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Knit directory: NRCRI_2020GS/
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Start with cleaned data from previous step.
rm(list=ls())
library(tidyverse); library(magrittr);
dbdata<-readRDS(here::here("data","NRCRI_CleanedTrialData_2020April21.rds"))
dbdata
# A tibble: 32,478 x 37
studyYear programName locationName studyName studyDesign plotWidth plotLength
<int> <chr> <chr> <chr> <chr> <dbl> <dbl>
1 2012 NRCRI Umudike 12CET500… Alpha 1 5
2 2012 NRCRI Umudike 12CET500… Alpha 1 5
3 2012 NRCRI Umudike 12CET500… Alpha 1 5
4 2012 NRCRI Umudike 12CET500… Alpha 1 5
5 2012 NRCRI Umudike 12CET500… Alpha 1 5
6 2012 NRCRI Umudike 12CET500… Alpha 1 5
7 2012 NRCRI Umudike 12CET500… Alpha 1 5
8 2012 NRCRI Umudike 12CET500… Alpha 1 5
9 2012 NRCRI Umudike 12CET500… Alpha 1 5
10 2012 NRCRI Umudike 12CET500… Alpha 1 5
# … with 32,468 more rows, and 30 more variables: fieldSize <dbl>,
# plantingDate <chr>, harvestDate <chr>, germplasmName <chr>,
# replicate <int>, blockNumber <int>, plotNumber <int>, rowNumber <lgl>,
# colNumber <int>, entryType <chr>, TrialType <chr>, CGM <lgl>, CGMS1 <dbl>,
# CGMS2 <dbl>, DM <dbl>, PLTHT <dbl>, BRNHT1 <dbl>, NOHAV <dbl>, HI <dbl>,
# PlotSpacing <dbl>, MaxNOHAV <dbl>, logFYLD <dbl>, logTOPYLD <dbl>,
# logRTNO <dbl>, PropNOHAV <dbl>, MCMDS <dbl>, OrigKeyFile <chr>,
# OriginOfSample <chr>, FullSampleName <chr>, GID <chr>
All downstream analyses in this step will by on a per-trial (location-year-studyName combination).
This function converts a data.frame where each row is a plot to one where each row is a trial, with a list-type column TrialData containing the corresponding trial’s plot-data.
nestByTrials<-function(indata){
nested_indata<-indata %>%
# Create some explicitly nested variables including loc and year to nest with the trial data
mutate(yearInLoc=paste0(programName,"_",locationName,"_",studyYear),
trialInLocYr=paste0(yearInLoc,"_",studyName),
repInTrial=paste0(trialInLocYr,"_",replicate),
blockInRep=paste0(repInTrial,"_",blockNumber)) %>%
nest(TrialData=-c(programName,locationName,studyYear,TrialType,studyName))
return(nested_indata)
}
# A tibble: 6 x 6
studyYear programName locationName studyName TrialType TrialData
<int> <chr> <chr> <chr> <chr> <list>
1 2012 NRCRI Umudike 12CET500TP1umu TP1 <tibble [1,500 ×…
2 2013 NRCRI Umudike 13CET489tp2umu TP2 <tibble [1,500 ×…
3 2013 NRCRI Otobi 13CET518TP1Oto… TP1 <tibble [1,554 ×…
4 2013 NRCRI Umudike 13CET518TP1umu TP1 <tibble [1,554 ×…
5 2013 NRCRI Kano 13TP1CET518kano TP1 <tibble [1,554 ×…
6 2015 NRCRI Kano 14CETtp2set2ka… TP2 <tibble [250 × 3…
# A tibble: 6 x 36
studyDesign plotWidth plotLength fieldSize plantingDate harvestDate
<chr> <dbl> <dbl> <dbl> <chr> <chr>
1 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
2 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
3 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
4 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
5 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
6 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
# … with 30 more variables: germplasmName <chr>, replicate <int>,
# blockNumber <int>, plotNumber <int>, rowNumber <lgl>, colNumber <int>,
# entryType <chr>, CGM <lgl>, CGMS1 <dbl>, CGMS2 <dbl>, DM <dbl>,
# PLTHT <dbl>, BRNHT1 <dbl>, NOHAV <dbl>, HI <dbl>, PlotSpacing <dbl>,
# MaxNOHAV <dbl>, logFYLD <dbl>, logTOPYLD <dbl>, logRTNO <dbl>,
# PropNOHAV <dbl>, MCMDS <dbl>, OrigKeyFile <chr>, OriginOfSample <chr>,
# FullSampleName <chr>, GID <chr>, yearInLoc <chr>, trialInLocYr <chr>,
# repInTrial <chr>, blockInRep <chr>
The next step is to check the experimental design of each trial. If you are absolutely certain of the usage of the design variables in your dataset, you might not need this step.
