SCZ - Brain Cerebellum

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Last updated: 2022-03-05

Checks: 5 2

Knit directory: cTWAS_analysis/

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/project2/xinhe/shengqian/cTWAS/cTWAS_analysis/data/	data
/project2/xinhe/shengqian/cTWAS/cTWAS_analysis/code/ctwas_config.R	code/ctwas_config.R

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Ignored files:
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Untracked files:
    Untracked:  Rplot.png
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Unstaged changes:
    Modified:   analysis/BMI_Brain_Putamen_basal_ganglia.Rmd
    Modified:   analysis/SCZ_Brain_Amygdala.Rmd
    Modified:   analysis/SCZ_Brain_Anterior_cingulate_cortex_BA24.Rmd
    Modified:   analysis/SCZ_Brain_Caudate_basal_ganglia.Rmd
    Modified:   analysis/SCZ_Brain_Cerebellar_Hemisphere.Rmd
    Modified:   analysis/SCZ_Brain_Cerebellum.Rmd
    Modified:   analysis/SCZ_Brain_Cortex.Rmd
    Modified:   analysis/SCZ_Brain_Frontal_Cortex_BA9.Rmd
    Modified:   analysis/SCZ_Brain_Hippocampus.Rmd
    Modified:   analysis/SCZ_Brain_Hypothalamus.Rmd
    Modified:   analysis/SCZ_Brain_Nucleus_accumbens_basal_ganglia.Rmd
    Modified:   analysis/SCZ_Brain_Spinal_cord_cervical_c-1.Rmd
    Modified:   analysis/SCZ_Brain_Substantia_nigra.Rmd

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Weight QC

#number of imputed weights
nrow(qclist_all)

[1] 11540

#number of imputed weights by chromosome
table(qclist_all$chr)

   1    2    3    4    5    6    7    8    9   10   11   12   13   14   15   16 
1112  817  667  419  566  572  571  434  457  464  693  659  232  385  381  551 
  17   18   19   20   21   22 
 700  174  910  343  128  305 

#number of imputed weights without missing variants
sum(qclist_all$nmiss==0)

[1] 8891

#proportion of imputed weights without missing variants
mean(qclist_all$nmiss==0)

[1] 0.7705

Check convergence of parameters

Past versions of unnamed-chunk-5-1.png

Version	Author	Date
ff6403a	sq-96	2022-02-27

#estimated group prior
estimated_group_prior <- group_prior_rec[,ncol(group_prior_rec)]
names(estimated_group_prior) <- c("gene", "snp")
estimated_group_prior["snp"] <- estimated_group_prior["snp"]*thin #adjust parameter to account for thin argument
print(estimated_group_prior)

     gene       snp 
0.0147028 0.0002445 

#estimated group prior variance
estimated_group_prior_var <- group_prior_var_rec[,ncol(group_prior_var_rec)]
names(estimated_group_prior_var) <- c("gene", "snp")
print(estimated_group_prior_var)

 gene   snp 
8.286 8.849 

#report sample size
print(sample_size)

[1] 82315

#report group size
group_size <- c(nrow(ctwas_gene_res), n_snps)
print(group_size)

[1]   11540 7573890

#estimated group PVE
estimated_group_pve <- estimated_group_prior_var*estimated_group_prior*group_size/sample_size #check PVE calculation
names(estimated_group_pve) <- c("gene", "snp")
print(estimated_group_pve)

   gene     snp 
0.01708 0.19908 

#compare sum(PIP*mu2/sample_size) with above PVE calculation
c(sum(ctwas_gene_res$PVE),sum(ctwas_snp_res$PVE))

