22 Milo: Differential Abundance

Changes in gene expression are only part of the story. In many studies, the more important biological signal is that certain cell states become more or less abundant across conditions, donors, or time points.

sclet provides a state-aware interface to miloR for cell neighbourhood differential abundance (DA) analysis. The Milo functionality in sclet is an optional dependency: you need to install miloR to run the examples. In the GitHub Actions bookdown workflow, these chunks are executed when the required packages are available, so this chapter also acts as a regression check for the DA integration layer.

22.1 Requirements

Before running Milo DA, prepare a SingleCellExperiment with:

  • reducedDims(sce)$PCA
  • colData(sce) containing a sample column and a condition column

UMAP is optional (used for visualization only).

22.2 Two-group DA (GLM)

library(MouseThymusAgeing)
library(scater)
library(sclet)

sce <- MouseSMARTseqData()
colData(sce)$Sample <- paste(colData(sce)$SortDay, colData(sce)$Age, sep = "_")

sce <- NormalizeData(sce)
sce <- RunPCA(sce)
sce <- RunUMAP(sce)

res <- RunMilo(
  sce = sce,
  sample_col = "Sample",
  condition_col = "Age",
  name = "milo_main",
  contrasts = c("Age1wk - Age4wk"),
  k1 = 11, k2 = 11, d1 = 40, d2 = 40, prop = 0.2
)

