15 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.

15.1 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).

15.2 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 
##   343
head(da)
##        logFC   logCPM          F     PValue       FDR Nhood
## 1 -0.4248810 13.66075 0.12423442 0.72449737 1.0000000     1
## 2 -1.1178226 13.37924 0.71801065 0.39682679 0.7519977     2
## 3  0.3680766 13.57295 0.08235778 0.77413595 1.0000000     3
## 4 -2.8623635 13.87550 4.13557017 0.04202933 0.2640309     4
## 5 -2.8294618 13.65808 4.27942341 0.03861381 0.2508434     5
## 6 -1.4177180 13.55053 1.21268563 0.27083953 0.6156011     6
##   SpatialFDR        contrast PValue_adj_withinNhood
## 1  1.0000000 Age1wk - Age4wk             0.72449737
## 2  0.7573074 Age1wk - Age4wk             0.39682679
## 3  1.0000000 Age1wk - Age4wk             0.77413595
## 4  0.2898203 Age1wk - Age4wk             0.04202933
## 5  0.2714430 Age1wk - Age4wk             0.03861381
## 6  0.6258870 Age1wk - Age4wk             0.27083953
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   -0.424880954 13.66075 1.242344e-01 0.7244973681
## 2   -1.117822619 13.37924 7.180106e-01 0.3968267906
## 3    0.368076626 13.57295 8.235778e-02 0.7741359491
## 4   -2.862363545 13.87550 4.135570e+00 0.0420293274
## 5   -2.829461820 13.65808 4.279423e+00 0.0386138100
## 6   -1.417717985 13.55053 1.212686e+00 0.2708395280
## 7    2.411644567 13.35979 3.431824e+00 0.0639943505
## 8   -1.528117211 13.49564 1.496937e+00 0.2211852757
## 9   -0.004906545 13.40558 3.366998e-05 0.9953704028
## 10  -3.980828065 13.38533 7.484133e+00 0.0062405123
## 11  -0.176192860 13.60726 1.845353e-02 0.8919487757
## 12  -1.473387179 13.39248 1.227972e+00 0.2678406963
## 13  -2.864754953 13.43724 4.330685e+00 0.0374681945
## 14  -0.665538997 13.55753 3.147359e-01 0.5748068106
## 15  -0.325235904 13.75332 8.294807e-02 0.7733500363
## 16  -1.204195394 13.64289 1.184139e+00 0.2765532447
## 17  -0.015332105 13.41399 1.214456e-04 0.9912076227
## 18   0.000000000 13.52487 0.000000e+00 1.0000000000
## 19   1.251604656 13.54059 1.141458e+00 0.2853819816
## 20   2.759813107 13.47791 4.429930e+00 0.0353502325
## 21   2.070528473 13.65160 2.930971e+00 0.0869404181
## 22  -2.579254060 13.39941 3.761596e+00 0.0524834302
## 23  -0.466985007 13.33484 1.312698e-01 0.7171302338
## 24   3.522365090 13.45113 6.494436e+00 0.0108428632
## 25  -1.772402042 13.71854 1.865492e+00 0.1720370671
## 26  -3.721712027 13.71345 6.797619e+00 0.0091477149
## 27   0.169448871 13.36126 1.342907e-02 0.9780272498
## 28   0.623537211 13.56022 2.695635e-01 0.6036414471
## 29  -0.032617153 13.43381 8.517471e-04 0.9767181269
## 30   0.441833833 13.52357 1.630629e-01 0.6863646865
## 31  -0.891295529 13.77306 5.564567e-01 0.4557169773
## 32  -1.482867854 13.65031 1.310430e+00 0.2523568330
## 33   0.253254184 13.99112 4.509472e-02 0.8318362578
## 34   0.761754415 13.34543 3.666721e-01 0.5448439125
## 35  -0.844614803 13.60263 4.263750e-01 0.5137949331
## 36   0.000000000 13.63346 0.000000e+00 1.0000000000
## 37  -2.574031743 13.61366 3.650923e+00 0.0560797826
## 38   0.744413041 13.42664 3.230858e-01 0.5697776543
## 39  -1.185717566 13.47918 1.220120e+00 0.2693758914
## 40   0.916331256 13.82054 6.419369e-01 0.4230380362
## 41  -0.251978393 13.54110 4.302831e-02 0.8356781395
## 42  -0.223363849 13.60682 3.314110e-02 0.8555512418
## 43  -0.057057273 13.46196 1.914739e-03 0.9780272575
## 44   0.518061348 13.38562 1.648353e-01 0.6847558982
## 45  -2.258750850 13.71189 3.091563e+00 0.0787437793
## 46  -1.838154533 13.36053 2.330569e+00 0.1269016175
## 47   0.000000000 13.52870 0.000000e+00 1.0000000000
## 48  -1.188698301 13.60336 1.181955e+00 0.2769966488
## 49   0.000000000 13.77713 0.000000e+00 1.0000000000
## 50  -1.185802257 13.48131 1.220819e+00 0.2692388196
## 51   0.373582963 13.81322 1.080639e-01 0.7423692419
## 52  -2.836136439 13.47682 4.313801e+00 0.0378415327
## 53  -1.246600777 13.55548 9.774095e-01 0.3228740661
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## 56   0.122787309 13.38286 9.275920e-03 0.9835147909
## 57  -1.202367177 13.46901 1.230838e+00 0.2678944184
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## 59   1.267997488 13.48212 1.000227e+00 0.3172909656
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## 61   0.098821777 13.37891 6.709147e-03 0.9347211625
## 62   0.000000000 13.36367 0.000000e+00 1.0000000000
## 63  -2.512702862 13.63493 3.318322e+00 0.0685552560
## 64  -1.201211763 13.38506 1.273519e+00 0.2678944184
## 65  -4.076428534 13.72174 7.893261e+00 0.0049759791
## 66   0.000000000 13.40962 0.000000e+00 1.0000000000
## 67   0.019982643 13.74482 2.888134e-04 0.9864414893
## 68  -3.751840144 13.53703 7.011996e+00 0.0081150618
## 69  -3.068945742 13.42384 4.871700e+00 0.0273335816
## 70   1.180128789 13.40490 8.257773e-01 0.3635283273
## 71  -1.189703306 13.71189 1.167362e+00 0.2799818373
## 72   3.214770613 13.38068 5.521875e+00 0.0188082991
## 73   0.000000000 13.91102 0.000000e+00 1.0000000000
## 74  -1.357412247 13.42397 9.793027e-01 0.3224059266
## 75   0.000000000 13.31744 0.000000e+00 1.0000000000
## 76  -4.050595281 13.92972 7.369754e+00 0.0066495952
## 77   0.000000000 13.45196 0.000000e+00 1.0000000000
## 78   0.350342673 13.43104 8.689270e-02 0.7681741709
## 79  -0.222803764 13.75660 3.938317e-02 0.8426973727
## 80  -3.145858560 13.54091 5.222271e+00 0.0223297923
## 81  -2.482608170 13.44524 3.350681e+00 0.0672205614
## 82  -1.204292534 13.66093 1.184224e+00 0.2765359354
## 83   0.000000000 13.44745 0.000000e+00 1.0000000000
## 84  -1.688098824 13.76266 1.701559e+00 0.1921279246
## 85  -3.703001112 13.51270 6.864023e+00 0.0088142054
## 86   0.000000000 13.49337 0.000000e+00 1.0000000000
## 87  -1.798180840 13.50322 2.198649e+00 0.1381776906
## 88  -2.242607368 13.45573 2.972439e+00 0.0847391255
## 89   0.125948815 13.39763 1.009465e-02 0.9505375356
## 90   0.000000000 13.51051 0.000000e+00 1.0000000000
## 91   1.689734201 13.90862 2.057984e+00 0.1514559101
## 92   0.531750415 13.53974 2.036327e-01 0.6518187452
## 93   1.392989067 13.50140 1.336013e+00 0.2477785104
## 94  -0.425620309 13.40358 8.643441e-02 0.7687688689
## 95   2.911714110 13.49798 5.019058e+00 0.0251016854
## 96  -0.103310636 13.51971 7.253509e-03 0.9321306865
## 97   4.645694875 13.41742 1.044808e+01 0.0012335734
## 98   2.276735586 13.48771 3.185481e+00 0.0743393180
## 99  -3.896827775 13.77632 7.154646e+00 0.0074947403
## 100  0.000000000 13.57378 0.000000e+00 1.0000000000
## 101  2.491426644 13.40460 3.521474e+00 0.0606209534
## 102  0.000000000 13.36593 0.000000e+00 1.0000000000
## 103  0.000000000 13.38795 0.000000e+00 1.0000000000
## 104 -1.429238917 13.74524 1.420977e+00 0.2332839513
## 105  0.000000000 13.50619 0.000000e+00 1.0000000000
## 106 -0.888319018 13.40719 4.502326e-01 0.5022470897
## 107  0.526410077 13.45027 1.797379e-01 0.6716119050
## 108 -2.188586199 13.52521 2.650146e+00 0.1035862918
## 109 -3.272433596 13.42831 5.256968e+00 0.0218891903
## 110 -3.744580182 13.42334 6.708405e+00 0.0096162420
## 111 -0.201206321 13.52823 2.425454e-02 0.8762435723
## 112  0.050160184 13.42569 3.295395e-03 0.9542238290
## 113 -0.883005823 13.61723 5.255705e-01 0.4684998110
## 114 -0.693284835 13.54719 3.044082e-01 0.5811499827
## 115  0.000000000 13.58075 0.000000e+00 1.0000000000
## 116 -0.223380264 13.49849 2.900204e-02 0.8647793384
## 117  0.000000000 13.40962 0.000000e+00 1.0000000000
## 118 -1.533255109 13.38229 1.294709e+00 0.2552217491
## 119  3.377092321 13.41682 6.023178e+00 0.0141438691
## 120 -1.193437091 13.72690 8.496784e-01 0.3566757461
## 121 -1.124099327 13.32192 7.625266e-01 0.3825695460
## 122  1.384943428 13.69011 1.370943e+00 0.2416906375
## 123 -0.828401318 13.50617 4.043823e-01 0.5248559278
## 124 -1.524385781 13.48467 1.377668e+00 0.2405395627
## 125 -1.472351651 13.52659 1.388312e+00 0.2387311787
## 126  0.000000000 13.99179 0.000000e+00 1.0000000000
## 127  2.629388104 13.45333 3.905975e+00 0.0481546893
## 128  3.915311769 13.56029 8.560569e+00 0.0034464866
## 129 -2.560054117 13.41227 3.705500e+00 0.0542747207
## 130 -3.438458368 13.73183 5.930068e+00 0.0149099714
## 131 -3.077919719 13.47893 4.773743e+00 0.0289306568
## 132  0.000000000 13.64616 0.000000e+00 1.0000000000
## 133  0.950328974 13.47432 5.979007e-01 0.4394067523
## 134  0.098538182 13.37656 6.685164e-03 0.9348376806
## 135  0.000000000 13.97159 0.000000e+00 1.0000000000
## 136 -1.324802122 13.53687 1.128667e+00 0.2880973078
## 137 -1.188718567 13.60745 1.179203e+00 0.2775565213
## 138 -1.186914885 13.51157 1.235116e+00 0.2678944176
## 139 -2.240457134 13.53597 3.034627e+00 0.0815501153
## 140  0.621646147 13.42053 2.428474e-01 0.6221728371
## 141  0.906703741 13.44685 4.227834e-01 0.5155731990
## 142 -2.595803093 13.53630 3.810811e+00 0.0509634212
## 143 -2.212850425 13.57491 2.636473e+00 0.1044811113
## 144 -1.189643431 13.70679 1.168879e+00 0.2796696834
## 145 -2.254301116 13.67604 2.958472e+00 0.0854737563
## 146 -0.399918474 13.77278 1.233487e-01 0.7254413918
## 147  0.381848164 13.71829 1.092489e-01 0.7410109769
## 148 -4.293656540 13.59428 8.650664e+00 0.0032803505
## 149 -1.171432575 13.37771 1.257888e+00 0.2678944172
## 150  0.002114379 13.74663 2.587379e-06 0.9987166236
## 151 -2.226398894 13.43367 2.955089e+00 0.0856526837
## 152 -1.209450348 13.32701 8.735057e-01 0.3500195087
## 153  3.565903263 13.46420 6.654877e+00 0.0099090918
## 154  0.000000000 13.45140 0.000000e+00 1.0000000000
## 155  0.000000000 13.66416 0.000000e+00 1.0000000000
## 156  0.362978077 13.54463 9.764261e-02 0.7546866450
## 157  3.886316627 13.61152 8.264505e+00 0.0040552053
## 158 -1.766103700 13.52619 1.828883e+00 0.1763041664
## 159 -0.501424028 13.44845 1.616602e-01 0.6876450759
## 160 -0.087440139 13.48441 6.541658e-03 0.9355393360
## 161  0.000000000 13.86004 0.000000e+00 1.0000000000
## 162 -1.202948077 13.53331 1.235690e+00 0.2678944183
## 163  0.126028336 13.70955 1.164433e-02 0.9140711029
## 164 -1.192014580 13.53860 9.281189e-01 0.3353861575
## 165 -1.502425869 13.45352 1.208040e+00 0.2717592080
## 166 -0.167468828 13.44055 1.763621e-02 0.8943543371
## 167 -1.628967656 13.34295 1.474342e+00 0.2247036814
## 168 -0.005158776 13.43394 6.185418e-04 0.9801589808
## 169  0.000000000 13.60817 0.000000e+00 1.0000000000
## 170  0.847656077 13.45467 4.587363e-01 0.4982380164
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## 172 -4.519928792 13.45216 9.125479e+00 0.0025300269
