Last updated: 2024-02-08

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Knit directory: multigroup_ctwas_analysis/

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A simulation of seven correlated tissues is conducted to evaluate cTWAS performance (parameter estimation, PIP calibration …). Seven tissues used in this simulation are Artery Aorta, Spleen, Skin (not sun exposed suprapubic), Lung, Adipose Subcutaneous, Pancreas, Heart Artial Appendage. Pairwise correlation of gene expression are with 0.6-0.8. The first three tissues are set to be causal and the other four tissues are non-causal.

         Adipose Lung Artery Heart  Skin Spleen Pancreas
Adipose        1  0.8  0.784 0.733 0.695  0.715    0.692
Lung          NA  1.0  0.738 0.714 0.698  0.777    0.697
Artery        NA   NA  1.000 0.740 0.636  0.674    0.676
Heart         NA   NA     NA 1.000 0.618  0.630    0.662
Skin          NA   NA     NA    NA 1.000  0.634    0.664
Spleen        NA   NA     NA    NA    NA  1.000    0.691
Pancreas      NA   NA     NA    NA    NA     NA    1.000

It current has two settings:

  • 3% PVE, 0.9% \(\pi\) for causal tissues, 0.5% PVE, 0.15% \(\pi\) for non-causal tissues and 30% PVE, 2.5e-4 \(\pi\) for SNP.
  • 3% PVE, 0.9% \(\pi\) for causal tissues, 0% PVE, 0% \(\pi\) for non-causal tissues and 30% PVE, 2.5e-4 \(\pi\) for SNP.

We observed that cTWAS always tend to overestimate PVE of non-causal tissues because parameters won’t be shrunk exactly to 0. Therefore, we assign non-zero (but very low) PVE to non-causal tissues (the first setting) to check if it helps simulation results.

Conclusion: It seems that for tissues with moderate correlation (0.6-0.8), Assigning non-zero (but very low) PVE to non-causal tissues does not outperform zero PVE case (the second simulation). cTWAS estimates parameters more accurately in the second simulation (estimated PVE very close to 0) and has lower false positive rates in the PIP calibration plot.

Simulation 1: 3% PVE for Causal Tissues and 0.5% PVE for Non-causal Tissues.

Shared Prior Variance Parameters

Results using PIP Threshold

  simutag n_causal n_detected_pip n_detected_pip_in_causal
1     1-1      313             39                       33
2     1-2      350             34                       27
3     1-3      324             29                       27
4     1-4      323             16                       15
5     1-5      303             33                       28
[1] 0.8609272

Results using Combined PIP Threshold

  simutag n_causal_combined n_detected_comb_pip n_detected_comb_pip_in_causal
1     1-1               312                  78                            70
2     1-2               345                  88                            77
3     1-3               323                  60                            58
4     1-4               320                  59                            56
5     1-5               302                  55                            51
[1] 0.9176471

Estimated Prior Inclusion Probability

Version Author Date
85b8a1a sq-96 2024-01-16
932e682 sq-96 2024-01-15
4d024a0 sq-96 2024-01-03
690e29e sq-96 2024-01-03
0a32579 sq-96 2023-12-30

Estimated PVE

Version Author Date
85b8a1a sq-96 2024-01-16
932e682 sq-96 2024-01-15
2f6c0dd sq-96 2023-12-30
0a32579 sq-96 2023-12-30

Estimated Prior Variance

Version Author Date
445a9b5 sq-96 2024-01-18
85b8a1a sq-96 2024-01-16

Estimated Enrichment

Version Author Date
445a9b5 sq-96 2024-01-18

PIP Calibration Plot

Version Author Date
55ada4e sq-96 2024-01-18
445a9b5 sq-96 2024-01-18
206ef7b sq-96 2024-01-16

Separate effect size parameters

Results using PIP Threshold

  simutag n_causal n_detected_pip n_detected_pip_in_causal
1     1-1      313             39                       33
2     1-2      350             35                       27
3     1-3      324             33                       29
4     1-4      323             15                       15
5     1-5      303             37                       30
[1] 0.8427673

Results using Combined PIP Threshold

  simutag n_causal_combined n_detected_comb_pip n_detected_comb_pip_in_causal
1     1-1               312                  76                            68
2     1-2               345                  88                            76
3     1-3               323                  62                            59
4     1-4               320                  56                            53
5     1-5               302                  54                            50
[1] 0.9107143

Estimated Prior Inclusion Probability

Version Author Date
445a9b5 sq-96 2024-01-18
85b8a1a sq-96 2024-01-16

Estimated PVE

Version Author Date
445a9b5 sq-96 2024-01-18
206ef7b sq-96 2024-01-16

Estimated Prior Variance

Version Author Date
445a9b5 sq-96 2024-01-18
206ef7b sq-96 2024-01-16

Estimated Enrichment

Version Author Date
445a9b5 sq-96 2024-01-18
206ef7b sq-96 2024-01-16
932e682 sq-96 2024-01-15

PIP Calibration Plot

Version Author Date
55ada4e sq-96 2024-01-18
445a9b5 sq-96 2024-01-18
85b8a1a sq-96 2024-01-16
932e682 sq-96 2024-01-15

Simulation 2: 3% PVE for Causal Tissues and 0% PVE for Non-causal Tissues.

