date generated: 2021-03-25
Mitch performs unidimensional and multidimensional gene set enrichment analysis. The concept behind this dates to work by Cox and Mann (https://doi.org/10.1186/1471-2105-13-S16-S12). This implementation is suited to R based workflows of multi-omics datasets. This software was developed by Antony Kaspi and Mark Ziemann. Learn more about Mitch at the website: https://github.com/markziemann/Mitch
Here is the first few lines of the input profile.
## del3 del5 der3 der5
## 1MMP -2.1945558 -0.2573510 -0.06107556 -0.06943941
## 2-Cys 1.6562904 2.8083698 0.73109293 1.11074220
## 2A6 1.7809241 2.9365255 2.58510884 0.87763168
## 2MMP -4.3494649 -10.4988977 -2.37940783 -6.21455109
## 3AT1 -0.6118777 1.3787620 -0.29989906 0.03357734
## 3BETAHSD/D1 0.9976927 0.3206492 2.11566572 2.94991600
Here are some metrics about the input data profile:
| Profile metrics | |
|---|---|
| num_genes_in_profile | 19846 |
| duplicated_genes_present | 0 |
| num_profile_genes_in_sets | 143 |
| num_profile_genes_not_in_sets | 19703 |
Here is a plot of the input profiles. Note the dynamic ranges.
Here is the contour plot of the profile including all detected genes.
| Gene sets metrics | |
|---|---|
| num_genesets | 4 |
| num_genesets_excluded | 0 |
| num_genesets_included | 4 |
| del3 | del5 | der3 | der5 | Count | |
|---|---|---|---|---|---|
| 1 | -1 | -1 | -1 | -1 | 3244 |
| 2 | 1 | -1 | -1 | -1 | 870 |
| 3 | -1 | 1 | -1 | -1 | 1413 |
| 4 | 1 | 1 | -1 | -1 | 1058 |
| 5 | -1 | -1 | 1 | -1 | 1028 |
| 6 | 1 | -1 | 1 | -1 | 515 |
| 7 | 1 | 0 | 1 | -1 | 1 |
| 8 | -1 | 1 | 1 | -1 | 728 |
| 9 | 0 | 1 | 1 | -1 | 1 |
| 10 | 1 | 1 | 1 | -1 | 813 |
| 11 | -1 | -1 | 1 | 0 | 1 |
| 12 | -1 | -1 | -1 | 1 | 1036 |
| 13 | 1 | -1 | -1 | 1 | 1006 |
| 14 | -1 | 1 | -1 | 1 | 674 |
| 15 | 1 | 1 | -1 | 1 | 1347 |
| 16 | -1 | -1 | 0 | 1 | 1 |
| 17 | -1 | -1 | 1 | 1 | 993 |
| 18 | 1 | -1 | 1 | 1 | 1283 |
| 19 | -1 | 1 | 1 | 1 | 863 |
| 20 | 1 | 1 | 1 | 1 | 2971 |
| s.del3 | s.del5 | s.der3 | s.der5 | Count | |
|---|---|---|---|---|---|
| 1 | -1 | 1 | -1 | -1 | 1 |
| 2 | -1 | 1 | 1 | -1 | 1 |
| 3 | 1 | 1 | 1 | -1 | 1 |
| 4 | -1 | -1 | 1 | 1 | 1 |
All sets with FDR<0.05. Try hovering over the points.
Top N sets irrespective of FDR. Try hovering over the points.
Significance is the -log2(p.adjustMANOVA) and effect size is the s.dist which is the hypotenuse of the s scores.