## 173  2.534663268 13.52782 4.092716e+00 0.0431070809
## 174  0.000000000 13.61327 0.000000e+00 1.0000000000
## 175  3.356959879 13.65586 6.710986e+00 0.0096023485
## 176 -1.821585953 13.95295 1.951183e+00 0.1625045704
## 177 -0.879703102 13.35995 4.520269e-01 0.5013966180
## 178  4.789226849 13.45815 1.105753e+01 0.0008879162
## 179 -4.596204439 13.50774 9.847491e+00 0.0017078414
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## 181 -1.201051210 13.33962 1.335467e+00 0.2678944184
## 182 -3.603619302 13.39472 6.268238e+00 0.0123151771
## 183 -0.294809578 13.50575 5.634568e-02 0.8123749416
## 184 -1.162697830 13.37973 8.025269e-01 0.3703703880
## 185  0.000000000 13.81226 0.000000e+00 1.0000000000
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## 187 -0.684553806 13.63758 3.057935e-01 0.5802910091
## 188  0.000000000 13.68603 0.000000e+00 1.0000000000
## 189  1.130379002 13.50436 8.718035e-01 0.3504893744
## 190 -0.272197146 13.63700 4.301713e-02 0.8356991819
## 191 -2.240781558 13.54103 3.034951e+00 0.0815338398
## 192  1.367062279 13.55996 1.341174e+00 0.2468673438
## 193 -0.275028185 13.45096 4.246819e-02 0.8367360063
## 194  1.371160152 13.70081 1.509263e+00 0.2192937441
## 195 -1.184995847 13.39601 7.734980e-01 0.3791679049
## 196 -1.918463089 13.62171 1.938475e+00 0.1638792936
## 197  0.000000000 13.51508 0.000000e+00 1.0000000000
## 198 -2.860601683 13.50740 4.462162e+00 0.0346896585
## 199  0.000000000 13.51397 0.000000e+00 1.0000000000
## 200  0.995836034 13.50286 6.735245e-01 0.4118540236
## 201 -1.004547699 13.55005 6.837056e-01 0.4083423957
## 202  1.884987801 13.51184 2.336406e+00 0.1264269397
## 203  1.023058942 13.76308 8.113541e-01 0.3677518407
## 204  3.464091303 13.45266 6.158488e+00 0.0131020605
## 205  0.000000000 13.74156 0.000000e+00 1.0000000000
## 206 -0.882980583 13.59076 4.654024e-01 0.4951329656
## 207 -1.402994531 13.49527 1.213124e+00 0.2707529850
## 208  1.978626874 13.46933 2.368934e+00 0.1238176360
## 209  0.967442992 13.77281 7.074300e-01 0.4003276345
## 210 -0.477408152 13.62649 1.578501e-01 0.6911559990
## 211  2.338989984 13.55734 3.275232e+00 0.0703767388
## 212  0.246223681 13.47759 4.032034e-02 0.8408614922
## 213  0.203306790 13.65588 2.853049e-02 0.8658726458
## 214 -3.095781503 13.38677 4.996528e+00 0.0254302673
## 215 -2.604552041 13.68583 3.717569e+00 0.0538839436
## 216 -1.288113019 13.64621 1.057889e+00 0.3037334699
## 217 -1.917488676 13.45381 2.019510e+00 0.1553346859
## 218  0.170826650 13.87011 2.274403e-02 0.8801290437
## 219 -2.227788316 13.45941 2.954295e+00 0.0856947784
## 220 -1.998653948 13.40175 2.233177e+00 0.1351218277
## 221 -1.262350106 13.78209 1.172869e+00 0.2788506707
## 222 -0.418667127 13.40831 1.051099e-01 0.7457915157
## 223  0.000000000 13.64325 0.000000e+00 1.0000000000
## 224  0.000000000 13.38399 0.000000e+00 1.0000000000
## 225  0.000000000 13.68194 0.000000e+00 1.0000000000
## 226  2.540943709 13.43549 3.628218e+00 0.0568493799
## 227  0.030120426 13.51820 2.286221e-03 0.9618655201
## 228 -1.804226187 13.45374 2.161012e+00 0.1415972887
## 229  0.000000000 13.41787 0.000000e+00 1.0000000000
## 230  0.089685702 13.45690 5.660558e-03 0.9400285969
## 231 -1.883063680 13.33688 1.981282e+00 0.1593006943
## 232 -2.488295910 13.54323 3.703201e+00 0.0543494965
## 233 -1.202093576 13.44827 1.226578e+00 0.2681124255
## 234  0.000000000 13.75786 0.000000e+00 1.0000000000
## 235 -2.555632030 13.44727 3.633433e+00 0.0566716255
## 236 -0.439113494 13.58434 1.389179e-01 0.7093706698
## 237  1.994304500 13.51333 2.650205e+00 0.1035824867
## 238 -0.690441808 13.57915 3.075520e-01 0.5792043308
## 239  0.916396683 13.72871 6.424639e-01 0.4228477645
## 240  0.298424457 13.41960 4.491505e-02 0.8321666153
## 241 -0.518479256 13.43662 1.681829e-01 0.6817446313
## 242 -4.605680901 13.75034 9.887286e+00 0.0016713512
## 243  0.000000000 13.78072 0.000000e+00 1.0000000000
## 244  0.000000000 13.36415 0.000000e+00 1.0000000000
## 245 -2.856727901 13.63482 4.313260e+00 0.0378535621
## 246  0.000000000 13.47492 0.000000e+00 1.0000000000
## 247 -3.436700504 13.67958 5.810328e+00 0.0159584625
## 248  5.164141698 13.56788 1.308519e+01 0.0002997796
## 249 -2.274918162 13.42886 3.038436e+00 0.0813590526
## 250  0.372717041 13.40032 8.789145e-02 0.7668840292
## 251  0.000000000 13.47219 0.000000e+00 1.0000000000
## 252 -1.839919711 13.44875 2.204737e+00 0.1376332700
## 253 -0.623790677 13.53936 2.322451e-01 0.6298794729
## 254 -3.245523233 13.33016 5.704720e+00 0.0169462337
## 255 -4.453097346 13.57873 9.392209e+00 0.0021875590
## 256  0.000000000 13.35504 0.000000e+00 1.0000000000
## 257  0.528970590 13.53670 1.985241e-01 0.6559288634
## 258 -1.383505065 13.64084 1.132693e+00 0.2872391837
## 259 -0.541950770 13.79529 2.180863e-01 0.6405167911
## 260  0.000000000 13.56247 0.000000e+00 1.0000000000
## 261 -1.565028125 13.85595 1.421423e+00 0.2332105986
## 262  0.000000000 13.48125 0.000000e+00 1.0000000000
## 263 -1.233077916 13.39357 8.295595e-01 0.3624319322
## 264 -0.167410678 13.64393 2.177882e-02 0.8826813597
## 265 -2.597883443 13.63049 3.688266e+00 0.0548379526
## 266  0.000000000 13.45196 0.000000e+00 1.0000000000
## 267  0.564407210 13.62651 2.354513e-01 0.6275263634
## 268 -2.921220209 13.43771 4.272994e+00 0.0387600615
## 269 -0.403328968 13.59250 1.143704e-01 0.7352326442
## 270  0.857531727 13.40426 4.101410e-01 0.5219193511
## 271 -1.838521101 13.33566 2.395247e+00 0.1217506264
## 272  1.432587820 13.41865 1.313064e+00 0.2518806094
## 273  2.561980921 13.49912 3.664550e+00 0.0556232024
## 274 -1.273003363 13.49613 1.039407e+00 0.3079954004
## 275 -3.040088418 13.60130 4.681882e+00 0.0305167441
## 276 -4.067630206 13.63741 7.868646e+00 0.0050440877
## 277  2.744463519 13.47787 4.325602e+00 0.0375801809
## 278 -2.841470138 13.54390 4.423074e+00 0.0354924259
## 279  0.022954053 13.56449 5.225505e-04 0.9817631196
## 280 -2.263153001 13.40097 3.079140e+00 0.0793470892
## 281 -2.266400521 13.48922 3.055096e+00 0.0805289751
## 282  0.000000000 13.74002 0.000000e+00 1.0000000000
## 283 -4.269673792 13.47778 8.363960e+00 0.0038393892
## 284 -3.064408324 13.43721 4.829270e+00 0.0280137814
## 285 -2.242605199 13.36316 3.120951e+00 0.0773361395
## 286 -1.261074402 13.78086 7.777438e-01 0.3778629412
## 287  0.708080534 13.45800 3.326501e-01 0.5641216667
## 288  0.361743724 13.87130 8.518756e-02 0.7703955531
## 289  0.000000000 13.41102 0.000000e+00 1.0000000000
## 290 -1.549473965 13.80476 1.601658e+00 0.2057113418
## 291 -2.585170487 13.37433 3.816123e+00 0.0508021624
## 292  0.000000000 13.87075 0.000000e+00 1.0000000000
## 293 -1.561259744 13.42378 1.495283e+00 0.2678944522
## 294  1.371522464 13.49454 1.585263e+00 0.2118420747
## 295 -0.204898348 13.47161 2.418030e-02 0.8764315958
## 296  0.516669819 13.73015 1.898415e-01 0.6630622496
## 297 -0.533177853 13.35981 1.677719e-01 0.6821124376
## 298 -2.543913691 13.48659 3.455796e+00 0.0630731786
## 299  0.134526976 13.65110 1.383928e-02 0.9063559887
## 300 -0.605587895 13.32302 2.047466e-01 0.6590283795
## 301 -1.813544231 13.46094 2.177553e+00 0.1400828630
## 302 -1.345893302 13.59251 1.099608e+00 0.2943891056
## 303 -1.203587137 13.62459 1.183788e+00 0.2766243060
## 304  3.213393151 13.66743 5.945418e+00 0.0147807938
## 305  0.393183553 13.45714 1.047357e-01 0.7462288525
## 306  0.797914761 13.42752 4.099718e-01 0.5220052115
## 307 -2.587483646 13.44173 3.691826e+00 0.0547211060
## 308  3.113997446 13.48557 5.156442e+00 0.0231911638
## 309  0.216590758 13.36617 3.052979e-02 0.8612987134
## 310 -2.542200977 13.77976 3.286121e+00 0.0699115942
## 311 -2.585234992 13.77059 3.689281e+00 0.0548046199
## 312 -4.358021041 13.87422 8.523372e+00 0.0035175493
## 313  0.000000000 13.40480 0.000000e+00 1.0000000000
## 314 -2.209603410 13.30578 2.769647e+00 0.0961130385
## 315  0.683767386 13.85598 3.370529e-01 0.5615543744
## 316  0.687328106 13.49532 3.282375e-01 0.5667175268
## 317 -0.690269095 13.50355 3.227912e-01 0.5699536374
## 318 -1.886221206 13.39172 1.819080e+00 0.1774672880
## 319  0.000000000 13.55688 0.000000e+00 1.0000000000
## 320  0.243650930 13.36793 4.187945e-02 0.8378557986
## 321  0.000000000 13.76151 0.000000e+00 1.0000000000
## 322  0.636938385 13.47072 2.338313e-01 0.6287128477
## 323 -3.443484840 13.53760 6.071520e+00 0.0137622123
## 324  0.603441835 13.50057 2.565744e-01 0.6124996870
## 325 -0.070062488 13.65374 4.700496e-03 0.9453417300
## 326 -1.102001219 13.42819 7.210559e-01 0.3958274007
## 327 -1.129900564 13.53967 8.608158e-01 0.3535431364
## 328 -2.264927719 13.45615 3.007621e+00 0.0829187826
## 329 -3.229997791 13.45355 5.266240e+00 0.0217729794
## 330 -0.329393912 13.43705 5.861338e-02 0.8087083603
## 331 -0.380359107 13.37328 9.023108e-02 0.7638926936
## 332 -0.707978650 13.81118 3.655532e-01 0.5454581853
## 333 -0.820495005 13.65112 4.452741e-01 0.5046102345
## 334  