Examples of reasons to do the step below:
One reason it might be important to get this right is that the variance among complete blocks might not be the same among incomplete blocks. If we treat a mixture of complete and incomplete blocks as part of the same random-effect (replicated-within-trial), we assume they have the same variance.
Also error variances might be heterogeneous among different trial-types (blocking scheme available) and/or plot sizes (maxNOHAV).
detectExptDesigns<-function(nestedDBdata){
# Define complete blocks
nestedDBdata %>%
mutate(Nobs=map_dbl(TrialData,~nrow(.)),
MaxNOHAV=map_dbl(TrialData,~unique(.$MaxNOHAV)),
Nrep=map_dbl(TrialData,~length(unique(.$replicate))),
Nblock=map_dbl(TrialData,~length(unique(.$blockInRep))),
Nclone=map_dbl(TrialData,~length(unique(.$germplasmName))),
# median number of obs per clone
medObsPerClone=map_dbl(TrialData,~count(.,germplasmName) %$% round(median(n),1)),
# median number of obs per replicate
medObsPerRep=map_dbl(TrialData,~count(.,replicate) %$% round(median(n),1)),
# Define complete block effects based on the "replicate" variable
CompleteBlocks=ifelse(Nrep>1 & medObsPerClone==Nrep & Nobs!=Nrep,TRUE,FALSE),
# Additional trials with imperfect complete blocks
CompleteBlocks=ifelse(Nrep>1 & medObsPerClone!=Nrep & medObsPerClone>1 & Nobs!=Nrep,TRUE,CompleteBlocks)) -> x
x %>%
# Some complete blocks may only be represented by the "blockNumber" column
mutate(medBlocksPerClone=map_dbl(TrialData,~select(.,blockInRep,germplasmName) %>%
# median number of blockInRep per clone
distinct %>%
count(germplasmName) %$%
round(median(n))),
# If CompleteBlocks==FALSE (complete blocks not detected based on replicate)
# and if more than half the clones are represented in more than one block based on the blockInRep variable
# Copy the blockInRep values into the repInTrial column
# Recompute Nrep
# and declare CompleteBlocks==TRUE
TrialData=ifelse(medBlocksPerClone>1 & CompleteBlocks==FALSE,map(TrialData,~mutate(.,repInTrial=blockInRep)),TrialData),
Nrep=map_dbl(TrialData,~length(unique(.$repInTrial))),
CompleteBlocks=ifelse(medBlocksPerClone>1 & CompleteBlocks==FALSE,TRUE,CompleteBlocks)) -> y
# Define incomplete blocks
y %>%
mutate(repsEqualBlocks=map_lgl(TrialData,~all(.$replicate==.$blockNumber)),
NrepEqualNblock=ifelse(Nrep==Nblock,TRUE,FALSE),
medObsPerBlockInRep=map_dbl(TrialData,~count(.,blockInRep) %$% round(median(n),1))) -> z
# Define complete blocked trials with nested sub-blocks
z %<>%
mutate(IncompleteBlocks=ifelse(CompleteBlocks==TRUE & Nobs!=Nblock & Nblock>1 & medObsPerBlockInRep>1 & NrepEqualNblock==FALSE,TRUE,FALSE))
# Define clearly unreplicated (CompleteBlocks==FALSE & Nrep==1) trials with nested sub-blocks
z %<>%
mutate(IncompleteBlocks=ifelse(CompleteBlocks==FALSE & Nobs!=Nblock & Nblock>1 & medObsPerBlockInRep>1 & Nrep==1,TRUE,IncompleteBlocks))
# Define additional trials with incomplete blocks (blockInRep) where CompleteBlocks==FALSE but Nrep>1 and Nrep==Block
z %<>%
mutate(IncompleteBlocks=ifelse(CompleteBlocks==FALSE & IncompleteBlocks==FALSE &
Nobs!=Nblock & Nblock>1 & Nobs!=Nrep &