da <- res$da_results
table(da$SpatialFDR < 0.1)
## 
## FALSE 
##   339
head(da)
##        logFC   logCPM          F     PValue       FDR Nhood
## 1  0.3089824 13.77764 0.06225506 0.80297414 1.0000000     1
## 2 -1.9061370 13.49367 1.88177693 0.17017772 0.5016543     2
## 3  0.1589225 13.62763 0.01202260 0.91269209 1.0000000     3
## 4 -0.9256544 13.61763 0.37873529 0.54660693 0.8515624     4
## 5 -3.2415458 13.78463 4.95133825 0.02610325 0.2047089     5
## 6 -1.8640128 13.78308 1.82853346 0.17634597 0.5069113     6
##   SpatialFDR        contrast PValue_adj_withinNhood
## 1  1.0000000 Age1wk - Age4wk             0.80297414
## 2  0.5174654 Age1wk - Age4wk             0.17017772
## 3  1.0000000 Age1wk - Age4wk             0.91269209
## 4  0.8711589 Age1wk - Age4wk             0.54660693
## 5  0.2108180 Age1wk - Age4wk             0.02610325
## 6  0.5246127 Age1wk - Age4wk             0.17634597
get_milo(res$sce)
## $id
## [1] "milo_main"
## 
## $type
## [1] "milo"
## 
## $status
## [1] "completed"
## 
## $method
## [1] "miloR"
## 
## $inputs
## $inputs$reduction
## [1] "PCA"
## 
## $inputs$sample_col
## [1] "Sample"
## 
## $inputs$condition_col
## [1] "Age"
## 
## $inputs$covariates
## NULL
## 
## 
## $artifacts
## $artifacts$analysis_key
## [1] "milo"
## 
## $artifacts$da_results
##           logFC   logCPM            F       PValue
## 1    0.30898235 13.77764 6.225506e-02 0.8029741404
## 2   -1.90613696 13.49367 1.881777e+00 0.1701777150
## 3    0.15892253 13.62763 1.202260e-02 0.9126920869
## 4   -0.92565436 13.61763 3.787353e-01 0.5466069277
## 5   -3.24154575 13.78463 4.951338e+00 0.0261032547
## 6   -1.86401277 13.78308 1.828533e+00 0.1763459652
## 7    1.06238803 13.71063 6.704197e-01 0.4129340959
## 8   -3.07214014 13.52167 4.656772e+00 0.0309662914
## 9   -0.05716276 13.47313 2.174914e-03 0.9628047372
## 10  -4.31005125 13.49738 8.408827e+00 0.0037460282
## 11  -0.58583386 13.49193 1.932042e-01 0.6602771084
## 12  -1.54697794 13.54854 1.373925e+00 0.2411799146
## 13  -0.62548534 13.61055 2.343423e-01 0.6283382054
## 14  -0.87364340 13.53510 4.482993e-01 0.5031664984
## 15  -0.31413049 13.74724 6.226893e-02 0.8029526548
## 16   0.00000000 13.53958 0.000000e+00 1.0000000000
## 17  -0.17357626 13.52712 1.867442e-02 0.8913080527
## 18  -1.87498088 13.67509 2.218369e+00 0.1364235529
## 19   1.18534653 13.58368 8.821441e-01 0.3476485575
## 20   1.73680048 13.64883 1.694486e+00 0.1930549120
## 21   3.76710384 13.63423 6.614807e+00 0.0101345317
## 22  -1.87544506 13.62591 2.284000e+00 0.1307609999
## 23  -0.61148315 13.40594 2.211956e-01 0.6381455557
## 24  -2.57488554 13.73203 3.048506e+00 0.0808567355
## 25  -3.80125603 13.66222 6.517674e+00 0.0107024688
## 26   0.71282463 13.64547 3.014664e-01 0.5829826331
## 27  -0.78187675 13.71333 3.616482e-01 0.5476124188
## 28   1.89913751 13.75141 2.087737e+00 0.1485320987
## 29  -1.84011337 13.69283 1.532680e+00 0.2157535073
## 30  -1.03728143 13.84318 6.666794e-01 0.4142404126
## 31   0.11485914 13.98842 9.353034e-03 0.9229586931
## 32  -2.34166108 13.90132 2.732656e+00 0.0983619652
## 33   0.67985803 13.83413 3.056155e-01 0.5804014350
## 34  -1.06136849 13.89741 6.718173e-01 0.4124475447
## 35  -1.66143087 13.69066 1.552877e+00 0.2351135572
## 36  -4.13384976 13.71524 7.365245e+00 0.0066664655
## 37  -0.85205264 13.51053 4.133111e-01 0.5203154060
## 38  -1.21338675 13.71454 5.688156e-01 0.4507561369
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## 41  -1.87631286 13.57379 1.808834e+00 0.1786931909
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## 44  -3.62386677 13.45089 6.523401e+00 0.0106680936
## 45  -3.27942632 13.86024 5.121236e+00 0.0236662735
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## 72   0.00000000 13.38681 0.000000e+00 1.0000000000
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## 74   0.00000000 13.71862 0.000000e+00 1.0000000000
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## 81  -1.87717763 13.80478 1.827679e+00 0.1764470127
## 82   0.00000000 13.58349 0.000000e+00 1.0000000000
## 83   0.00000000 13.62845 0.000000e+00 1.0000000000
## 84   0.00000000 13.53978 0.000000e+00 1.0000000000
## 85  -0.07191857 13.44069 3.452649e-03 0.9531456025
## 86   0.00000000 13.59596 0.000000e+00 1.0000000000
## 87   1.99703003 13.58198 2.349067e+00 0.1254046574
## 88   0.55439741 13.66428 1.845895e-01 0.6674720859
## 89   1.22419294 13.64753 8.827053e-01 0.3474952582
## 90  -3.85981770 13.55334 7.087596e+00 0.0077802493
## 91  -1.31566847 13.58517 1.395095e+00 0.2375879109
## 92   4.76235760 13.50817 9.965458e+00 0.0016020348
## 93  -1.99688181 13.66296 2.387855e+00 0.1223279929
## 94   2.91666287 13.41743 4.528832e+00 0.0333643289
## 95  -0.44269116 13.54200 1.243254e-01 0.7244007264
## 96   2.01599814 13.51948 2.312440e+00 0.1283890921
## 97  -3.26906121 13.53785 5.391008e+00 0.0202702592
## 98   1.72594265 13.63702 2.064652e+00 0.1507955240
## 99  -1.47202418 13.66303 1.119454e+00 0.2900737553
## 100  2.22320707 13.45012 2.759727e+00 0.0967109783
## 101  0.00000000 13.43539 0.000000e+00 1.0000000000
## 102  0.00000000 13.50409 0.000000e+00 1.0000000000
## 103 -1.74832915 13.81033 1.754306e+00 0.1853810060
## 104 -1.31579799 13.71033 7.821877e-01 0.3765042513
## 105 -2.36688818 13.53328 2.868302e+00 0.0903860628
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## 107 -0.14745731 13.81156 1.466265e-02 0.9036237895
## 108 -3.49895858 13.55544 6.015744e+00 0.0142038138
## 109 -3.26288360 13.52032 5.205298e+00 0.0225490113
## 110  0.10161259 13.68506 6.186252e-03 0.9565571570
## 111 -2.58094758 13.43912 3.488393e+00 0.0618436715
## 112 -0.57776211 13.68886 1.818066e-01 0.6698387990
## 113  0.43808689 13.51600 1.140614e-01 0.7355772826
## 114  1.71957217 13.76278 1.785335e+00 0.1815403798
## 115 -0.85526212 13.59583 4.411022e-01 0.5066135176
## 116 -2.57412262 13.74069 3.190518e+00 0.0741112335
## 117  0.00000000 13.49479 0.000000e+00 1.0000000000
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## 119  0.00000000 13.51832 0.000000e+00 1.0000000000
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## 123 -1.53977902 13.45767 1.325172e+00 0.2497066194
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## 125 -3.94764725 13.39424 7.897700e+00 0.0049639617
## 126 -2.20652700 14.13848 2.368394e+00 0.1238610372
## 127  2.46901875 13.51993 3.281027e+00 0.0701293072
## 128  4.56302252 13.45845 9.475418e+00 0.0020907528
## 129 -3.20468825 13.56003 5.248073e+00 0.0220016304
## 130 -1.24873513 13.54404 1.350427e+00 0.2452443336
## 131 -0.43051228 13.42631 1.194871e-01 0.7296021134
## 132  0.00000000 13.63423 0.000000e+00 1.0000000000
## 133 -0.17286653 13.74265 1.875158e-02 0.8910851234
## 134  0.12891467 13.50509 1.105622e-02 0.9162610435
## 135  0.00000000 14.04518 0.000000e+00 1.0000000000
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## 137 -1.42273680 13.56908 1.117403e+00 0.2905160106
## 138 -1.94625441 13.73399 2.285606e+00 0.1306257396
## 139  0.00000000 13.55136 0.000000e+00 1.0000000000
## 140  0.03804163 13.56195 4.575435e-03 0.9460726478
## 141 -0.65719989 13.86171 2.434695e-01 0.6217274277
## 142 -3.94949512 13.59318 7.263389e+00 0.0070547910
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## 144 -0.37406772 13.51319 8.835793e-02 0.7662842898
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## 191 -0.91835231 13.47739 5.039700e-01 0.4777853297
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## 194 -2.77266134 13.48646 4.148335e+00 0.0417142652
## 195  0.00000000 13.83672 0.000000e+00 1.0000000000
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## 201 -1.65184282 13.50101 1.424634e+00 0.2326839120
## 202 -1.88158957 13.82907 2.245531e+00 0.1340474886
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## 215 -0.91669965 13.64604 5.005496e-01 0.4792830385
## 216  0.00000000 13.49761 0.000000e+00 1.0000000000
## 217 -1.22950239 13.76248 8.677402e-01 0.3516148359
## 218  0.21528167 13.41378 3.136478e-02 0.8594343031
## 219 -0.35634244 13.52859 7.229845e-02 0.7880273589
## 220  0.04851715 13.57385 1.829581e-03 0.9658832647
## 221  0.00000000 13.42775 0.000000e+00 1.0000000000
## 222 -3.10072377 13.61755 4.809924e+00 0.0283301405
## 223 -3.01964678 13.56730 4.526150e+00 0.0334166247
## 224 -0.61908142 13.48547 2.108293e-01 0.6461328707
## 225 -0.42938460 13.87815 1.221514e-01 0.7267236316
## 226  0.00000000 13.40892 0.000000e+00 1.0000000000
## 227 -1.24837564 13.45634 1.374628e+00 0.2410594331
## 228  1.36727897 13.85833 1.351456e+00 0.2450647290
## 229  0.00000000 13.78537 0.000000e+00 1.0000000000
## 230  0.11215585 13.43765 6.277143e-03 0.9368532769
## 231  0.00000000 13.66657 0.000000e+00 1.0000000000
## 232 -1.31627095 13.75876 1.317710e+00 0.2510439135
## 233 -0.94889390 13.43024 5.091920e-01 0.4755134190
## 234 -1.63980828 13.46556 1.428453e+00 0.2320589393
## 235 -2.06859665 13.61061 2.066790e+00 0.1505841821
## 236 -2.05297191 13.39390 2.359702e+00 0.1245526383
## 237 -2.26582310 13.39949 2.983026e+00 0.0841873686
## 238 -1.31566623 13.58556 1.394975e+00 0.2376082047
## 239  0.00000000 13.69667 0.000000e+00 1.0000000000
## 240  2.20220727 13.56852 2.777159e+00 0.0956638465
## 241 -1.98075636 13.54303 2.492872e+00 0.1144094955
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## 243 -0.83548140 13.51974 4.185770e-01 0.5176698605
## 244 -3.21703776 13.69463 4.744376e+00 0.0294285612
## 245  0.26073661 13.68221 4.257120e-02 0.8365409769
## 246  0.00000000 13.46182 0.000000e+00 1.0000000000
## 247 -4.26410628 13.79930 7.911559e+00 0.0049261206
## 248 -1.94547626 13.55522 2.443783e+00 0.1180380137
## 249  0.00000000 13.77484 0.000000e+00 1.0000000000
## 250  0.00000000 13.69342 0.000000e+00 1.0000000000
## 251 -2.44165423 13.69297 3.167820e+00 0.0751473886
## 252  4.91547331 13.54614 1.054609e+01 0.0011700077
## 253 -2.47814678 13.58956 3.440127e+00 0.0636741684
## 254 -0.29480525 13.44809 4.311958e-02 0.8355065060
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## 256 -2.20812283 13.58750 2.739230e+00 0.0979582282
## 257 -3.80536109 13.86087 6.725588e+00 0.0095243673
## 258 -5.07638464 13.79962 1.062144e+01 0.0011233514
## 259  0.00000000 13.67408 0.000000e+00 1.0000000000
## 260  0.29068958 13.58925 5.192085e-02 0.8197608104
## 261 -2.10012989 13.66979 2.186642e+00 0.1392590271
## 262  0.00000000 13.74541 0.000000e+00 1.0000000000
## 263 -1.63946007 13.89494 1.442257e+00 0.2298164248
## 264 -0.22152673 13.54468 2.960862e-02 0.8633864054
## 265 -0.44400099 13.49555 1.098303e-01 0.7403476123
## 266 -3.04233111 13.66067 4.566750e+00 0.0326340282
## 267  1.29247040 13.79312 8.708102e-01 0.3507643511
## 268 -1.33650441 13.65793 1.357424e+00 0.2440254337
## 269 -0.38261307 13.66642 7.961416e-02 0.7778295775
## 270 -4.16536238 13.47636 8.037301e+00 0.0045959361
## 271  0.00000000 13.85562 0.000000e+00 1.0000000000
## 272 -1.08680272 13.54191 6.293198e-01 0.4276326756
## 273 -1.98050063 13.41423 2.640581e+00 0.1042118914
## 274  1.20220549 13.56375 9.180922e-01 0.3380105552
## 275  3.08727262 13.75638 4.662158e+00 0.0308693830
## 276 -1.86908815 13.60569 1.957429e+00 0.1618342645
## 277 -2.43229100 13.76114 3.193650e+00 0.0739694540
## 278 -2.66067396 13.53443 3.717613e+00 0.0538829923
## 279  2.57782107 13.54565 3.597599e+00 0.0579055339
## 280 -2.91995836 13.60660 4.475521e+00 0.0344200749
## 281 -3.43359249 13.65082 5.476684e+00 0.0193006307
## 282  0.59981879 13.52173 2.129113e-01 0.6445098979
## 283 -1.33659833 13.69892 1.319646e+00 0.2506961732
## 284 -1.68095504 13.51466 1.466492e+00 0.2259422773
## 285 -3.21644667 13.52154 5.098893e+00 0.0239727751
## 286  0.26322545 13.84464 6.345723e-02 0.8011204477
## 287 -0.53787263 13.52760 1.816098e-01 0.6700069553
## 288  2.11590794 13.66685 2.710272e+00 0.0997503480
## 289  0.00000000 13.99319 0.000000e+00 1.0000000000
## 290 -3.70223008 13.48070 6.537382e+00 0.0105846538
## 291 -1.66080445 13.45793 1.693337e+00 0.2351135572
## 292 -0.91775849 13.47710 4.685829e-01 0.4936632176
## 293 -1.16353159 13.69881 7.195659e-01 0.3963162771
## 294 -1.48886730 13.41388 1.307153e+00 0.2529510897
## 295 -2.96470911 13.54063 4.480592e+00 0.0343181782
## 296  1.25972948 13.40038 1.020622e+00 0.3124076273
## 297 -2.12188549 13.69891 2.103506e+00 0.1470080448
## 298 -0.79677606 13.39035 3.505820e-01 0.5538036049
## 299 -1.24773542 13.64418 1.297645e+00 0.2546841046
## 300 -1.98010596 13.66039 2.371539e+00 0.1236118419
## 301  0.19144852 13.69050 2.261618e-02 0.8804639441
## 302 -1.24830749 13.60613 1.328617e+00 0.2490920566
## 303  0.27093470 13.50957 4.569560e-02 0.8455992580
## 304 -1.07384031 13.56723 5.068467e-01 0.5466069342
## 305  3.11675308 13.58036 4.737588e+00 0.0295448126
## 306  0.50426850 13.43894 1.614357e-01 0.6878508129
## 307 -3.45029759 13.85775 5.468350e+00 0.0193928114
## 308 -1.16017641 13.66652 7.592196e-01 0.3836036999
## 309 -2.55004334 13.75221 3.149722e+00 0.0759847473
## 310  0.13424667 13.58796 1.002867e-02 0.9202335611
## 311 -3.79270158 13.39403 7.405370e+00 0.0065195498
## 312  5.17376692 13.63839 1.090563e+01 0.0009636872
## 313  2.08788166 13.53486 2.494012e+00 0.1143267122
## 314 -1.05980083 13.59877 6.087661e-01 0.4352799991
## 315  0.00000000 13.70726 0.000000e+00 1.0000000000
## 316 -1.95865407 13.83024 2.339465e+00 0.1261795445
## 317  0.00000000 13.52662 0.000000e+00 1.0000000000
## 318  0.16558678 13.77083 1.778865e-02 