3.221109314 13.44767 5.452647e+00 0.0195673894
## 335 -2.099209133 13.61887 2.438011e+00 0.1184724660
## 336  1.730693788 13.44189 1.686980e+00 0.1940431771
## 337 -0.850157785 13.43439 4.436590e-01 0.5053840991
## 338  2.749166600 13.39038 3.948712e+00 0.0469469688
## 339 -1.549258919 13.54426 1.508770e+00 0.2193689719
## 340  2.693552947 13.44685 4.098926e+00 0.0429491365
## 341 -0.255149378 13.43712 4.150790e-02 0.8385667366
## 342 -1.353047618 13.31144 1.057478e+00 0.3038273979
## 343 -0.937536489 13.42697 5.147687e-01 0.4731062196
##           FDR Nhood SpatialFDR        contrast
## 1   1.0000000     1  1.0000000 Age1wk - Age4wk
## 2   0.7519977     2  0.7573074 Age1wk - Age4wk
## 3   1.0000000     3  1.0000000 Age1wk - Age4wk
## 4   0.2640309     4  0.2898203 Age1wk - Age4wk
## 5   0.2508434     5  0.2714430 Age1wk - Age4wk
## 6   0.6156011     6  0.6258870 Age1wk - Age4wk
## 7   0.2966225     7  0.3169020 Age1wk - Age4wk
## 8   0.6156011     8  0.6258870 Age1wk - Age4wk
## 9   1.0000000     9  1.0000000 Age1wk - Age4wk
## 10  0.1425507    10  0.1436379 Age1wk - Age4wk
## 11  1.0000000    11  1.0000000 Age1wk - Age4wk
## 12  0.6156011    12  0.6258870 Age1wk - Age4wk
## 13  0.2508434    13  0.2714430 Age1wk - Age4wk
## 14  0.9358425    14  0.9553453 Age1wk - Age4wk
## 15  1.0000000    15  1.0000000 Age1wk - Age4wk
## 16  0.6156011    16  0.6258870 Age1wk - Age4wk
## 17  1.0000000    17  1.0000000 Age1wk - Age4wk
## 18  1.0000000    18  1.0000000 Age1wk - Age4wk
## 19  0.6214929    19  0.6344084 Age1wk - Age4wk
## 20  0.2508434    20  0.2714430 Age1wk - Age4wk
## 21  0.3224437    21  0.3344722 Age1wk - Age4wk
## 22  0.2746386    22  0.3013966 Age1wk - Age4wk
## 23  1.0000000    23  1.0000000 Age1wk - Age4wk
## 24  0.1549626    24  0.1717565 Age1wk - Age4wk
## 25  0.5222010    25  0.5288930 Age1wk - Age4wk
## 26  0.1477747    26  0.1615543 Age1wk - Age4wk
## 27  1.0000000    27  1.0000000 Age1wk - Age4wk
## 28  0.9675188    28  0.9903370 Age1wk - Age4wk
## 29  1.0000000    29  1.0000000 Age1wk - Age4wk
## 30  1.0000000    30  1.0000000 Age1wk - Age4wk
## 31  0.8270419    31  0.8479031 Age1wk - Age4wk
## 32  0.6156011    32  0.6258870 Age1wk - Age4wk
## 33  1.0000000    33  1.0000000 Age1wk - Age4wk
## 34  0.9171184    34  0.9342001 Age1wk - Age4wk
## 35  0.8886513    35  0.9050362 Age1wk - Age4wk
## 36  1.0000000    36  1.0000000 Age1wk - Age4wk
## 37  0.2746386    37  0.3013966 Age1wk - Age4wk
## 38  0.9353785    38  0.9539383 Age1wk - Age4wk
## 39  0.6156011    39  0.6258870 Age1wk - Age4wk
## 40  0.7801185    40  0.7954931 Age1wk - Age4wk
## 41  1.0000000    41  1.0000000 Age1wk - Age4wk
## 42  1.0000000    42  1.0000000 Age1wk - Age4wk
## 43  1.0000000    43  1.0000000 Age1wk - Age4wk
## 44  1.0000000    44  1.0000000 Age1wk - Age4wk
## 45  0.3224437    45  0.3329325 Age1wk - Age4wk
## 46  0.4267378    46  0.4364891 Age1wk - Age4wk
## 47  1.0000000    47  1.0000000 Age1wk - Age4wk
## 48  0.6156011    48  0.6258870 Age1wk - Age4wk
## 49  1.0000000    49  1.0000000 Age1wk - Age4wk
## 50  0.6156011    50  0.6258870 Age1wk - Age4wk
## 51  1.0000000    51  1.0000000 Age1wk - Age4wk
## 52  0.2508434    52  0.2714430 Age1wk - Age4wk
## 53  0.6671434    53  0.6789184 Age1wk - Age4wk
## 54  0.6156011    54  0.6258870 Age1wk - Age4wk
## 55  0.7211031    55  0.7359744 Age1wk - Age4wk
## 56  1.0000000    56  1.0000000 Age1wk - Age4wk
## 57  0.6156011    57  0.6258870 Age1wk - Age4wk
## 58  1.0000000    58  1.0000000 Age1wk - Age4wk
## 59  0.6636024    59  0.6759385 Age1wk - Age4wk
## 60  0.9806326    60  1.0000000 Age1wk - Age4wk
## 61  1.0000000    61  1.0000000 Age1wk - Age4wk
## 62  1.0000000    62  1.0000000 Age1wk - Age4wk
## 63  0.3094007    63  0.3326627 Age1wk - Age4wk
## 64  0.6156011    64  0.6258870 Age1wk - Age4wk
## 65  0.1235801    65  0.1288975 Age1wk - Age4wk
## 66  1.0000000    66  1.0000000 Age1wk - Age4wk
## 67  1.0000000    67  1.0000000 Age1wk - Age4wk
## 68  0.1477747    68  0.1615543 Age1wk - Age4wk
## 69  0.2286687    69  0.2351162 Age1wk - Age4wk
## 70  0.7207527    70  0.7317515 Age1wk - Age4wk
## 71  0.6156011    71  0.6258870 Age1wk - Age4wk
## 72  0.1954923    72  0.1997976 Age1wk - Age4wk
## 73  1.0000000    73  1.0000000 Age1wk - Age4wk
## 74  0.6671434    74  0.6789184 Age1wk - Age4wk
## 75  1.0000000    75  1.0000000 Age1wk - Age4wk
## 76  0.1425507    76  0.1493222 Age1wk - Age4wk
## 77  1.0000000    77  1.0000000 Age1wk - Age4wk
## 78  1.0000000    78  1.0000000 Age1wk - Age4wk
## 79  1.0000000    79  1.0000000 Age1wk - Age4wk
## 80  0.2070032    80  0.2129872 Age1wk - Age4wk
## 81  0.3074220    81  0.3284780 Age1wk - Age4wk
## 82  0.6156011    82  0.6258870 Age1wk - Age4wk
## 83  1.0000000    83  1.0000000 Age1wk - Age4wk
## 84  0.5681024    84  0.5741101 Age1wk - Age4wk
## 85  0.1477747    85  0.1615543 Age1wk - Age4wk
## 86  1.0000000    86  1.0000000 Age1wk - Age4wk
## 87  0.4513805    87  0.4598838 Age1wk - Age4wk
## 88  0.3224437    88  0.3329325 Age1wk - Age4wk
## 89  1.0000000    89  1.0000000 Age1wk - Age4wk
## 90  1.0000000    90  1.0000000 Age1wk - Age4wk
## 91  0.4810128    91  0.4914154 Age1wk - Age4wk
## 92  1.0000000    92  1.0000000 Age1wk - Age4wk
## 93  0.6156011    93  0.6258870 Age1wk - Age4wk
## 94  1.0000000    94  1.0000000 Age1wk - Age4wk
## 95  0.2180645    95  0.2259586 Age1wk - Age4wk
## 96  1.0000000    96  1.0000000 Age1wk - Age4wk
## 97  0.1159113    97  0.1036166 Age1wk - Age4wk
## 98  0.3224437    98  0.3329325 Age1wk - Age4wk
## 99  0.1477747    99  0.1615543 Age1wk - Age4wk
## 100 1.0000000   100  1.0000000 Age1wk - Age4wk
## 101 0.2887915   101  0.3169020 Age1wk - Age4wk
## 102 1.0000000   102  1.0000000 Age1wk - Age4wk
## 103 1.0000000   103  1.0000000 Age1wk - Age4wk
## 104 0.6156011   104  0.6258870 Age1wk - Age4wk
## 105 1.0000000   105  1.0000000 Age1wk - Age4wk
## 106 0.8799327   106  0.8945728 Age1wk - Age4wk
## 107 1.0000000   107  1.0000000 Age1wk - Age4wk
## 108 0.3694538   108  0.3808525 Age1wk - Age4wk
## 109 0.2070032   109  0.2129872 Age1wk - Age4wk
## 110 0.1477747   110  0.1615543 Age1wk - Age4wk
## 111 1.0000000   111  1.0000000 Age1wk - Age4wk
## 112 1.0000000   112  1.0000000 Age1wk - Age4wk
## 113 0.8457654   113  0.8681566 Age1wk - Age4wk
## 114 0.9358425   114  0.9566489 Age1wk - Age4wk
## 115 1.0000000   115  1.0000000 Age1wk - Age4wk
## 116 1.0000000   116  1.0000000 Age1wk - Age4wk
## 117 1.0000000   117  1.0000000 Age1wk - Age4wk
## 118 0.6156011   118  0.6258870 Age1wk - Age4wk
## 119 0.1704707   119  0.1852144 Age1wk - Age4wk
## 120 0.7154373   120  0.7306839 Age1wk - Age4wk
## 121 0.7330802   121  0.7399152 Age1wk - Age4wk
## 122 0.6156011   122  0.6258870 Age1wk - Age4wk
## 123 0.8912158   123  0.9057993 Age1wk - Age4wk
## 124 0.6156011   124  0.6258870 Age1wk - Age4wk
## 125 0.6156011   125  0.6258870 Age1wk - Age4wk
## 126 1.0000000   126  1.0000000 Age1wk - Age4wk
## 127 0.2746386   127  0.3013966 Age1wk - Age4wk
## 128 0.1159113   128  0.1200430 Age1wk - Age4wk
## 129 0.2746386   129  0.3013966 Age1wk - Age4wk
## 130 0.1704707   130  0.1865056 Age1wk - Age4wk
## 131 0.2307724   131  0.2399491 Age1wk - Age4wk
## 132 1.0000000   132  1.0000000 Age1wk - Age4wk
## 133 0.8041852   133  0.8222494 Age1wk - Age4wk
## 134 1.0000000   134  1.0000000 Age1wk - Age4wk
## 135 1.0000000   135  1.0000000 Age1wk - Age4wk
## 136 0.6214929   136  0.6344084 Age1wk - Age4wk
## 137 0.6156011   137  0.6258870 Age1wk - Age4wk
## 138 0.6156011   138  0.6258870 Age1wk - Age4wk
## 139 0.3224437   139  0.3329325 Age1wk - Age4wk
## 140 0.9820394   140  1.0000000 Age1wk - Age4wk
## 141 0.8886513   141  0.9050362 Age1wk - Age4wk
## 142 0.2746386   142  0.3013966 Age1wk - Age4wk
## 143 0.3694538   143  0.3808525 Age1wk - Age4wk
## 144 0.6156011   144  0.6258870 Age1wk - Age4wk
## 145 0.3224437   145  0.3329325 Age1wk - Age4wk
## 146 1.0000000   146  1.0000000 Age1wk - Age4wk
## 147 1.0000000   147  1.0000000 Age1wk - Age4wk
## 148 0.1159113   148  0.1200430 Age1wk - Age4wk
## 149 0.6156011   149  0.6258870 Age1wk - Age4wk
## 150 1.0000000   150  1.0000000 Age1wk - Age4wk
## 151 0.3224437   151  0.3329325 Age1wk - Age4wk
## 152 0.7113483   152  0.7222595 Age1wk - Age4wk
## 153 0.1477747   153  0.1615543 Age1wk - Age4wk
## 154 1.0000000   154  1.0000000 Age1wk - Age4wk
## 155 1.0000000   155  1.0000000 Age1wk - Age4wk
## 156 1.0000000   156  1.0000000 Age1wk - Age4wk
## 157 0.1159113   157  0.1204399 Age1wk - Age4wk
## 158 0.5293155   158  0.5362826 Age1wk - Age4wk
## 159 1.0000000   159  1.0000000 Age1wk - Age4wk
## 160 1.0000000   160  1.0000000 Age1wk - Age4wk
## 161 1.0000000   161  1.0000000 Age1wk - Age4wk
## 162 0.6156011   162  0.6258870 Age1wk - Age4wk
## 163 1.0000000   163  1.0000000 Age1wk - Age4wk
## 164 0.6888470   164  0.7004307 Age1wk - Age4wk
## 165 0.6156011   165  0.6258870 Age1wk - Age4wk
## 166 1.0000000   166  1.0000000 Age1wk - Age4wk
## 167 0.6156011   167  0.6258870 Age1wk - Age4wk
## 168 1.0000000   168  1.0000000 Age1wk - Age4wk
## 169 1.0000000   169  1.0000000 Age1wk - Age4wk
## 170 0.8799327   170  0.8945728 Age1wk - Age4wk
## 171 0.3224437   171  0.3344722 Age1wk - Age4wk
## 172 0.1159113   172  0.1046682 Age1wk - Age4wk
## 173 0.2640309   173  0.2898203 Age1wk - Age4wk
## 174 1.0000000   174  1.0000000 Age1wk - Age4wk
## 175 0.1477747   175  0.1615543 Age1wk - Age4wk
## 176 0.5018803   176  0.5068012 Age1wk - Age4wk
## 177 0.8799327   177  0.8945728 Age1wk - Age4wk
## 178 0.1159113   178  0.1036166 Age1wk - Age4wk
## 179 0.1159113   179  0.1036166 Age1wk - Age4wk
## 180 1.0000000   180  1.0000000 Age1wk - Age4wk
## 181 0.6156011   181  0.6258870 Age1wk - Age4wk
## 182 0.1689642   182  