Data from the Single Array Experiment with an Elastometric Connector in Chapter 12 of Design and Analysis of Experiments with R. The control and noise factors are in coded levels.

Usage

data(connector)

Format

A data frame with 32 observations on the following 8 variables.

A

a numeric vector

B

a numeric vector

C

a numeric vector

D

a numeric vector

E

a numeric vector

F

a numeric vector

G

a numeric vector

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(connector)

Description

Data from the control factor array and summary statistics for controller circuit design experiment in chapter 12 of Design and Analysis of Experiments with R

Usage

data(cont)

Format

A data frame with 18 observations on the following 6 variables.

A

a numeric vector

B

a numeric vector

C

a numeric vector

D

a numeric vector

F

a numeric vector

lns2

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(cont)

Description

Data from the Split-plot response surface for ceramic pipe experiment in chapter 10 of Design and Analysis of Experiments with R

Usage

data(cpipe)

Format

A data frame with 48 observations on the following 6 variables.

WP

a factor with levels 1 2 3 4 5 6 7 8 9 10 11 12

A

a numeric vector

B

a numeric vector

P

a numeric vector

Q

a numeric vector

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(cpipe)

Description

Data from the paecilomyces variotii culture experiment experiment in chapter 6 of Design and Analysis of Experiments with R

Usage

data(culture)

Format

A data frame with 16 observations on the following 9 variables.

A

a factor with levels -1 1

B

a factor with levels -1 1

C

a factor with levels -1 1

D

a factor with levels -1 1

E

a factor with levels -1 1

F

a factor with levels -1 1

G

a factor with levels -1 1

H

a factor with levels -1 1

y1

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(culture)

Description

Data from the Repeated measures study with dairy cow diets in chapter 9 of Design and Analysis of Experiments with R (compact format)

Usage

data(dairy)

Format

A data frame with 120 observations on the following 5 variables.

Diet

a factor with levels "Barley" "Mixed" "Lupins"

pr1

a numeric vector

pr2

a numeric vector

pr3

a numeric vector

pr4

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(dairy)

Description

Recalls Jones and Nachtsheim's Definitive screening designs for 3-level factors and 3-level factors with added 2-level categorical factors.

Usage

DefScreen(m, c=0, center=0, randomize=FALSE)

Arguments

Value

a data frame containing the definitive screening design with 3-level factors first followed by 2-level factors.

Author(s)

John Lawson

References

Jones, B. and Nachtsheim, C. J. (2011) "A Class of Three Level Designs for Definitive Screening in the Presence of Second-Order Effects", Journal of Quality Technology, Vol 43, No. 1, 2011, pp 1-15. Jones, B. and Nachtsheim, C. J. (2013) "Definitive Screening Designs with Added Two-Level Categorical Factors", Journal of Quality Technology, Vol 44, No. 2, 2013, pp. 121-129.

Description

Data from rat behavior experiment in Chapter 4 of Design and Analysis of Experiments with R

Usage

data(drug)

Format

A data frame with 50 observations on the following 3 variables.

rat

a factor with levels 1 2 3 4 5 6 7 8 9 10

dose

a factor with levels 0.0 0.5 1.0 1.5 2.0

rate

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(drug)

Description

Recalls Jones and Goos JQT Estimation Equivalent Response Surface Designs for 1 whole plot factor and 1 sub-plot factor from a catalog

Usage

EEw1s1(des, randomize=FALSE)

Arguments

Value

design

Author(s)

John Lawson

References

Jones, B. and Goos, P.(2012) "An Algorithm for Finding D-Efficient Equivalent-Estimation Second-Order Split Plot Designs", Journal of Quality Technology, Vol 44, No. 4, pp281-303, 2012.

Description

Recalls Jones and Goos JQT Estimation Equivalent Response Surface Designs for 1 whole plot factor and 2 sub-plot factors from a catalog

Usage

EEw1s2(des, randomize=FALSE)

Arguments

Value

design

Author(s)

John Lawson

References

Jones, B. and Goos, P.(2012) "An Algorithm for Finding D-Efficient Equivalent-Estimation Second-Order Split Plot Designs", Journal of Quality Technology, Vol 44, No. 4, pp281-303, 2012.