[1] 0.08822 1.53847

Genes with highest PIPs

Past versions of unnamed-chunk-7-1.png

Version	Author	Date
ff6403a	sq-96	2022-02-27

        genename region_tag susie_pip   mu2       PVE      z num_eqtl
11129     ZNF823      19_10    0.9840 28.84 0.0003447  5.501        2
4195       FEZF1       7_74    0.9784 27.54 0.0003273 -5.314        1
5873      GALNT2      1_117    0.9207 22.69 0.0002538  4.705        2
12285 AC012074.2       2_15    0.9057 21.29 0.0002343  4.623        1
1532     PIK3IP1      22_11    0.8790 21.10 0.0002253  4.340        1
6351     ARFGAP2      11_29    0.7986 23.89 0.0002318  4.740        1
3127       SF3B1      2_117    0.7879 42.04 0.0004024  6.725        1
7609    SERPINI1      3_103    0.7858 19.74 0.0001885 -4.085        2
11503      DISP3        1_9    0.7784 20.82 0.0001969  3.912        1
3914       CNOT1      16_31    0.7776 26.36 0.0002490  5.341        2
1753        PTK6      20_37    0.7546 29.21 0.0002677 -5.380        2
3758        SSPN      12_18    0.7528 21.07 0.0001927  4.024        1
450       ARID1B      6_102    0.7328 21.01 0.0001871 -3.907        1
6495    FAM177A1       14_9    0.6873 22.12 0.0001847 -4.480        3
12147    ANKRD63      15_14    0.6838 28.66 0.0002381  5.452        1
3267      MAP7D1       1_22    0.6838 23.90 0.0001985 -4.907        1
10100     NPIPA1      16_15    0.6712 21.50 0.0001753  4.072        1
9461      DIRAS1       19_3    0.6677 22.93 0.0001860 -4.658        1
13946     EBLN3P       9_28    0.6670 21.43 0.0001737 -4.450        1
753       ATP1B3       3_87    0.6637 22.08 0.0001781  3.663        1

Genes with largest effect sizes

Past versions of unnamed-chunk-8-1.png

Version	Author	Date
ff6403a	sq-96	2022-02-27

         genename region_tag susie_pip     mu2       PVE       z num_eqtl
11951     PLEKHM1      17_27 2.769e-05 2961.56 9.961e-07  3.2051        1
12200     FAM215B      17_27 0.000e+00 2370.93 0.000e+00 -3.3160        1
9739     HLA-DQB1       6_26 9.426e-14  859.83 9.846e-16  4.2352        1
10933    HLA-DQA1       6_26 1.703e-13  480.05 9.932e-16  1.9545        1
10811    HLA-DRB1       6_26 1.069e-13  446.81 5.803e-16  3.7636        2
3541       KANSL1      17_27 0.000e+00  317.95 0.000e+00  3.0672        1
10394      ARL17A      17_27 0.000e+00  317.95 0.000e+00  3.0672        1
12087      ARL17B      17_27 0.000e+00  317.95 0.000e+00 -3.0672        1
12366    HLA-DQA2       6_26 1.492e-13  293.87 5.327e-16  0.8547        1
9906        ACBD4      17_27 0.000e+00  156.57 0.000e+00  1.8587        2
5027         NMT1      17_27 0.000e+00  126.28 0.000e+00  2.7209        1
2468         WNT3      17_27 0.000e+00  123.13 0.000e+00  0.2418        1
10265       FMNL1      17_27 0.000e+00  120.89 0.000e+00  0.6638        1
9085        DCAKD      17_27 0.000e+00  108.98 0.000e+00 -1.8291        2
12183     CYP21A2       6_26 2.681e-12   96.41 3.140e-15  0.1375        1
11460      HSPA1L       6_26 1.806e-13   92.93 2.039e-16  0.9130        1
11924         C4B       6_26 1.782e-13   91.62 1.983e-16 -2.5606        2
7137     ARHGAP27      17_27 0.000e+00   84.67 0.000e+00  0.9681        2
13535 RP1-86C11.7       6_21 1.812e-01   66.58 1.465e-04  9.0332        1
4427        C1QL1      17_27 0.000e+00   63.90 0.000e+00  2.1524        2