0.1844787 Age1wk - Age4wk
## 183 1.0000000   183  1.0000000 Age1wk - Age4wk
## 184 0.7218014   184  0.7362873 Age1wk - Age4wk
## 185 1.0000000   185  1.0000000 Age1wk - Age4wk
## 186 0.8041852   186  0.8222494 Age1wk - Age4wk
## 187 0.9358425   187  0.9566489 Age1wk - Age4wk
## 188 1.0000000   188  1.0000000 Age1wk - Age4wk
## 189 0.7113483   189  0.7222595 Age1wk - Age4wk
## 190 1.0000000   190  1.0000000 Age1wk - Age4wk
## 191 0.3224437   191  0.3329325 Age1wk - Age4wk
## 192 0.6156011   192  0.6258870 Age1wk - Age4wk
## 193 1.0000000   193  1.0000000 Age1wk - Age4wk
## 194 0.6156011   194  0.6258870 Age1wk - Age4wk
## 195 0.7306438   195  0.7399152 Age1wk - Age4wk
## 196 0.5018803   196  0.5073195 Age1wk - Age4wk
## 197 1.0000000   197  1.0000000 Age1wk - Age4wk
## 198 0.2508434   198  0.2714430 Age1wk - Age4wk
## 199 1.0000000   199  1.0000000 Age1wk - Age4wk
## 200 0.7677496   200  0.7784430 Age1wk - Age4wk
## 201 0.7653631   201  0.7743727 Age1wk - Age4wk
## 202 0.4267378   202  0.4364891 Age1wk - Age4wk
## 203 0.7211031   203  0.7359744 Age1wk - Age4wk
## 204 0.1704707   204  0.1852144 Age1wk - Age4wk
## 205 1.0000000   205  1.0000000 Age1wk - Age4wk
## 206 0.8799327   206  0.8945728 Age1wk - Age4wk
## 207 0.6156011   207  0.6258870 Age1wk - Age4wk
## 208 0.4246945   208  0.4349506 Age1wk - Age4wk
## 209 0.7544636   209  0.7625185 Age1wk - Age4wk
## 210 1.0000000   210  1.0000000 Age1wk - Age4wk
## 211 0.3094772   211  0.3329325 Age1wk - Age4wk
## 212 1.0000000   212  1.0000000 Age1wk - Age4wk
## 213 1.0000000   213  1.0000000 Age1wk - Age4wk
## 214 0.2180645   214  0.2259586 Age1wk - Age4wk
## 215 0.2746386   215  0.3013966 Age1wk - Age4wk
## 216 0.6432889   216  0.6564839 Age1wk - Age4wk
## 217 0.4888055   217  0.4977142 Age1wk - Age4wk
## 218 1.0000000   218  1.0000000 Age1wk - Age4wk
## 219 0.3224437   219  0.3329325 Age1wk - Age4wk
## 220 0.4499688   220  0.4598838 Age1wk - Age4wk
## 221 0.6156011   221  0.6258870 Age1wk - Age4wk
## 222 1.0000000   222  1.0000000 Age1wk - Age4wk
## 223 1.0000000   223  1.0000000 Age1wk - Age4wk
## 224 1.0000000   224  1.0000000 Age1wk - Age4wk
## 225 1.0000000   225  1.0000000 Age1wk - Age4wk
## 226 0.2746386   226  0.3013966 Age1wk - Age4wk
## 227 1.0000000   227  1.0000000 Age1wk - Age4wk
## 228 0.4539053   228  0.4613240 Age1wk - Age4wk
## 229 1.0000000   229  1.0000000 Age1wk - Age4wk
## 230 1.0000000   230  1.0000000 Age1wk - Age4wk
## 231 0.4967285   231  0.4993197 Age1wk - Age4wk
## 232 0.2746386   232  0.3013966 Age1wk - Age4wk
## 233 0.6156011   233  0.6258870 Age1wk - Age4wk
## 234 1.0000000   234  1.0000000 Age1wk - Age4wk
## 235 0.2746386   235  0.3013966 Age1wk - Age4wk
## 236 1.0000000   236  1.0000000 Age1wk - Age4wk
## 237 0.3694538   237  0.3808525 Age1wk - Age4wk
## 238 0.9358425   238  0.9566489 Age1wk - Age4wk
## 239 0.7801185   239  0.7954931 Age1wk - Age4wk
## 240 1.0000000   240  1.0000000 Age1wk - Age4wk
## 241 1.0000000   241  1.0000000 Age1wk - Age4wk
## 242 0.1159113   242  0.1036166 Age1wk - Age4wk
## 243 1.0000000   243  1.0000000 Age1wk - Age4wk
## 244 1.0000000   244  1.0000000 Age1wk - Age4wk
## 245 0.2508434   245  0.2714430 Age1wk - Age4wk
## 246 1.0000000   246  1.0000000 Age1wk - Age4wk
## 247 0.1765727   247  0.1877824 Age1wk - Age4wk
## 248 0.1028244   248  0.1036166 Age1wk - Age4wk
## 249 0.3224437   249  0.3329325 Age1wk - Age4wk
## 250 1.0000000   250  1.0000000 Age1wk - Age4wk
## 251 1.0000000   251  1.0000000 Age1wk - Age4wk
## 252 0.4513805   252  0.4598838 Age1wk - Age4wk
## 253 0.9820394   253  1.0000000 Age1wk - Age4wk
## 254 0.1816424   254  0.1877824 Age1wk - Age4wk
## 255 0.1159113   255  0.1046682 Age1wk - Age4wk
## 256 1.0000000   256  1.0000000 Age1wk - Age4wk
## 257 1.0000000   257  1.0000000 Age1wk - Age4wk
## 258 0.6214929   258  0.6344084 Age1wk - Age4wk
## 259 0.9941052   259  1.0000000 Age1wk - Age4wk
## 260 1.0000000   260  1.0000000 Age1wk - Age4wk
## 261 0.6156011   261  0.6258870 Age1wk - Age4wk
## 262 1.0000000   262  1.0000000 Age1wk - Age4wk
## 263 0.7207527   263  0.7317515 Age1wk - Age4wk
## 264 1.0000000   264  1.0000000 Age1wk - Age4wk
## 265 0.2746386   265  0.3013966 Age1wk - Age4wk
## 266 1.0000000   266  1.0000000 Age1wk - Age4wk
## 267 0.9820394   267  1.0000000 Age1wk - Age4wk
## 268 0.2508434   268  0.2714430 Age1wk - Age4wk
## 269 1.0000000   269  1.0000000 Age1wk - Age4wk
## 270 0.8907850   270  0.9057715 Age1wk - Age4wk
## 271 0.4218229   271  0.4323511 Age1wk - Age4wk
## 272 0.6156011   272  0.6258870 Age1wk - Age4wk
## 273 0.2746386   273  0.3013966 Age1wk - Age4wk
## 274 0.6481130   274  0.6616225 Age1wk - Age4wk
## 275 0.2378919   275  0.2478953 Age1wk - Age4wk
## 276 0.1235801   276  0.1288975 Age1wk - Age4wk
## 277 0.2508434   277  0.2714430 Age1wk - Age4wk
## 278 0.2508434   278  0.2714430 Age1wk - Age4wk
## 279 1.0000000   279  1.0000000 Age1wk - Age4wk
## 280 0.3224437   280  0.3329325 Age1wk - Age4wk
## 281 0.3224437   281  0.3329325 Age1wk - Age4wk
## 282 1.0000000   282  1.0000000 Age1wk - Age4wk
## 283 0.1159113   283  0.1204399 Age1wk - Age4wk
## 284 0.2287792   284  0.2356633 Age1wk - Age4wk
## 285 0.3224437   285  0.3329325 Age1wk - Age4wk
## 286 0.7306438   286  0.7399152 Age1wk - Age4wk
## 287 0.9353785   287  0.9539383 Age1wk - Age4wk
## 288 1.0000000   288  1.0000000 Age1wk - Age4wk
## 289 1.0000000   289  1.0000000 Age1wk - Age4wk
## 290 0.5979575   290  0.6063418 Age1wk - Age4wk
## 291 0.2746386   291  0.3013966 Age1wk - Age4wk
## 292 1.0000000   292  1.0000000 Age1wk - Age4wk
## 293 0.6156011   293  0.6258870 Age1wk - Age4wk
## 294 0.6106036   294  0.6178069 Age1wk - Age4wk
## 295 1.0000000   295  1.0000000 Age1wk - Age4wk
## 296 1.0000000   296  1.0000000 Age1wk - Age4wk
## 297 1.0000000   297  1.0000000 Age1wk - Age4wk
## 298 0.2963575   298  0.3169020 Age1wk - Age4wk
## 299 1.0000000   299  1.0000000 Age1wk - Age4wk
## 300 1.0000000   300  1.0000000 Age1wk - Age4wk
## 301 0.4532870   301  0.4599598 Age1wk - Age4wk
## 302 0.6310966   302  0.6462709 Age1wk - Age4wk
## 303 0.6156011   303  0.6258870 Age1wk - Age4wk
## 304 0.1704707   304  0.1865056 Age1wk - Age4wk
## 305 1.0000000   305  1.0000000 Age1wk - Age4wk
## 306 0.8907850   306  0.9057715 Age1wk - Age4wk
## 307 0.2746386   307  0.3013966 Age1wk - Age4wk
## 308 0.2093308   308  0.2178862 Age1wk - Age4wk
## 309 1.0000000   309  1.0000000 Age1wk - Age4wk
## 310 0.3094772   310  0.3329325 Age1wk - Age4wk
## 311 0.2746386   311  0.3013966 Age1wk - Age4wk
## 312 0.1159113   312  0.1200430 Age1wk - Age4wk
## 313 1.0000000   313  1.0000000 Age1wk - Age4wk
## 314 0.3507103   314  0.3627825 Age1wk - Age4wk
## 315 0.9353785   315  0.9539383 Age1wk - Age4wk
## 316 0.9353785   316  0.9539383 Age1wk - Age4wk
## 317 0.9353785   317  0.9539383 Age1wk - Age4wk
## 318 0.5293155   318  0.5362826 Age1wk - Age4wk
## 319 1.0000000   319  1.0000000 Age1wk - Age4wk
## 320 1.0000000   320  1.0000000 Age1wk - Age4wk
## 321 1.0000000   321  1.0000000 Age1wk - Age4wk
## 322 0.9820394   322  1.0000000 Age1wk - Age4wk
## 323 0.1704707   323  0.1852144 Age1wk - Age4wk
## 324 0.9771507   324  1.0000000 Age1wk - Age4wk
## 325 1.0000000   325  1.0000000 Age1wk - Age4wk
## 326 0.7519977   326  0.7573074 Age1wk - Age4wk
## 327 0.7133253   327  0.7260649 Age1wk - Age4wk
## 328 0.3224437   328  0.3329325 Age1wk - Age4wk
## 329 0.2070032   329  0.2129872 Age1wk - Age4wk
## 330 1.0000000   330  1.0000000 Age1wk - Age4wk
## 331 1.0000000   331  1.0000000 Age1wk - Age4wk
## 332 0.9171184   332  0.9342001 Age1wk - Age4wk
## 333 0.8799327   333  0.8945728 Age1wk - Age4wk
## 334 0.1974004   334  0.2033831 Age1wk - Age4wk
## 335 0.4146536   335  0.4288112 Age1wk - Age4wk
## 336 0.5688616   336  0.5741101 Age1wk - Age4wk
## 337 0.8799327   337  0.8945728 Age1wk - Age4wk
## 338 0.2746386   338  0.3013966 Age1wk - Age4wk
## 339 0.6156011   339  0.6258870 Age1wk - Age4wk
## 340 0.2640309   340  0.2898203 Age1wk - Age4wk
## 341 1.0000000   341  1.0000000 Age1wk - Age4wk
## 342 0.6432889   342  0.6564839 Age1wk - Age4wk
## 343 0.8496096   343  0.8681566 Age1wk - Age4wk
##     PValue_adj_withinNhood
## 1             0.7244973681
## 2             0.3968267906
## 3             0.7741359491
## 4             0.0420293274
## 5             0.0386138100
## 6             0.2708395280
## 7             0.0639943505
## 8             0.2211852757
## 9             0.9953704028
## 10            0.0062405123
## 11            0.8919487757
## 12            0.2678406963
## 13            0.0374681945
## 14            0.5748068106
## 15            0.7733500363
## 16            0.2765532447
## 17            0.9912076227
## 18            1.0000000000
## 19            0.2853819816
## 20            0.0353502325
## 21            0.0869404181
## 22            0.0524834302
## 23            0.7171302338
## 24            0.0108428632
## 25            0.1720370671
## 26            0.0091477149
## 27            0.9780272498
## 28            0.6036414471
## 29            0.9767181269
## 30            0.6863646865
## 31            0.4557169773
## 32            0.2523568330
## 33            0.8318362578
## 34            0.5448439125
## 35            0.5137949331
## 36            1.0000000000
## 37            0.0560797826
## 38            0.5697776543
## 39            0.2693758914
## 40            0.4230380362
## 41            0.8356781395
## 42            0.8555512418
## 43            0.9780272575
## 44            0.6847558982
## 45            0.0787437793
## 46            0.1269016175
## 47            1.0000000000
## 48            0.2769966488
## 49            1.0000000000
## 50            0.2692388196
## 51            0.7423692419
## 52            0.0378415327