0.8939014967
## 319 -1.87605343 13.47984 2.358904e+00 0.1246163310
## 320 -2.99579054 13.54417 4.429824e+00 0.0353528584
## 321 -3.61169447 13.56815 6.336298e+00 0.0118520219
## 322 -1.08244734 13.67284 5.853721e-01 0.4442409190
## 323 -0.30604063 13.71216 5.276730e-02 0.8183230056
## 324 -3.00272346 13.56970 4.546381e+00 0.0330242342
## 325 -1.53203979 13.65326 1.178992e+00 0.2775998424
## 326 -1.36066455 13.53968 1.058969e+00 0.3034871072
## 327 -0.01543818 13.62384 9.329385e-04 0.9756340680
## 328 -1.83011136 13.67637 1.644412e+00 0.1997650948
## 329 -0.68944662 13.45508 2.811690e-01 0.5959533903
## 330 -0.37171909 13.72996 8.156986e-02 0.7751898734
## 331 -1.19113831 13.67317 7.744748e-01 0.3788674778
## 332 -2.47809854 13.47457 3.476174e+00 0.0623017278
## 333  3.09751207 13.49352 4.787386e+00 0.0287029257
## 334 -1.24802971 13.62387 1.311693e+00 0.2521288237
## 335  1.57809424 13.49597 1.358698e+00 0.2438043275
## 336 -1.26845475 13.50243 9.251873e-01 0.3361509255
## 337  2.44475662 13.59264 3.171226e+00 0.0749909326
## 338 -1.80624811 13.56742 1.829912e+00 0.1761831000
## 339 -0.44342172 13.53989 1.224292e-01 0.7264254592
##           FDR Nhood SpatialFDR        contrast
## 1   1.0000000     1  1.0000000 Age1wk - Age4wk
## 2   0.5016543     2  0.5174654 Age1wk - Age4wk
## 3   1.0000000     3  1.0000000 Age1wk - Age4wk
## 4   0.8515624     4  0.8711589 Age1wk - Age4wk
## 5   0.2047089     5  0.2108180 Age1wk - Age4wk
## 6   0.5069113     6  0.5246127 Age1wk - Age4wk
## 7   0.7164668     7  0.7390460 Age1wk - Age4wk
## 8   0.2047089     8  0.2108180 Age1wk - Age4wk
## 9   1.0000000     9  1.0000000 Age1wk - Age4wk
## 10  0.1294448    10  0.1296490 Age1wk - Age4wk
## 11  0.9513726    11  0.9651099 Age1wk - Age4wk
## 12  0.5390922    12  0.5488093 Age1wk - Age4wk
## 13  0.9301601    13  0.9512893 Age1wk - Age4wk
## 14  0.8161409    14  0.8340011 Age1wk - Age4wk
## 15  1.0000000    15  1.0000000 Age1wk - Age4wk
## 16  1.0000000    16  1.0000000 Age1wk - Age4wk
## 17  1.0000000    17  1.0000000 Age1wk - Age4wk
## 18  0.4322204    18  0.4461411 Age1wk - Age4wk
## 19  0.6547381    19  0.6625748 Age1wk - Age4wk
## 20  0.5277872    20  0.5488093 Age1wk - Age4wk
## 21  0.1395437    21  0.1515522 Age1wk - Age4wk
## 22  0.4221712    22  0.4350017 Age1wk - Age4wk
## 23  0.9405711    23  0.9570125 Age1wk - Age4wk
## 24  0.3384004    24  0.3490185 Age1wk - Age4wk
## 25  0.1395437    25  0.1515522 Age1wk - Age4wk
## 26  0.8834077    26  0.9036704 Age1wk - Age4wk
## 27  0.8515624    27  0.8711589 Age1wk - Age4wk
## 28  0.4564257    28  0.4755424 Age1wk - Age4wk
## 29  0.5390922    29  0.5488093 Age1wk - Age4wk
## 30  0.7164668    30  0.7390460 Age1wk - Age4wk
## 31  1.0000000    31  1.0000000 Age1wk - Age4wk
## 32  0.3704967    32  0.3781165 Age1wk - Age4wk
## 33  0.8834077    33  0.9034535 Age1wk - Age4wk
## 34  0.7164668    34  0.7390460 Age1wk - Age4wk
## 35  0.5390922    35  0.5488093 Age1wk - Age4wk
## 36  0.1328652    36  0.1365070 Age1wk - Age4wk
## 37  0.8281076    37  0.8451428 Age1wk - Age4wk
## 38  0.7527405    38  0.7705335 Age1wk - Age4wk
## 39  1.0000000    39  1.0000000 Age1wk - Age4wk
## 40  0.6604069    40  0.6728621 Age1wk - Age4wk
## 41  0.5086131    41  0.5279530 Age1wk - Age4wk
## 42  0.8277834    42  0.8451428 Age1wk - Age4wk
## 43  1.0000000    43  1.0000000 Age1wk - Age4wk
## 44  0.1395437    44  0.1515522 Age1wk - Age4wk
## 45  0.2031693    45  0.2108180 Age1wk - Age4wk
## 46  1.0000000    46  1.0000000 Age1wk - Age4wk
## 47  0.5390922    47  0.5488093 Age1wk - Age4wk
## 48  1.0000000    48  1.0000000 Age1wk - Age4wk
## 49  1.0000000    49  1.0000000 Age1wk - Age4wk
## 50  0.1226114    50  0.1296490 Age1wk - Age4wk
## 51  0.5390922    51  0.5488093 Age1wk - Age4wk
## 52  0.2047089    52  0.2108180 Age1wk - Age4wk
## 53  0.8630330    53  0.8772666 Age1wk - Age4wk
## 54  0.9812909    54  0.9831615 Age1wk - Age4wk
## 55  0.5390922    55  0.5488093 Age1wk - Age4wk
## 56  1.0000000    56  0.9949737 Age1wk - Age4wk
## 57  0.9513726    57  0.9651099 Age1wk - Age4wk
## 58  1.0000000    58  1.0000000 Age1wk - Age4wk
## 59  0.7164668    59  0.7390460 Age1wk - Age4wk
## 60  1.0000000    60  1.0000000 Age1wk - Age4wk
## 61  1.0000000    61  1.0000000 Age1wk - Age4wk
## 62  0.5390922    62  0.5488093 Age1wk - Age4wk
## 63  0.1395437    63  0.1515522 Age1wk - Age4wk
## 64  1.0000000    64  1.0000000 Age1wk - Age4wk
## 65  1.0000000    65  1.0000000 Age1wk - Age4wk
## 66  0.1294448    66  0.1296490 Age1wk - Age4wk
## 67  0.6833521    67  0.6958646 Age1wk - Age4wk
## 68  0.5965844    68  0.6052819 Age1wk - Age4wk
## 69  0.2976040    69  0.2946432 Age1wk - Age4wk
## 70  1.0000000    70  1.0000000 Age1wk - Age4wk
## 71  0.4680500    71  0.4875123 Age1wk - Age4wk
## 72  1.0000000    72  1.0000000 Age1wk - Age4wk
## 73  0.7669508    73  0.7856152 Age1wk - Age4wk
## 74  1.0000000    74  1.0000000 Age1wk - Age4wk
## 75  1.0000000    75  1.0000000 Age1wk - Age4wk
## 76  0.8748848    76  0.8907601 Age1wk - Age4wk
## 77  0.1966838    77  0.2108180 Age1wk - Age4wk
## 78  0.2047089    78  0.2108180 Age1wk - Age4wk
## 79  0.3219854    79  0.3303003 Age1wk - Age4wk
## 80  0.5390922    80  0.5488093 Age1wk - Age4wk
## 81  0.5069113    81  0.5246127 Age1wk - Age4wk
## 82  1.0000000    82  1.0000000 Age1wk - Age4wk
## 83  1.0000000    83  1.0000000 Age1wk - Age4wk
## 84  1.0000000    84  1.0000000 Age1wk - Age4wk
## 85  1.0000000    85  1.0000000 Age1wk - Age4wk
## 86  1.0000000    86  1.0000000 Age1wk - Age4wk
## 87  0.4193614    87  0.4295266 Age1wk - Age4wk
## 88  0.9513726    88  0.9651099 Age1wk - Age4wk
## 89  0.6547381    89  0.6625748 Age1wk - Age4wk
## 90  0.1388160    90  0.1440254 Age1wk - Age4wk
## 91  0.5390922    91  0.5488093 Age1wk - Age4wk
## 92  0.1012522    92  0.1035243 Age1wk - Age4wk
## 93  0.4193614    93  0.4295266 Age1wk - Age4wk
## 94  0.2047089    94  0.2108180 Age1wk - Age4wk
## 95  0.9933137    95  0.9927464 Age1wk - Age4wk
## 96  0.4221712    96  0.4324996 Age1wk - Age4wk
## 97  0.1963319    97  0.2108180 Age1wk - Age4wk
## 98  0.4564257    98  0.4755424 Age1wk - Age4wk
## 99  0.5862198    99  0.5986355 Age1wk - Age4wk
## 100 0.3704967   100  0.3781165 Age1wk - Age4wk
## 101 1.0000000   101  1.0000000 Age1wk - Age4wk
## 102 1.0000000   102  1.0000000 Age1wk - Age4wk
## 103 0.5151161   103  0.5378106 Age1wk - Age4wk
## 104 0.6833521   104  0.6958646 Age1wk - Age4wk
## 105 0.3562892   105  0.3621768 Age1wk - Age4wk
## 106 0.9933137   106  0.9927464 Age1wk - Age4wk
## 107 1.0000000   107  1.0000000 Age1wk - Age4wk
## 108 0.1660377   108  0.1757241 Age1wk - Age4wk
## 109 0.2011609   109  0.2108180 Age1wk - Age4wk
## 110 1.0000000   110  1.0000000 Age1wk - Age4wk
## 111 0.3039004   111  0.3010781 Age1wk - Age4wk
## 112 0.9513726   112  0.9651099 Age1wk - Age4wk
## 113 0.9934689   113  0.9927464 Age1wk - Age4wk
## 114 0.5086131   114  0.5300257 Age1wk - Age4wk
## 115 0.8178190   115  0.8364714 Age1wk - Age4wk
## 116 0.3219854   116  0.3303003 Age1wk - Age4wk
## 117 1.0000000   117  1.0000000 Age1wk - Age4wk
## 118 0.9191510   118  0.9399306 Age1wk - Age4wk
## 119 1.0000000   119  1.0000000 Age1wk - Age4wk
## 120 0.3039004   120  0.3010781 Age1wk - Age4wk
## 121 0.7162299   121  0.7343263 Age1wk - Age4wk
## 122 0.7067490   122  0.7246676 Age1wk - Age4wk
## 123 0.5390922   123  0.5488093 Age1wk - Age4wk
## 124 1.0000000   124  1.0000000 Age1wk - Age4wk
## 125 0.1294448   125  0.1296490 Age1wk - Age4wk
## 126 0.4193614   126  0.4295266 Age1wk - Age4wk
## 127 0.3219854   127  0.3227886 Age1wk - Age4wk
## 128 0.1012522   128  0.1035243 Age1wk - Age4wk
## 129 0.2011609   129  0.2108180 Age1wk - Age4wk
## 130 0.5390922   130  0.5488093 Age1wk - Age4wk
## 131 0.9933137   131  0.9927464 Age1wk - Age4wk
## 132 1.0000000   132  1.0000000 Age1wk - Age4wk
## 133 1.0000000   133  1.0000000 Age1wk - Age4wk
## 134 1.0000000   134  1.0000000 Age1wk - Age4wk
## 135 1.0000000   135  1.0000000 Age1wk - Age4wk
## 136 0.7494038   136  0.7662373 Age1wk - Age4wk
## 137 0.5862198   137  0.5986355 Age1wk - Age4wk
## 138 0.4221712   138  0.4350017 Age1wk - Age4wk
## 139 1.0000000   139  1.0000000 Age1wk - Age4wk
## 140 1.0000000   140  1.0000000 Age1wk - Age4wk
## 141 0.9244105   141  0.9452524 Age1wk - Age4wk
## 142 0.1328652   142  0.1365070 Age1wk - Age4wk
## 143 0.9513726   143  0.9651099 Age1wk - Age4wk
## 144 1.0000000   144  1.0000000 Age1wk - Age4wk
## 145 0.1782291   145  0.1901915 Age1wk - Age4wk
## 146 0.2619796   146  0.2594111 Age1wk - Age4wk
## 147 0.3039004   147  0.3010781 Age1wk - Age4wk
## 148 0.3219854   148  0.3303003 Age1wk - Age4wk
## 149 0.9513726   149  0.9651099 Age1wk - Age4wk
## 150 0.3039004   150  0.3010781 Age1wk - Age4wk
## 151 0.1660377   151  0.1757241 Age1wk - Age4wk
## 152 0.8350116   152  0.8532802 Age1wk - Age4wk
## 153 0.9513726   153  0.9651099 Age1wk - Age4wk
## 154 0.1804509   154  0.1911862 Age1wk - Age4wk
## 155 1.0000000   155  1.0000000 Age1wk - Age4wk
## 156 0.3059417   156  0.3015523 Age1wk - Age4wk
## 157 0.5390922   157  0.5488093 Age1wk - Age4wk
## 158 0.2047089   158  0.2108180 Age1wk - Age4wk
## 159 0.3562892   159  0.3621768 Age1wk - Age4wk
## 160 1.0000000   160  1.0000000 Age1wk - Age4wk
## 161 0.6547381   161  0.6625748 Age1wk - Age4wk
## 162 0.5426789   162  0.5543823 Age1wk - Age4wk
## 163 0.1328652   163  0.1365070 Age1wk - Age4wk
## 164 0.5390922   164  0.5488093 Age1wk - Age4wk
## 165 0.5390922   165  0.5488093 Age1wk - Age4wk
## 166 0.5390922   166  0.5488093 Age1wk - Age4wk
## 167 0.6833521   167  0.6958646 Age1wk - Age4wk
## 168 0.5390922   168  0.5488093 Age1wk - Age4wk
## 169 0.5390922   169  0.5488093 Age1wk - Age4wk
## 170 0.5580006   170  0.5712136 Age1wk - Age4wk
## 171 1.0000000   171  1.0000000 Age1wk - Age4wk
## 172 1.0000000   172  0.9949737 Age1wk - Age4wk
## 173 1.0000000   173  1.0000000 Age1wk - Age4wk
## 174 1.0000000   174  1.0000000 Age1wk - Age4wk
## 175 0.7266819   175  0.7486393 Age1wk - Age4wk
## 176 0.2047089   176  0.2108180 Age1wk - Age4wk
## 177 0.3532080   177  0.3608202 Age1wk - Age4wk
## 178 1.0000000   178  1.0000000 Age1wk - Age4wk
## 179 0.1395437   179  0.1515522 Age1wk - Age4wk
## 180 0.5426789   180  0.5543823 Age1wk - Age4wk
## 181 0.1328652   181  0.1365070 Age1wk - Age4wk
## 182 0.5390922   182  0.5488093 Age1wk - Age4wk
## 183 0.1012522   183  0.1035243 Age1wk - Age4wk
## 184 1.0000000   184  1.0000000 Age1wk - Age4wk
## 185 0.1012522   185  0.1035243 Age1wk - Age4wk
## 186 0.5390922   186  0.5488093 Age1wk - Age4wk
## 187 0.9933137   187  0.9927464 Age1wk - Age4wk
## 188 0.5390922   188  0.5488093 Age1wk - Age4wk
## 189 0.2115337   189  0.2173355 Age1wk - Age4wk
## 190 0.6547381   190  0.6611470 Age1wk - Age4wk
## 191 0.7849128   191  0.8041576 Age1wk - Age4wk
## 192 1.0000000   192  1.0000000 Age1wk - Age4wk
## 193 1.0000000   193  1.0000000 Age1wk - Age4wk
## 194 0.2356856   194  0.2363220 Age1wk - Age4wk
## 195 1.0000000   195  1.0000000 Age1wk - Age4wk
## 196 0.3562892   196  0.3621768 Age1wk - Age4wk
## 197 0.9625830   197  0.9685744 Age1wk - Age4wk
## 198 0.2391647   198  0.2382813 Age1wk - Age4wk
## 199 0.7187911   199  0.7418921 Age1wk - Age4wk
## 200 0.6547381   200  0.6595244 Age1wk - Age4wk
## 201 0.5390922   201  0.5488093 Age1wk - Age4wk
## 202 0.4286990   202  0.4427614 Age1wk - Age4wk
## 203 1.0000000   203  1.0000000 Age1wk - Age4wk
## 204 0.9191510   204  0.9399306 Age1wk - Age4wk
## 205 0.5280717   205  0.5488093 Age1wk - Age4wk
## 206 0.8834077   206  0.9036704 Age1wk - Age4wk
## 207 0.1804509   207  0.1911862 Age1wk - Age4wk
## 208 0.5192600   208  0.5403206 Age1wk - Age4wk
## 209 0.5086131   209  0.5287291 Age1wk - Age4wk
## 210 0.6547381   210  0.6625748 Age1wk - Age4wk
## 211 1.0000000   211  1.0000000 Age1wk - Age4wk
## 212 0.9934689   212  0.9927464 Age1wk - Age4wk
## 213 0.8419343   213  0.8591986 Age1wk - Age4wk
## 214 0.6833521   214  0.6958646 Age1wk - Age4wk
## 215 0.7849128   215  0.8041576 Age1wk - Age4wk
## 216 1.0000000   216  1.0000000 Age1wk - Age4wk
## 217 0.6549309   217  0.6662429 Age1wk - Age4wk
## 218 1.0000000   218  1.0000000 Age1wk - Age4wk
## 219 1.0000000   219  1.0000000 Age1wk - Age4wk
## 220 1.0000000   220  1.0000000 Age1wk - Age4wk
## 221 1.0000000   221  1.0000000 Age1wk - Age4wk
## 222 0.2047089   222  0.2108180 Age1wk - Age4wk
## 223 0.2047089   223  0.2108180 Age1wk - Age4wk
## 224 0.9441338   224  0.9600572 Age1wk - Age4wk
## 225 0.9933137   225  0.9927464 Age1wk - Age4wk
## 226 1.0000000   226  1.0000000 Age1wk - Age4wk
## 227 0.5390922   227  0.5488093 Age1wk - Age4wk
## 228 0.5390922   228  0.5488093 Age1wk - Age4wk
## 229 1.0000000   229  1.0000000 Age1wk - Age4wk
## 230 1.0000000   230  1.0000000 Age1wk - Age4wk
## 231 1.0000000   231  1.0000000 Age1wk - Age4wk
## 232 0.5390922   232  0.5488093 Age1wk - Age4wk
## 233 0.7849128   233  0.8041576 Age1wk - Age4wk
## 234 0.5390922   234  0.5488093 Age1wk - Age4wk
## 235 0.4564257   235  0.4755424 Age1wk - Age4wk
## 236 0.4193614   236  0.4295266 Age1wk - Age4wk
## 237 0.3480429   237  0.3537779 Age1wk - Age4wk
## 238 0.5390922   238  0.5488093 Age1wk - Age4wk
## 239 1.0000000   239  1.0000000 Age1wk - Age4wk
## 240 0.3704967   240  0.3779342 Age1wk - Age4wk
## 241 0.4126045   241  0.4230634 Age1wk - Age4wk
## 242 0.6475815   242  0.6531982 Age1wk - Age4wk
## 243 0.8277834   243  0.8451428 Age1wk - Age4wk
## 244 0.2047089   