Description

Recalls Jones and Goos JQT Estimation Equivalent Response Surface Designs for 1 whole plot factor and 3 sub-plot factors from a catalog

Usage

EEw1s3(des, randomize=FALSE)

Arguments

Value

design

Author(s)

John Lawson

References

Jones, B. and Goos, P.(2012) "An Algorithm for Finding D-Efficient Equivalent-Estimation Second-Order Split Plot Designs", Journal of Quality Technology, Vol 44, No. 4, pp281-303, 2012.

Description

Recalls Jones and Goos JQT Estimation Equivalent Response Surface Designs for 2 whole plot factors and 1 sub-plot factor from a catalog

Usage

EEw2s1(des, randomize=FALSE)

Arguments

Value

design

Author(s)

John Lawson

References

Jones, B. and Goos, P.(2012) "An Algorithm for Finding D-Efficient Equivalent-Estimation Second-Order Split Plot Designs", Journal of Quality Technology, Vol 44, No. 4, pp281-303, 2012.

Description

Recalls Jones and Goos JQT Estimation Equivalent Response Surface Designs for 2 whole plot factors and 1 sub-plot factor from a catalog

Usage

EEw2s2(des, randomize=FALSE)

Arguments

Value

design

Author(s)

John Lawson

References

Jones, B. and Goos, P.(2012) "An Algorithm for Finding D-Efficient Equivalent-Estimation Second-Order Split Plot Designs", Journal of Quality Technology, Vol 44, No. 4, pp281-303, 2012.

Description

Recalls Jones and Goos JQT Estimation Equivalent Response Surface Designs for 2 whole plot factors and 1 sub-plot factor from a catalog

Usage

EEw2s3(des, randomize=FALSE)

Arguments

Value

design

Author(s)

John Lawson

References

Jones, B. and Goos, P.(2012) "An Algorithm for Finding D-Efficient Equivalent-Estimation Second-Order Split Plot Designs", Journal of Quality Technology, Vol 44, No. 4, pp281-303, 2012.

Description

Recalls Jones and Goos JQT Estimation Equivalent Response Surface Designs for 3 whole plot factors and 1-2 sub-plot factors from a catalog

Usage

EEw3(des, randomize=FALSE)

Arguments

Value

design

Author(s)

John Lawson

References

Jones, B. and Goos, P.(2012) "An Algorithm for Finding D-Efficient Equivalent-Estimation Second-Order Split Plot Designs", Journal of Quality Technology, Vol 44, No. 4, pp281-303, 2012.

Description

Data from the single array and raw response for silicon layer growth experiment in chapter 12 of Design and Analysis of Experiments with R

Usage

data(eptaxr)

Format

A data frame with 64 observations on the following 9 variables.

A

a numeric vector

B

a numeric vector

C

a numeric vector

D

a numeric vector

E

a numeric vector

F

a numeric vector

G

a numeric vector

H

a numeric vector

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(eptaxr)

Description

Data from the control array and variance of response for silicon layer growth experiment in chapter 12 of Design and Analysis of Experiments with R

Usage

data(eptaxs2)

Format

A data frame with 16 observations on the following 9 variables.

A

a numeric vector

B

a numeric vector

C

a numeric vector

D

a numeric vector

E

a numeric vector

F

a numeric vector

G

a numeric vector

H

a numeric vector

s2

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(eptaxs2)

Description

Data from the control array and mean response for silicon layer growth experiment in chapter 12 of Design and Analysis of Experiments with R

Usage

data(eptaxyb)

Format

A data frame with 16 observations on the following 9 variables.

A

a numeric vector

B

a numeric vector

C

a numeric vector

D

a numeric vector

E

a numeric vector

F

a numeric vector

G

a numeric vector

H

a numeric vector

ybar

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(eptaxyb)

Description

Gets F-distribution critical values

Usage

Fcrit(alpha, nu1, nu2)

Arguments

Value

returned critical value

Author(s)

John Lawson

Description

This function performs a single step of a hierarchical forward stepwise regression by entering additional term(s) to a model already created by ihstep or fhstep. If an interaction or quadratic term is entered first, the parent main effects are also entered into the model. This function is called by HierAFS.R

Usage

fhstep(y,des,m,c,prvm)

Arguments

Value

returned vector of terms entered in the model at this step.

Author(s)

John Lawson

Description

This function performs a single step of a forward stepwise regression by entering an additional 2nd order term to a model already created by FitDefSc.R or fhstepDS.R This function is called by FitDefSc.R

Usage

fhstepDS(y,des,m,c,prvm)

Arguments

Value

returned vector of terms entered in the model at this step.