| set | setSize | pMANOVA | p.adjustMANOVA | s.dist | s.del3 | s.del5 | s.der3 | s.der5 | p.del3 | p.del5 | p.der3 | p.der5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| REDOX DISMUTASES AND CATALASES | 11 | 6.73e-03 | 6.73e-03 | 0.561 | 0.2670 | 0.3830 | 0.0284 | -0.3080 | 0.1250 | 0.0277 | 0.87000 | 7.66e-02 |
| MISC GLUTATHIONE S TRANSFERASES | 49 | 5.57e-06 | 2.23e-05 | 0.442 | -0.0191 | 0.0802 | -0.1910 | -0.3900 | 0.8170 | 0.3310 | 0.02060 | 2.26e-06 |
| REDOX GLUTAREDOXINS | 28 | 4.81e-03 | 6.41e-03 | 0.326 | -0.1490 | 0.1000 | 0.2130 | -0.1690 | 0.1710 | 0.3590 | 0.05160 | 1.22e-01 |
| MISC PEROXIDASES | 55 | 9.57e-05 | 1.91e-04 | 0.321 | -0.1590 | -0.0030 | 0.2790 | 0.0165 | 0.0418 | 0.9690 | 0.00035 | 8.32e-01 |
| set | setSize | pMANOVA | p.adjustMANOVA | s.dist | s.del3 | s.del5 | s.der3 | s.der5 | p.del3 | p.del5 | p.der3 | p.der5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| REDOX DISMUTASES AND CATALASES | 11 | 6.73e-03 | 6.73e-03 | 0.561 | 0.2670 | 0.3830 | 0.0284 | -0.3080 | 0.1250 | 0.0277 | 0.87000 | 7.66e-02 |
| MISC GLUTATHIONE S TRANSFERASES | 49 | 5.57e-06 | 2.23e-05 | 0.442 | -0.0191 | 0.0802 | -0.1910 | -0.3900 | 0.8170 | 0.3310 | 0.02060 | 2.26e-06 |
| REDOX GLUTAREDOXINS | 28 | 4.81e-03 | 6.41e-03 | 0.326 | -0.1490 | 0.1000 | 0.2130 | -0.1690 | 0.1710 | 0.3590 | 0.05160 | 1.22e-01 |
| MISC PEROXIDASES | 55 | 9.57e-05 | 1.91e-04 | 0.321 | -0.1590 | -0.0030 | 0.2790 | 0.0165 | 0.0418 | 0.9690 | 0.00035 | 8.32e-01 |
REDOX_DISMUTASES_AND_CATALASES
| metric | value |
|---|---|
| setSize | 11 |
| pMANOVA | 0.00673 |
| p.adjustMANOVA | 0.00673 |
| s.dist | 0.561 |
| s.del3 | 0.267 |
| s.del5 | 0.383 |
| s.der3 | 0.0284 |
| s.der5 | -0.308 |
| p.del3 | 0.125 |
| p.del5 | 0.0277 |
| p.der3 | 0.87 |
| p.der5 | 0.0766 |
| Gene | del5 | der5 |
|---|---|---|
| MSD1 | 7064 | -7092 |
| CAT1 | 6670 | -7183 |
| FSD1 | 3273 | -8793 |
| CSD1 | 3378 | -7850 |
| FSD2 | 9196 | -2797 |
| FSD3 | 2576 | -5061 |
| del3 | del5 | der3 | der5 | |
|---|---|---|---|---|
| CAT1 | 8934 | 6670 | -6527 | -7183 |
| CAT2 | -8778 | -5571 | 1409 | -9321 |
| CAT3 | 9270 | 9789 | 8505 | 5140 |
| CCS | 8616 | 4946 | 8953 | 8679 |
| CSD1 | 4813 | 3378 | 6942 | -7850 |
| CSD2 | 6885 | 7242 | 6754 | 2279 |
| CSD3 | 2848 | -7354 | -3392 | 1128 |
| FSD1 | -5776 | 3273 | -9691 | -8793 |
| FSD2 | 9383 | 9196 | -8258 | -2797 |
| FSD3 | 497 | 2576 | -3484 | -5061 |
| MSD1 | -8179 | 7064 | -6089 | -7092 |
MISC_GLUTATHIONE_S_TRANSFERASES
| metric | value |
|---|---|
| setSize | 49 |
| pMANOVA | 5.57e-06 |
| p.adjustMANOVA | 2.23e-05 |