244  0.2108180 Age1wk - Age4wk
## 245 1.0000000   245  1.0000000 Age1wk - Age4wk
## 246 1.0000000   246  1.0000000 Age1wk - Age4wk
## 247 0.1294448   247  0.1296490 Age1wk - Age4wk
## 248 0.4193614   248  0.4295266 Age1wk - Age4wk
## 249 1.0000000   249  1.0000000 Age1wk - Age4wk
## 250 1.0000000   250  1.0000000 Age1wk - Age4wk
## 251 0.3219854   251  0.3303003 Age1wk - Age4wk
## 252 0.1012522   252  0.1035243 Age1wk - Age4wk
## 253 0.3040217   253  0.3010781 Age1wk - Age4wk
## 254 1.0000000   254  1.0000000 Age1wk - Age4wk
## 255 1.0000000   255  1.0000000 Age1wk - Age4wk
## 256 0.3704967   256  0.3781165 Age1wk - Age4wk
## 257 0.1395437   257  0.1515522 Age1wk - Age4wk
## 258 0.1012522   258  0.1035243 Age1wk - Age4wk
## 259 1.0000000   259  1.0000000 Age1wk - Age4wk
## 260 1.0000000   260  1.0000000 Age1wk - Age4wk
## 261 0.4371186   261  0.4523858 Age1wk - Age4wk
## 262 1.0000000   262  1.0000000 Age1wk - Age4wk
## 263 0.5390922   263  0.5488093 Age1wk - Age4wk
## 264 1.0000000   264  1.0000000 Age1wk - Age4wk
## 265 0.9959438   265  0.9949737 Age1wk - Age4wk
## 266 0.2047089   266  0.2108180 Age1wk - Age4wk
## 267 0.6549309   267  0.6662429 Age1wk - Age4wk
## 268 0.5390922   268  0.5488093 Age1wk - Age4wk
## 269 1.0000000   269  1.0000000 Age1wk - Age4wk
## 270 0.1294448   270  0.1296490 Age1wk - Age4wk
## 271 1.0000000   271  1.0000000 Age1wk - Age4wk
## 272 0.7284798   272  0.7486393 Age1wk - Age4wk
## 273 0.3839982   273  0.3939420 Age1wk - Age4wk
## 274 0.6547381   274  0.6595244 Age1wk - Age4wk
## 275 0.2047089   275  0.2108180 Age1wk - Age4wk
## 276 0.4812440   276  0.5001279 Age1wk - Age4wk
## 277 0.3219854   277  0.3303003 Age1wk - Age4wk
## 278 0.2899418   278  0.2874111 Age1wk - Age4wk
## 279 0.3019996   279  0.3007969 Age1wk - Age4wk
## 280 0.2047089   280  0.2108180 Age1wk - Age4wk
## 281 0.1933577   281  0.2092038 Age1wk - Age4wk
## 282 0.9441338   282  0.9600572 Age1wk - Age4wk
## 283 0.5390922   283  0.5488093 Age1wk - Age4wk
## 284 0.5390922   284  0.5488093 Age1wk - Age4wk
## 285 0.2031693   285  0.2108180 Age1wk - Age4wk
## 286 1.0000000   286  1.0000000 Age1wk - Age4wk
## 287 0.9513726   287  0.9651099 Age1wk - Age4wk
## 288 0.3715975   288  0.3815324 Age1wk - Age4wk
## 289 1.0000000   289  1.0000000 Age1wk - Age4wk
## 290 0.1395437   290  0.1515522 Age1wk - Age4wk
## 291 0.5390922   291  0.5488093 Age1wk - Age4wk
## 292 0.8045761   292  0.8229023 Age1wk - Age4wk
## 293 0.7067490   293  0.7228042 Age1wk - Age4wk
## 294 0.5390922   294  0.5488093 Age1wk - Age4wk
## 295 0.2047089   295  0.2108180 Age1wk - Age4wk
## 296 0.6193344   296  0.6251441 Age1wk - Age4wk
## 297 0.4564257   297  0.4745536 Age1wk - Age4wk
## 298 0.8572576   298  0.8711589 Age1wk - Age4wk
## 299 0.5390922   299  0.5488093 Age1wk - Age4wk
## 300 0.4193614   300  0.4295266 Age1wk - Age4wk
## 301 1.0000000   301  1.0000000 Age1wk - Age4wk
## 302 0.5390922   302  0.5488093 Age1wk - Age4wk
## 303 1.0000000   303  1.0000000 Age1wk - Age4wk
## 304 0.8515624   304  0.8711589 Age1wk - Age4wk
## 305 0.2047089   305  0.2108180 Age1wk - Age4wk
## 306 0.9635596   306  0.9685744 Age1wk - Age4wk
## 307 0.1933577   307  0.2092038 Age1wk - Age4wk
## 308 0.6880511   308  0.7019225 Age1wk - Age4wk
## 309 0.3219854   309  0.3315943 Age1wk - Age4wk
## 310 1.0000000   310  1.0000000 Age1wk - Age4wk
## 311 0.1328652   311  0.1365070 Age1wk - Age4wk
## 312 0.1012522   312  0.1035243 Age1wk - Age4wk
## 313 0.4126045   313  0.4230634 Age1wk - Age4wk
## 314 0.7377996   314  0.7593725 Age1wk - Age4wk
## 315 1.0000000   315  1.0000000 Age1wk - Age4wk
## 316 0.4193614   316  0.4295266 Age1wk - Age4wk
## 317 1.0000000   317  1.0000000 Age1wk - Age4wk
## 318 1.0000000   318  1.0000000 Age1wk - Age4wk
## 319 0.4193614   319  0.4295266 Age1wk - Age4wk
## 320 0.2066314   320  0.2126535 Age1wk - Age4wk
## 321 0.1488087   321  0.1622165 Age1wk - Age4wk
## 322 0.7492421   322  0.7662373 Age1wk - Age4wk
## 323 1.0000000   323  1.0000000 Age1wk - Age4wk
## 324 0.2047089   324  0.2108180 Age1wk - Age4wk
## 325 0.5669057   325  0.5787362 Age1wk - Age4wk
## 326 0.6051890   326  0.6106283 Age1wk - Age4wk
## 327 1.0000000   327  1.0000000 Age1wk - Age4wk
## 328 0.5374632   328  0.5488093 Age1wk - Age4wk
## 329 0.8979031   329  0.9151157 Age1wk - Age4wk
## 330 1.0000000   330  1.0000000 Age1wk - Age4wk
## 331 0.6833521   331  0.6958646 Age1wk - Age4wk
## 332 0.3039004   332  0.3010781 Age1wk - Age4wk
## 333 0.2047089   333  0.2108180 Age1wk - Age4wk
## 334 0.5390922   334  0.5488093 Age1wk - Age4wk
## 335 0.5390922   335  0.5488093 Age1wk - Age4wk
## 336 0.6547381   336  0.6595244 Age1wk - Age4wk
## 337 0.3219854   337  0.3303003 Age1wk - Age4wk
## 338 0.5069113   338  0.5246127 Age1wk - Age4wk
## 339 0.9933137   339  0.9927464 Age1wk - Age4wk
##     PValue_adj_withinNhood
## 1             0.8029741404
## 2             0.1701777150
## 3             0.9126920869
## 4             0.5466069277
## 5             0.0261032547
## 6             0.1763459652
## 7             0.4129340959
## 8             0.0309662914
## 9             0.9628047372
## 10            0.0037460282
## 11            0.6602771084
## 12            0.2411799146
## 13            0.6283382054
## 14            0.5031664984
## 15            0.8029526548
## 16            1.0000000000
## 17            0.8913080527
## 18            0.1364235529
## 19            0.3476485575
## 20            0.1930549120
## 21            0.0101345317
## 22            0.1307609999
## 23            0.6381455557
## 24            0.0808567355
## 25            0.0107024688
## 26            0.5829826331
## 27            0.5476124188
## 28            0.1485320987
## 29            0.2157535073
## 30            0.4142404126
## 31            0.9229586931
## 32            0.0983619652
## 33            0.5804014350
## 34            0.4124475447
## 35            0.2351135572
## 36            0.0066664655
## 37            0.5203154060
## 38            0.4507561369
## 39            0.9450858318
## 40            0.3565028212
## 41            0.1786931909
## 42            0.5176461348
## 43            0.9912855978
## 44            0.0106680936
## 45            0.0236662735
## 46            1.0000000000
## 47            0.2351135572
## 48            1.0000000000
## 49            0.8928727963
## 50            0.0028934850
## 51            0.2088426439
## 52            0.0301141308
## 53            0.5600804138
## 54            0.7034031768
## 55            0.2379293712
## 56            0.7537812400
## 57            0.6636028946
## 58            0.9272823590
## 59            0.4139893461
## 60            0.8007330886
## 61            1.0000000000
## 62            0.2351135279
## 63            0.0106936618
## 64            1.0000000000
## 65            0.8077416187
## 66            0.0043176902
## 67            0.3774601841
## 68            0.2974122653
## 69            0.0561848343
## 70            1.0000000000
## 71            0.1560166642
## 72            1.0000000000
## 73            0.4615279288
## 74            1.0000000000
## 75            0.8963165707
## 76            0.5703526514
## 77            0.0208867779
## 78            0.0248226150
## 79            0.0739533680
## 80            0.2437832428
## 81            0.1764470127
## 82            1.0000000000
## 83            1.0000000000
## 84            1.0000000000
## 85            0.9531456025
## 86            1.0000000000
## 87            0.1254046574
## 88            0.6674720859
## 89            0.3474952582
## 90            0.0077802493
## 91            0.2375879109
## 92            0.0016020348
## 93            0.1223279929
## 94            0.0333643289
## 95            0.7244007264
## 96            0.1283890921
## 97            0.0202702592
## 98            0.1507955240
## 99            0.2900737553
## 100           0.0967109783
## 101           1.0000000000
## 102           1.0000000000
## 103           0.1853810060
## 104           0.3765042513
## 105           0.0903860628
## 106           0.7271960990
## 107           0.9036237895
## 108           0.0142038138
## 109           0.0225490113
## 110           0.9565571570
## 111           0.0618436715
## 112           0.6698387990
## 113           0.7355772826
## 114           0.1815403798
## 115           0.5066135176
## 116           0.0741112335
## 117           1.0000000000
## 118           0.6154787220
## 119           1.0000000000
## 120           0.0626960392
## 121           0.4056523573
## 122           0.3981978265
## 123           0.2497066194
## 124           0.9392480811
## 125           0.0049639617
## 126           0.1238610372
## 127           0.0701293072
## 128           0.0020907528
## 129           0.0220016304
## 130           0.2452443336
## 131           0.7296021134
## 132           1.0000000000
## 133           0.8910851234
## 134           0.9162610435
## 135           1.0000000000
## 136           0.4465474065
## 137           0.2905160106
## 138           0.1306257396
## 139           1.0000000000
## 140           0.9460726478
## 141           0.6217274277
## 142           0.0070547910
## 143           0.6727410196
## 144           0.7662842898
## 145           0.0157724846
## 146           0.0479136767
## 147           0.0627522949
## 148           0.0740992453
## 149           0.6711188628
## 150           0.0622770158
## 151           0.0141537612
## 152           0.5271164906
## 153           0.6735380998
## 154           0.0170337107
## 155           1.0000000000
## 156           0.0649787736
## 157           0.2139699987
## 158           0.0279421539
## 159           0.0903337814
## 160           0.9535133684
## 161           0.3454723568
## 162           0.2625349407
## 163           0.0062350224
## 164           0.2454687124
## 165           0.2508934441
## 166           0.2566701216
## 167           0.3758235301
## 168           0.2497801323
## 169           0.2216965949
## 170           0.2715932279
## 171           0.7986328926
## 172           0.7494069115
## 173           1.0000000000
## 174           0.9601257463
## 175           0.4244336910
## 176           0.0274861413
## 177           0.0864786471
## 178           1.0000000000
## 179           0.0104090271
## 180           0.2624272465
## 181           0.0070079844
## 182           0.2576192772
## 183           0.0020365491
## 184           1.0000000000
## 185           0.0020542347
## 186           0.2482200018
## 187           0.7153811214
## 188           0.2365789880
## 189           0.0368155949
## 190           0.3404824352
## 191           0.4777853297
## 192           1.0000000000
## 193           0.7661351139
## 194           0.0417142652
## 195           1.0000000000
## 196           0.0901508753
## 197           0.6843141916
## 198           0.0430355432
## 199           0.4177045651
## 200           0.3368463019
## 201           0.2326839120
## 202           0.1340474886
## 203           0.7743304441
## 204           0.6151254554
## 205           0.1947166979
## 206           0.5837266354
## 207           0.0166669568
## 208           0.1884040710
## 209           0.1801752549
## 210           0.3457829468
## 211           0.8262246725
## 212           0.7345399522
## 213           0.5339701013
## 214           0.3789681180
## 215           0.4792830385
## 216           1.0000000000
## 217           0.3516148359
## 218           0.8594343031
## 219           0.7880273589
## 220           0.9658832647
## 221           1.0000000000
## 222           0.0283301405
## 223           0.0334166247
## 224           0.6461328707
## 225           0.7267236316
## 226           1.0000000000
## 227           0.2410594331
## 228           0.2450647290
## 229           1.0000000000
## 230           0.9368532769
## 231           1.0000000000
## 232           0.2510439135
## 233           0.4755134190
## 234           0.2320589393
## 235           0.1505841821
## 236           0.1245526383
## 237           0.0841873686
## 238           0.2376082047
## 239           1.0000000000
## 240           0.0956638465
## 241           0.1144094955
## 242           0.3285664397
## 243           0.5176698605
## 244           0.0294285612
## 245           0.8365409769
## 246           1.0000000000
## 247           0.0049261206
## 248           0.1180380137
## 249           1.0000000000
## 250           1.0000000000
## 251           0.0751473886
## 252           0.0011700077
## 253           0.0636741684
## 254           0.8355065060
## 255           1.0000000000
## 256           0.0979582282
## 257           0.0095243673
## 258           0.0011233514
## 259           1.0000000000
## 260           0.8197608104
## 261           0.1392590271
## 262           1.0000000000
## 263           0.2298164248
## 264           0.8633864054
## 265           0.7403476123
## 266           0.0326340282
## 267           0.3507643511
## 268           0.2440254337
## 269           0.7778295775
## 270           0.0045959361
## 271           1.0000000000
## 272           0.4276326756
## 273           0.1042118914
## 274           0.3380105552
## 275           0.0308693830
## 276           0.1618342645
## 277           0.0739694540
## 278           0.0538829923
## 279           0.0579055339
## 280           0.0344200749
## 281           0.0193006307
## 282           0.6445098979
## 283           0.2506961732
## 284           0.2259422773
## 285           0.0239727751
## 