Genes with highest PVE

        genename region_tag susie_pip   mu2       PVE      z num_eqtl
3127       SF3B1      2_117    0.7879 42.04 0.0004024  6.725        1
11129     ZNF823      19_10    0.9840 28.84 0.0003447  5.501        2
4195       FEZF1       7_74    0.9784 27.54 0.0003273 -5.314        1
13918  LINC02033       3_28    0.6267 41.50 0.0003160 -6.688        1
1753        PTK6      20_37    0.7546 29.21 0.0002677 -5.380        2
5873      GALNT2      1_117    0.9207 22.69 0.0002538  4.705        2
3914       CNOT1      16_31    0.7776 26.36 0.0002490  5.341        2
12147    ANKRD63      15_14    0.6838 28.66 0.0002381  5.452        1
12285 AC012074.2       2_15    0.9057 21.29 0.0002343  4.623        1
6351     ARFGAP2      11_29    0.7986 23.89 0.0002318  4.740        1
1532     PIK3IP1      22_11    0.8790 21.10 0.0002253  4.340        1
3267      MAP7D1       1_22    0.6838 23.90 0.0001985 -4.907        1
11381  LINC00222       6_73    0.6071 26.74 0.0001972 -5.182        1
11503      DISP3        1_9    0.7784 20.82 0.0001969  3.912        1
3758        SSPN      12_18    0.7528 21.07 0.0001927  4.024        1
7609    SERPINI1      3_103    0.7858 19.74 0.0001885 -4.085        2
450       ARID1B      6_102    0.7328 21.01 0.0001871 -3.907        1
9461      DIRAS1       19_3    0.6677 22.93 0.0001860 -4.658        1
412       CTNNA1       5_82    0.6500 23.43 0.0001850  5.046        1
6495    FAM177A1       14_9    0.6873 22.12 0.0001847 -4.480        3

Genes with largest z scores

         genename region_tag susie_pip   mu2       PVE      z num_eqtl
12064       HCG11       6_20  0.027923 63.10 2.140e-05  9.082        1
13097  CTA-14H9.5       6_20  0.027923 63.10 2.140e-05  9.082        1
13535 RP1-86C11.7       6_21  0.181176 66.58 1.465e-04  9.033        1
2890       PRSS16       6_21  0.039048 57.48 2.727e-05 -9.032        2
10943     ZSCAN16       6_22  0.020120 63.87 1.561e-05 -8.509        1
9834    HIST1H2BC       6_20  0.029117 49.53 1.752e-05 -8.028        1
10473      BTN3A2       6_20  0.021513 45.47 1.188e-05  7.711        2
10608    HIST1H1C       6_20  0.021800 41.34 1.095e-05 -7.382        2
5150        PGBD1       6_22  0.020856 44.61 1.130e-05 -7.166        3
7085      ZSCAN12       6_22  0.036348 34.55 1.526e-05 -6.844        1
10787     ZKSCAN3       6_22  0.029919 32.32 1.175e-05  6.777        2
3127        SF3B1      2_117  0.787861 42.04 4.024e-04  6.725        1
6323      CYP17A1      10_66  0.009517 29.77 3.442e-06  6.720        1
10627     ZSCAN23       6_22  0.115011 43.04 6.014e-05 -6.711        2
13918   LINC02033       3_28  0.626738 41.50 3.160e-04 -6.688        1
10984     ZSCAN26       6_22  0.021741 35.25 9.309e-06  6.656        3
2725       OGFOD2      12_75  0.006418 38.94 3.036e-06  6.518        1
9965      ARL6IP4      12_75  0.005859 38.62 2.749e-06 -6.491        1
2655          MDK      11_28  0.386935 37.17 1.747e-04 -6.357        1
3131        HSPE1      2_117  0.072993 35.44 3.143e-05  6.243        1

Comparing z scores and PIPs

Past versions of unnamed-chunk-11-1.png

Version	Author	Date
ff6403a	sq-96	2022-02-27

Past versions of unnamed-chunk-11-2.png

Version	Author	Date
ff6403a	sq-96	2022-02-27

[1] 0.007539

GO enrichment analysis for genes with PIP>0.5

#number of genes for gene set enrichment
length(genes)

[1] 32

Uploading data to Enrichr... Done.
  Querying GO_Biological_Process_2021... Done.
  Querying GO_Cellular_Component_2021... Done.
  Querying GO_Molecular_Function_2021... Done.
Parsing results... Done.
[1] "GO_Biological_Process_2021"