medObsPerBlockInRep>1 & Nrep>1 & NrepEqualNblock==TRUE,TRUE,IncompleteBlocks))
# Last few cases (2 trials actually) where Nrep>1 and Nblock>1 and Nrep!=Nblock but CompleteBlocks==FALSE
z %<>%
mutate(IncompleteBlocks=ifelse(CompleteBlocks==FALSE & IncompleteBlocks==FALSE &
Nobs!=Nblock & Nobs!=Nrep &
medObsPerBlockInRep>1 & Nrep>1,TRUE,IncompleteBlocks))
return(z)
}
Detect designs
# A tibble: 122 x 19
studyYear programName locationName studyName TrialType TrialData Nobs
<int> <chr> <chr> <chr> <chr> <list> <dbl>
1 2012 NRCRI Umudike 12CET500… TP1 <tibble … 1500
2 2013 NRCRI Umudike 13CET489… TP2 <tibble … 1500
3 2013 NRCRI Otobi 13CET518… TP1 <tibble … 1554
4 2013 NRCRI Umudike 13CET518… TP1 <tibble … 1554
5 2013 NRCRI Kano 13TP1CET… TP1 <tibble … 1554
6 2015 NRCRI Kano 14CETtp2… TP2 <tibble … 250
7 2014 NRCRI Umudike 14CETtp2… TP2 <tibble … 246
8 2014 NRCRI Umudike 15CET1tp… TP1 <tibble … 672
9 2015 NRCRI Umudike 15CETtp1… TP1 <tibble … 470
10 2015 NRCRI Umudike 15CETtp2… TP2 <tibble … 249
# … with 112 more rows, and 12 more variables: MaxNOHAV <dbl>, Nrep <dbl>,
# Nblock <dbl>, Nclone <dbl>, medObsPerClone <dbl>, medObsPerRep <dbl>,
# CompleteBlocks <lgl>, medBlocksPerClone <dbl>, repsEqualBlocks <lgl>,
# NrepEqualNblock <lgl>, medObsPerBlockInRep <dbl>, IncompleteBlocks <lgl>
# A tibble: 4 x 4
programName CompleteBlocks IncompleteBlocks n
<chr> <lgl> <lgl> <int>
1 NRCRI FALSE FALSE 3
2 NRCRI FALSE TRUE 15
3 NRCRI TRUE FALSE 78
4 NRCRI TRUE TRUE 26
# A tibble: 1,500 x 36
studyDesign plotWidth plotLength fieldSize plantingDate harvestDate
<chr> <dbl> <dbl> <dbl> <chr> <chr>
1 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
2 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
3 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
4 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
5 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
6 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
7 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
8 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
9 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
10 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
# … with 1,490 more rows, and 30 more variables: germplasmName <chr>,
# replicate <int>, blockNumber <int>, plotNumber <int>, rowNumber <lgl>,
# colNumber <int>, entryType <chr>, CGM <lgl>, CGMS1 <dbl>, CGMS2 <dbl>,
# DM <dbl>, PLTHT <dbl>, BRNHT1 <dbl>, NOHAV <dbl>, HI <dbl>,
# PlotSpacing <dbl>, MaxNOHAV <dbl>, logFYLD <dbl>, logTOPYLD <dbl>,
# logRTNO <dbl>, PropNOHAV <dbl>, MCMDS <dbl>, OrigKeyFile <chr>,
# OriginOfSample <chr>, FullSampleName <chr>, GID <chr>, yearInLoc <chr>,
# trialInLocYr <chr>, repInTrial <chr>, blockInRep <chr>
This next step fits models to each trial (for each trait)
rm(list=ls())
library(tidyverse); library(magrittr);
dbdata<-readRDS(here::here("data","NRCRI_ExptDesignsDetected_2020April21.rds"))
traits<-c("CGM","CGMS1","CGMS2","MCMDS","DM","PLTHT","BRNHT1","HI","logFYLD","logTOPYLD","logRTNO")
Nest by trait-trial. This next function will structure input trial data by trait. This will facilitate looping downstream analyses over each trait for each trial.