| s.dist | 0.442 |
| s.del3 | -0.0191 |
| s.del5 | 0.0802 |
| s.der3 | -0.191 |
| s.der5 | -0.39 |
| p.del3 | 0.817 |
| p.del5 | 0.331 |
| p.der3 | 0.0206 |
| p.der5 | 2.26e-06 |
| Gene | der5 | der3 |
|---|---|---|
| GSTU10 | -9625 | -10538 |
| GSTF7 | -9654 | -10490 |
| GSTU4 | -9278 | -10335 |
| GSTF2 | -9461 | -9865 |
| GSTU9 | -9462 | -9849 |
| GSTF3 | -9146 | -10077 |
| ATGSTZ1 | -8920 | -9921 |
| GSTU18 | -8596 | -9931 |
| GSTL1 | -9565 | -8726 |
| GSTU3 | -8316 | -9700 |
| GSTF6 | -9580 | -8299 |
| GSTL3 | -8187 | -9686 |
| GSTU5 | -8432 | -9003 |
| GSTU1 | -8649 | -8622 |
| AT1G65820 | -9375 | -7350 |
| GSTU13 | -8243 | -7706 |
| GSTU27 | -9003 | -6851 |
| GSTU19 | -8307 | -6033 |
| GSTU6 | -5638 | -8802 |
| GSTU24 | -6761 | -6617 |
| del3 | del5 | der3 | der5 | |
|---|---|---|---|---|
| AT1G65820 | -2238 | -4736 | -7350 | -9375 |
| AT4G19880 | 9060 | 9087 | 7370 | 7403 |
| AT5G44000 | -2848 | 4702 | 712 | -6781 |
| ATGSTF4 | -9587 | -3752 | -177 | -8822 |
| ATGSTZ1 | 8312 | 2168 | -9921 | -8920 |
| GSTF10 | -5867 | 1802 | 2931 | -6903 |
| GSTF11 | 9591 | 9841 | 7877 | 8156 |
| GSTF12 | 96 | 5834 | -4594 | 4265 |
| GSTF14 | -7603 | -5748 | 6866 | -508 |
| GSTF2 | 4208 | -1602 | -9865 | -9461 |
| GSTF3 | 4163 | -2118 | -10077 | -9146 |
| GSTF6 | 948 | 324 | -8299 | -9580 |
| GSTF7 | -6108 | -3332 | -10490 | -9654 |
| GSTF8 | 963 | 285 | 7979 | 9623 |
| GSTF9 | 8250 | 9616 | 5049 | -359 |
| GSTL1 | -8096 | -9764 | -8726 | -9565 |
| GSTL2 | 8003 | 6667 | 3813 | 1538 |
| GSTL3 | -9565 | -1859 | -9686 | -8187 |
| GSTT1 | 6718 | 6644 | 95 | -5105 |
| GSTT2 | 2809 | -7491 | -7687 | 2357 |
| GSTT3 | 2494 | -7272 | -428 | 5928 |
| GSTU1 | 8158 | 9425 | -8622 | -8649 |
| GSTU10 | 3641 | -7843 | -10538 | -9625 |
| GSTU11 | 7116 | 3573 | 2928 | -6383 |
| GSTU12 | -5593 | -60 | 6105 | -4913 |
| GSTU13 | 6517 | 7143 | -7706 | -8243 |
| GSTU14 | 3927 | 5944 | 5389 | 5334 |
| GSTU17 | -5467 | 2248 | 2951 | 1114 |
| GSTU18 | 384 | 6758 | -9931 | -8596 |
| GSTU19 | -7894 | 7384 | -6033 | -8307 |
| GSTU2 | 8882 | 44 | -6514 | -5210 |
| GSTU20 | 8926 | 9847 | 7398 | 9762 |
| GSTU22 | -6639 | -2331 | 7697 | 4887 |
| GSTU23 | -7431 | 1522 | -1359 | -5569 |
| GSTU24 | 3807 | 8750 | -6617 | -6761 |
| GSTU25 | -9949 | -8720 | 2641 | 6076 |
| GSTU26 | -8809 | -2322 | -5153 | -7774 |
| GSTU27 | -5996 | -2337 | -6851 | -9003 |
| GSTU28 | -1809 | 5001 | 6189 | 7003 |
| GSTU3 | 8115 | -1190 | -9700 | -8316 |
| GSTU4 | 1925 | 3608 | -10335 | -9278 |
| GSTU5 | -5318 | 2818 | -9003 | -8432 |
| GSTU6 | -1954 | -2286 | -8802 | -5638 |