Author(s)

John Lawson

Description

This function finds the first term to enter a hierarchical forward stepwise regression. If the term is an interaction or quadratic term, the parent main effects are also included. This function is called by ihstep.R

Usage

firstm(y,des)

Arguments

Value

returned vector of terms to be entered in the model at the first step.

Author(s)

John Lawson

Description

This function performs fits a model to a Definitive Screeing Design by first restricting main effects to the smallest main effects and those significant at at least the .20 level in a main effects model. Next forward stepwise selection is used to enter 2 factor interactions and quadratic effects.

Usage

FitDefSc(y,design,alpha=.05)

Arguments

Author(s)

John Lawson

Description

This function finds the first term to enter a hierarchical forward stepwise regression. If the term is an interaction or quadratic term, the parent main effects are also included. This function is called by ihstep.R

Usage

fnextrm(y,des,prvm)

Arguments

Value

returned vector of terms to be entered in the model at the next step.

Author(s)

John Lawson

Description

This function finds the first term to enter a hierarchical forward stepwise regression. If the term is an interaction or quadratic term, the parent main effects are also included. This function is called by ihstep.R

Usage

fntrmDS(y,des,prvm)

Arguments

Value

returned vector of terms to be entered in the model at the next step.

Author(s)

John Lawson

Description

Calculates the power for the non-central F-distribution

Usage

Fpower(alpha, nu1, nu2, nc)

Arguments

Value

probability of exceeding fcrit(alpha, nu1,nu2) with the non-central F-distribution with nu1 and nu2 degrees of freedom and noncentrality parameter nc

Author(s)

John Lawson

Description

Calculates the power for one-way ANOVA

Usage

Fpower1(alpha,nlev,nreps,Delta,sigma)

Arguments

Value

probability of exceeding fcrit(alpha, nu1,nu2) with the non-central F-distribution with nu1 and nu2 degrees of freedom and noncentrality parameter nc

Author(s)

John Lawson

Description

Calculates the power for a two-way ANOVA

Usage

Fpower2(alpha,nlev,nreps,Delta,sigma)

Arguments

Value

probability of exceeding fcrit(alpha, nu1,nu2) with the non-central F-distribution with nu1 and nu2 degrees of freedom and noncentrality parameter nc

Author(s)

John Lawson

Description

This function makes a full normal plot of the elements of the vector called effects

Usage

fullnormal(effects, labs, alpha = 0.05, refline = "TRUE")

Arguments

Author(s)

John Lawson

Description

Data from the Gauge R&R Study in chapter 5 of Design and Analysis of Experiments with R

Usage

data(gagerr)

Format

A data frame with 60 observations on the following 3 variables.

part

a factor with levels 1 2 3 4 5 6 7 8 9 10

oper

a factor with levels 1 2 3

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(gagerr)

Description

This function computes the gap statistic which is used to test for an outlier using Daniels method

Usage

gapstat(beta, pse)

Arguments

Value

returned gap statistic

Author(s)

John Lawson

Description

This function uses Daniel's Method to find an outlier in an unreplicated $2^{(k-p)}$ design.

Usage

Gaptest(DesY)

Arguments

Author(s)

John Lawson

References

Box, G.E.P. (1991) "George's column: Finding bad values in factorial designs", Quality Engineering, 3, 249-254.

Description

Data from the unreplicated split-plot fractional-factorial experiment on geometric distortion of drive gears in chapter 8 of Design and Analysis of Experiments with R

Usage

data(gear)

Format

A data frame with 16 observations on the following 6 variables.

A

a factor with levels -1 1

B

a factor with levels -1 1

C

a factor with levels -1 1

P

a factor with levels -1 1

Q

a factor with levels -1 1

y

a numeric vector containing the response

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(gear)

Description

This function makes a half normal plot of the elements of the vector called effects

Usage

halfnorm(effects, labs, alpha = 0.05, refline = "TRUE")

Arguments

Author(s)

John Lawson

Description

Data from the low grade hardwood conjoint study in chapter 6 of Design and Analysis of Experiments with R

Usage

data(hardwood)

Format

A data frame with 12 observations on the following 5 variables.

Design

a factor with levels "RC" "AC" "OCI" "OCII"

Price

a numeric variable

Density

a factor with levels "Clear" "Heavy" "Medium"

Guarantee

a factor with levels "1y" "Un"

Rating

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(hardwood)

Description

This function performs a hierarchical forward stepwise regression. If an interaction or quadratic term is entered in the model, the parent main effects are also entered into the model.