Past versions of unnamed-chunk-14-1.png

Version	Author	Date
ff6403a	sq-96	2022-02-27

                                                               Term Overlap
1         negative regulation of lipid kinase activity (GO:0090219)     2/8
2        positive regulation of mRNA metabolic process (GO:1903313)    2/13
3         regulation of neuron projection arborization (GO:0150011)    2/15
4           post-transcriptional gene silencing by RNA (GO:0035194)    2/20
5  positive regulation of cell projection organization (GO:0031346)   3/117
6             positive regulation of dephosphorylation (GO:0035306)    2/29
7                              gene silencing by miRNA (GO:0035195)    2/32
8     positive regulation of protein dephosphorylation (GO:0035307)    2/34
9            regulation of protein autophosphorylation (GO:0031952)    2/37
10                                mRNA destabilization (GO:0061157)    2/38
11      regulation of protein tyrosine kinase activity (GO:0061097)    2/39
12             regulation of protein dephosphorylation (GO:0035304)    2/41
   Adjusted.P.value              Genes
1           0.02002    PIK3IP1;PPP2R5A
2           0.02485        MOV10;CNOT1
3           0.02485         MOV10;DLG4
4           0.03355        MOV10;CNOT1
5           0.04669 DLG4;PTK6;SERPINI1
6           0.04669       PTPA;PPP2R5A
7           0.04669        MOV10;CNOT1
8           0.04669       PTPA;PPP2R5A
9           0.04669    PPP2R5B;PPP2R5A
10          0.04669        MOV10;CNOT1
11          0.04669          DLG4;PTK6
12          0.04727       PTPA;PPP2R5A
[1] "GO_Cellular_Component_2021"

Past versions of unnamed-chunk-14-2.png

Version	Author	Date
ff6403a	sq-96	2022-02-27

                                              Term Overlap Adjusted.P.value
1 protein phosphatase type 2A complex (GO:0000159)    3/17         0.000152
                 Genes
1 PTPA;PPP2R5B;PPP2R5A
[1] "GO_Molecular_Function_2021"

Past versions of unnamed-chunk-14-3.png

Version	Author	Date
ff6403a	sq-96	2022-02-27

                                                 Term Overlap Adjusted.P.value
1 protein phosphatase activator activity (GO:0072542)    3/13        6.315e-05
2 protein phosphatase regulator activity (GO:0019888)    3/57        3.080e-03
3         phosphatase activator activity (GO:0019211)    2/14        4.460e-03
                 Genes
1 PTPA;PPP2R5B;PPP2R5A
2 PTPA;PPP2R5B;PPP2R5A
3      PPP2R5B;PPP2R5A

DisGeNET enrichment analysis for genes with PIP>0.5

                                                 Description     FDR Ratio
62                             Disproportionate tall stature 0.02646  1/13
65 Familial encephalopathy with neuroserpin inclusion bodies 0.02646  1/13
70                               Hematopoetic Myelodysplasia 0.02646  2/13
78  HYPOGONADOTROPIC HYPOGONADISM 22 WITH OR WITHOUT ANOSMIA 0.02646  1/13
54                Refractory anemia with ringed sideroblasts 0.03172  1/13
63         Macular Dystrophy, Butterfly-Shaped Pigmentary, 2 0.03172  1/13
66         Patterned dystrophy of retinal pigment epithelium 0.03172  1/13
72                     CHROMOSOME 6q24-q25 DELETION SYNDROME 0.03172  1/13
75                                  MYELODYSPLASTIC SYNDROME 0.03172  2/13
79             Butterfly-shaped pigmentary macular dystrophy 0.03172  1/13
   BgRatio
62  1/9703
65  1/9703
70 29/9703
78  1/9703
54  2/9703
63  3/9703
66  3/9703
72  2/9703
75 67/9703
79  3/9703

WebGestalt enrichment analysis for genes with PIP>0.5

Loading the functional categories...
Loading the ID list...
Loading the reference list...
Performing the enrichment analysis...

Warning in oraEnrichment(interestGeneList, referenceGeneList, geneSet, minNum =
minNum, : No significant gene set is identified based on FDR 0.05!

NULL

PIP Manhattan Plot

Past versions of unnamed-chunk-17-1.png

Version	Author	Date
ff6403a	sq-96	2022-02-27

Sensitivity, specificity and precision for silver standard genes

#number of genes in known annotations
print(length(known_annotations))

[1] 130

#number of genes in known annotations with imputed expression
print(sum(known_annotations %in% ctwas_gene_res$genename))

[1] 67

#significance threshold for TWAS
print(sig_thresh)

[1] 4.595

#number of ctwas genes
length(ctwas_genes)

[1] 5

#number of TWAS genes
length(twas_genes)