286           0.8011204477
## 287           0.6700069553
## 288           0.0997503480
## 289           1.0000000000
## 290           0.0105846538
## 291           0.2351135572
## 292           0.4936632176
## 293           0.3963162771
## 294           0.2529510897
## 295           0.0343181782
## 296           0.3124076273
## 297           0.1470080448
## 298           0.5538036049
## 299           0.2546841046
## 300           0.1236118419
## 301           0.8804639441
## 302           0.2490920566
## 303           0.8455992580
## 304           0.5466069342
## 305           0.0295448126
## 306           0.6878508129
## 307           0.0193928114
## 308           0.3836036999
## 309           0.0759847473
## 310           0.9202335611
## 311           0.0065195498
## 312           0.0009636872
## 313           0.1143267122
## 314           0.4352799991
## 315           1.0000000000
## 316           0.1261795445
## 317           1.0000000000
## 318           0.8939014967
## 319           0.1246163310
## 320           0.0353528584
## 321           0.0118520219
## 322           0.4442409190
## 323           0.8183230056
## 324           0.0330242342
## 325           0.2775998424
## 326           0.3034871072
## 327           0.9756340680
## 328           0.1997650948
## 329           0.5959533903
## 330           0.7751898734
## 331           0.3788674778
## 332           0.0623017278
## 333           0.0287029257
## 334           0.2521288237
## 335           0.2438043275
## 336           0.3361509255
## 337           0.0749909326
## 338           0.1761831000
## 339           0.7264254592
## 
## $artifacts$design_df
##        Sample  Age
## 1_1wk   1_1wk  1wk
## 1_4wk   1_4wk  4wk
## 1_16wk 1_16wk 16wk
## 1_32wk 1_32wk 32wk
## 1_52wk 1_52wk 52wk
## 2_32wk 2_32wk 32wk
## 2_4wk   2_4wk  4wk
## 2_1wk   2_1wk  1wk
## 2_16wk 2_16wk 16wk
## 2_52wk 2_52wk 52wk
## 3_4wk   3_4wk  4wk
## 3_1wk   3_1wk  1wk
## 3_52wk 3_52wk 52wk
## 3_16wk 3_16wk 16wk
## 3_32wk 3_32wk 32wk
## 4_1wk   4_1wk  1wk
## 4_16wk 4_16wk 16wk
## 4_4wk   4_4wk  4wk
## 4_32wk 4_32wk 32wk
## 4_52wk 4_52wk 52wk
## 5_32wk 5_32wk 32wk
## 5_52wk 5_52wk 52wk
## 5_1wk   5_1wk  1wk
## 5_4wk   5_4wk  4wk
## 5_16wk 5_16wk 16wk
## 
## $artifacts$formula
## [1] "~0 + Age"
## 
## $artifacts$contrasts
## [1] "Age1wk - Age4wk"
## 
## 
## $params
## $params$k1
## [1] 11
## 
## $params$k2
## [1] 11
## 
## $params$d1
## [1] 40
## 
## $params$d2
## [1] 40
## 
## $params$d3
## [1] 30
## 
## $params$prop
## [1] 0.2
## 
## $params$overlap
## [1] 1
## 
## $params$per_contrast
## [1] TRUE
## 
## $params$is_refined
## [1] TRUE
## 
## $params$refinement_scheme
## [1] "graph"
## 
## $params$adjustment
## [1] "BH"
## 
## $params$glmm
## [1] FALSE
## 
## $params$random_effect
## NULL
## 
## $params$glmm_solver
## [1] "Fisher"
## 
## $params$REML
## [1] TRUE
## 
## $params$max.iters
## [1] 50
## 
## $params$fail.on.error
## [1] FALSE
## 
## $params$seed
## [1] 2025
## 
## 
## $summary
## $summary$n_nhood_results
## [1] 339
## 
## $summary$n_samples
## [1] 25
## 
## 
## $created_at
## [1] "2026-08-30 10:11:45 CST"
## 
## $da_results
##           logFC   logCPM            F       PValue
## 1    0.30898235 13.77764 6.225506e-02 0.8029741404
## 2   -1.90613696 13.49367 1.881777e+00 0.1701777150
## 3    0.15892253 13.62763 1.202260e-02 0.9126920869
## 4   -0.92565436 13.61763 3.787353e-01 0.5466069277
## 5   -3.24154575 13.78463 4.951338e+00 0.0261032547
## 6   -1.86401277 13.78308 1.828533e+00 0.1763459652
## 7    1.06238803 13.71063 6.704197e-01 0.4129340959
## 8   -3.07214014 13.52167 4.656772e+00 0.0309662914
## 9   -0.05716276 13.47313 2.174914e-03 0.9628047372
## 10  -4.31005125 13.49738 8.408827e+00 0.0037460282
## 11  -0.58583386 13.49193 1.932042e-01 0.6602771084
## 12  -1.54697794 13.54854 1.373925e+00 0.2411799146
## 13  -0.62548534 13.61055 2.343423e-01 0.6283382054
## 14  -0.87364340 13.53510 4.482993e-01 0.5031664984
## 15  -0.31413049 13.74724 6.226893e-02 0.8029526548
## 16   0.00000000 13.53958 0.000000e+00 1.0000000000
## 17  -0.17357626 13.52712 1.867442e-02 0.8913080527
## 18  -1.87498088 13.67509 2.218369e+00 0.1364235529
## 19   1.18534653 13.58368 8.821441e-01 0.3476485575
## 20   1.73680048 13.64883 1.694486e+00 0.1930549120
## 21   3.76710384 13.63423 6.614807e+00 0.0101345317
## 22  -1.87544506 13.62591 2.284000e+00 0.1307609999
## 23  -0.61148315 13.40594 2.211956e-01 0.6381455557
## 24  -2.57488554 13.73203 3.048506e+00 0.0808567355
## 25  -3.80125603 13.66222 6.517674e+00 0.0107024688
## 26   0.71282463 13.64547 3.014664e-01 0.5829826331
## 27  -0.78187675 13.71333 3.616482e-01 0.5476124188
## 28   1.89913751 13.75141 2.087737e+00 0.1485320987
## 29  -1.84011337 13.69283 1.532680e+00 0.2157535073
## 30  -1.03728143 13.84318 6.666794e-01 0.4142404126
## 31   0.11485914 13.98842 9.353034e-03 0.9229586931
## 32  -2.34166108 13.90132 2.732656e+00 0.0983619652
## 33   0.67985803 13.83413 3.056155e-01 0.5804014350
## 34  -1.06136849 13.89741 6.718173e-01 0.4124475447
## 35  -1.66143087 13.69066 1.552877e+00 0.2351135572
## 36  -4.13384976 13.71524 7.365245e+00 0.0066664655
## 37  -0.85205264 13.51053 4.133111e-01 0.5203154060
## 38  -1.21338675 13.71454 5.688156e-01 0.4507561369
## 39   0.08621122 13.95960 4.744686e-03 0.9450858318
## 40   1.21039289 13.57501 8.502911e-01 0.3565028212
## 41  -1.87631286 13.57379 1.808834e+00 0.1786931909
## 42  -0.85478210 13.49017 4.186244e-01 0.5176461348
## 43   0.01465867 13.44670 1.193011e-04 0.9912855978
## 44  -3.62386677 13.45089 6.523401e+00 0.0106680936
## 45  -3.27942632 13.86024 5.121236e+00 0.0236662735
## 46   0.00000000 13.68601 0.000000e+00 1.0000000000
## 47  -1.65870438 13.56415 1.659694e+00 0.2351135572
## 48   0.00000000 13.51161 0.000000e+00 1.0000000000
## 49   0.16879868 13.78403 1.813737e-02 0.8928727963
## 50  -4.54499493 13.93165 8.879910e+00 0.0028934850
## 51  -1.72881523 13.67884 1.579732e+00 0.2088426439
## 52  -2.99117604 13.55100 4.704744e+00 0.0301141308
## 53   0.73513127 13.54483 3.395986e-01 0.5600804138
## 54  -0.48464491 13.46330 1.449680e-01 0.7034031768
## 55  -1.31566023 13.52143 1.393066e+00 0.2379293712
## 56  -0.40706079 13.40735 9.838895e-02 0.7537812400
## 57   0.56941687 13.47965 1.891931e-01 0.6636028946
## 58   0.10734614 13.95586 8.329844e-03 0.9272823590
## 59  -1.07940089 13.60238 6.673969e-01 0.4139893461
## 60  -0.32011331 13.44084 6.370998e-02 0.8007330886
## 61   0.00000000 13.68436 0.000000e+00 1.0000000000
## 62  -1.31557447 13.45526 1.431467e+00 0.2351135279
## 63  -3.77870434 13.64829 6.519140e+00 0.0106936618
## 64   0.00000000 13.50328 0.000000e+00 1.0000000000
## 65  -0.30830967 13.88128 5.921923e-02 0.8077416187
## 66  -4.39687316 13.71923 8.150628e+00 0.0043176902
## 67  -1.25109619 13.63437 7.790596e-01 0.3774601841
## 68  -1.41187505 13.44026 1.085928e+00 0.2974122653
## 69   2.56514727 13.46614 3.647819e+00 0.0561848343
## 70   0.00000000 13.64507 0.000000e+00 1.0000000000
## 71  -1.88872886 13.51332 2.012863e+00 0.1560166642
## 72   0.00000000 13.38681 0.000000e+00 1.0000000000
## 73  -0.96654043 13.60197 5.422483e-01 0.4615279288
## 74   0.00000000 13.71862 0.000000e+00 1.0000000000
## 75   0.16277509 13.61710 1.698348e-02 0.8963165707
## 76  -0.69648377 13.87234 3.221242e-01 0.5703526514
## 77  -3.37078919 13.61016 5.338709e+00 0.0208867779
## 78  -3.22936219 13.58885 5.038461e+00 0.0248226150
## 79  -2.42722965 13.66979 3.194005e+00 0.0739533680
## 80  -1.31543074 13.63071 1.358819e+00 0.2437832428
## 81  -1.87717763 13.80478 1.827679e+00 0.1764470127
## 82   0.00000000 13.58349 0.000000e+00 1.0000000000
## 83   0.00000000 13.62845 0.000000e+00 1.0000000000
## 84   0.00000000 13.53978 0.000000e+00 1.0000000000
## 85  -0.07191857 13.44069 3.452649e-03 0.9531456025
## 86   0.00000000 13.59596 0.000000e+00 1.0000000000
## 87   1.99703003 13.58198 2.349067e+00 0.1254046574
## 88   0.55439741 13.66428 1.845895e-01 0.6674720859
## 89   1.22419294 13.64753 8.827053e-01 0.3474952582
## 90  -3.85981770 13.55334 7.087596e+00 0.0077802493
## 91  -1.31566847 13.58517 1.395095e+00 0.2375879109
## 92   4.76235760 13.50817 9.965458e+00 0.0016020348
## 93  -1.99688181 13.66296 2.387855e+00 0.1223279929
## 94   2.91666287 13.41743 4.528832e+00 0.0333643289
## 95  -0.44269116 13.54200 1.243254e-01 0.7244007264
## 96   2.01599814 13.51948 2.312440e+00 0.1283890921
## 97  -3.26906121 13.53785 5.391008e+00 0.0202702592
## 98   1.72594265 13.63702 2.064652e+00 0.1507955240
## 99  -1.47202418 13.66303 1.119454e+00 0.2900737553
## 100  2.22320707 13.45012 2.759727e+00 0.0967109783
## 101  0.00000000 13.43539 0.000000e+00 1.0000000000
## 102  0.00000000 13.50409 0.000000e+00 1.0000000000
## 103 -1.74832915 13.81033 1.754306e+00 0.1853810060
## 104 -1.31579799 13.71033 7.821877e-01 0.3765042513
## 105 -2.36688818 13.53328 2.868302e+00 0.0903860628
## 106  0.43885833 13.55685 1.217118e-01 0.7271960990
## 107 -0.14745731 13.81156 1.466265e-02 0.9036237895
## 108 -3.49895858 13.55544 6.015744e+00 0.0142038138
## 109 -3.26288360 13.52032 5.205298e+00 0.0225490113
## 110  0.10161259 13.68506 6.186252e-03 0.9565571570
## 111 -2.58094758 13.43912 3.488393e+00 0.0618436715
## 112 -0.57776211 13.68886 1.818066e-01 0.6698387990
## 113  0.43808689 13.51600 1.140614e-01 0.7355772826
## 114  1.71957217 13.76278 1.785335e+00 0.1815403798
## 115 -0.85526212 13.59583 4.411022e-01 0.5066135176
## 116 -2.57412262 13.74069 3.190518e+00 0.0741112335
## 117  0.00000000 13.49479 0.000000e+00 1.0000000000
## 118  0.65636076 13.61012 2.522969e-01 0.6154787220
## 119  0.00000000 13.51832 0.000000e+00 1.0000000000
## 120 -2.57592246 13.42295 3.465731e+00 0.0626960392
## 121  1.05547040 13.52387 6.915930e-01 0.4056523573
## 122 -1.13741989 13.78688 7.138520e-01 0.3981978265
## 123 -1.53977902 13.45767 1.325172e+00 0.2497066194
## 124 -0.13789659 13.47804 5.809151e-03 0.9392480811
## 125 -3.94764725 13.39424 7.897700e+00 0.0049639617
## 126 -2.20652700 14.13848 2.368394e+00 0.1238610372
## 127  2.46901875 13.51993 3.281027e+00 0.0701293072
## 128  4.56302252 13.45845 9.475418e+00 0.0020907528
## 129 -3.20468825 13.56003 5.248073e+00 0.0220016304
## 130 -1.24873513 13.54404 1.350427e+00 0.2452443336
## 131 -0.43051228 13.42631 1.194871e-01 0.7296021134
## 132  0.00000000 13.63423 0.000000e+00 1.0000000000
## 133 -0.17286653 13.74265 1.875158e-02 0.8910851234
## 134  0.12891467 13.50509 1.105622e-02 0.9162610435
## 135  0.00000000 14.04518 0.000000e+00 1.0000000000
## 136 -1.00100355 13.43201 5.794680e-01 0.4465474065
## 137 -1.42273680 13.56908 1.117403e+00 0.2905160106
## 138 -1.94625441 13.73399 2.285606e+00 0.1306257396
## 139  0.00000000 13.55136 0.000000e+00 1.0000000000
## 140  0.03804163 13.56195 4.575435e-03 0.9460726478
## 141 -0.65719989 13.86171 2.434695e-01 0.6217274277
## 142 -3.94949512 13.59318 7.263389e+00 0.0070547910
## 143  0.54143801 13.50619 1.784281e-01 0.6727410196
## 144 -0.37406772 13.51319 8.835793e-02 0.7662842898
## 145 -3.52769161 13.64231 5.830998e+00 0.0157724846
## 146 -2.82522997 13.58344 3.914429e+00 0.0479136767
## 147 -2.71355433 13.80321 3.464247e+00 0.0627522949
## 148 -2.40752868 13.65672 3.190782e+00 0.0740992453
## 149 -0.52654232 13.82271 1.803118e-01 0.6711188628
## 150 -2.66984684 13.69927 3.476830e+00 0.0622770158
## 151 -3.51757414 13.52578 6.021980e+00 0.0141537612
## 152 -0.82345512 13.61441 3.999886e-01 0.5271164906
## 153 -0.56923983 13.67875 1.775067e-01 0.6735380998
## 154  3.40505697 13.52226 5.695708e+00 0.0170337107
## 155  0.00000000 13.50153 0.000000e+00 1.0000000000
## 156 -2.44172064 13.48247 3.406623e+00 0.0649787736
## 157  1.61864051 13.41433 1.544650e+00 0.2139699987
## 158  3.12035816 13.66797 4.833711e+00 0.0279421539
## 159 -2.38990623 13.54292 2.869234e+00 0.0903337814
## 160 -0.07031125 13.41277 3.398600e-03 0.9535133684
## 161 -1.24983497 13.64195 8.901423e-01 0.3454723568
## 162 -1.56940752 13.77526 1.255549e+00 0.2625349407
## 163 -4.06143494 13.88829 7.485774e+00 0.0062350224
## 164 -1.33698648 13.86218 1.349144e+00 0.2454687124
## 165 -1.33662302 13.70645 1.318547e+00 0.2508934441
## 166 -1.45342750 13.84808 1.286846e+00 0.2566701216
## 167 -1.15138805 13.56118 7.844221e-01 0.3758235301
## 168  1.36865121 13.71953 1.324760e+00 0.2497801323
## 169 -1.69837784 13.51527 1.493630e+00 0.2216965949
## 170 -1.53955965 13.65593 1.208879e+00 0.2715932279
## 171 -0.31574511 13.88660 6.508969e-02 0.7986328926
## 172 -0.42048423 13.51247 1.020384e-01 0.7494069115
## 173  0.00000000 13.70794 0.000000e+00 1.0000000000
## 174  0.04392314 13.55632 2.499763e-03 0.9601257463
## 175 -1.07826692 13.59432 6.380833e-01 0.4244336910
## 176 -3.13185706 13.56699 4.862113e+00 0.0274861413
## 177  2.27767180 13.57786 2.939585e+00 0.0864786471
## 178  0.00000000 13.80222 0.000000e+00 1.0000000000
## 179  3.74153522 13.62608 6.567182e+00 0.0104090271
## 180 -1.25358047 13.94693 1.256116e+00 0.2624272465
## 181 -3.94954323 13.58928 7.275358e+00 0.0070079844
## 182 -1.52750117 13.42415 1.281721e+00 0.2576192772
## 183  4.53082669 13.45381 9.523683e+00 0.0020365491
## 184  0.00000000 13.64417 0.000000e+00 1.0000000000
## 185 -4.63677049 13.53305 9.507793e+00 0.0020542347
## 186 -1.33676194 13.75370 1.333524e+00 0.2482200018
## 187  0.45869398 13.56051 1.329725e-01 0.7153811214
## 188 -1.31571639 13.56373 1.401112e+00 0.2365789880
## 189 -2.90410496 13.57654 4.360645e+00 