| GSTU7 | 1618 | 8492 | -4554 | -5605 |
| GSTU8 | -9326 | -9239 | 820 | -3741 |
| GSTU9 | -9855 | -6311 | -9849 | -9462 |
| GSTZ2 | 7439 | -4008 | -7058 | 1243 |
| PER4 | -8140 | -734 | 9050 | -4250 |
| TCHQD | -2105 | -8237 | -6239 | -5590 |
REDOX_GLUTAREDOXINS
| metric | value |
|---|---|
| setSize | 28 |
| pMANOVA | 0.00481 |
| p.adjustMANOVA | 0.00641 |
| s.dist | 0.326 |
| s.del3 | -0.149 |
| s.del5 | 0.1 |
| s.der3 | 0.213 |
| s.der5 | -0.169 |
| p.del3 | 0.171 |
| p.del5 | 0.359 |
| p.der3 | 0.0516 |
| p.der5 | 0.122 |
| Gene | der3 | der5 |
|---|---|---|
| GRXS9 | 8866 | -6192 |
| GRXS11 | 8374 | -5362 |
| AT5G13810 | 8782 | -4631 |
| AT3G28850 | 6174 | -6552 |
| AT2G20270 | 552 | -8112 |
| GRXS1 | 6007 | -306 |
| del3 | del5 | der3 | der5 | |
|---|---|---|---|---|
| AT1G03850 | -6017 | -1740 | 6694 | 218 |
| AT1G32760 | 524 | 3790 | -3723 | -2773 |
| AT1G64500 | -7958 | 3058 | -6685 | -3126 |
| AT1G77370 | 258 | -1847 | -2850 | -6576 |
| AT2G20270 | -7072 | 4280 | 552 | -8112 |
| AT2G41330 | 3480 | 4370 | 4053 | 3074 |
| AT3G28850 | 1657 | -2924 | 6174 | -6552 |
| AT3G57070 | 4967 | 4978 | 3125 | 344 |
| AT4G10630 | -2298 | 6279 | -1160 | 221 |
| AT5G01420 | -571 | -3586 | 1108 | 747 |
| AT5G03870 | -3381 | 3718 | -3241 | 7308 |
| AT5G06470 | -9159 | -4960 | -9040 | -8038 |
| AT5G13810 | 642 | 6100 | 8782 | -4631 |
| AT5G39865 | 6147 | 5866 | 5620 | 6000 |
| AT5G40370 | -7759 | -1777 | -10108 | -8735 |
| AT5G58530 | -7329 | -3705 | 6841 | 6336 |
| GRXC1 | -9317 | -8469 | -7478 | -8739 |
| GRXC10 | -2434 | 6586 | 7723 | 7883 |
| GRXC14 | 9614 | 9658 | 8851 | 9433 |
| GRXC4 | -3570 | 429 | -2900 | -6914 |
| GRXC5 | 923 | 4007 | -1522 | -3630 |
| GRXC6 | -4846 | 3862 | 1380 | 841 |
| GRXC9 | -7893 | -3858 | -334 | -7088 |
| GRXS1 | -5735 | -8068 | 6007 | -306 |
| GRXS11 | 8915 | 8770 | 8374 | -5362 |
| GRXS15 | 2384 | -7900 | -4207 | -3643 |
| GRXS6 | -1416 | -2669 | 7761 | 8208 |
| GRXS9 | 4168 | 2017 | 8866 | -6192 |
MISC_PEROXIDASES
| metric | value |
|---|---|
| setSize | 55 |
| pMANOVA | 9.57e-05 |
| p.adjustMANOVA | 0.000191 |
| s.dist | 0.321 |
| s.del3 | -0.159 |
| s.del5 | -0.003 |
| s.der3 | 0.279 |
| s.der5 | 0.0165 |
| p.del3 | 0.0418 |
| p.del5 | 0.969 |
| p.der3 | 0.00035 |
| p.der5 | 0.832 |
| Gene | der3 | del3 |
|---|---|---|
| AT5G14130 | 9126 | -9550 |
| PER20 | 7751 | -9096 |
| PER39 | 8513 | -7355 |
| AT4G26010 | 8923 | -5771 |
| PER62 | 7621 | -5806 |
| PER7 | 6814 | -6216 |
| PER35 | 4298 | -9207 |
| AT5G17820 | 8713 | -4379 |
| PER59 | 4098 | -8296 |
| PER10 | 8575 | -3812 |