nestTrialsByTrait<-function(indata,traits){
nested_trialdata<-dbdata %>%
select(-MaxNOHAV) %>%
unnest(TrialData) %>%
pivot_longer(cols = any_of(traits),
names_to = "Trait",
values_to = "TraitValue") %>%
nest(TraitByTrialData=-c(Trait,studyYear,programName,locationName,studyName,TrialType))
return(nested_trialdata)
}
# A tibble: 6 x 7
studyYear programName locationName studyName TrialType Trait TraitByTrialData
<int> <chr> <chr> <chr> <chr> <chr> <list>
1 2012 NRCRI Umudike 12CET500T… TP1 CGM <tibble [1,500 …
2 2012 NRCRI Umudike 12CET500T… TP1 CGMS1 <tibble [1,500 …
3 2012 NRCRI Umudike 12CET500T… TP1 CGMS2 <tibble [1,500 …
4 2012 NRCRI Umudike 12CET500T… TP1 MCMDS <tibble [1,500 …
5 2012 NRCRI Umudike 12CET500T… TP1 DM <tibble [1,500 …
6 2012 NRCRI Umudike 12CET500T… TP1 PLTHT <tibble [1,500 …
# A tibble: 1,500 x 38
studyDesign plotWidth plotLength fieldSize plantingDate harvestDate
<chr> <dbl> <dbl> <dbl> <chr> <chr>
1 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
2 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
3 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
4 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
5 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
6 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
7 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
8 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
9 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
10 Alpha 1 5 1.5 2012-Septem… 2013-Septe…
# … with 1,490 more rows, and 32 more variables: germplasmName <chr>,
# replicate <int>, blockNumber <int>, plotNumber <int>, rowNumber <lgl>,
# colNumber <int>, entryType <chr>, NOHAV <dbl>, PlotSpacing <dbl>,
# MaxNOHAV <dbl>, PropNOHAV <dbl>, OrigKeyFile <chr>, OriginOfSample <chr>,
# FullSampleName <chr>, GID <chr>, yearInLoc <chr>, trialInLocYr <chr>,
# repInTrial <chr>, blockInRep <chr>, Nobs <dbl>, Nrep <dbl>, Nblock <dbl>,
# Nclone <dbl>, medObsPerClone <dbl>, medObsPerRep <dbl>,
# CompleteBlocks <lgl>, medBlocksPerClone <dbl>, repsEqualBlocks <lgl>,
# NrepEqualNblock <lgl>, medObsPerBlockInRep <dbl>, IncompleteBlocks <lgl>,
# TraitValue <dbl>
Minor support function: calc. proportion missing given a numeric vector.
Function to curate a single trait-trial data chunk.
# Trait<-"logFYLD"
# TraitByTrialData<-dbdata %>% filter(studyName=="18C2acrossingblockCETubiaja",Trait=="logFYLD") %$% TraitByTrialData[[1]]
# GID="GID"
#rm(Trait,TraitData,GID)
curateTrialOneTrait<-function(Trait,TraitByTrialData,GID="GID"){
require(lme4)
modelFormula<-paste0("TraitValue ~ (1|",GID,")")
modelFormula<-ifelse(all(TraitByTrialData$CompleteBlocks),
paste0(modelFormula,"+(1|repInTrial)"),modelFormula)
modelFormula<-ifelse(all(TraitByTrialData$IncompleteBlocks),
paste0(modelFormula,"+(1|blockInRep)"),modelFormula)
modelFormula<-ifelse(grepl("logRTNO",Trait) | grepl("logFYLD",Trait) | grepl("logTOPYLD",Trait),
paste0(modelFormula,"+PropNOHAV"),modelFormula)
propMiss<-calcPropMissing(TraitByTrialData$TraitValue)