0.0368155949
## 190 -1.27732629 13.54894 9.087419e-01 0.3404824352
## 191 -0.91835231 13.47739 5.039700e-01 0.4777853297
## 192  0.00000000 13.80537 0.000000e+00 1.0000000000
## 193 -0.37464165 13.66993 8.847414e-02 0.7661351139
## 194 -2.77266134 13.48646 4.148335e+00 0.0417142652
## 195  0.00000000 13.83672 0.000000e+00 1.0000000000
## 196  2.30381078 13.52103 2.872497e+00 0.0901508753
## 197 -0.55783698 13.57134 1.653240e-01 0.6843141916
## 198 -2.76088809 13.51103 4.095544e+00 0.0430355432
## 199  1.03525315 13.60980 6.568446e-01 0.4177045651
## 200 -1.30842799 13.57503 9.225281e-01 0.3368463019
## 201 -1.65184282 13.50101 1.424634e+00 0.2326839120
## 202 -1.88158957 13.82907 2.245531e+00 0.1340474886
## 203 -0.36833045 13.72669 8.221213e-02 0.7743304441
## 204  0.62880398 13.58713 2.528018e-01 0.6151254554
## 205  1.69009583 13.58386 1.681897e+00 0.1947166979
## 206  0.67745905 13.81410 3.002774e-01 0.5837266354
## 207  3.43196492 13.52587 5.733955e+00 0.0166669568
## 208 -1.86358405 13.62816 1.730402e+00 0.1884040710
## 209 -1.86398470 13.66434 1.796548e+00 0.1801752549
## 210  1.21974017 13.54584 8.889966e-01 0.3457829468
## 211 -0.28938405 13.71904 4.820422e-02 0.8262246725
## 212 -0.42723803 13.57691 1.149933e-01 0.7345399522
## 213  0.80517251 13.46214 3.868702e-01 0.5339701013
## 214 -1.09000453 13.90578 7.741478e-01 0.3789681180
## 215 -0.91669965 13.64604 5.005496e-01 0.4792830385
## 216  0.00000000 13.49761 0.000000e+00 1.0000000000
## 217 -1.22950239 13.76248 8.677402e-01 0.3516148359
## 218  0.21528167 13.41378 3.136478e-02 0.8594343031
## 219 -0.35634244 13.52859 7.229845e-02 0.7880273589
## 220  0.04851715 13.57385 1.829581e-03 0.9658832647
## 221  0.00000000 13.42775 0.000000e+00 1.0000000000
## 222 -3.10072377 13.61755 4.809924e+00 0.0283301405
## 223 -3.01964678 13.56730 4.526150e+00 0.0334166247
## 224 -0.61908142 13.48547 2.108293e-01 0.6461328707
## 225 -0.42938460 13.87815 1.221514e-01 0.7267236316
## 226  0.00000000 13.40892 0.000000e+00 1.0000000000
## 227 -1.24837564 13.45634 1.374628e+00 0.2410594331
## 228  1.36727897 13.85833 1.351456e+00 0.2450647290
## 229  0.00000000 13.78537 0.000000e+00 1.0000000000
## 230  0.11215585 13.43765 6.277143e-03 0.9368532769
## 231  0.00000000 13.66657 0.000000e+00 1.0000000000
## 232 -1.31627095 13.75876 1.317710e+00 0.2510439135
## 233 -0.94889390 13.43024 5.091920e-01 0.4755134190
## 234 -1.63980828 13.46556 1.428453e+00 0.2320589393
## 235 -2.06859665 13.61061 2.066790e+00 0.1505841821
## 236 -2.05297191 13.39390 2.359702e+00 0.1245526383
## 237 -2.26582310 13.39949 2.983026e+00 0.0841873686
## 238 -1.31566623 13.58556 1.394975e+00 0.2376082047
## 239  0.00000000 13.69667 0.000000e+00 1.0000000000
## 240  2.20220727 13.56852 2.777159e+00 0.0956638465
## 241 -1.98075636 13.54303 2.492872e+00 0.1144094955
## 242 -1.32979840 13.46732 9.546773e-01 0.3285664397
## 243 -0.83548140 13.51974 4.185770e-01 0.5176698605
## 244 -3.21703776 13.69463 4.744376e+00 0.0294285612
## 245  0.26073661 13.68221 4.257120e-02 0.8365409769
## 246  0.00000000 13.46182 0.000000e+00 1.0000000000
## 247 -4.26410628 13.79930 7.911559e+00 0.0049261206
## 248 -1.94547626 13.55522 2.443783e+00 0.1180380137
## 249  0.00000000 13.77484 0.000000e+00 1.0000000000
## 250  0.00000000 13.69342 0.000000e+00 1.0000000000
## 251 -2.44165423 13.69297 3.167820e+00 0.0751473886
## 252  4.91547331 13.54614 1.054609e+01 0.0011700077
## 253 -2.47814678 13.58956 3.440127e+00 0.0636741684
## 254 -0.29480525 13.44809 4.311958e-02 0.8355065060
## 255  0.00000000 13.45952 0.000000e+00 1.0000000000
## 256 -2.20812283 13.58750 2.739230e+00 0.0979582282
## 257 -3.80536109 13.86087 6.725588e+00 0.0095243673
## 258 -5.07638464 13.79962 1.062144e+01 0.0011233514
## 259  0.00000000 13.67408 0.000000e+00 1.0000000000
## 260  0.29068958 13.58925 5.192085e-02 0.8197608104
## 261 -2.10012989 13.66979 2.186642e+00 0.1392590271
## 262  0.00000000 13.74541 0.000000e+00 1.0000000000
## 263 -1.63946007 13.89494 1.442257e+00 0.2298164248
## 264 -0.22152673 13.54468 2.960862e-02 0.8633864054
## 265 -0.44400099 13.49555 1.098303e-01 0.7403476123
## 266 -3.04233111 13.66067 4.566750e+00 0.0326340282
## 267  1.29247040 13.79312 8.708102e-01 0.3507643511
## 268 -1.33650441 13.65793 1.357424e+00 0.2440254337
## 269 -0.38261307 13.66642 7.961416e-02 0.7778295775
## 270 -4.16536238 13.47636 8.037301e+00 0.0045959361
## 271  0.00000000 13.85562 0.000000e+00 1.0000000000
## 272 -1.08680272 13.54191 6.293198e-01 0.4276326756
## 273 -1.98050063 13.41423 2.640581e+00 0.1042118914
## 274  1.20220549 13.56375 9.180922e-01 0.3380105552
## 275  3.08727262 13.75638 4.662158e+00 0.0308693830
## 276 -1.86908815 13.60569 1.957429e+00 0.1618342645
## 277 -2.43229100 13.76114 3.193650e+00 0.0739694540
## 278 -2.66067396 13.53443 3.717613e+00 0.0538829923
## 279  2.57782107 13.54565 3.597599e+00 0.0579055339
## 280 -2.91995836 13.60660 4.475521e+00 0.0344200749
## 281 -3.43359249 13.65082 5.476684e+00 0.0193006307
## 282  0.59981879 13.52173 2.129113e-01 0.6445098979
## 283 -1.33659833 13.69892 1.319646e+00 0.2506961732
## 284 -1.68095504 13.51466 1.466492e+00 0.2259422773
## 285 -3.21644667 13.52154 5.098893e+00 0.0239727751
## 286  0.26322545 13.84464 6.345723e-02 0.8011204477
## 287 -0.53787263 13.52760 1.816098e-01 0.6700069553
## 288  2.11590794 13.66685 2.710272e+00 0.0997503480
## 289  0.00000000 13.99319 0.000000e+00 1.0000000000
## 290 -3.70223008 13.48070 6.537382e+00 0.0105846538
## 291 -1.66080445 13.45793 1.693337e+00 0.2351135572
## 292 -0.91775849 13.47710 4.685829e-01 0.4936632176
## 293 -1.16353159 13.69881 7.195659e-01 0.3963162771
## 294 -1.48886730 13.41388 1.307153e+00 0.2529510897
## 295 -2.96470911 13.54063 4.480592e+00 0.0343181782
## 296  1.25972948 13.40038 1.020622e+00 0.3124076273
## 297 -2.12188549 13.69891 2.103506e+00 0.1470080448
## 298 -0.79677606 13.39035 3.505820e-01 0.5538036049
## 299 -1.24773542 13.64418 1.297645e+00 0.2546841046
## 300 -1.98010596 13.66039 2.371539e+00 0.1236118419
## 301  0.19144852 13.69050 2.261618e-02 0.8804639441
## 302 -1.24830749 13.60613 1.328617e+00 0.2490920566
## 303  0.27093470 13.50957 4.569560e-02 0.8455992580
## 304 -1.07384031 13.56723 5.068467e-01 0.5466069342
## 305  3.11675308 13.58036 4.737588e+00 0.0295448126
## 306  0.50426850 13.43894 1.614357e-01 0.6878508129
## 307 -3.45029759 13.85775 5.468350e+00 0.0193928114
## 308 -1.16017641 13.66652 7.592196e-01 0.3836036999
## 309 -2.55004334 13.75221 3.149722e+00 0.0759847473
## 310  0.13424667 13.58796 1.002867e-02 0.9202335611
## 311 -3.79270158 13.39403 7.405370e+00 0.0065195498
## 312  5.17376692 13.63839 1.090563e+01 0.0009636872
## 313  2.08788166 13.53486 2.494012e+00 0.1143267122
## 314 -1.05980083 13.59877 6.087661e-01 0.4352799991
## 315  0.00000000 13.70726 0.000000e+00 1.0000000000
## 316 -1.95865407 13.83024 2.339465e+00 0.1261795445
## 317  0.00000000 13.52662 0.000000e+00 1.0000000000
## 318  0.16558678 13.77083 1.778865e-02 0.8939014967
## 319 -1.87605343 13.47984 2.358904e+00 0.1246163310
## 320 -2.99579054 13.54417 4.429824e+00 0.0353528584
## 321 -3.61169447 13.56815 6.336298e+00 0.0118520219
## 322 -1.08244734 13.67284 5.853721e-01 0.4442409190
## 323 -0.30604063 13.71216 5.276730e-02 0.8183230056
## 324 -3.00272346 13.56970 4.546381e+00 0.0330242342
## 325 -1.53203979 13.65326 1.178992e+00 0.2775998424
## 326 -1.36066455 13.53968 1.058969e+00 0.3034871072
## 327 -0.01543818 13.62384 9.329385e-04 0.9756340680
## 328 -1.83011136 13.67637 1.644412e+00 0.1997650948
## 329 -0.68944662 13.45508 2.811690e-01 0.5959533903
## 330 -0.37171909 13.72996 8.156986e-02 0.7751898734
## 331 -1.19113831 13.67317 7.744748e-01 0.3788674778
## 332 -2.47809854 13.47457 3.476174e+00 0.0623017278
## 333  3.09751207 13.49352 4.787386e+00 0.0287029257
## 334 -1.24802971 13.62387 1.311693e+00 0.2521288237
## 335  1.57809424 13.49597 1.358698e+00 0.2438043275
## 336 -1.26845475 13.50243 9.251873e-01 0.3361509255
## 337  2.44475662 13.59264 3.171226e+00 0.0749909326
## 338 -1.80624811 13.56742 1.829912e+00 0.1761831000
## 339 -0.44342172 13.53989 1.224292e-01 0.7264254592
##           FDR Nhood SpatialFDR        contrast
## 1   1.0000000     1  1.0000000 Age1wk - Age4wk
## 2   0.5016543     2  0.5174654 Age1wk - Age4wk
## 3   1.0000000     3  1.0000000 Age1wk - Age4wk
## 4   0.8515624     4  0.8711589 Age1wk - Age4wk
## 5   0.2047089     5  0.2108180 Age1wk - Age4wk
## 6   0.5069113     6  0.5246127 Age1wk - Age4wk
## 7   0.7164668     7  0.7390460 Age1wk - Age4wk
## 8   0.2047089     8  0.2108180 Age1wk - Age4wk
## 9   1.0000000     9  1.0000000 Age1wk - Age4wk
## 10  0.1294448    10  0.1296490 Age1wk - Age4wk
## 11  0.9513726    11  0.9651099 Age1wk - Age4wk
## 12  0.5390922    12  0.5488093 Age1wk - Age4wk
## 13  0.9301601    13  0.9512893 Age1wk - Age4wk
## 14  0.8161409    14  0.8340011 Age1wk - Age4wk
## 15  1.0000000    15  1.0000000 Age1wk - Age4wk
## 16  1.0000000    16  1.0000000 Age1wk - Age4wk
## 17  1.0000000    17  1.0000000 Age1wk - Age4wk
## 18  0.4322204    18  0.4461411 Age1wk - Age4wk
## 19  0.6547381    19  0.6625748 Age1wk - Age4wk
## 20  0.5277872    20  0.5488093 Age1wk - Age4wk
## 21  0.1395437    21  0.1515522 Age1wk - Age4wk
## 22  0.4221712    22  0.4350017 Age1wk - Age4wk
## 23  0.9405711    23  0.9570125 Age1wk - Age4wk
## 24  0.3384004    24  0.3490185 Age1wk - Age4wk
## 25  0.1395437    25  0.1515522 Age1wk - Age4wk
## 26  0.8834077    26  0.9036704 Age1wk - Age4wk
## 27  0.8515624    27  0.8711589 Age1wk - Age4wk
## 28  0.4564257    28  0.4755424 Age1wk - Age4wk
## 29  0.5390922    29  0.5488093 Age1wk - Age4wk
## 30  0.7164668    30  0.7390460 Age1wk - Age4wk
## 31  1.0000000    31  1.0000000 Age1wk - Age4wk
## 32  0.3704967    32  0.3781165 Age1wk - Age4wk
## 33  0.8834077    33  0.9034535 Age1wk - Age4wk
## 34  0.7164668    34  0.7390460 Age1wk - Age4wk
## 35  0.5390922    35  0.5488093 Age1wk - Age4wk
## 36  0.1328652    36  0.1365070 Age1wk - Age4wk
## 37  0.8281076    37  0.8451428 Age1wk - Age4wk
## 38  0.7527405    38  0.7705335 Age1wk - Age4wk
## 39  1.0000000    39  1.0000000 Age1wk - Age4wk
## 40  0.6604069    40  0.6728621 Age1wk - Age4wk
## 41  0.5086131    41  0.5279530 Age1wk - Age4wk
## 42  0.8277834    42  0.8451428 Age1wk - Age4wk
## 43  1.0000000    43  1.0000000 Age1wk - Age4wk
## 44  0.1395437    44  0.1515522 Age1wk - Age4wk
## 45  0.2031693    45  0.2108180 Age1wk - Age4wk
## 46  1.0000000    46  1.0000000 Age1wk - Age4wk
## 47  0.5390922    47  0.5488093 Age1wk - Age4wk
## 48  1.0000000    48  1.0000000 Age1wk - Age4wk
## 49  1.0000000    49  1.0000000 Age1wk - Age4wk
## 50  0.1226114    50  0.1296490 Age1wk - Age4wk
## 51  0.5390922    51  0.5488093 Age1wk - Age4wk
## 52  0.2047089    52  0.2108180 Age1wk - Age4wk
## 53  0.8630330    53  0.8772666 Age1wk - Age4wk
## 54  0.9812909    54  0.9831615 Age1wk - Age4wk
## 55  0.5390922    55  0.5488093 Age1wk - Age4wk
## 56  1.0000000    56  0.9949737 Age1wk - Age4wk
## 57  0.9513726    57  0.9651099 Age1wk - Age4wk
## 58  1.0000000    58  1.0000000 Age1wk - Age4wk
## 59  0.7164668    59  0.7390460 Age1wk - Age4wk
## 60  1.0000000    60  1.0000000 Age1wk - Age4wk
## 61  1.0000000    61  1.0000000 Age1wk - Age4wk
## 62  0.5390922    62  0.5488093 Age1wk - Age4wk
## 63  0.1395437    63  0.1515522 Age1wk - Age4wk
## 64  1.0000000    64  1.0000000 Age1wk - Age4wk
## 65  1.0000000    65  1.0000000 Age1wk - Age4wk
## 66  0.1294448    66  0.1296490 Age1wk - Age4wk
## 67  0.6833521    67  0.6958646 Age1wk - Age4wk
## 68  0.5965844    68  0.6052819 Age1wk - Age4wk
## 69  0.2976040    69  0.2946432 Age1wk - Age4wk
## 70  1.0000000    70  1.0000000 Age1wk - Age4wk
## 71  0.4680500    71  0.4875123 Age1wk - Age4wk
## 72  1.0000000    72  1.0000000 Age1wk - Age4wk
## 73  0.7669508    73  0.7856152 Age1wk - Age4wk
## 74  1.0000000    74  1.0000000 Age1wk - Age4wk
## 75  1.0000000    75  1.0000000 Age1wk - Age4wk
## 76  0.8748848    76  0.8907601 Age1wk - Age4wk
## 77  0.1966838    77  0.2108180 Age1wk - Age4wk
## 78  0.2047089    78  0.2108180 Age1wk - Age4wk
## 79  0.3219854    79  0.3303003 Age1wk - Age4wk
## 80  0.5390922    80  0.5488093 Age1wk - Age4wk
## 81  0.5069113    81  0.5246127 Age1wk - Age4wk
## 82  1.0000000    82  1.0000000 Age1wk - Age4wk
## 83  1.0000000    83  1.0000000 Age1wk - Age4wk
## 84  1.0000000    84  1.0000000 Age1wk - Age4wk
## 85  1.0000000    85  1.0000000 Age1wk - Age4wk
## 86  1.0000000    86  1.0000000 Age1wk - Age4wk
## 87  0.4193614    87  0.4295266 Age1wk - Age4wk
## 88  0.9513726    88  0.9651099 Age1wk - Age4wk
## 89  0.6547381    89  0.6625748 Age1wk - Age4wk
## 90  0.1388160    90  0.1440254 Age1wk - Age4wk
## 91  0.5390922    91  0.5488093 Age1wk - Age4wk
## 92  0.1012522    92  0.1035243 Age1wk - Age4wk
## 93  0.4193614    93  0.4295266 Age1wk - Age4wk
## 94  0.2047089    94  0.2108180 Age1wk - Age4wk
## 95  0.9933137    95  0.9927464 Age1wk - Age4wk
## 96  0.4221712    96  0.4324996 Age1wk - Age4wk
## 97  0.1963319    97  0.2108180 Age1wk - Age4wk
## 98  0.4564257    98  0.4755424 Age1wk - Age4wk
## 99  0.5862198    99  0.5986355 Age1wk - Age4wk
## 100 0.3704967   100  0.3781165 Age1wk - Age4wk
## 101 1.0000000   101  1.0000000 Age1wk - Age4wk
## 102 1.0000000   102  1.0000000 Age1wk - Age4wk
## 103 0.5151161   103  0.5378106 Age1wk - Age4wk
## 104 0.6833521   104  0.6958646 Age1wk - Age4wk
## 