## 53            0.3228740661
## 54            0.2327080509
## 55            0.3679097488
## 56            0.9835147909
## 57            0.2678944184
## 58            0.7549199073
## 59            0.3172909656
## 60            0.6175412149
## 61            0.9347211625
## 62            1.0000000000
## 63            0.0685552560
## 64            0.2678944184
## 65            0.0049759791
## 66            1.0000000000
## 67            0.9864414893
## 68            0.0081150618
## 69            0.0273335816
## 70            0.3635283273
## 71            0.2799818373
## 72            0.0188082991
## 73            1.0000000000
## 74            0.3224059266
## 75            1.0000000000
## 76            0.0066495952
## 77            1.0000000000
## 78            0.7681741709
## 79            0.8426973727
## 80            0.0223297923
## 81            0.0672205614
## 82            0.2765359354
## 83            1.0000000000
## 84            0.1921279246
## 85            0.0088142054
## 86            1.0000000000
## 87            0.1381776906
## 88            0.0847391255
## 89            0.9505375356
## 90            1.0000000000
## 91            0.1514559101
## 92            0.6518187452
## 93            0.2477785104
## 94            0.7687688689
## 95            0.0251016854
## 96            0.9321306865
## 97            0.0012335734
## 98            0.0743393180
## 99            0.0074947403
## 100           1.0000000000
## 101           0.0606209534
## 102           1.0000000000
## 103           1.0000000000
## 104           0.2332839513
## 105           1.0000000000
## 106           0.5022470897
## 107           0.6716119050
## 108           0.1035862918
## 109           0.0218891903
## 110           0.0096162420
## 111           0.8762435723
## 112           0.9542238290
## 113           0.4684998110
## 114           0.5811499827
## 115           1.0000000000
## 116           0.8647793384
## 117           1.0000000000
## 118           0.2552217491
## 119           0.0141438691
## 120           0.3566757461
## 121           0.3825695460
## 122           0.2416906375
## 123           0.5248559278
## 124           0.2405395627
## 125           0.2387311787
## 126           1.0000000000
## 127           0.0481546893
## 128           0.0034464866
## 129           0.0542747207
## 130           0.0149099714
## 131           0.0289306568
## 132           1.0000000000
## 133           0.4394067523
## 134           0.9348376806
## 135           1.0000000000
## 136           0.2880973078
## 137           0.2775565213
## 138           0.2678944176
## 139           0.0815501153
## 140           0.6221728371
## 141           0.5155731990
## 142           0.0509634212
## 143           0.1044811113
## 144           0.2796696834
## 145           0.0854737563
## 146           0.7254413918
## 147           0.7410109769
## 148           0.0032803505
## 149           0.2678944172
## 150           0.9987166236
## 151           0.0856526837
## 152           0.3500195087
## 153           0.0099090918
## 154           1.0000000000
## 155           1.0000000000
## 156           0.7546866450
## 157           0.0040552053
## 158           0.1763041664
## 159           0.6876450759
## 160           0.9355393360
## 161           1.0000000000
## 162           0.2678944183
## 163           0.9140711029
## 164           0.3353861575
## 165           0.2717592080
## 166           0.8943543371
## 167           0.2247036814
## 168           0.9801589808
## 169           1.0000000000
## 170           0.4982380164
## 171           0.0874264151
## 172           0.0025300269
## 173           0.0431070809
## 174           1.0000000000
## 175           0.0096023485
## 176           0.1625045704
## 177           0.5013966180
## 178           0.0008879162
## 179           0.0017078414
## 180           0.9143431418
## 181           0.2678944184
## 182           0.0123151771
## 183           0.8123749416
## 184           0.3703703880
## 185           1.0000000000
## 186           0.4407778678
## 187           0.5802910091
## 188           1.0000000000
## 189           0.3504893744
## 190           0.8356991819
## 191           0.0815338398
## 192           0.2468673438
## 193           0.8367360063
## 194           0.2192937441
## 195           0.3791679049
## 196           0.1638792936
## 197           1.0000000000
## 198           0.0346896585
## 199           1.0000000000
## 200           0.4118540236
## 201           0.4083423957
## 202           0.1264269397
## 203           0.3677518407
## 204           0.0131020605
## 205           1.0000000000
## 206           0.4951329656
## 207           0.2707529850
## 208           0.1238176360
## 209           0.4003276345
## 210           0.6911559990
## 211           0.0703767388
## 212           0.8408614922
## 213           0.8658726458
## 214           0.0254302673
## 215           0.0538839436
## 216           0.3037334699
## 217           0.1553346859
## 218           0.8801290437
## 219           0.0856947784
## 220           0.1351218277
## 221           0.2788506707
## 222           0.7457915157
## 223           1.0000000000
## 224           1.0000000000
## 225           1.0000000000
## 226           0.0568493799
## 227           0.9618655201
## 228           0.1415972887
## 229           1.0000000000
## 230           0.9400285969
## 231           0.1593006943
## 232           0.0543494965
## 233           0.2681124255
## 234           1.0000000000
## 235           0.0566716255
## 236           0.7093706698
## 237           0.1035824867
## 238           0.5792043308
## 239           0.4228477645
## 240           0.8321666153
## 241           0.6817446313
## 242           0.0016713512
## 243           1.0000000000
## 244           1.0000000000
## 245           0.0378535621
## 246           1.0000000000
## 247           0.0159584625
## 248           0.0002997796
## 249           0.0813590526
## 250           0.7668840292
## 251           1.0000000000
## 252           0.1376332700
## 253           0.6298794729
## 254           0.0169462337
## 255           0.0021875590
## 256           1.0000000000
## 257           0.6559288634
## 258           0.2872391837
## 259           0.6405167911
## 260           1.0000000000
## 261           0.2332105986
## 262           1.0000000000
## 263           0.3624319322
## 264           0.8826813597
## 265           0.0548379526
## 266           1.0000000000
## 267           0.6275263634
## 268           0.0387600615
## 269           0.7352326442
## 270           0.5219193511
## 271           0.1217506264
## 272           0.2518806094
## 273           0.0556232024
## 274           0.3079954004
## 275           0.0305167441
## 276           0.0050440877
## 277           0.0375801809
## 278           0.0354924259
## 279           0.9817631196
## 280           0.0793470892
## 281           0.0805289751
## 282           1.0000000000
## 283           0.0038393892
## 284           0.0280137814
## 285           0.0773361395
## 286           0.3778629412
## 287           0.5641216667
## 288           0.7703955531
## 289           1.0000000000
## 290           0.2057113418
## 291           0.0508021624
## 292           1.0000000000
## 293           0.2678944522
## 294           0.2118420747
## 295           0.8764315958
## 296           0.6630622496
## 297           0.6821124376
## 298           0.0630731786
## 299           0.9063559887
## 300           0.6590283795
## 301           0.1400828630
## 302           0.2943891056
## 303           0.2766243060
## 304           0.0147807938
## 305           0.7462288525
## 306           0.5220052115
## 307           0.0547211060
## 308           0.0231911638
## 309           0.8612987134
## 310           0.0699115942
## 311           0.0548046199
## 312           0.0035175493
## 313           1.0000000000
## 314           0.0961130385
## 315           0.5615543744
## 316           0.5667175268
## 317           0.5699536374
## 318           0.1774672880
## 319           1.0000000000
## 320           0.8378557986
## 321           1.0000000000
## 322           0.6287128477
## 323           0.0137622123
## 324           0.6124996870
## 325           0.9453417300
## 326           0.3958274007
## 327           0.3535431364
## 328           0.0829187826
## 329           0.0217729794
## 330           0.8087083603
## 331           0.7638926936
## 332           0.5454581853
## 333           0.5046102345
## 334           0.0195673894
## 335           0.1184724660
## 336           0.1940431771
## 337           0.5053840991
## 338           0.0469469688
## 339           0.2193689719
## 340           0.0429491365
## 341           0.8385667366
## 342           0.3038273979
## 343           0.4731062196
## 
## $artifacts$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] 343
## 
## $summary$n_samples
## [1] 25
## 
## 
## $created_at
## [1] "2026-05-31 05:03:09 UTC"
## 
## $da_results
##            logFC   logCPM            F       PValue
## 1   -0.424880954 13.66075 1.242344e-01 0.7244973681
## 2   -1.117822619 13.37924 7.180106e-01 0.3968267906
## 3    0.368076626 13.57295 8.235778e-02 0.7741359491
## 4   -2.862363545 13.87550 4.135570e+00 0.0420293274
## 5   -2.829461820 13.65808 4.279423e+00 0.0386138100
## 6   -1.417717985 13.55053 1.212686e+00 0.2708395280
## 7    2.411644567 13.35979 3.431824e+00 0.0639943505
## 8   -1.528117211 13.49564 1.496937e+00 0.2211852757
## 9   -0.004906545 13.40558 3.366998e-05 0.9953704028
## 10  -3.980828065 13.38533 7.484133e+00 0.0062405123
## 11  -0.176192860 13.60726 1.845353e-02 0.8919487757
## 12  -1.473387179 13.39248 1.227972e+00 0.2678406963
## 13  -2.864754953 13.43724 