[1] 87

#show novel genes (ctwas genes with not in TWAS genes)
ctwas_gene_res[ctwas_gene_res$genename %in% novel_genes,report_cols]

     genename region_tag susie_pip  mu2       PVE    z num_eqtl
1532  PIK3IP1      22_11     0.879 21.1 0.0002253 4.34        1

#sensitivity / recall
print(sensitivity)

   ctwas     TWAS 
0.007692 0.053846 

#specificity
print(specificity)

 ctwas   TWAS 
0.9997 0.9930 

#precision / PPV
print(precision)

  ctwas    TWAS 
0.20000 0.08046 

Past versions of unnamed-chunk-20-1.png

Version	Author	Date
75a1466	sq-96	2022-02-27
ff6403a	sq-96	2022-02-27

cTWAS is more precise than TWAS in distinguishing silver standard and bystander genes

#number of genes in known annotations (with imputed expression)
print(length(known_annotations))

[1] 67

#number of bystander genes (with imputed expression)
print(length(unrelated_genes))

[1] 806

#subset results to genes in known annotations or bystanders
ctwas_gene_res_subset <- ctwas_gene_res[ctwas_gene_res$genename %in% c(known_annotations, unrelated_genes),]

#assign ctwas and TWAS genes
ctwas_genes <- ctwas_gene_res_subset$genename[ctwas_gene_res_subset$susie_pip>0.8]
twas_genes <- ctwas_gene_res_subset$genename[abs(ctwas_gene_res_subset$z)>sig_thresh]

#significance threshold for TWAS
print(sig_thresh)

[1] 4.595

#number of ctwas genes (in known annotations or bystanders)
length(ctwas_genes)

[1] 1

#number of TWAS genes (in known annotations or bystanders)
length(twas_genes)

[1] 30

#sensitivity / recall
sensitivity

  ctwas    TWAS 
0.01493 0.10448 

#specificity / (1 - False Positive Rate)
specificity

 ctwas   TWAS 
1.0000 0.9715 

#precision / PPV / (1 - False Discovery Rate)
precision

 ctwas   TWAS 
1.0000 0.2333 

Past versions of unnamed-chunk-24-1.png

Version	Author	Date
4a5db1c	sq-96	2022-03-03

Past versions of unnamed-chunk-25-1.png

Version	Author	Date
4a5db1c	sq-96	2022-03-03

pip_range <- (0:1000)/1000
sensitivity <- rep(NA, length(pip_range))
specificity <- rep(NA, length(pip_range))

for (index in 1:length(pip_range)){
  pip <- pip_range[index]
  ctwas_genes <- ctwas_gene_res_subset$genename[ctwas_gene_res_subset$susie_pip>=pip]
  sensitivity[index] <- sum(ctwas_genes %in% known_annotations)/length(known_annotations)
  specificity[index] <- sum(!(unrelated_genes %in% ctwas_genes))/length(unrelated_genes)
}

plot(1-specificity, sensitivity, type="l", xlim=c(0,1), ylim=c(0,1), main="", xlab="1 - Specificity", ylab="Sensitivity")
title(expression("ROC Curve for cTWAS (black) and TWAS (" * phantom("red") * ")"))
title(expression(phantom("ROC Curve for cTWAS (black) and TWAS (") * "red" * phantom(")")), col.main="red")

sig_thresh_range <- seq(from=0, to=max(abs(ctwas_gene_res_subset$z)), length.out=length(pip_range))

for (index in 1:length(sig_thresh_range)){
  sig_thresh_plot <- sig_thresh_range[index]
  twas_genes <- ctwas_gene_res_subset$genename[abs(ctwas_gene_res_subset$z)>=sig_thresh_plot]
  sensitivity[index] <- sum(twas_genes %in% known_annotations)/length(known_annotations)
  specificity[index] <- sum(!(unrelated_genes %in% twas_genes))/length(unrelated_genes)
}

lines(1-specificity, sensitivity, xlim=c(0,1), ylim=c(0,1), col="red", lty=1)

abline(a=0,b=1,lty=3)

#add previously computed points from the analysis
ctwas_genes <- ctwas_gene_res_subset$genename[ctwas_gene_res_subset$susie_pip>0.8]
twas_genes <- ctwas_gene_res_subset$genename[abs(ctwas_gene_res_subset$z)>sig_thresh]

points(1-specificity_plot["ctwas"], sensitivity_plot["ctwas"], pch=21, bg="black")
points(1-specificity_plot["TWAS"], sensitivity_plot["TWAS"], pch=21, bg="red")