| PER11 | 3290 | -9230 |
| PER9 | 4051 | -6251 |
| PER64 | 6121 | -4092 |
| PER71 | 8957 | -2721 |
| PER17 | 3849 | -5498 |
| PER72 | 3024 | -6523 |
| PER56 | 4255 | -3266 |
| PER69 | 8870 | -1492 |
| PER73 | 8721 | -1051 |
| PER8 | 4837 | -1845 |
| del3 | del5 | der3 | der5 | |
|---|---|---|---|---|
| APX6 | -3040 | -6228 | -4738 | 839 |
| AT4G26010 | -5771 | 2535 | 8923 | 7616 |
| AT4G33420 | -49 | -3288 | -10241 | -9590 |
| AT5G14130 | -9550 | -7444 | 9126 | 7914 |
| AT5G17820 | -4379 | 4737 | 8713 | 5345 |
| PER10 | -3812 | 3347 | 8575 | 3015 |
| PER11 | -9230 | -9931 | 3290 | -7904 |
| PER12 | 4541 | 1599 | 6519 | 5161 |
| PER15 | -5003 | -5936 | -9187 | -9372 |
| PER16 | 3187 | 6403 | 7257 | 9667 |
| PER17 | -5498 | -6361 | 3849 | -4504 |
| PER19 | 4718 | 4008 | 5175 | 9018 |
| PER2 | 1337 | 4960 | 9106 | 9996 |
| PER20 | -9096 | -8725 | 7751 | -1195 |
| PER21 | -6049 | -3545 | -8581 | 1611 |
| PER22 | -2283 | -7557 | -240 | -9478 |
| PER23 | 9094 | 7485 | 9155 | 9686 |
| PER25 | -9323 | -8948 | -10167 | -8725 |
| PER27 | 4301 | 6454 | 9168 | 10121 |
| PER28 | -9013 | -8107 | -9624 | -9132 |
| PER30 | 588 | 8156 | 8201 | -2498 |
| PER31 | 490 | -1375 | 1990 | 1921 |
| PER32 | 2743 | 3213 | 8354 | 3596 |
| PER34 | 4683 | -3724 | -10522 | -9665 |
| PER35 | -9207 | -1072 | 4298 | 3425 |
| PER37 | 424 | 3260 | 8273 | 4691 |
| PER38 | -3590 | -7155 | -9674 | -1673 |
| PER39 | -7355 | 6197 | 8513 | 9165 |
| PER40 | 8249 | 4518 | -5113 | -2204 |
| PER42 | 8370 | 9802 | 8737 | 7857 |
| PER43 | 5150 | -3243 | 3434 | 3153 |
| PER45 | -6025 | -452 | -211 | 1989 |
| PER49 | -1376 | -5201 | 2652 | -9148 |
| PER50 | 6296 | 5594 | 9082 | 9951 |
| PER51 | 8467 | 3515 | 7900 | 9043 |
| PER52 | -6456 | -5826 | -4915 | -9512 |
| PER53 | 3679 | -1569 | -2028 | -8548 |
| PER54 | -6490 | -9122 | -10583 | -9603 |
| PER56 | -3266 | 3005 | 4255 | 981 |
| PER58 | 8295 | -1795 | -9629 | -7977 |
| PER59 | -8296 | 794 | 4098 | -966 |
| PER62 | -5806 | -20 | 7621 | -1735 |
| PER63 | 5743 | 6413 | 7676 | 7878 |
| PER64 | -4092 | 3332 | 6121 | 6102 |
| PER65 | -7782 | -9637 | -9498 | -7892 |
| PER66 | 1138 | 4139 | -6091 | -8431 |
| PER67 | 198 | 1078 | -8850 | 66 |
| PER69 | -1492 | 5890 | 8870 | 6640 |
| PER7 | -6216 | 3613 | 6814 | -1010 |
| PER70 | -3340 | -2333 | -1406 | -2818 |
| PER71 | -2721 | 4833 | 8957 | 8767 |
| PER72 | -6523 | -991 | 3024 | -1457 |
| PER73 | -1051 | 2609 | 8721 | 8907 |
| PER8 | -1845 | 1767 | 4837 | -6790 |
| PER9 | -6251 | 1701 | 4051 | 514 |
Here is the session info with all the versions of packages used.