4.330685e+00 0.0374681945
## 14  -0.665538997 13.55753 3.147359e-01 0.5748068106
## 15  -0.325235904 13.75332 8.294807e-02 0.7733500363
## 16  -1.204195394 13.64289 1.184139e+00 0.2765532447
## 17  -0.015332105 13.41399 1.214456e-04 0.9912076227
## 18   0.000000000 13.52487 0.000000e+00 1.0000000000
## 19   1.251604656 13.54059 1.141458e+00 0.2853819816
## 20   2.759813107 13.47791 4.429930e+00 0.0353502325
## 21   2.070528473 13.65160 2.930971e+00 0.0869404181
## 22  -2.579254060 13.39941 3.761596e+00 0.0524834302
## 23  -0.466985007 13.33484 1.312698e-01 0.7171302338
## 24   3.522365090 13.45113 6.494436e+00 0.0108428632
## 25  -1.772402042 13.71854 1.865492e+00 0.1720370671
## 26  -3.721712027 13.71345 6.797619e+00 0.0091477149
## 27   0.169448871 13.36126 1.342907e-02 0.9780272498
## 28   0.623537211 13.56022 2.695635e-01 0.6036414471
## 29  -0.032617153 13.43381 8.517471e-04 0.9767181269
## 30   0.441833833 13.52357 1.630629e-01 0.6863646865
## 31  -0.891295529 13.77306 5.564567e-01 0.4557169773
## 32  -1.482867854 13.65031 1.310430e+00 0.2523568330
## 33   0.253254184 13.99112 4.509472e-02 0.8318362578
## 34   0.761754415 13.34543 3.666721e-01 0.5448439125
## 35  -0.844614803 13.60263 4.263750e-01 0.5137949331
## 36   0.000000000 13.63346 0.000000e+00 1.0000000000
## 37  -2.574031743 13.61366 3.650923e+00 0.0560797826
## 38   0.744413041 13.42664 3.230858e-01 0.5697776543
## 39  -1.185717566 13.47918 1.220120e+00 0.2693758914
## 40   0.916331256 13.82054 6.419369e-01 0.4230380362
## 41  -0.251978393 13.54110 4.302831e-02 0.8356781395
## 42  -0.223363849 13.60682 3.314110e-02 0.8555512418
## 43  -0.057057273 13.46196 1.914739e-03 0.9780272575
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## 333 -0.820495005 13.65112 4.452741e-01 0.5046102345
## 334  3.221109314 13.44767 5.452647e+00 0.0195673894
## 335 -2.099209133 13.61887 2.438011e+00 0.1184724660
## 336  1.730693788 13.44189 1.686980e+00 0.1940431771
## 337 -0.850157785 13.43439 4.436590e-01 0.5053840991
## 338  2.749166600 13.39038 3.948712e+00 0.0469469688
## 339 -1.549258919 13.54426 1.508770e+00 0.2193689719
## 340  2.693552947 13.44685 4.098926e+00 0.0429491365
## 341 -0.255149378 13.43712 4.150790e-02 0.8385667366
## 342 -1.353047618 13.31144 1.057478e+00 0.3038273979
## 343 -0.937536489 13.42697 5.147687e-01 0.4731062196
##           FDR Nhood SpatialFDR        contrast
## 1   1.0000000     1  1.0000000 Age1wk - Age4wk
## 2   0.7519977     2  0.7573074 Age1wk - Age4wk
## 3   1.0000000     3  1.0000000 Age1wk - Age4wk
## 4   0.2640309     4  0.2898203 Age1wk - Age4wk
## 5   0.2508434     5  0.2714430 Age1wk - Age4wk
## 6   0.6156011     6  0.6258870 Age1wk - Age4wk
## 7   0.2966225     7  0.3169020 Age1wk - Age4wk
## 8   0.6156011     8  0.6258870 Age1wk - Age4wk
## 9   1.0000000     9  1.0000000 Age1wk - Age4wk
## 10  0.1425507    10  0.1436379 Age1wk - Age4wk
## 11  1.0000000    11  1.0000000 Age1wk - Age4wk
## 12  0.6156011    12  0.6258870 Age1wk - Age4wk
## 13  0.2508434    13  0.2714430 Age1wk - Age4wk
## 14  0.9358425    14  0.9553453 Age1wk - Age4wk
## 15  1.0000000    15  1.0000000 Age1wk - Age4wk
## 16  0.6156011    16  0.6258870 Age1wk - Age4wk
## 17  1.0000000    17  1.0000000 Age1wk - Age4wk
## 18  1.0000000    18  1.0000000 Age1wk - Age4wk
## 19  0.6214929    19  0.6344084 Age1wk - Age4wk
## 20  0.2508434    20  0.2714430 Age1wk - Age4wk
## 21  0.3224437    21  0.3344722 Age1wk - Age4wk
## 22  0.2746386    22  0.3013966 Age1wk - Age4wk
## 23  1.0000000    23  1.0000000 Age1wk - Age4wk
## 24  0.1549626    24  0.1717565 Age1wk - Age4wk
## 25  0.5222010    25  0.5288930 Age1wk - Age4wk
## 26  0.1477747    26  0.1615543 Age1wk - Age4wk
## 27  1.0000000    27  1.0000000 Age1wk - Age4wk
## 28  0.9675188    28  0.9903370 Age1wk - Age4wk
## 29  1.0000000    29  1.0000000 Age1wk - Age4wk
## 30  1.0000000    30  1.0000000 Age1wk - Age4wk
## 31  0.8270419    31  0.8479031 Age1wk - Age4wk
## 32  0.6156011    32  0.6258870 Age1wk - Age4wk
## 33  1.0000000    33  1.0000000 Age1wk - Age4wk
## 34  0.9171184    34  0.9342001 Age1wk - Age4wk
## 35  0.8886513    35  0.9050362 Age1wk - Age4wk
## 36  1.0000000    36  1.0000000 Age1wk - Age4wk
## 37  0.2746386    37  0.3013966 Age1wk - Age4wk
## 38  0.9353785    38  0.9539383 Age1wk - Age4wk
## 39  0.6156011    39  0.6258870 Age1wk - Age4wk
## 40  0.7801185    40  0.7954931 Age1wk - Age4wk
## 41  1.0000000    41  1.0000000 Age1wk - Age4wk
## 42  1.0000000    42  1.0000000 Age1wk - Age4wk
## 43  1.0000000    43  1.0000000 Age1wk - Age4wk
## 44  1.0000000    44  1.0000000 Age1wk - Age4wk
## 45  0.3224437    45  0.3329325 Age1wk - Age4wk
## 46  0.4267378    46  0.4364891 Age1wk - Age4wk
## 47  1.0000000    47  1.0000000 Age1wk - Age4wk
## 48  0.6156011    48  0.6258870 Age1wk - Age4wk
## 49  1.0000000    49  1.0000000 Age1wk - Age4wk
## 50  0.6156011    50  0.6258870 Age1wk - Age4wk
## 51  1.0000000    51  1.0000000 Age1wk - Age4wk
## 52  0.2508434    52  0.2714430 Age1wk - Age4wk
## 53  0.6671434    53  0.6789184 Age1wk - Age4wk
## 54  0.6156011    54  0.6258870 Age1wk - Age4wk
## 55  0.7211031    55  0.7359744 Age1wk - Age4wk
## 56  1.0000000    56  1.0000000 Age1wk - Age4wk
## 57  0.6156011    57  0.6258870 Age1wk - Age4wk
## 58  1.0000000    58  1.0000000 Age1wk - Age4wk
## 59  0.6636024    59  0.6759385 Age1wk - Age4wk
## 60  0.9806326    60  1.0000000 Age1wk - Age4wk
## 61  1.0000000    61  1.0000000 Age1wk - Age4wk
## 62  1.0000000    62  1.0000000 Age1wk - Age4wk
## 63  0.3094007    63  0.3326627 Age1wk - Age4wk
## 64  0.6156011    64  0.6258870 Age1wk - Age4wk
## 65  0.1235801    65  0.1288975 Age1wk - Age4wk
## 66  1.0000000    66  1.0000000 Age1wk - Age4wk
## 67  1.0000000    67  1.0000000 Age1wk - Age4wk
## 68  0.1477747    68  0.1615543 Age1wk - Age4wk
## 69  0.2286687    69  0.2351162 Age1wk - Age4wk
## 70  0.7207527    70  0.7317515 Age1wk - Age4wk
## 71  0.6156011    71  0.6258870 Age1wk - Age4wk
## 72  0.1954923    72  0.1997976 Age1wk - Age4wk
## 73  1.0000000    73  1.0000000 Age1wk - Age4wk
## 74  0.6671434    74  0.6789184 Age1wk - Age4wk
## 75  1.0000000    75  1.0000000 Age1wk - Age4wk
## 76  0.1425507    76  0.1493222 Age1wk - Age4wk
## 77  1.0000000    77  1.0000000 Age1wk - Age4wk
## 78  1.0000000    78  1.0000000 Age1wk - Age4wk
## 79  1.0000000    79  1.0000000 Age1wk - Age4wk
## 80  0.2070032    80  0.2129872 Age1wk - Age4wk
## 81  0.3074220    81  0.3284780 Age1wk - Age4wk
## 82  0.6156011    82  0.6258870 Age1wk - Age4wk
## 83  1.0000000    83  1.0000000 Age1wk - Age4wk
## 84  0.5681024    84  0.5741101 Age1wk - Age4wk
## 85  0.1477747    85  0.1615543 Age1wk - Age4wk
## 86  1.0000000    86  1.0000000 Age1wk - Age4wk
## 87  0.4513805    87  0.4598838 Age1wk - Age4wk
## 88  0.3224437    88  0.3329325 Age1wk - Age4wk
## 89  1.0000000    89  1.0000000 Age1wk - Age4wk
## 90  1.0000000    90  1.0000000 Age1wk - Age4wk
## 91  0.4810128    91  0.4914154 Age1wk - Age4wk
## 92  1.0000000    92  1.0000000 Age1wk - Age4wk
## 93  0.6156011    93  0.6258870 Age1wk - Age4wk
## 94  1.0000000    94  1.0000000 Age1wk - Age4wk
## 95  0.2180645    95  0.2259586 Age1wk - Age4wk
## 96  1.0000000    96  1.0000000 Age1wk - Age4wk
## 97  0.1159113    97  0.1036166 Age1wk - Age4wk
## 98  0.3224437    98  0.3329325 Age1wk - Age4wk
## 99  0.1477747    99  0.1615543 Age1wk - Age4wk
## 100 1.0000000   100  1.0000000 Age1wk - Age4wk
## 101 0.2887915   101  0.3169020 Age1wk - Age4wk
## 102 1.0000000   102  1.0000000 Age1wk - Age4wk
## 103 1.0000000   103  1.0000000 Age1wk - Age4wk
## 104 0.6156011   104  0.6258870 Age1wk - Age4wk
## 105 1.0000000   105  1.0000000 Age1wk - Age4wk
## 106 0.8799327   106  0.8945728 Age1wk - Age4wk
## 107 1.0000000   107  1.0000000 Age1wk - Age4wk
## 108 0.3694538   108  0.3808525 Age1wk - Age4wk
## 109 0.2070032   109  0.2129872 Age1wk - Age4wk
## 110 0.1477747   110  0.1615543 Age1wk - Age4wk
## 111 1.0000000   111  1.0000000 Age1wk - Age4wk
## 112 1.0000000   112  1.0000000 Age1wk - Age4wk
## 113 0.8457654   113  0.8681566 Age1wk - Age4wk
## 114 0.9358425   114  0.9566489 Age1wk - Age4wk
## 115 1.0000000   115  1.0000000 Age1wk - Age4wk
## 116 1.0000000   116  1.0000000 Age1wk - Age4wk
## 117 1.0000000   117  1.0000000 Age1wk - Age4wk
## 118 0.6156011   118  0.6258870 Age1wk - Age4wk
## 119 0.1704707   119  0.1852144 Age1wk - Age4wk
## 120 0.7154373   120  0.7306839 Age1wk - Age4wk
## 121 0.7330802   121  0.7399152 Age1wk - Age4wk
## 122 0.6156011   122  0.6258870 Age1wk - Age4wk
## 123 0.8912158   123  0.9057993 Age1wk - Age4wk
## 124 0.6156011   124  0.6258870 Age1wk - Age4wk
## 125 0.6156011   125  0.6258870 Age1wk - Age4wk
## 126 1.0000000   126  1.0000000 Age1wk - Age4wk
## 127 0.2746386   127  0.3013966 Age1wk - Age4wk
## 128 0.1159113   128  0.1200430 Age1wk - Age4wk
## 129 0.2746386   129  0.3013966 Age1wk - Age4wk
## 130 0.1704707   130  0.1865056 Age1wk - Age4wk
## 131 0.2307724   131  0.2399491 Age1wk - Age4wk
## 132 1.0000000   132  1.0000000 Age1wk - Age4wk
## 133 0.8041852   133  0.8222494 Age1wk - Age4wk
## 134 1.0000000   134  1.0000000 Age1wk - Age4wk
## 135 1.0000000   135  1.0000000 Age1wk - Age4wk
## 136 0.6214929   136  0.6344084 Age1wk - Age4wk
## 137 0.6156011   137  0.6258870 Age1wk - Age4wk
## 138 0.6156011   138  0.6258870 Age1wk - Age4wk
## 139 0.3224437   139  0.3329325 Age1wk - Age4wk
## 140 0.9820394   140  1.0000000 Age1wk - Age4wk
## 141 0.8886513   141  0.9050362 Age1wk - Age4wk
## 142 0.2746386   142  0.3013966 Age1wk - Age4wk
## 143 0.3694538   143  0.3808525 Age1wk - Age4wk
## 144 0.6156011   144  0.6258870 Age1wk - Age4wk
## 145 0.3224437   145  0.3329325 Age1wk - Age4wk
## 146 1.0000000   146  1.0000000 