Past versions of unnamed-chunk-26-1.png

Version	Author	Date
4a5db1c	sq-96	2022-03-03

Undetected silver standard genes have low TWAS z-scores or stronger signal from nearby variants

#table of outcomes for silver standard genes
-sort(-table(silver_standard_case))

silver_standard_case
          Not Imputed Insignificant z-score         Nearby SNP(s) 
                   63                    60                     6 
 Detected (PIP > 0.8) 
                    1 

#show inconclusive genes
silver_standard_case[silver_standard_case=="Inconclusive"]

named character(0)

Past versions of unnamed-chunk-30-1.png

Version	Author	Date
4a5db1c	sq-96	2022-03-03

Session information

sessionInfo()

R version 3.6.1 (2019-07-05)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: Scientific Linux 7.4 (Nitrogen)

Matrix products: default
BLAS/LAPACK: /software/openblas-0.2.19-el7-x86_64/lib/libopenblas_haswellp-r0.2.19.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] readxl_1.3.1      forcats_0.5.1     stringr_1.4.0     dplyr_1.0.7      
 [5] purrr_0.3.4       readr_2.1.1       tidyr_1.1.4       tidyverse_1.3.1  
 [9] tibble_3.1.6      WebGestaltR_0.4.4 disgenet2r_0.99.2 enrichR_3.0      
[13] cowplot_1.0.0     ggplot2_3.3.5     workflowr_1.7.0  

loaded via a namespace (and not attached):
 [1] fs_1.5.2          lubridate_1.8.0   bit64_4.0.5       doParallel_1.0.17
 [5] httr_1.4.2        rprojroot_2.0.2   tools_3.6.1       backports_1.4.1  
 [9] doRNG_1.8.2       utf8_1.2.2        R6_2.5.1          vipor_0.4.5      
[13] DBI_1.1.2         colorspace_2.0-2  withr_2.4.3       ggrastr_1.0.1    
[17] tidyselect_1.1.1  processx_3.5.2    bit_4.0.4         curl_4.3.2       
[21] compiler_3.6.1    git2r_0.26.1      rvest_1.0.2       cli_3.1.0        
[25] Cairo_1.5-12.2    xml2_1.3.3        labeling_0.4.2    scales_1.1.1     
[29] callr_3.7.0       apcluster_1.4.8   digest_0.6.29     rmarkdown_2.11   
[33] svglite_1.2.2     pkgconfig_2.0.3   htmltools_0.5.2   dbplyr_2.1.1     
[37] fastmap_1.1.0     highr_0.9         rlang_1.0.1       rstudioapi_0.13  
[41] RSQLite_2.2.8     jquerylib_0.1.4   farver_2.1.0      generics_0.1.1   
[45] jsonlite_1.7.2    vroom_1.5.7       magrittr_2.0.2    Matrix_1.2-18    
[49] ggbeeswarm_0.6.0  Rcpp_1.0.8        munsell_0.5.0     fansi_1.0.2      
[53] gdtools_0.1.9     lifecycle_1.0.1   stringi_1.7.6     whisker_0.3-2    
[57] yaml_2.2.1        plyr_1.8.6        grid_3.6.1        blob_1.2.2       
[61] ggrepel_0.9.1     parallel_3.6.1    promises_1.0.1    crayon_1.5.0     
[65] lattice_0.20-38   haven_2.4.3       hms_1.1.1         knitr_1.36       
[69] ps_1.6.0          pillar_1.6.4      igraph_1.2.10     rjson_0.2.20     
[73] rngtools_1.5.2    reshape2_1.4.4    codetools_0.2-16  reprex_2.0.1     
[77] glue_1.6.2        evaluate_0.14     getPass_0.2-2     modelr_0.1.8     
[81] data.table_1.14.2 vctrs_0.3.8       tzdb_0.2.0        httpuv_1.5.1     
[85] foreach_1.5.2     cellranger_1.1.0  gtable_0.3.0      assertthat_0.2.1 
[89] cachem_1.0.6      xfun_0.29         broom_0.7.10      later_0.8.0      
[93] iterators_1.0.14  beeswarm_0.2.3    memoise_2.0.1     ellipsis_0.3.2