fit_model<-possibly(function(modelFormula,TraitByTrialData){
model_out<-lmer(as.formula(modelFormula),data=TraitByTrialData)
if(!is.na(model_out)){
outliers<-which(abs(rstudent(model_out))>=3.3)
if(length(outliers)>0){
model_out<-lmer(as.formula(modelFormula),data=TraitByTrialData,
subset=abs(rstudent(model_out))<3.3)
}
}
return(list(model_out=model_out,outliers=outliers)) },
otherwise = NA)
model_out<-fit_model(modelFormula,TraitByTrialData)
if(is.na(model_out)){
out <-tibble(H2=NA,VarComps=list(NULL),BLUPs=list(NULL),Model=modelFormula,Noutliers=NA,Outliers=NA,propMiss=propMiss)
} else {
varcomps<-as.data.frame(VarCorr(model_out[["model_out"]]))[,c("grp","vcov")] %>%
spread(grp,vcov)
Vg<-varcomps$GID
H2<-Vg/(Vg+varcomps$Residual)
BLUP<-ranef(model_out[["model_out"]], condVar=TRUE)[[GID]]
PEV <- c(attr(BLUP, "postVar"))
blups<-tibble(GID=rownames(BLUP),BLUP=BLUP$`(Intercept)`,PEV=PEV) %>%
mutate(REL=1-(PEV/Vg),
drgBLUP=BLUP/REL,
WT=(1-H2)/((0.1 + (1-REL)/REL)*H2))
out <- tibble(H2=H2,
VarComps=list(varcomps),
BLUPs=list(blups),
Model=modelFormula,
Noutliers=length(model_out[["outliers"]]),
Outliers=list(model_out[["outliers"]]),
propMiss=propMiss) }
return(out)
}
tibble [1 × 13] (S3: tbl_df/tbl/data.frame)
$ studyYear : int 2012
$ programName : chr "NRCRI"
$ locationName: chr "Umudike"
$ studyName : chr "12CET500TP1umu"
$ TrialType : chr "TP1"
$ Trait : chr "CGMS1"
$ H2 : num 7.36e-07
$ VarComps :List of 1
..$ :'data.frame': 1 obs. of 4 variables:
.. ..$ blockInRep: num 0.00029
.. ..$ GID : num 4.3e-08
.. ..$ repInTrial: num 0.000914
.. ..$ Residual : num 0.0584
$ BLUPs :List of 1
..$ : tibble [500 × 6] (S3: tbl_df/tbl/data.frame)
.. ..$ GID : chr [1:500] "AR124:250107818" "AR1410:250399710" "AR144:250107805" "AR155:250134515" ...
.. ..$ BLUP : num [1:500] -4.87e-08 -3.60e-08 -6.19e-08 -3.69e-08 -3.24e-09 ...
.. ..$ PEV : num [1:500] 4.3e-08 4.3e-08 4.3e-08 4.3e-08 4.3e-08 ...
.. ..$ REL : num [1:500] 2.20e-06 2.20e-06 2.20e-06 2.19e-06 1.46e-06 ...
.. ..$ drgBLUP: num [1:500] -0.02218 -0.01642 -0.0282 -0.01683 -0.00222 ...
.. ..$ WT : num [1:500] 2.98 2.98 2.98 2.98 1.99 ...
$ Model : chr "TraitValue ~ (1|GID)+(1|repInTrial)+(1|blockInRep)"
$ Noutliers : int 11
$ Outliers :List of 1
..$ : Named int [1:11] 1 224 245 603 606 644 675 841 917 1071 ...
.. ..- attr(*, "names")= chr [1:11] "1" "225" "247" "613" ...
$ propMiss : num 0.0187
# A tibble: 1,342 x 13
studyYear programName locationName studyName TrialType Trait H2
<int> <chr> <chr> <chr> <chr> <chr> <dbl>
1 2012 NRCRI Umudike 12CET500… TP1 CGM NA
2 2012 NRCRI Umudike 12CET500… TP1 CGMS1 7.36e-7
3 2012 NRCRI Umudike 12CET500… TP1 CGMS2 3.26e-2
4 2012 NRCRI Umudike 12CET500… TP1 MCMDS 1.44e-3
5 2012 NRCRI Umudike 12CET500… TP1 DM NA
6 2012 NRCRI Umudike 12CET500… TP1 PLTHT 2.86e-4
7 2012 NRCRI Umudike 12CET500… TP1 BRNH… 3.75e-2
8 2012 NRCRI Umudike 12CET500… TP1 HI 0.
9 2012 NRCRI Umudike 12CET500… TP1 logF… 9.55e-3
10 2012 NRCRI Umudike 12CET500… TP1 logT… 0.