Usage

HierAFS(y,x,m,c,step)

Arguments

Value

returned data frame the first column is a factor variable containing the formula for the model fit at each step, the second numeric column is the R-square statistic for the model fit with each formula.

Author(s)

Gerhard Krennrich, and modified by John Lawson

Description

This function performs the first step of a hierarchical forward stepwise regression. If an interaction or quadratic term is entered first, the parent main effects are also entered into the model. This function is called by HierAFS.R

Usage

ihstep(y,des,m,c)

Arguments

Value

returned vector of terms entered in the model at this step.

Author(s)

John Lawson

Description

Data from the single array for injection molding experiment in chapter 12 of Design and Analysis of Experiments with R

Usage

data(inject)

Format

A data frame with 20 observations on the following 8 variables.

A

a numeric vector

B

a numeric vector

C

a numeric vector

D

a numeric vector

E

a numeric vector

F

a numeric vector

G

a numeric vector

shrinkage

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(inject)

Description

interleaves two vectors

Usage

interleave(v1,v2)

Arguments

Value

vector

Description

Plot of the factor effects with significance levels based on robust estimation of contrast standard errors.

Usage

LenthPlot(obj, alpha = 0.05, plt = TRUE, limits = TRUE,
    xlab = "factors", ylab = "effects", faclab = NULL, cex.fac = graphics::par("cex.lab"),
    cex.axis=graphics::par("cex.axis"), adj = 1, ...)

Arguments

Details

If obj is of class lm, 2*coef(obj) is used as factor effect with the intercept term removed. Otherwise, obj should be a vector with the factor effects. Robust estimate of the contrasts standard error is used to calculate marginal (ME) and simultaneous margin of error (SME) for the provided significance (1 - alpha) level. See Lenth(1989). Spikes are used to display the factor effects. If faclab is NULL, factors are labelled with the effects or coefficient names. Otherwise, those faclab\$idx factors are labelled as faclab\$lab. The rest of the factors are blanked.

Value

The function is called mainly for its side effect. It returns a vector with the value of alpha used, the estimated PSE, ME and SME.

Author(s)

Ernesto Barrios. Extension provided by Kjetil Kjernsmo (2013).

References

Lenth, R. V. (1989). "Quick and Easy Analysis of Unreplicated Factorials". Technometrics Vol. 31, No. 4. pp. 469–473.

Description

This function uses the LGB Method to detect significant effects in unreplicated fractional factorials.

Usage

LGB(Beta, alpha = 0.05, rpt = TRUE, plt = TRUE, pltl = TRUE)

Arguments

Author(s)

John Lawson

References

Lawson, J., Grimshaw, S., Burt, J. (1998) "A quantitative method for identifying active contrasts in unreplicated factorial experiments based on the half-normal plot", Computational Statistics and Data Analysis, 26, 425-436.

Description

This function uses the LGB Method to detect significant effects in unreplicated fractional factorials.

Usage

LGBc(Beta, alpha = 0.05, rpt = TRUE, plt = TRUE, pltl = TRUE)

Arguments

Author(s)

John Lawson

References

Lawson, J., Grimshaw, S., Burt, J. (1998) "A quantitative method for identifying active contrasts in unreplicated factorial experiments based on the half-normal plot", Computational Statistics and Data Analysis, 26, 425-436.

Description

Gets mod of a to base b

Usage

mod(a,b)

Arguments

Value

remainder of a/b or mod(a,b)

Author(s)

John Lawson

Description

Recalls Li and Nachtsheim's model robust factorial designs from a catalog of data frames

Usage

ModelRobust(des, randomize=FALSE)

Arguments

Value

design

Author(s)

John Lawson

References

Li, W. and Nachtsheim, C. J. (2000) "Model Robust factorial Designs", Technometrics, Vol 42, No. 4, pp345-352, 2000.