Shared Prior Variance Parameters

Results using PIP Threshold

  simutag n_causal n_detected_pip n_detected_pip_in_causal
1     2-1      251             36                       33
2     2-2      275             27                       23
3     2-3      262             20                       18
4     2-4      248             35                       27
5     2-5      258             26                       24
[1] 0.8680556

Results using Combined PIP Threshold

  simutag n_causal_combined n_detected_comb_pip n_detected_comb_pip_in_causal
1     2-1               250                  66                            58
2     2-2               274                  51                            44
3     2-3               261                  50                            44
4     2-4               246                  51                            39
5     2-5               255                  43                            40
[1] 0.862069

Estimated Prior Inclusion Probability

Version Author Date
445a9b5 sq-96 2024-01-18
206ef7b sq-96 2024-01-16

Estimated PVE

Version Author Date
445a9b5 sq-96 2024-01-18
932e682 sq-96 2024-01-15

Estimated Prior Variance

Version Author Date
55ada4e sq-96 2024-01-18
445a9b5 sq-96 2024-01-18
85b8a1a sq-96 2024-01-16
932e682 sq-96 2024-01-15

Estimated Enrichment

Version Author Date
445a9b5 sq-96 2024-01-18
85b8a1a sq-96 2024-01-16
932e682 sq-96 2024-01-15

PIP Calibration Plot

Version Author Date
55ada4e sq-96 2024-01-18
445a9b5 sq-96 2024-01-18
85b8a1a sq-96 2024-01-16

PIP Calibration Plot (cs_index!=0)

Version Author Date
4f928d2 sq-96 2024-01-27
2251fce sq-96 2024-01-20

PIP Calibration Plot (L1=1)

Version Author Date
4f928d2 sq-96 2024-01-27
a261308 sq-96 2024-01-23

PIP Calibration Plot (True parameters)

Version Author Date
4f928d2 sq-96 2024-01-27

PIP Calibration Plot (True parameters and cs_index!=0)

Version Author Date
445a9b5 sq-96 2024-01-18

Separate effect size parameters

Results using PIP Threshold

  simutag n_causal n_detected_pip n_detected_pip_in_causal
1     2-1      251             35                       32
2     2-2      275             27                       23
3     2-3      262             20                       18
4     2-4      248             35                       26
5     2-5      258             24                       22
[1] 0.858156

Results using Combined PIP Threshold

  simutag n_causal_combined n_detected_comb_pip n_detected_comb_pip_in_causal
1     2-1               250                  63                            56
2     2-2               274                  50                            43
3     2-3               261                  48                            41
4     2-4               246                  51                            39
5     2-5               255                  41                            39
[1] 0.8616601

Estimated Prior Inclusion Probability

Version Author Date
4f928d2 sq-96 2024-01-27
a261308 sq-96 2024-01-23
2251fce sq-96 2024-01-20
55ada4e sq-96 2024-01-18
445a9b5 sq-96 2024-01-18

Estimated Prior Variance

Version Author Date
4f928d2 sq-96 2024-01-27
a261308 sq-96 2024-01-23
2251fce sq-96 2024-01-20

Estimated Enrichment

Version Author Date
4f928d2 sq-96 2024-01-27
a261308 sq-96 2024-01-23

Estimated PVE

Version Author Date
4f928d2 sq-96 2024-01-27

PIP Calibration Plot


sessionInfo()
R version 4.1.0 (2021-05-18)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: CentOS Linux 7 (Core)

Matrix products: default
BLAS/LAPACK: /software/openblas-0.3.13-el7-x86_64/lib/libopenblas_haswellp-r0.3.13.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] dplyr_1.0.10      plyr_1.8.8        ggpubr_0.6.0      plotrix_3.8-4    
 [5] cowplot_1.1.1     ggplot2_3.4.0     latex2exp_0.9.6   data.table_1.14.6
 [9] ctwas_0.1.40      workflowr_1.7.0  

loaded via a namespace (and not attached):
 [1] Rcpp_1.0.9       lattice_0.20-44  tidyr_1.3.0      getPass_0.2-2   
 [5] ps_1.7.2         assertthat_0.2.1 rprojroot_2.0.3  digest_0.6.31   
 [9] foreach_1.5.2    utf8_1.2.2       R6_2.5.1         backports_1.2.1 
[13] evaluate_0.19    highr_0.9        httr_1.4.4       pillar_1.8.1    
[17] rlang_1.1.1      rstudioapi_0.14  car_3.1-1        whisker_0.4.1   
[21] callr_3.7.3      jquerylib_0.1.4  Matrix_1.3-3     rmarkdown_2.19  
[25] labeling_0.4.2   stringr_1.5.0    munsell_0.5.0    broom_1.0.2     
[29] compiler_4.1.0   httpuv_1.6.7     xfun_0.35        pkgconfig_2.0.3 
[33] htmltools_0.5.4  tidyselect_1.2.0 gridExtra_2.3    tibble_3.1.8    
[37] logging_0.10-108 codetools_0.2-18 fansi_1.0.3      withr_2.5.0     
[41] later_1.3.0      grid_4.1.0       jsonlite_1.8.4   gtable_0.3.1    
[45] lifecycle_1.0.3  DBI_1.1.3        git2r_0.30.1     magrittr_2.0.3  
[49] scales_1.2.1     carData_3.0-4    cli_3.6.1        stringi_1.7.8   
[53] cachem_1.0.6     farver_2.1.0     ggsignif_0.6.4   fs_1.5.2        
[57] promises_1.2.0.1 pgenlibr_0.3.2   bslib_0.4.1      vctrs_0.6.3     
[61] generics_0.1.3   iterators_1.0.14 tools_4.1.0      glue_1.6.2      
[65] purrr_1.0.2      abind_1.4-5      processx_3.8.0   fastmap_1.1.0   
[69] yaml_2.3.6       colorspace_2.0-3 rstatix_0.7.2    knitr_1.41      
[73] sass_0.4.4