# … with 1,332 more rows, and 6 more variables: VarComps <list>, BLUPs <list>,
# Model <chr>, Noutliers <int>, Outliers <list>, propMiss <dbl>
dbdata %>%
ggplot(.,aes(x=Trait,y=H2,fill=Trait)) +
geom_boxplot(color='darkgray') +
theme_bw() +
scale_fill_viridis_d(option = 'magma') +
theme(axis.text.x = element_text(face='bold',angle=90))
dbdata %>%
select(studyYear:VarComps) %>%
unnest(VarComps) %>%
ggplot(.,aes(x=TrialType,y=Residual,fill=TrialType)) +
geom_boxplot(color='darkgray') +
theme_bw() + facet_wrap(~Trait,scales = 'free',nrow=2) +
scale_fill_viridis_d(option = 'inferno') + theme(axis.text.x = element_text(angle=90,face='bold'))
dbdata %>%
select(studyYear:VarComps) %>%
unnest(VarComps) %>%
ggplot(.,aes(x=TrialType,y=H2,fill=TrialType)) +
geom_boxplot(color='darkgray') +
theme_bw() + facet_wrap(~Trait,scales = 'free',nrow=2) +
scale_fill_viridis_d(option = 'inferno') + theme(axis.text.x = element_text(angle=90,face='bold'))
dbdata %>%
ggplot(.,aes(x=TrialType,y=Noutliers,fill=TrialType)) +
geom_boxplot(color='darkgray') +
theme_bw() + facet_wrap(~Trait,scales = 'free',nrow=2) +
scale_fill_viridis_d(option = 'inferno') + theme(axis.text.x = element_text(angle=90,face='bold'))
Version | Author | Date |
---|---|---|
345a2fb | wolfemd | 2020-10-09 |
dbdata %>%
ggplot(.,aes(x=TrialType,y=propMiss,fill=TrialType)) +
geom_boxplot(color='darkgray') +
theme_bw() + facet_wrap(~Trait,scales = 'free',nrow=2) +
scale_fill_viridis_d(option = 'inferno') + theme(axis.text.x = element_text(angle=90,face='bold'))
Version | Author | Date |
---|---|---|
345a2fb | wolfemd | 2020-10-09 |
R version 4.0.2 (2020-06-22)
Platform: x86_64-apple-darwin17.0 (64-bit)
Running under: macOS Mojave 10.14.6
Matrix products: default
BLAS: /Library/Frameworks/R.framework/Versions/4.0/Resources/lib/libRblas.dylib
LAPACK: /Library/Frameworks/R.framework/Versions/4.0/Resources/lib/libRlapack.dylib
locale:
[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8
attached base packages:
[1] stats graphics grDevices utils datasets methods base
other attached packages:
[1] lme4_1.1-23 Matrix_1.2-18 magrittr_1.5 forcats_0.5.0
[5] stringr_1.4.0 dplyr_1.0.2 purrr_0.3.4 readr_1.4.0
[9] tidyr_1.1.2 tibble_3.0.4 ggplot2_3.3.2 tidyverse_1.3.0
[13] workflowr_1.6.2
loaded via a namespace (and not attached):
[1] httr_1.4.2 jsonlite_1.7.1 viridisLite_0.3.0 splines_4.0.2
[5] here_0.1 modelr_0.1.8 assertthat_0.2.1 statmod_1.4.34
[9] blob_1.2.1 cellranger_1.1.0 yaml_2.2.1 pillar_1.4.6
[13] backports_1.1.10 lattice_0.20-41 glue_1.4.2 digest_0.6.25
[17] promises_1.1.1 rvest_0.3.6 minqa_1.2.4 colorspace_1.4-1
[21] htmltools_0.5.0 httpuv_1.5.4 pkgconfig_2.0.3 broom_0.7.1
[25] haven_2.3.1 scales_1.1.1 whisker_0.4 later_1.1.0.1
[29] git2r_0.27.1 generics_0.0.2 farver_2.0.3 ellipsis_0.3.1
[33] withr_2.3.0 cli_2.1.0 crayon_1.3.4 readxl_1.3.1
[37] evaluate_0.14 ps_1.4.0 fs_1.5.0 fansi_0.4.1
[41] nlme_3.1-149 MASS_7.3-53 xml2_1.3.2 tools_4.0.2
[45] hms_0.5.3 lifecycle_0.2.0 munsell_0.5.0 reprex_0.3.0
[49] compiler_4.0.2 rlang_0.4.8 grid_4.0.2 nloptr_1.2.2.2
[53] rstudioapi_0.11 labeling_0.3 rmarkdown_2.4 boot_1.3-25
[57] gtable_0.3.0 DBI_1.1.0 R6_2.4.1 lubridate_1.7.9
[61] knitr_1.30 utf8_1.1.4 rprojroot_1.3-2 stringi_1.5.3
[65] Rcpp_1.0.5 vctrs_0.3.4 dbplyr_1.4.4 tidyselect_1.1.0
[69] xfun_0.18