Last updated: 2021-07-26

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Knit directory: LD_Analysis/

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Objective

Comparing eigenvalues and eigenvectors of LD matrices calcualted with different subsamples.

Method

Data is from 1000 Genome EUR ancestry (~500 individuals). Samples are randomly splitted into 3 subsets, each has 160 individuals. Using PLINL to alculate LD matrices with variants (MAF > 0.05) in three SCZ loci.

Result

chr15 91416560-91429040

The first ten eigenvalues

           [,1]   [,2]  [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
EUR_sub1 14.507 10.845 0.885 0.744 0.458 0.190 0.135 0.061 0.054 0.037
EUR_sub2 14.503 11.196 0.862 0.605 0.419 0.173 0.082 0.054 0.048 0.015
EUR_sub3 13.488 11.461 1.059 0.815 0.572 0.187 0.130 0.084 0.073 0.058
EUR_All  14.084 11.226 0.874 0.792 0.482 0.188 0.088 0.067 0.055 0.036

Pairwise correlation of the ith eigenvectors

              [,1]  [,2]   [,3]   [,4]   [,5]  [,6]   [,7]   [,8]   [,9]  [,10]
sub1.vs.sub2 0.990 0.998  0.965  0.961 -0.940 0.947 -0.528  0.379 -0.365 -0.021
sub1.vs.sub3 0.864 0.956 -0.051 -0.216 -0.972 0.868 -0.106  0.137  0.347  0.161
sub2.vs.sub3 0.925 0.972 -0.167 -0.395  0.910 0.912  0.085 -0.503 -0.575  0.004
sub1.vs.All  0.980 0.996 -0.937 -0.905  0.991 0.969  0.904 -0.769 -0.687  0.219
sub2.vs.All  0.998 0.999 -0.958 -0.955 -0.968 0.980 -0.797 -0.698  0.637 -0.131
sub3.vs.All  0.948 0.979  0.389  0.590 -0.977 0.953 -0.206 -0.019 -0.576  0.536

Pairwise correlation between two sets of eigenvectors

Version Author Date
f5ec7d8 sq-96 2021-07-26

Heatmap of LD matrix

Version Author Date
f5ec7d8 sq-96 2021-07-26

chr8 4177794-4192544

The first ten eigenvalues

           [,1]   [,2]   [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
EUR_sub1 38.418 29.334 17.410 3.603 2.218 1.479 1.220 1.083 0.939 0.712
EUR_sub2 41.208 27.896 16.586 3.776 2.082 1.514 1.252 1.136 0.987 0.587
EUR_sub3 43.011 28.383 15.097 3.686 2.217 1.173 1.091 0.962 0.817 0.706
EUR_All  40.807 28.743 16.199 3.586 2.177 1.282 1.074 1.032 0.996 0.687

Pairwise correlation of the ith eigenvectors

              [,1]   [,2]  [,3]   [,4]   [,5]  [,6]   [,7]   [,8]   [,9]  [,10]
sub1.vs.sub2 0.481 -0.815 0.860 -0.952  0.823 0.087  0.021 -0.543  0.517 -0.325
sub1.vs.sub3 0.996 -0.989 0.984  0.920 -0.872 0.477  0.308 -0.690  0.012  0.482
sub2.vs.sub3 0.518  0.769 0.890 -0.835 -0.778 0.735  0.226  0.197 -0.378 -0.321
sub1.vs.All  0.997 -0.996 0.995 -0.992  0.953 0.515 -0.159  0.089  0.298  0.760
sub2.vs.All  0.450  0.842 0.884  0.968  0.927 0.784  0.344  0.491  0.627 -0.101
sub3.vs.All  0.991  0.990 0.995 -0.933 -0.928 0.901  0.718 -0.378 -0.571  0.457

Pairwise correlation between two sets of eigenvectors

Version Author Date
f5ec7d8 sq-96 2021-07-26

Heatmap of LD matrix

chr10 18681005-18770105

The first ten eigenvalues

           [,1]   [,2]   [,3]   [,4]   [,5]   [,6]  [,7]  [,8]  [,9] [,10]
EUR_sub1 85.111 63.778 53.515 26.972 11.070  8.549 7.872 3.639 3.398 3.001
EUR_sub2 80.116 68.940 47.786 29.973 11.169 10.196 7.929 4.504 3.271 2.721
EUR_sub3 85.548 69.447 53.013 28.336  8.967  8.474 5.279 3.999 3.307 2.724
EUR_All  81.628 67.213 52.643 28.061 10.654  9.106 6.961 3.648 3.072 3.037

Pairwise correlation of the ith eigenvectors

               [,1]  [,2]  [,3]   [,4]   [,5]   [,6]   [,7]   [,8]   [,9]
sub1.vs.sub2 -0.833 0.618 0.819 -0.934 -0.266 -0.054 -0.424 -0.384 -0.717
sub1.vs.sub3  0.912 0.865 0.917  0.921  0.837 -0.557 -0.256  0.150 -0.652
sub2.vs.sub3 -0.736 0.708 0.844 -0.871 -0.057  0.185  0.875  0.498  0.496
sub1.vs.All   0.970 0.868 0.932  0.972  0.970 -0.636 -0.494  0.496  0.479
sub2.vs.All  -0.860 0.836 0.953 -0.965 -0.216  0.214  0.980 -0.869 -0.663
sub3.vs.All   0.956 0.929 0.954  0.953  0.902  0.906  0.871 -0.281 -0.023
              [,10]
sub1.vs.sub2  0.404
sub1.vs.sub3 -0.153
sub2.vs.sub3  0.379
sub1.vs.All  -0.114
sub2.vs.All   0.378
sub3.vs.All  -0.082

Pairwise correlation between two sets of eigenvectors

Version Author Date
f5ec7d8 sq-96 2021-07-26

sessionInfo()
R version 4.0.4 (2021-02-15)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: Scientific Linux 7.4 (Nitrogen)

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] RColorBrewer_1.1-2 plot.matrix_1.6    workflowr_1.6.2   

loaded via a namespace (and not attached):
 [1] Rcpp_1.0.6        whisker_0.4       knitr_1.33        magrittr_2.0.1   
 [5] R6_2.5.0          rlang_0.4.11      fansi_0.5.0       highr_0.9        
 [9] stringr_1.4.0     tools_4.0.4       xfun_0.24         utf8_1.2.1       
[13] git2r_0.28.0      jquerylib_0.1.4   htmltools_0.5.1.1 ellipsis_0.3.2   
[17] rprojroot_2.0.2   yaml_2.2.1        digest_0.6.27     tibble_3.1.2     
[21] lifecycle_1.0.0   crayon_1.4.1      later_1.2.0       sass_0.4.0       
[25] vctrs_0.3.8       promises_1.2.0.1  fs_1.5.0          glue_1.4.2       
[29] evaluate_0.14     rmarkdown_2.9     stringi_1.6.2     bslib_0.2.5.1    
[33] compiler_4.0.4    pillar_1.6.1      jsonlite_1.7.2    httpuv_1.6.1     
[37] pkgconfig_2.0.3