Description

Data from the mixture process variable experiment with mayonnaise in chapter 11 of Design and Analysis of Experiments with R

Usage

data(MPV)

Format

A data frame with 35 observations on the following 4 variables.

x1

a numeric vector

x2

a numeric vector

x3

a numeric vector

z1

a numeric vector

z2

a numeric vector

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(MPV)

Description

Data from the Yields of naphthalene black of Chapter 5 in Design and Analysis of Experiments with R

Usage

data(Naph)

Format

A data frame with 30 observations on the following 2 variables.

sample

a factor with levels 1 2 3 4 5 6

yield

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(Naph)

Description

Selects the columns from a Plackett-Burman Design Produced by FrF2 that will minimize model dependence for main effects and two factor interactions and returns the design in a data frame

Usage

OptPB(nruns, nfactors, randomize=FALSE)

Arguments

Value

design

Author(s)

John Lawson

References

Fairchild, K. (2011) "Screening Designs that Minimize Model Dependence", MS Project Department of Statistics Brigham Young University, Dec. 2011.

Description

Data from the Blocked response surface design for pastry dough experiment in chapter 10 of Design and Analysis of Experiments with R

Usage

data(pastry)

Format

A data frame with 28 observations on the following 5 variables.

Block

a factor with levels 1 2 3 4 5 6 7

x1

a numeric vector

x2

a numeric vector

x3

a numeric vector

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(pastry)

Description

Creates a 12, 20, or 24 run Plackett-Burman design in a data frame with numeric factor levels by cyclically rotating the factor leves in the first row

Usage

PBDes(nruns, nfactors, randomize=FALSE)

Arguments

Value

design

Author(s)

John Lawson

References

Lawson, J. (2015) "Design and Analysis of Experiments with R page 229",CRC Press, Boca Raton, 2015.

Description

Data from the Pesticide formulation experiment in chapter 11 of Design and Analysis of Experiments with R

Usage

data(pest)

Format

A data frame with 13 observations on the following 4 variables.

x1

a numeric vector

x2

a numeric vector

x3

a numeric vector

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(pest)

Description

Data from the pesticide application experiment in chapter 5 of Design and Analysis of Experiments with R

Usage

data(pesticide)

Format

A data frame with 16 observations on the following 4 variables.

form

a factor with levels A B

tech

a factor with levels 1 2

plot

a factor with levels 1 2

residue

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(pesticide)

Description

Data from the unreplicated split-plot $2^5$ experiment on plasma treatment of paper in chapter 8 of Design and Analysis of Experiments with R

Usage

data(plasma)

Format

A data frame with 32 observations on the following 6 variables.

A

a factor with levels -1 1

B

a factor with levels -1 1

C

a factor with levels -1 1

D

a factor with levels -1 1

E

a factor with levels -1 1

y

a numeric vector containing the response

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(plasma)

Description

Data from the Polvoron mixture experiment in chapter 11 of Design and Analysis of Experiments with R

Usage

data(polvdat)

Format

A data frame with 12 observations on the following 4 variables.

x1

a numeric vector

x2

a numeric vector

x3

a numeric vector

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(polvdat)

Description

Data from the polymerization strength variability study in chapter 5 of Design and Analysis of Experiments with R

Usage

data(polymer)

Format

A data frame with 120 observations on the following 5 variables.

lot

a factor with levels 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

box

a factor with levels 1 2

prep

a factor with levels 1 2

test

a factor with levels 1 2

strength

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(polymer)

Description

Data from the complete control factor array and noise factor array for connector experiment in chapter 12 of Design and Analysis of Experiments with R

Usage

data(prodstd)

Format

A data frame with 16 observations on the following 16 variables.

A

a numeric vector

B

a numeric vector

C

a numeric vector

D

a numeric vector

E

a numeric vector

F

a numeric vector

G

a numeric vector

Pof

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(prodstd)

Description

Data from the Library of substituted hydroxyphenylurea compounds in chapter 10 of Design and Analysis of Experiments with R (compact format)

Usage

data(qsar)

Format

A data frame with 36 observations on the following 4 variables.

Compound

a numeric vector

HE

a numeric vector

DMz

a numeric vector

S0K

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(qsar)

Description

Data from the cattle rations design experiment in chapter 10 of Design and Analysis of Experiments with R

Usage

data(Rations)

Format

A data frame with 45 observations on the following 4 variables.

