Last updated: 2020-11-20

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Knit directory: finemap-uk-biobank/

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The UkB blood cell traits are

PheID Abbrev Phenotype Cell type Determination
30000 WBCcount White blood cell count Compound white cell Measured
30010 RBCcount Red blood cell count Mature red cell Measured
30020 HGB Haemoglobin concentration Mature red cell Measured
30030 HCT Haematocrit percentage Mature red cell (RBCcount x MCV) / 10
30040 MCV Mean corpuscular volume Mature red cell Measured
30050 MCH Mean corpuscular haemoglobin Mature red cell (hemoglobin/RBCcount) x 10
30060 MCHC Mean corpuscular haemoglobin concentration Mature red cell (haemoglobin/haematocrit) x 100
30070 RDW Red blood cell distribution width Mature red cell Measured
30080 PLTcount Platelet count Platelet Measured
30090 PCT Platelet crit Platelet Measured
30100 MPV Mean platelet (thrombocyte) volume Platelet (PCT/PLTcount) x 10000
30110 PDW Platelet distribution width Platelet Measured
30120 LYMPHcount Lymphocyte count Lymphoid white cell (LYMPHperc/100) x WBCcount
30130 MONOcount Monocyte count Myeloid white cell (MONOperc/100) x WBCcount
30140 NEUTcount Neutrophill count Myeloid white cell (NEUTperc/100) x WBCcount
30150 EOcount Eosinophill count Myeloid white cell (EOperc/100) x WBCcount
30160 BASOcount Basophill count Myeloid white cell (BASOperc/100) x WBCcount
30180 LYMPHperc Lymphocyte percentage Compound white cell Measured
30190 MONOperc Monocyte percentage Compound white cell Measured
30200 NEUTperc Neutrophill percentage Compound white cell Measured
30210 EOperc Eosinophill percentage Compound white cell Measured
30220 BASOperc Basophill percentage Compound white cell Measured
30240 RETperc Reticulocyte percentage Immature red cell Measured
30250 RETcount Reticulocyte count Immature red cell (RETperc/100) × RBCcount
30260 MRV Mean reticulocyte volume Immature red cell MCV x (RETperc/100)
30270 MSCV Mean sphered cell volume Mature red cell Measured
30280 IRF Immature reticulocyte fraction Immature red cell HLRcount/RETcount
30290 HLRperc High light scatter reticulocyte percentage Immature red cell Measured
30300 HLRcount High light scatter reticulocyte count Immature red cell (HLRperc/100) × RBCcount

To prepare the phenotype data, we need to remove samples with abnormal observations. Since we will jointly model blood cell traits using multivariate normal distribution, we want to discard outliers in multivariate normal, instead of univariate normal. There are derived phenotypes which depend on several measured phenotype. To simplify the problem, we discard directly derived phenotypes. We use 16 phenotypes.

trait_names = c("WBC_count", "RBC_count", "Haemoglobin", "MCV", "RDW", "Platelet_count", "Plateletcrit", "PDW", "Lymphocyte_perc", "Monocyte_perc", "Neutrophill_perc", "Eosinophill_perc", "Basophill_perc", "Reticulocyte_perc", "MSCV", "HLR_perc")

We filtered individuals with following criteria:

  1. Remove samples that are not marked as being "White British".

  2. Remove samples with missing values.

  3. Remove samples with mismatches between self-reported and genetic sex.

  4. Remove outliers defined by UK Biobank.

  5. Remove any individuals have at leat one relative based on the kinship calculations.

  6. Remove any pregnant individuals.

  7. Remove any individuals with following in hospital in-patient data:

    leukemia, lymphoma, bone marrow transplant, chemotherapy, myelodysplastic syndrome, anemia, HIV, end-stage kidney disease, dialysis, cirrhosis, multiple myeloma, lymphocytic leukemia, myeloid leukemia, polycythaemia vera, haemochromatosis

  8. Identify outliers in multivariate normal.

Load UKBiobank Blood Cell traits (individuals are filtered using script before line 121).

library(data.table)
library(dplyr)
dat = fread('data/bloodcells1.csv')
class(dat) <- "data.frame"

There are 257605 individuals.

Check distribution for each trait:

par(mfrow=c(2,3))
hist(dat$WBC_count[dat$WBC_count < 20], breaks = 100, main=paste0('WBC_count ', sum(dat$WBC_count > 20), ' inds > 20'), xlab='x')
hist(dat$RBC_count, main='RBC_count', xlab='x', breaks = 100)
hist(dat$Haemoglobin, main='Haemoglobin', xlab='x', breaks = 100)
hist(dat$MCV, main='MCV', xlab='x', breaks = 100)
hist(dat$RDW[dat$RDW < 20], main=paste0('RDW ', sum(dat$RDW > 20), ' inds > 20'), xlab='x', breaks = 100)
hist(dat$Platelet_count, main='Platelet_count', xlab='x', breaks = 100)