105 0.3562892   105  0.3621768 Age1wk - Age4wk
## 106 0.9933137   106  0.9927464 Age1wk - Age4wk
## 107 1.0000000   107  1.0000000 Age1wk - Age4wk
## 108 0.1660377   108  0.1757241 Age1wk - Age4wk
## 109 0.2011609   109  0.2108180 Age1wk - Age4wk
## 110 1.0000000   110  1.0000000 Age1wk - Age4wk
## 111 0.3039004   111  0.3010781 Age1wk - Age4wk
## 112 0.9513726   112  0.9651099 Age1wk - Age4wk
## 113 0.9934689   113  0.9927464 Age1wk - Age4wk
## 114 0.5086131   114  0.5300257 Age1wk - Age4wk
## 115 0.8178190   115  0.8364714 Age1wk - Age4wk
## 116 0.3219854   116  0.3303003 Age1wk - Age4wk
## 117 1.0000000   117  1.0000000 Age1wk - Age4wk
## 118 0.9191510   118  0.9399306 Age1wk - Age4wk
## 119 1.0000000   119  1.0000000 Age1wk - Age4wk
## 120 0.3039004   120  0.3010781 Age1wk - Age4wk
## 121 0.7162299   121  0.7343263 Age1wk - Age4wk
## 122 0.7067490   122  0.7246676 Age1wk - Age4wk
## 123 0.5390922   123  0.5488093 Age1wk - Age4wk
## 124 1.0000000   124  1.0000000 Age1wk - Age4wk
## 125 0.1294448   125  0.1296490 Age1wk - Age4wk
## 126 0.4193614   126  0.4295266 Age1wk - Age4wk
## 127 0.3219854   127  0.3227886 Age1wk - Age4wk
## 128 0.1012522   128  0.1035243 Age1wk - Age4wk
## 129 0.2011609   129  0.2108180 Age1wk - Age4wk
## 130 0.5390922   130  0.5488093 Age1wk - Age4wk
## 131 0.9933137   131  0.9927464 Age1wk - Age4wk
## 132 1.0000000   132  1.0000000 Age1wk - Age4wk
## 133 1.0000000   133  1.0000000 Age1wk - Age4wk
## 134 1.0000000   134  1.0000000 Age1wk - Age4wk
## 135 1.0000000   135  1.0000000 Age1wk - Age4wk
## 136 0.7494038   136  0.7662373 Age1wk - Age4wk
## 137 0.5862198   137  0.5986355 Age1wk - Age4wk
## 138 0.4221712   138  0.4350017 Age1wk - Age4wk
## 139 1.0000000   139  1.0000000 Age1wk - Age4wk
## 140 1.0000000   140  1.0000000 Age1wk - Age4wk
## 141 0.9244105   141  0.9452524 Age1wk - Age4wk
## 142 0.1328652   142  0.1365070 Age1wk - Age4wk
## 143 0.9513726   143  0.9651099 Age1wk - Age4wk
## 144 1.0000000   144  1.0000000 Age1wk - Age4wk
## 145 0.1782291   145  0.1901915 Age1wk - Age4wk
## 146 0.2619796   146  0.2594111 Age1wk - Age4wk
## 147 0.3039004   147  0.3010781 Age1wk - Age4wk
## 148 0.3219854   148  0.3303003 Age1wk - Age4wk
## 149 0.9513726   149  0.9651099 Age1wk - Age4wk
## 150 0.3039004   150  0.3010781 Age1wk - Age4wk
## 151 0.1660377   151  0.1757241 Age1wk - Age4wk
## 152 0.8350116   152  0.8532802 Age1wk - Age4wk
## 153 0.9513726   153  0.9651099 Age1wk - Age4wk
## 154 0.1804509   154  0.1911862 Age1wk - Age4wk
## 155 1.0000000   155  1.0000000 Age1wk - Age4wk
## 156 0.3059417   156  0.3015523 Age1wk - Age4wk
## 157 0.5390922   157  0.5488093 Age1wk - Age4wk
## 158 0.2047089   158  0.2108180 Age1wk - Age4wk
## 159 0.3562892   159  0.3621768 Age1wk - Age4wk
## 160 1.0000000   160  1.0000000 Age1wk - Age4wk
## 161 0.6547381   161  0.6625748 Age1wk - Age4wk
## 162 0.5426789   162  0.5543823 Age1wk - Age4wk
## 163 0.1328652   163  0.1365070 Age1wk - Age4wk
## 164 0.5390922   164  0.5488093 Age1wk - Age4wk
## 165 0.5390922   165  0.5488093 Age1wk - Age4wk
## 166 0.5390922   166  0.5488093 Age1wk - Age4wk
## 167 0.6833521   167  0.6958646 Age1wk - Age4wk
## 168 0.5390922   168  0.5488093 Age1wk - Age4wk
## 169 0.5390922   169  0.5488093 Age1wk - Age4wk
## 170 0.5580006   170  0.5712136 Age1wk - Age4wk
## 171 1.0000000   171  1.0000000 Age1wk - Age4wk
## 172 1.0000000   172  0.9949737 Age1wk - Age4wk
## 173 1.0000000   173  1.0000000 Age1wk - Age4wk
## 174 1.0000000   174  1.0000000 Age1wk - Age4wk
## 175 0.7266819   175  0.7486393 Age1wk - Age4wk
## 176 0.2047089   176  0.2108180 Age1wk - Age4wk
## 177 0.3532080   177  0.3608202 Age1wk - Age4wk
## 178 1.0000000   178  1.0000000 Age1wk - Age4wk
## 179 0.1395437   179  0.1515522 Age1wk - Age4wk
## 180 0.5426789   180  0.5543823 Age1wk - Age4wk
## 181 0.1328652   181  0.1365070 Age1wk - Age4wk
## 182 0.5390922   182  0.5488093 Age1wk - Age4wk
## 183 0.1012522   183  0.1035243 Age1wk - Age4wk
## 184 1.0000000   184  1.0000000 Age1wk - Age4wk
## 185 0.1012522   185  0.1035243 Age1wk - Age4wk
## 186 0.5390922   186  0.5488093 Age1wk - Age4wk
## 187 0.9933137   187  0.9927464 Age1wk - Age4wk
## 188 0.5390922   188  0.5488093 Age1wk - Age4wk
## 189 0.2115337   189  0.2173355 Age1wk - Age4wk
## 190 0.6547381   190  0.6611470 Age1wk - Age4wk
## 191 0.7849128   191  0.8041576 Age1wk - Age4wk
## 192 1.0000000   192  1.0000000 Age1wk - Age4wk
## 193 1.0000000   193  1.0000000 Age1wk - Age4wk
## 194 0.2356856   194  0.2363220 Age1wk - Age4wk
## 195 1.0000000   195  1.0000000 Age1wk - Age4wk
## 196 0.3562892   196  0.3621768 Age1wk - Age4wk
## 197 0.9625830   197  0.9685744 Age1wk - Age4wk
## 198 0.2391647   198  0.2382813 Age1wk - Age4wk
## 199 0.7187911   199  0.7418921 Age1wk - Age4wk
## 200 0.6547381   200  0.6595244 Age1wk - Age4wk
## 201 0.5390922   201  0.5488093 Age1wk - Age4wk
## 202 0.4286990   202  0.4427614 Age1wk - Age4wk
## 203 1.0000000   203  1.0000000 Age1wk - Age4wk
## 204 0.9191510   204  0.9399306 Age1wk - Age4wk
## 205 0.5280717   205  0.5488093 Age1wk - Age4wk
## 206 0.8834077   206  0.9036704 Age1wk - Age4wk
## 207 0.1804509   207  0.1911862 Age1wk - Age4wk
## 208 0.5192600   208  0.5403206 Age1wk - Age4wk
## 209 0.5086131   209  0.5287291 Age1wk - Age4wk
## 210 0.6547381   210  0.6625748 Age1wk - Age4wk
## 211 1.0000000   211  1.0000000 Age1wk - Age4wk
## 212 0.9934689   212  0.9927464 Age1wk - Age4wk
## 213 0.8419343   213  0.8591986 Age1wk - Age4wk
## 214 0.6833521   214  0.6958646 Age1wk - Age4wk
## 215 0.7849128   215  0.8041576 Age1wk - Age4wk
## 216 1.0000000   216  1.0000000 Age1wk - Age4wk
## 217 0.6549309   217  0.6662429 Age1wk - Age4wk
## 218 1.0000000   218  1.0000000 Age1wk - Age4wk
## 219 1.0000000   219  1.0000000 Age1wk - Age4wk
## 220 1.0000000   220  1.0000000 Age1wk - Age4wk
## 221 1.0000000   221  1.0000000 Age1wk - Age4wk
## 222 0.2047089   222  0.2108180 Age1wk - Age4wk
## 223 0.2047089   223  0.2108180 Age1wk - Age4wk
## 224 0.9441338   224  0.9600572 Age1wk - Age4wk
## 225 0.9933137   225  0.9927464 Age1wk - Age4wk
## 226 1.0000000   226  1.0000000 Age1wk - Age4wk
## 227 0.5390922   227  0.5488093 Age1wk - Age4wk
## 228 0.5390922   228  0.5488093 Age1wk - Age4wk
## 229 1.0000000   229  1.0000000 Age1wk - Age4wk
## 230 1.0000000   230  1.0000000 Age1wk - Age4wk
## 231 1.0000000   231  1.0000000 Age1wk - Age4wk
## 232 0.5390922   232  0.5488093 Age1wk - Age4wk
## 233 0.7849128   233  0.8041576 Age1wk - Age4wk
## 234 0.5390922   234  0.5488093 Age1wk - Age4wk
## 235 0.4564257   235  0.4755424 Age1wk - Age4wk
## 236 0.4193614   236  0.4295266 Age1wk - Age4wk
## 237 0.3480429   237  0.3537779 Age1wk - Age4wk
## 238 0.5390922   238  0.5488093 Age1wk - Age4wk
## 239 1.0000000   239  1.0000000 Age1wk - Age4wk
## 240 0.3704967   240  0.3779342 Age1wk - Age4wk
## 241 0.4126045   241  0.4230634 Age1wk - Age4wk
## 242 0.6475815   242  0.6531982 Age1wk - Age4wk
## 243 0.8277834   243  0.8451428 Age1wk - Age4wk
## 244 0.2047089   244  0.2108180 Age1wk - Age4wk
## 245 1.0000000   245  1.0000000 Age1wk - Age4wk
## 246 1.0000000   246  1.0000000 Age1wk - Age4wk
## 247 0.1294448   247  0.1296490 Age1wk - Age4wk
## 248 0.4193614   248  0.4295266 Age1wk - Age4wk
## 249 1.0000000   249  1.0000000 Age1wk - Age4wk
## 250 1.0000000   250  1.0000000 Age1wk - Age4wk
## 251 0.3219854   251  0.3303003 Age1wk - Age4wk
## 252 0.1012522   252  0.1035243 Age1wk - Age4wk
## 253 0.3040217   253  0.3010781 Age1wk - Age4wk
## 254 1.0000000   254  1.0000000 Age1wk - Age4wk
## 255 1.0000000   255  1.0000000 Age1wk - Age4wk
## 256 0.3704967   256  0.3781165 Age1wk - Age4wk
## 257 0.1395437   257  0.1515522 Age1wk - Age4wk
## 258 0.1012522   258  0.1035243 Age1wk - Age4wk
## 259 1.0000000   259  1.0000000 Age1wk - Age4wk
## 260 1.0000000   260  1.0000000 Age1wk - Age4wk
## 261 0.4371186   261  0.4523858 Age1wk - Age4wk
## 262 1.0000000   262  1.0000000 Age1wk - Age4wk
## 263 0.5390922   263  0.5488093 Age1wk - Age4wk
## 264 1.0000000   264  1.0000000 Age1wk - Age4wk
## 265 0.9959438   265  0.9949737 Age1wk - Age4wk
## 266 0.2047089   266  0.2108180 Age1wk - Age4wk
## 267 0.6549309   267  0.6662429 Age1wk - Age4wk
## 268 0.5390922   268  0.5488093 Age1wk - Age4wk
## 269 1.0000000   269  1.0000000 Age1wk - Age4wk
## 270 0.1294448   270  0.1296490 Age1wk - Age4wk
## 271 1.0000000   271  1.0000000 Age1wk - Age4wk
## 272 0.7284798   272  0.7486393 Age1wk - Age4wk
## 273 0.3839982   273  0.3939420 Age1wk - Age4wk
## 274 0.6547381   274  0.6595244 Age1wk - Age4wk
## 275 0.2047089   275  0.2108180 Age1wk - Age4wk
## 276 0.4812440   276  0.5001279 Age1wk - Age4wk
## 277 0.3219854   277  0.3303003 Age1wk - Age4wk
## 278 0.2899418   278  0.2874111 Age1wk - Age4wk
## 279 0.3019996   279  0.3007969 Age1wk - Age4wk
## 280 0.2047089   280  0.2108180 Age1wk - Age4wk
## 281 0.1933577   281  0.2092038 Age1wk - Age4wk
## 282 0.9441338   282  0.9600572 Age1wk - Age4wk
## 283 0.5390922   283  0.5488093 Age1wk - Age4wk
## 284 0.5390922   284  0.5488093 Age1wk - Age4wk
## 285 0.2031693   285  0.2108180 Age1wk - Age4wk
## 286 1.0000000   286  1.0000000 Age1wk - Age4wk
## 287 0.9513726   287  0.9651099 Age1wk - Age4wk
## 288 0.3715975   288  0.3815324 Age1wk - Age4wk
## 289 1.0000000   289  1.0000000 Age1wk - Age4wk
## 290 0.1395437   290  0.1515522 Age1wk - Age4wk
## 291 0.5390922   291  0.5488093 Age1wk - Age4wk
## 292 0.8045761   292  0.8229023 Age1wk - Age4wk
## 293 0.7067490   293  0.7228042 Age1wk - Age4wk
## 294 0.5390922   294  0.5488093 Age1wk - Age4wk
## 295 0.2047089   295  0.2108180 Age1wk - Age4wk
## 296 0.6193344   296  0.6251441 Age1wk - Age4wk
## 297 0.4564257   297  0.4745536 Age1wk - Age4wk
## 298 0.8572576   298  0.8711589 Age1wk - Age4wk
## 299 0.5390922   299  0.5488093 Age1wk - Age4wk
## 300 0.4193614   300  0.4295266 Age1wk - Age4wk
## 301 1.0000000   301  1.0000000 Age1wk - Age4wk
## 302 0.5390922   302  0.5488093 Age1wk - Age4wk
## 303 1.0000000   303  1.0000000 Age1wk - Age4wk
## 304 0.8515624   304  0.8711589 Age1wk - Age4wk
## 305 0.2047089   305  0.2108180 Age1wk - Age4wk
## 306 0.9635596   306  0.9685744 Age1wk - Age4wk
## 307 0.1933577   307  0.2092038 Age1wk - Age4wk
## 308 0.6880511   308  0.7019225 Age1wk - Age4wk
## 309 0.3219854   309  0.3315943 Age1wk - Age4wk
## 310 1.0000000   310  1.0000000 Age1wk - Age4wk
## 311 0.1328652   311  0.1365070 Age1wk - Age4wk
## 312 0.1012522   312  0.1035243 Age1wk - Age4wk
## 313 0.4126045   313  0.4230634 Age1wk - Age4wk
## 314 0.7377996   314  0.7593725 Age1wk - Age4wk
## 315 1.0000000   315  1.0000000 Age1wk - Age4wk
## 316 0.4193614   316  0.4295266 Age1wk - Age4wk
## 317 1.0000000   317  1.0000000 Age1wk - Age4wk
## 318 1.0000000   318  1.0000000 Age1wk - Age4wk
## 319 0.4193614   319  0.4295266 Age1wk - Age4wk
## 320 0.2066314   320  0.2126535 Age1wk - Age4wk
## 321 0.1488087   321  0.1622165 Age1wk - Age4wk
## 322 0.7492421   322  0.7662373 Age1wk - Age4wk
## 323 1.0000000   323  1.0000000 Age1wk - Age4wk
## 324 0.2047089   324  0.2108180 Age1wk - Age4wk
## 325 0.5669057   325  0.5787362 Age1wk - Age4wk
## 326 0.6051890   326  0.6106283 Age1wk - Age4wk
## 327 1.0000000   327  1.0000000 Age1wk - Age4wk
## 328 0.5374632   328  0.5488093 Age1wk - Age4wk
## 329 0.8979031   329  0.9151157 Age1wk - Age4wk
## 330 1.0000000   330  1.0000000 Age1wk - Age4wk
## 331 0.6833521   331  0.6958646 Age1wk - Age4wk
## 332 0.3039004   332  0.3010781 Age1wk - Age4wk
## 333 0.2047089   333  0.2108180 Age1wk - Age4wk
## 334 0.5390922   334  0.5488093 Age1wk - Age4wk
## 335 0.5390922   335  0.5488093 Age1wk - Age4wk
## 336 0.6547381   336  0.6595244 Age1wk - Age4wk
## 337 0.3219854   337  0.3303003 Age1wk - Age4wk
## 338 0.5069113   338  0.5246127 Age1wk - Age4wk
## 339 0.9933137   339  0.9927464 Age1wk - Age4wk
##     PValue_adj_withinNhood
## 1             0.8029741404
## 2             0.1701777150
## 3             0.9126920869
## 4             0.5466069277
## 5             0.0261032547
## 6             0.1763459652
## 7             0.4129340959
## 8             0.0309662914
## 9             0.9628047372
## 10            0.0037460282
## 11            0.6602771084
## 12            0.2411799146
## 13            0.6283382054
## 14            0.5031664984
## 15            0.8029526548
## 16            1.0000000000
## 17            0.8913080527
## 18            0.1364235529
## 19            0.3476485575
## 20            0.1930549120
## 21            0.0101345317
## 22            0.1307609999
## 23            0.6381455557
## 24            0.0808567355
## 25            0.0107024688
## 26            0.5829826331
## 27            0.5476124188
## 28            0.1485320987
## 29            0.2157535073
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## 
## $design_df
##        Sample  Age
## 1_1wk   1_1wk  1wk
## 1_4wk   1_4wk  4wk
## 1_16wk 1_16wk 16wk
## 1_32wk 1_32wk 32wk
## 1_52wk 1_52wk 52wk
## 2_32wk 2_32wk 32wk
## 2_4wk   2_4wk  4wk
## 2_1wk   2_1wk  1wk
## 2_16wk 2_16wk 16wk
## 2_52wk 2_52wk 52wk
## 3_4wk   3_4wk  4wk
## 3_1wk   3_1wk  1wk
## 3_52wk 3_52wk 52wk
## 3_16wk 3_16wk 16wk
## 3_32wk 3_32wk 32wk
## 4_1wk   4_1wk  1wk
## 4_16wk 4_16wk 16wk
## 4_4wk   4_4wk  4wk
## 4_32wk 4_32wk 32wk
## 4_52wk 4_52wk 52wk
## 5_32wk 5_32wk 32wk
## 5_52wk 5_52wk 52wk
## 5_1wk   5_1wk  1wk
## 5_4wk   5_4wk  4wk
## 5_16wk 5_16wk 16wk
## 
## $formula
## [1] "~0 + Age"
## 
## $contrasts
## [1] "Age1wk - Age4wk"