Block

a factor with levels 1 2 3 4 5 6 7 8

x1

a numeric vector

x2

a numeric vector

ADG

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(Rations)

Description

Data from the generalized RCB golf driving experiment in chapter 4 of Design and Analysis of Experiments with R

Usage

data(rcb)

Format

A data frame with 135 observations on the following 3 variables.

id

a factor with levels 1 2 3 4 5 6 7 8 9

teehgt

a factor with levels 1 2 3

cdistance

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(rcb)

Description

Data from the Herbicide degradation experiment in chapter 9 of Design and Analysis of Experiments with R

Usage

data(residue)

Format

A data frame with 16 observations on the following 3 variables.

soil

a factor with levels "C" "P"

moisture

a factor with levels "L" "H"

temp

a factor with levels 10 30

X1

a numeric vector

X2

a numeric vector

X3

a numeric vector

X4

a numeric vector

X5

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(residue)

Description

Data from the Rubber Elasticity Study in chapter 5 of Design and Analysis of Experiments with R

Usage

data(rubber)

Format

A data frame with 96 observations on the following 4 variables.

supplier

a factor with levels A B C D

batch

a factor with levels I II III IV

sample

a factor with levels 1 2

elasticity

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(rubber)

Description

Data from the Split-plot experiment on sausage casing with RCB in whole plot in chapter 7 of Design and Analysis of Experiments with R

Usage

data(sausage)

Format

A data frame with 32 observations on the following 5 variables.

Block

a factor with levels 1 2

Gbatch

a factor with levels 1 2 3 4

A

a factor with levels -1 1

B

a factor with levels -1 1

C

a factor with levels -1 1

D

a factor with levels -1 1

ys

a numeric vector containing the response

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(sausage)

Description

Data from the single array for starting motor experiment in chapter 12 of Design and Analysis of Experiments with R

Usage

data(Smotor)

Format

A data frame with 18 observations on the following 6 variables.

A

a factor with levels 1 2

B

a factor with levels 1 2 3

C

a factor with levels 1 2 3

D

a factor with levels 1 2 3

E

a factor with levels 1 2

torque

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(Smotor)

Description

Data from the dry mix soup experiment in chapter 6 of Design and Analysis of Experiments with R

Usage

data(soup)

Format

A data frame with 16 observations on the following 6 variables.

A

a factor with levels -1 1

B

a factor with levels -1 1

C

a factor with levels -1 1

D

a factor with levels -1 1

E

a factor with levels -1 1

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(soup)

Description

Data from the dry soup mix variance component study of Chapter 5 in Design and Analysis of Experiments with R

Usage

data(soupmx)

Format

A data frame with 12 observations on the following 2 variables.

batch

a factor with levels 1 2 3 4

weight

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(soupmx)

Description

Data from the Split-plot cookie baking experiment in chapter 8 of Design and Analysis of Experiments with R

Usage

data(splitPdes)

Format

A data frame with 24 observations on the following 5 variables.

short

a factor with levels 100 80

trayT

a factor with levels RoomT Hot

bakeT

a factor with levels low mid high

batch

a factor with levels 1 2

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(splitPdes)

Description

Data from the Split-plot mixture process variable experiment with vinyl in chapter 10 of Design and Analysis of Experiments with R

Usage

data(SPMPV)

Format

A data frame with 28 observations on the following 7 variables.

wp

a factor with levels 1 2 3 4 5 6 7

z1

a numeric vector

z2

a numeric vector

x1

a numeric vector

x2

a numeric vector

x3

a numeric vector

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(SPMPV)

Description

Makes standard order

Usage

stdord(m)

Arguments

Value

vector in standard order

Description

Data from the Repeated measures study with dairy cow diets in chapter 9 of Design and Analysis of Experiments with R (strung out format)

Usage

data(strung)

Format

A data frame with 120 observations on the following 5 variables.

Diet

a factor with levels "Barley" "Mixed" "Lupins"

Cow

a factor with levels 1 2 3 4 5 6 7 8 9 10

week

a factor with levels 1 2 3 4

protein

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(strung)

Description

Data from the strung out control factor array and raw response data for Ina tile experiment in chapter 12 of Design and Analysis of Experiments with R

Usage

data(strungtile)

Format

A data frame with 16 observations on the following 16 variables.