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hist(dat$Plateletcrit, main='Plateletcrit', xlab='x', breaks = 100)
hist(dat$PDW, main='PDW', xlab='x', breaks = 50)
hist(dat$Lymphocyte_perc, main='Lymphocyte_perc', xlab='x', breaks = 100)
hist(dat$Monocyte_perc[dat$Monocyte_perc < 20], main=paste0('Monocyte_perc ', sum(dat$Monocyte_perc > 20), ' inds > 20'), xlab='x', breaks = 100)
hist(dat$Neutrophill_perc, main='Neutrophill_perc', xlab='x', breaks = 100)
hist(dat$Eosinophill_perc[dat$Eosinophill_perc < 10], main=paste0('Eosinophill_perc ', sum(dat$Eosinophill_perc > 10), ' inds > 10'), xlab='x', breaks = 100)

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hist(dat$Basophill_perc[dat$Basophill_perc < 4], main=paste0('Basophill_perc ', sum(dat$Basophill_perc > 4), ' inds > 4'), xlab='x', breaks = 50)
hist(dat$Reticulocyte_perc[dat$Reticulocyte_perc < 4], main=paste0('Reticulocyte_perc ', sum(dat$Reticulocyte_perc > 4), ' inds > 4'), xlab='x', breaks = 50)
hist(dat$MSCV, main='MSCV', xlab='x', breaks = 100)
hist(dat$HLR_perc[dat$HLR_perc < 2], main=paste0('HLR_perc ', sum(dat$HLR_perc > 2), ' inds > 2'), xlab='x', breaks = 50)

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Inverse normalization for each trait:

dat_1 = dat
for(i in 16:31){
  dat_1[,i] = qnorm((rank(dat_1[,i],na.last="keep")-0.5)/sum(!is.na(dat_1[,i])))
}
par(mfrow=c(2,3))
for(i in 16:31){
  hist(dat_1[,i], breaks = 50, main=colnames(dat_1)[i], xlab='x')
}

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Identify Outliers

trait_names = c("WBC_count", "RBC_count", "Haemoglobin", "MCV", "RDW", "Platelet_count", "Plateletcrit", "PDW", "Lymphocyte_perc", "Monocyte_perc", "Neutrophill_perc", "Eosinophill_perc", "Basophill_perc", "Reticulocyte_perc", "MSCV", "HLR_perc")
dat_1_traits = dat_1 %>% select(all_of(trait_names))

Covariace matrix of traits

library(corrplot)
corrplot 0.84 loaded
covy = cov(dat_1_traits)
corrplot(covy, method='color', type='upper', tl.col="black", tl.srt=45, is.corr = FALSE)

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Measure Mahalanobis distance

D2 = stats::mahalanobis(dat_1_traits, center=0, cov=covy) # squared Mahalanobis distance
{hist(D2[D2 < 60], breaks = 100, main=paste0('Mahalanobis distance: ', sum(D2 > 60), ' inds D2 > 60'),  xlab='D2')
abline(v=qchisq(0.01, df=16, lower.tail = F))}

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The Mahalanobis distance follows a Chi-Square distribution with df = 16. We compute the 99.9%-Quantile of the Chi-Square distribution with 16 degrees of freedomm and we remove samples with Mahalanobis distance greater than the distance.

dat_select = dat_1[D2 < qchisq(0.01, df=16, lower.tail = F),]

There are 248980 individuals.


sessionInfo()
R version 3.6.3 (2020-02-29)
Platform: x86_64-apple-darwin15.6.0 (64-bit)
Running under: macOS  10.16

Matrix products: default
BLAS:   /Library/Frameworks/R.framework/Versions/3.6/Resources/lib/libRblas.0.dylib
LAPACK: /Library/Frameworks/R.framework/Versions/3.6/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] corrplot_0.84     dplyr_1.0.2       data.table_1.13.2 workflowr_1.6.2  

loaded via a namespace (and not attached):
 [1] Rcpp_1.0.5       rstudioapi_0.11  whisker_0.4      knitr_1.30      
 [5] magrittr_1.5     tidyselect_1.1.0 R6_2.5.0         rlang_0.4.8     
 [9] stringr_1.4.0    tools_3.6.3      xfun_0.19        git2r_0.27.1    
[13] htmltools_0.5.0  ellipsis_0.3.1   rprojroot_1.3-2  yaml_2.2.1      
[17] digest_0.6.27    tibble_3.0.4     lifecycle_0.2.0  crayon_1.3.4    
[21] purrr_0.3.4      later_1.1.0.1    vctrs_0.3.4      promises_1.1.1  
[25] fs_1.5.0         glue_1.4.2       evaluate_0.14    rmarkdown_2.5   
[29] stringi_1.5.3    compiler_3.6.3   pillar_1.4.6     generics_0.1.0  
[33] backports_1.2.0  httpuv_1.5.4     pkgconfig_2.0.3