22.3 Multi-contrast testing

Use per_contrast = FALSE to fit one model and test multiple contrasts jointly. Use per_contrast = TRUE to run each contrast and stack results.

contrasts <- c(
  "Age1wk - Age4wk",
  "Age4wk - Age16wk",
  "Age16wk - Age32wk",
  "Age32wk - Age52wk"
)

res2 <- RunMilo(
  sce = sce,
  sample_col = "Sample",
  condition_col = "Age",
  name = "milo_multi",
  contrasts = contrasts,
  per_contrast = TRUE,
  k1 = 11, k2 = 11, d1 = 40, d2 = 40, d3 = 40,
  prop = 0.2,
  refinement_scheme = "graph"
)

head(res2$da_results)
##        logFC   logCPM          F     PValue       FDR Nhood
## 1  0.3089824 13.77764 0.06225506 0.80297414 1.0000000     1
## 2 -1.9061370 13.49367 1.88177693 0.17017772 0.5016543     2
## 3  0.1589225 13.62763 0.01202260 0.91269209 1.0000000     3
## 4 -0.9256544 13.61763 0.37873529 0.54660693 0.8515624     4
## 5 -3.2415458 13.78463 4.95133825 0.02610325 0.2047089     5
## 6 -1.8640128 13.78308 1.82853346 0.17634597 0.5069113     6
##   SpatialFDR        contrast PValue_adj_withinNhood
## 1  1.0000000 Age1wk - Age4wk              0.9760593
## 2  0.5174654 Age1wk - Age4wk              0.4534587
## 3  1.0000000 Age1wk - Age4wk              0.9126921
## 4  0.8711589 Age1wk - Age4wk              0.5872073
## 5  0.2108180 Age1wk - Age4wk              0.1044130
## 6  0.5246127 Age1wk - Age4wk              0.7053839

22.4 GLMM (random intercept)

When samples are not independent (e.g., repeated measures), a random intercept can help control correlation structure.

library(scRNAseq)
library(scater)
library(scran)
library(scuttle)
library(sclet)

sce2 <- KotliarovPBMCData(mode = "rna", ensembl = FALSE)
colData(sce2)$ObsID <- paste(colData(sce2)$tenx_lane, colData(sce2)$sampleid, sep = "_")

set.seed(42)
keep_samps <- sample(unique(colData(sce2)$ObsID), size = 40)
sce2 <- sce2[, colData(sce2)$ObsID %in% keep_samps]

sce2 <- NormalizeData(sce2)
sce2 <- RunPCA(sce2, ncomponents = 30)
sce2 <- RunUMAP(sce2, dims = 1:30)

res3 <- RunMilo(
  sce = sce2,
  sample_col = "ObsID",
  condition_col = "adjmfc.time",
  name = "milo_glmm",
  contrasts = c("adjmfc.timed0 high"),
  glmm = TRUE,
  random_effect = "tenx_lane",
  k1 = 60, k2 = 60, d1 = 30, d2 = 30, d3 = 30,
  prop = 0.05,
  overlap = 25
)

head(res3$da_results)
##         logFC   logCPM        SE      tvalue       PValue
## 1  1.19435140 11.11520 0.3290811  3.62935286 0.0002865953
## 2 -0.56168036 10.58540 0.3573794 -1.57166428 0.1160791753
## 3 -0.03097665 12.08108 0.3677873 -0.08422435 0.9328812064
## 4 -1.43869690 10.56466 0.4392623 -3.27525725 0.0010556604
## 5  0.04402348 11.02846 0.3081513  0.14286319 0.8864021939
## 6  0.37239926 11.89417 0.3563047  1.04517090 0.2959728097
##   tenx_lane_variance Converged Logliklihood Nhood
## 1         0.00000001      TRUE     336.7219     1
## 2         0.01691159     FALSE     200.8855     2
## 3         0.00000001      TRUE     850.5434     3
## 4         1.92556215     FALSE     244.1509     4
## 5         0.00000001      TRUE     238.1128     5
## 6         0.09183497     FALSE     777.0794     6
##    SpatialFDR           contrast PValue_adj_withinNhood
## 1 0.002241052 adjmfc.timed0 high           0.0002865953
## 2 0.261372026 adjmfc.timed0 high           0.1160791753
## 3 0.958926664 adjmfc.timed0 high           0.9328812064
## 4 0.007276947 adjmfc.timed0 high           0.0010556604
## 5 0.933265549 adjmfc.timed0 high           0.8864021939
## 6 0.464927659 adjmfc.timed0 high           0.2959728097

22.5 Refit after dropping separated neighbourhoods

In GLMM mode, some neighbourhoods can show perfect separation and return unstable estimates. You can diagnose with miloR::checkSeparation() and refit after dropping those neighbourhoods.

If you keep multiple Milo runs in the same object, give them different name values and inspect a specific record with get_milo(sce, id = "your_id").

milo_info <- get_milo(res3$sce)
design_df <- milo_info$design_df

bad_hood <- which(miloR::checkSeparation(
  res3$milo,
  design.df = design_df,
  condition = "adjmfc.time",
  min.val = 10
))

refit <- refit_milo(
  milo = res3$milo,
  design_df = design_df,
  bad_hood = bad_hood,
  formula = milo_info$formula,
  contrasts = milo_info$contrasts,
  glmm = TRUE,
  old_results = res3$da_results
)

head(refit$da_clean)
##         logFC   logCPM        SE      tvalue       PValue
## 1  1.19429853 11.11520 0.3367312  3.54674193 0.0003932516
## 2 -0.55629640 10.58540 0.3511482 -1.58422097 0.1131917705
## 3 -0.03094956 12.08108 0.3698435 -0.08368285 0.9333117590
## 4 -1.44891207 10.56466 0.4437223 -3.26535813 0.0010932595
## 5  0.04402317 11.02846 0.3081512  0.14286226 0.8864029299
## 6  0.34323159 11.89417 0.3530372  0.97222489 0.3309706577
##   tenx_lane_variance Converged Logliklihood Nhood
## 1         0.00000001      TRUE     337.0783     1
## 2         0.02763260     FALSE     201.1437     2
## 3         0.00000001      TRUE     850.5353     3
## 4         2.18259985     FALSE     244.1253     4
## 5         0.00000001      TRUE     238.1128     5
## 6         0.10136612     FALSE     776.1873     6
##    SpatialFDR
## 1 0.003083933
## 2 0.254683335
## 3 0.960374531
## 4 0.007536128
## 5 0.930135391
## 6 0.507159943