Age1wk - Age4wk
## 147 1.0000000   147  1.0000000 Age1wk - Age4wk
## 148 0.1159113   148  0.1200430 Age1wk - Age4wk
## 149 0.6156011   149  0.6258870 Age1wk - Age4wk
## 150 1.0000000   150  1.0000000 Age1wk - Age4wk
## 151 0.3224437   151  0.3329325 Age1wk - Age4wk
## 152 0.7113483   152  0.7222595 Age1wk - Age4wk
## 153 0.1477747   153  0.1615543 Age1wk - Age4wk
## 154 1.0000000   154  1.0000000 Age1wk - Age4wk
## 155 1.0000000   155  1.0000000 Age1wk - Age4wk
## 156 1.0000000   156  1.0000000 Age1wk - Age4wk
## 157 0.1159113   157  0.1204399 Age1wk - Age4wk
## 158 0.5293155   158  0.5362826 Age1wk - Age4wk
## 159 1.0000000   159  1.0000000 Age1wk - Age4wk
## 160 1.0000000   160  1.0000000 Age1wk - Age4wk
## 161 1.0000000   161  1.0000000 Age1wk - Age4wk
## 162 0.6156011   162  0.6258870 Age1wk - Age4wk
## 163 1.0000000   163  1.0000000 Age1wk - Age4wk
## 164 0.6888470   164  0.7004307 Age1wk - Age4wk
## 165 0.6156011   165  0.6258870 Age1wk - Age4wk
## 166 1.0000000   166  1.0000000 Age1wk - Age4wk
## 167 0.6156011   167  0.6258870 Age1wk - Age4wk
## 168 1.0000000   168  1.0000000 Age1wk - Age4wk
## 169 1.0000000   169  1.0000000 Age1wk - Age4wk
## 170 0.8799327   170  0.8945728 Age1wk - Age4wk
## 171 0.3224437   171  0.3344722 Age1wk - Age4wk
## 172 0.1159113   172  0.1046682 Age1wk - Age4wk
## 173 0.2640309   173  0.2898203 Age1wk - Age4wk
## 174 1.0000000   174  1.0000000 Age1wk - Age4wk
## 175 0.1477747   175  0.1615543 Age1wk - Age4wk
## 176 0.5018803   176  0.5068012 Age1wk - Age4wk
## 177 0.8799327   177  0.8945728 Age1wk - Age4wk
## 178 0.1159113   178  0.1036166 Age1wk - Age4wk
## 179 0.1159113   179  0.1036166 Age1wk - Age4wk
## 180 1.0000000   180  1.0000000 Age1wk - Age4wk
## 181 0.6156011   181  0.6258870 Age1wk - Age4wk
## 182 0.1689642   182  0.1844787 Age1wk - Age4wk
## 183 1.0000000   183  1.0000000 Age1wk - Age4wk
## 184 0.7218014   184  0.7362873 Age1wk - Age4wk
## 185 1.0000000   185  1.0000000 Age1wk - Age4wk
## 186 0.8041852   186  0.8222494 Age1wk - Age4wk
## 187 0.9358425   187  0.9566489 Age1wk - Age4wk
## 188 1.0000000   188  1.0000000 Age1wk - Age4wk
## 189 0.7113483   189  0.7222595 Age1wk - Age4wk
## 190 1.0000000   190  1.0000000 Age1wk - Age4wk
## 191 0.3224437   191  0.3329325 Age1wk - Age4wk
## 192 0.6156011   192  0.6258870 Age1wk - Age4wk
## 193 1.0000000   193  1.0000000 Age1wk - Age4wk
## 194 0.6156011   194  0.6258870 Age1wk - Age4wk
## 195 0.7306438   195  0.7399152 Age1wk - Age4wk
## 196 0.5018803   196  0.5073195 Age1wk - Age4wk
## 197 1.0000000   197  1.0000000 Age1wk - Age4wk
## 198 0.2508434   198  0.2714430 Age1wk - Age4wk
## 199 1.0000000   199  1.0000000 Age1wk - Age4wk
## 200 0.7677496   200  0.7784430 Age1wk - Age4wk
## 201 0.7653631   201  0.7743727 Age1wk - Age4wk
## 202 0.4267378   202  0.4364891 Age1wk - Age4wk
## 203 0.7211031   203  0.7359744 Age1wk - Age4wk
## 204 0.1704707   204  0.1852144 Age1wk - Age4wk
## 205 1.0000000   205  1.0000000 Age1wk - Age4wk
## 206 0.8799327   206  0.8945728 Age1wk - Age4wk
## 207 0.6156011   207  0.6258870 Age1wk - Age4wk
## 208 0.4246945   208  0.4349506 Age1wk - Age4wk
## 209 0.7544636   209  0.7625185 Age1wk - Age4wk
## 210 1.0000000   210  1.0000000 Age1wk - Age4wk
## 211 0.3094772   211  0.3329325 Age1wk - Age4wk
## 212 1.0000000   212  1.0000000 Age1wk - Age4wk
## 213 1.0000000   213  1.0000000 Age1wk - Age4wk
## 214 0.2180645   214  0.2259586 Age1wk - Age4wk
## 215 0.2746386   215  0.3013966 Age1wk - Age4wk
## 216 0.6432889   216  0.6564839 Age1wk - Age4wk
## 217 0.4888055   217  0.4977142 Age1wk - Age4wk
## 218 1.0000000   218  1.0000000 Age1wk - Age4wk
## 219 0.3224437   219  0.3329325 Age1wk - Age4wk
## 220 0.4499688   220  0.4598838 Age1wk - Age4wk
## 221 0.6156011   221  0.6258870 Age1wk - Age4wk
## 222 1.0000000   222  1.0000000 Age1wk - Age4wk
## 223 1.0000000   223  1.0000000 Age1wk - Age4wk
## 224 1.0000000   224  1.0000000 Age1wk - Age4wk
## 225 1.0000000   225  1.0000000 Age1wk - Age4wk
## 226 0.2746386   226  0.3013966 Age1wk - Age4wk
## 227 1.0000000   227  1.0000000 Age1wk - Age4wk
## 228 0.4539053   228  0.4613240 Age1wk - Age4wk
## 229 1.0000000   229  1.0000000 Age1wk - Age4wk
## 230 1.0000000   230  1.0000000 Age1wk - Age4wk
## 231 0.4967285   231  0.4993197 Age1wk - Age4wk
## 232 0.2746386   232  0.3013966 Age1wk - Age4wk
## 233 0.6156011   233  0.6258870 Age1wk - Age4wk
## 234 1.0000000   234  1.0000000 Age1wk - Age4wk
## 235 0.2746386   235  0.3013966 Age1wk - Age4wk
## 236 1.0000000   236  1.0000000 Age1wk - Age4wk
## 237 0.3694538   237  0.3808525 Age1wk - Age4wk
## 238 0.9358425   238  0.9566489 Age1wk - Age4wk
## 239 0.7801185   239  0.7954931 Age1wk - Age4wk
## 240 1.0000000   240  1.0000000 Age1wk - Age4wk
## 241 1.0000000   241  1.0000000 Age1wk - Age4wk
## 242 0.1159113   242  0.1036166 Age1wk - Age4wk
## 243 1.0000000   243  1.0000000 Age1wk - Age4wk
## 244 1.0000000   244  1.0000000 Age1wk - Age4wk
## 245 0.2508434   245  0.2714430 Age1wk - Age4wk
## 246 1.0000000   246  1.0000000 Age1wk - Age4wk
## 247 0.1765727   247  0.1877824 Age1wk - Age4wk
## 248 0.1028244   248  0.1036166 Age1wk - Age4wk
## 249 0.3224437   249  0.3329325 Age1wk - Age4wk
## 250 1.0000000   250  1.0000000 Age1wk - Age4wk
## 251 1.0000000   251  1.0000000 Age1wk - Age4wk
## 252 0.4513805   252  0.4598838 Age1wk - Age4wk
## 253 0.9820394   253  1.0000000 Age1wk - Age4wk
## 254 0.1816424   254  0.1877824 Age1wk - Age4wk
## 255 0.1159113   255  0.1046682 Age1wk - Age4wk
## 256 1.0000000   256  1.0000000 Age1wk - Age4wk
## 257 1.0000000   257  1.0000000 Age1wk - Age4wk
## 258 0.6214929   258  0.6344084 Age1wk - Age4wk
## 259 0.9941052   259  1.0000000 Age1wk - Age4wk
## 260 1.0000000   260  1.0000000 Age1wk - Age4wk
## 261 0.6156011   261  0.6258870 Age1wk - Age4wk
## 262 1.0000000   262  1.0000000 Age1wk - Age4wk
## 263 0.7207527   263  0.7317515 Age1wk - Age4wk
## 264 1.0000000   264  1.0000000 Age1wk - Age4wk
## 265 0.2746386   265  0.3013966 Age1wk - Age4wk
## 266 1.0000000   266  1.0000000 Age1wk - Age4wk
## 267 0.9820394   267  1.0000000 Age1wk - Age4wk
## 268 0.2508434   268  0.2714430 Age1wk - Age4wk
## 269 1.0000000   269  1.0000000 Age1wk - Age4wk
## 270 0.8907850   270  0.9057715 Age1wk - Age4wk
## 271 0.4218229   271  0.4323511 Age1wk - Age4wk
## 272 0.6156011   272  0.6258870 Age1wk - Age4wk
## 273 0.2746386   273  0.3013966 Age1wk - Age4wk
## 274 0.6481130   274  0.6616225 Age1wk - Age4wk
## 275 0.2378919   275  0.2478953 Age1wk - Age4wk
## 276 0.1235801   276  0.1288975 Age1wk - Age4wk
## 277 0.2508434   277  0.2714430 Age1wk - Age4wk
## 278 0.2508434   278  0.2714430 Age1wk - Age4wk
## 279 1.0000000   279  1.0000000 Age1wk - Age4wk
## 280 0.3224437   280  0.3329325 Age1wk - Age4wk
## 281 0.3224437   281  0.3329325 Age1wk - Age4wk
## 282 1.0000000   282  1.0000000 Age1wk - Age4wk
## 283 0.1159113   283  0.1204399 Age1wk - Age4wk
## 284 0.2287792   284  0.2356633 Age1wk - Age4wk
## 285 0.3224437   285  0.3329325 Age1wk - Age4wk
## 286 0.7306438   286  0.7399152 Age1wk - Age4wk
## 287 0.9353785   287  0.9539383 Age1wk - Age4wk
## 288 1.0000000   288  1.0000000 Age1wk - Age4wk
## 289 1.0000000   289  1.0000000 Age1wk - Age4wk
## 290 0.5979575   290  0.6063418 Age1wk - Age4wk
## 291 0.2746386   291  0.3013966 Age1wk - Age4wk
## 292 1.0000000   292  1.0000000 Age1wk - Age4wk
## 293 0.6156011   293  0.6258870 Age1wk - Age4wk
## 294 0.6106036   294  0.6178069 Age1wk - Age4wk
## 295 1.0000000   295  1.0000000 Age1wk - Age4wk
## 296 1.0000000   296  1.0000000 Age1wk - Age4wk
## 297 1.0000000   297  1.0000000 Age1wk - Age4wk
## 298 0.2963575   298  0.3169020 Age1wk - Age4wk
## 299 1.0000000   299  1.0000000 Age1wk - Age4wk
## 300 1.0000000   300  1.0000000 Age1wk - Age4wk
## 301 0.4532870   301  0.4599598 Age1wk - Age4wk
## 302 0.6310966   302  0.6462709 Age1wk - Age4wk
## 303 0.6156011   303  0.6258870 Age1wk - Age4wk
## 304 0.1704707   304  0.1865056 Age1wk - Age4wk
## 305 1.0000000   305  1.0000000 Age1wk - Age4wk
## 306 0.8907850   306  0.9057715 Age1wk - Age4wk
## 307 0.2746386   307  0.3013966 Age1wk - Age4wk
## 308 0.2093308   308  0.2178862 Age1wk - Age4wk
## 309 1.0000000   309  1.0000000 Age1wk - Age4wk
## 310 0.3094772   310  0.3329325 Age1wk - Age4wk
## 311 0.2746386   311  0.3013966 Age1wk - Age4wk
## 312 0.1159113   312  0.1200430 Age1wk - Age4wk
## 313 1.0000000   313  1.0000000 Age1wk - Age4wk
## 314 0.3507103   314  0.3627825 Age1wk - Age4wk
## 315 0.9353785   315  0.9539383 Age1wk - Age4wk
## 316 0.9353785   316  0.9539383 Age1wk - Age4wk
## 317 0.9353785   317  0.9539383 Age1wk - Age4wk
## 318 0.5293155   318  0.5362826 Age1wk - Age4wk
## 319 1.0000000   319  1.0000000 Age1wk - Age4wk
## 320 1.0000000   320  1.0000000 Age1wk - Age4wk
## 321 1.0000000   321  1.0000000 Age1wk - Age4wk
## 322 0.9820394   322  1.0000000 Age1wk - Age4wk
## 323 0.1704707   323  0.1852144 Age1wk - Age4wk
## 324 0.9771507   324  1.0000000 Age1wk - Age4wk
## 325 1.0000000   325  1.0000000 Age1wk - Age4wk
## 326 0.7519977   326  0.7573074 Age1wk - Age4wk
## 327 0.7133253   327  0.7260649 Age1wk - Age4wk
## 328 0.3224437   328  0.3329325 Age1wk - Age4wk
## 329 0.2070032   329  0.2129872 Age1wk - Age4wk
## 330 1.0000000   330  1.0000000 Age1wk - Age4wk
## 331 1.0000000   331  1.0000000 Age1wk - Age4wk
## 332 0.9171184   332  0.9342001 Age1wk - Age4wk
## 333 0.8799327   333  0.8945728 Age1wk - Age4wk
## 334 0.1974004   334  0.2033831 Age1wk - Age4wk
## 335 0.4146536   335  0.4288112 Age1wk - Age4wk
## 336 0.5688616   336  0.5741101 Age1wk - Age4wk
## 337 0.8799327   337  0.8945728 Age1wk - Age4wk
## 338 0.2746386   338  0.3013966 Age1wk - Age4wk
## 339 0.6156011   339  0.6258870 Age1wk - Age4wk