A

a numeric vector

B

a numeric vector

C

a numeric vector

D

a numeric vector

E

a numeric vector

F

a numeric vector

G

a numeric vector

H

a numeric vector

AH

a numeric vector

BH

a numeric vector

CH

a numeric vector

DH

a numeric vector

EH

a numeric vector

FH

a numeric vector

GH

a numeric vector

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(strungtile)

Description

Sugarbeet data from chapter 2 of Design and Analysis of Experiments with R

Usage

data(sugarbeet)

Format

A data frame with 18 observations on the following 2 variables.

treat

a factor with levels A B C D

yield

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(sugarbeet)

Description

Data from the taste test panel experiment in Chapter 7 of Design and Analysis of Experiments with R

Usage

data(taste)

Format

A data frame with 24 observations on the following 3 variables.

panelist

a factor with levels 1 2 3 4 5 6 7 8 9 10 11 12

recipe

a factor with levels "A" "B" "C" "D"

score

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(taste)

Description

Data from the teaching experiment in chapter 2 of Design and Analysis of Experiments with R

Usage

data(teach)

Format

A data frame with 30 observations on the following 4 variables.

class

a numeric vector

method

a factor with levels 1 2 3

score

a factor with levels 1 2 3 4 5

count

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(teach)

Description

Data from the Tetracycline concentration in plasma study in chapter 10 of Design and Analysis of Experiments with R (compact format)

Usage

data(Tet)

Format

A data frame with 9 observations on the following 2 variables.

Time

a numeric vector

Conc

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(Tet)

Description

Data from the control factor array and summary statistics for Ina tile experiment in chapter 12 of Design and Analysis of Experiments with R

Usage

data(tile)

Format

A data frame with 8 observations on the following 11 variables.

A

a numeric vector

B

a numeric vector

C

a numeric vector

D

a numeric vector

E

a numeric vector

F

a numeric vector

G

a numeric vector

y1

a numeric vector

y2

a numeric vector

ybar

a numeric vector

lns2

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(tile)

Description

Data from the Box-Behnken design for trebuchet experiment in chapter 10 of Design and Analysis of Experiments with R

Usage

data(Treb)

Format

A data frame with 15 observations on the following 4 variables.

x1

a numeric vector

x2

a numeric vector

x3

a numeric vector

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(Treb)

Description

This function performs Tukey's single degree of freedom test for interaction in an unreplicated two-factor design

Usage

Tukey1df(data)

Arguments

Author(s)

John Lawson

Description

function for getting confidence intervals on variance components estimated by the method of moments

Usage

vci(confl,c1,ms1,nu1,c2,ms2,nu2)

Arguments

Value

returned delta, Lower and Upper limits

Author(s)

John Lawson

Description

Data from vinyl plasticiser formulation experiment in chapter 11 of Design and Analysis of Experiments with R

Usage

data(vinyl)

Format

A data frame with 40 observations on the following 7 variables.

WP

a numeric vector

x1

a numeric vector

x2

a numeric vector

x3

a numeric vector

z1

a numeric vector

z2

a numeric vector

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(vinyl)

Description

Data from the Assay of Viral Contamination experiment in chapter 3 of Design and Analysis of Experiments with R

Usage

data(virus)

Format

A data frame with 18 observations on the following 3 variables.

y

a numeric vector

Sample

a factor with levels 1 2 3 4 5 6

Dilution

a factor with levels 3 4 5

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(virus)

Description

Data from the Volt meter experiment in chapter 3 of Design and Analysis of Experiments with R

Usage

data(volt)

Format

A data frame with 16 observations on the following 3 variables.

y

a numeric vector

A

a factor containing the levels (22, 32) of factor A

B

a factor containing the levels (0.5, 5.0) of factor B

C

a factor containing the levels (0.5, 5.0) of factor C

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(volt)

Description

Data from the web page design experiment in chapter 3 of Design and Analysis of Experiments with R

Usage

data(web)

Format

A data frame with 36 observations on the following 6 variables.

A

a factor with levels 1 2

B

a factor with levels 1 2

C

a factor with levels 1 2

D

a factor with levels 1 2

visitors

a numeric vector

signup

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(web)

Description

Data from the Single Array Experiment in Exercise 5 of Chapter 12 in Design and Analysis of Experiments with R. The factors are in coded levels.

Usage

data(WeldS)

Format

A data frame with 16 observations on the following 16 variables.

D

a numeric vector

H

a numeric vector

G

a numeric vector

A

a numeric vector

F

a numeric vector

GH

a numeric vector

C

a numeric vector

B

a numeric vector

J

a numeric vector

E

a numeric vector

AC

a numeric vector

AH

a numeric vector

AG

a numeric vector

e1

a numeric vector

e2

a numeric vector

y

a numeric vector

Source

Design and Analysis of Experiments with R, by John Lawson, CRC/Chapman Hall

Examples

data(WeldS)