sessionInfo()
## R version 4.0.3 (2020-10-10)
## Platform: x86_64-pc-linux-gnu (64-bit)
## Running under: Ubuntu 20.04.2 LTS
##
## Matrix products: default
## BLAS: /usr/lib/x86_64-linux-gnu/blas/libblas.so.3.9.0
## LAPACK: /usr/lib/x86_64-linux-gnu/lapack/liblapack.so.3.9.0
##
## 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] parallel stats4 stats graphics grDevices utils datasets
## [8] methods base
##
## other attached packages:
## [1] pkgload_1.2.0 GGally_2.1.1
## [3] ggplot2_3.3.3 beeswarm_0.3.1
## [5] gtools_3.8.2 tibble_3.1.0
## [7] dplyr_1.0.5 echarts4r_0.4.0
## [9] vioplot_0.3.5 zoo_1.8-9
## [11] sm_2.2-5.6 UpSetR_1.4.0
## [13] eulerr_6.1.0 kableExtra_1.3.4
## [15] mitch_1.2.2 DESeq2_1.30.0
## [17] SummarizedExperiment_1.20.0 Biobase_2.50.0
## [19] MatrixGenerics_1.2.0 matrixStats_0.58.0
## [21] GenomicRanges_1.42.0 GenomeInfoDb_1.26.0
## [23] IRanges_2.24.0 S4Vectors_0.28.0
## [25] BiocGenerics_0.36.0 gplots_3.1.1
## [27] reshape2_1.4.4
##
## loaded via a namespace (and not attached):
## [1] colorspace_2.0-0 ellipsis_0.3.1 rprojroot_2.0.2
## [4] XVector_0.30.0 rstudioapi_0.13 farver_2.1.0
## [7] bit64_4.0.5 AnnotationDbi_1.52.0 fansi_0.4.2
## [10] xml2_1.3.2 splines_4.0.3 cachem_1.0.4
## [13] geneplotter_1.68.0 knitr_1.31 polyclip_1.10-0
## [16] jsonlite_1.7.2 annotate_1.68.0 shiny_1.6.0
## [19] compiler_4.0.3 httr_1.4.2 assertthat_0.2.1
## [22] Matrix_1.3-2 fastmap_1.1.0 later_1.1.0.1
## [25] prettyunits_1.1.1 htmltools_0.5.1.1 tools_4.0.3
## [28] gtable_0.3.0 glue_1.4.2 GenomeInfoDbData_1.2.4
## [31] Rcpp_1.0.6 jquerylib_0.1.3 vctrs_0.3.6
## [34] svglite_2.0.0 polylabelr_0.2.0 xfun_0.22
## [37] stringr_1.4.0 testthat_3.0.2 rvest_1.0.0
## [40] mime_0.10 lifecycle_1.0.0 XML_3.99-0.6
## [43] zlibbioc_1.36.0 MASS_7.3-53.1 scales_1.1.1
## [46] hms_1.0.0 promises_1.2.0.1 RColorBrewer_1.1-2
## [49] yaml_2.2.1 memoise_2.0.0 gridExtra_2.3
## [52] sass_0.3.1 reshape_0.8.8 stringi_1.5.3
## [55] RSQLite_2.2.4 highr_0.8 genefilter_1.72.0
## [58] desc_1.3.0 caTools_1.18.1 BiocParallel_1.24.1
## [61] rlang_0.4.10 pkgconfig_2.0.3 systemfonts_1.0.1
## [64] bitops_1.0-6 evaluate_0.14 lattice_0.20-41
## [67] purrr_0.3.4 labeling_0.4.2 htmlwidgets_1.5.3
## [70] bit_4.0.4 tidyselect_1.1.0 plyr_1.8.6
## [73] magrittr_2.0.1 R6_2.5.0 generics_0.1.0
## [76] DelayedArray_0.16.0 DBI_1.1.1 withr_2.4.1
## [79] pillar_1.5.1 survival_3.2-10 RCurl_1.98-1.3
## [82] crayon_1.4.1 KernSmooth_2.23-18 utf8_1.2.1
## [85] rmarkdown_2.7 progress_1.2.2 locfit_1.5-9.4
## [88] grid_4.0.3 blob_1.2.1 digest_0.6.27
## [91] webshot_0.5.2 xtable_1.8-4 httpuv_1.5.5
## [94] munsell_0.5.0 viridisLite_0.3.0 bslib_0.2.4
## [97] tcltk_4.0.3
END of report