## 340 0.2640309   340  0.2898203 Age1wk - Age4wk
## 341 1.0000000   341  1.0000000 Age1wk - Age4wk
## 342 0.6432889   342  0.6564839 Age1wk - Age4wk
## 343 0.8496096   343  0.8681566 Age1wk - Age4wk
##     PValue_adj_withinNhood
## 1             0.7244973681
## 2             0.3968267906
## 3             0.7741359491
## 4             0.0420293274
## 5             0.0386138100
## 6             0.2708395280
## 7             0.0639943505
## 8             0.2211852757
## 9             0.9953704028
## 10            0.0062405123
## 11            0.8919487757
## 12            0.2678406963
## 13            0.0374681945
## 14            0.5748068106
## 15            0.7733500363
## 16            0.2765532447
## 17            0.9912076227
## 18            1.0000000000
## 19            0.2853819816
## 20            0.0353502325
## 21            0.0869404181
## 22            0.0524834302
## 23            0.7171302338
## 24            0.0108428632
## 25            0.1720370671
## 26            0.0091477149
## 27            0.9780272498
## 28            0.6036414471
## 29            0.9767181269
## 30            0.6863646865
## 31            0.4557169773
## 32            0.2523568330
## 33            0.8318362578
## 34            0.5448439125
## 35            0.5137949331
## 36            1.0000000000
## 37            0.0560797826
## 38            0.5697776543
## 39            0.2693758914
## 40            0.4230380362
## 41            0.8356781395
## 42            0.8555512418
## 43            0.9780272575
## 44            0.6847558982
## 45            0.0787437793
## 46            0.1269016175
## 47            1.0000000000
## 48            0.2769966488
## 49            1.0000000000
## 50            0.2692388196
## 51            0.7423692419
## 52            0.0378415327
## 53            0.3228740661
## 54            0.2327080509
## 55            0.3679097488
## 56            0.9835147909
## 57            0.2678944184
## 58            0.7549199073
## 59            0.3172909656
## 60            0.6175412149
## 61            0.9347211625
## 62            1.0000000000
## 63            0.0685552560
## 64            0.2678944184
## 65            0.0049759791
## 66            1.0000000000
## 67            0.9864414893
## 68            0.0081150618
## 69            0.0273335816
## 70            0.3635283273
## 71            0.2799818373
## 72            0.0188082991
## 73            1.0000000000
## 74            0.3224059266
## 75            1.0000000000
## 76            0.0066495952
## 77            1.0000000000
## 78            0.7681741709
## 79            0.8426973727
## 80            0.0223297923
## 81            0.0672205614
## 82            0.2765359354
## 83            1.0000000000
## 84            0.1921279246
## 85            0.0088142054
## 86            1.0000000000
## 87            0.1381776906
## 88            0.0847391255
## 89            0.9505375356
## 90            1.0000000000
## 91            0.1514559101
## 92            0.6518187452
## 93            0.2477785104
## 94            0.7687688689
## 95            0.0251016854
## 96            0.9321306865
## 97            0.0012335734
## 98            0.0743393180
## 99            0.0074947403
## 100           1.0000000000
## 101           0.0606209534
## 102           1.0000000000
## 103           1.0000000000
## 104           0.2332839513
## 105           1.0000000000
## 106           0.5022470897
## 107           0.6716119050
## 108           0.1035862918
## 109           0.0218891903
## 110           0.0096162420
## 111           0.8762435723
## 112           0.9542238290
## 113           0.4684998110
## 114           0.5811499827
## 115           1.0000000000
## 116           0.8647793384
## 117           1.0000000000
## 118           0.2552217491
## 119           0.0141438691
## 120           0.3566757461
## 121           0.3825695460
## 122           0.2416906375
## 123           0.5248559278
## 124           0.2405395627
## 125           0.2387311787
## 126           1.0000000000
## 127           0.0481546893
## 128           0.0034464866
## 129           0.0542747207
## 130           0.0149099714
## 131           0.0289306568
## 132           1.0000000000
## 133           0.4394067523
## 134           0.9348376806
## 135           1.0000000000
## 136           0.2880973078
## 137           0.2775565213
## 138           0.2678944176
## 139           0.0815501153
## 140           0.6221728371
## 141           0.5155731990
## 142           0.0509634212
## 143           0.1044811113
## 144           0.2796696834
## 145           0.0854737563
## 146           0.7254413918
## 147           0.7410109769
## 148           0.0032803505
## 149           0.2678944172
## 150           0.9987166236
## 151           0.0856526837
## 152           0.3500195087
## 153           0.0099090918
## 154           1.0000000000
## 155           1.0000000000
## 156           0.7546866450
## 157           0.0040552053
## 158           0.1763041664
## 159           0.6876450759
## 160           0.9355393360
## 161           1.0000000000
## 162           0.2678944183
## 163           0.9140711029
## 164           0.3353861575
## 165           0.2717592080
## 166           0.8943543371
## 167           0.2247036814
## 168           0.9801589808
## 169           1.0000000000
## 170           0.4982380164
## 171           0.0874264151
## 172           0.0025300269
## 173           0.0431070809
## 174           1.0000000000
## 175           0.0096023485
## 176           0.1625045704
## 177           0.5013966180
## 178           0.0008879162
## 179           0.0017078414
## 180           0.9143431418
## 181           0.2678944184
## 182           0.0123151771
## 183           0.8123749416
## 184           0.3703703880
## 185           1.0000000000
## 186           0.4407778678
## 187           0.5802910091
## 188           1.0000000000
## 189           0.3504893744
## 190           0.8356991819
## 191           0.0815338398
## 192           0.2468673438
## 193           0.8367360063
## 194           0.2192937441
## 195           0.3791679049
## 196           0.1638792936
## 197           1.0000000000
## 198           0.0346896585
## 199           1.0000000000
## 200           0.4118540236
## 201           0.4083423957
## 202           0.1264269397
## 203           0.3677518407
## 204           0.0131020605
## 205           1.0000000000
## 206           0.4951329656
## 207           0.2707529850
## 208           0.1238176360
## 209           0.4003276345
## 210           0.6911559990
## 211           0.0703767388
## 212           0.8408614922
## 213           0.8658726458
## 214           0.0254302673
## 215           0.0538839436
## 216           0.3037334699
## 217           0.1553346859
## 218           0.8801290437
## 219           0.0856947784
## 220           0.1351218277
## 221           0.2788506707
## 222           0.7457915157
## 223           1.0000000000
## 224           1.0000000000
## 225           1.0000000000
## 226           0.0568493799
## 227           0.9618655201
## 228           0.1415972887
## 229           1.0000000000
## 230           0.9400285969
## 231           0.1593006943
## 232           0.0543494965
## 233           0.2681124255
## 234           1.0000000000
## 235           0.0566716255
## 236           0.7093706698
## 237           0.1035824867
## 238           0.5792043308
## 239           0.4228477645
## 240           0.8321666153
## 241           0.6817446313
## 242           0.0016713512
## 243           1.0000000000
## 244           1.0000000000
## 245           0.0378535621
## 246           1.0000000000
## 247           0.0159584625
## 248           0.0002997796
## 249           0.0813590526
## 250           0.7668840292
## 251           1.0000000000
## 252           0.1376332700
## 253           0.6298794729
## 254           0.0169462337
## 255           0.0021875590
## 256           1.0000000000
## 257           0.6559288634
## 258           0.2872391837
## 259           0.6405167911
## 260           1.0000000000
## 261           0.2332105986
## 262           1.0000000000
## 263           0.3624319322
## 264           0.8826813597
## 265           0.0548379526
## 266           1.0000000000
## 267           0.6275263634
## 268           0.0387600615
## 269           0.7352326442
## 270           0.5219193511
## 271           0.1217506264
## 272           0.2518806094
## 273           0.0556232024
## 274           0.3079954004
## 275           0.0305167441
## 276           0.0050440877
## 277           0.0375801809
## 278           0.0354924259
## 279           0.9817631196
## 280           0.0793470892
## 281           0.0805289751
## 282           1.0000000000
## 283           0.0038393892
## 284           0.0280137814
## 285           0.0773361395
## 286           0.3778629412
## 287           0.5641216667
## 288           0.7703955531
## 289           1.0000000000
## 290           0.2057113418
## 291           0.0508021624
## 292           1.0000000000
## 293           0.2678944522
## 294           0.2118420747
## 295           0.8764315958
## 296           0.6630622496
## 297           0.6821124376
## 298           0.0630731786
## 299           0.9063559887
## 300           0.6590283795
## 301           0.1400828630
## 302           0.2943891056
## 303           0.2766243060
## 304           0.0147807938
## 305           0.7462288525
## 306           0.5220052115
## 307           0.0547211060
## 308           0.0231911638
## 309           0.8612987134
## 310           0.0699115942
## 311           0.0548046199
## 312           0.0035175493
## 313           1.0000000000
## 314           0.0961130385
## 315           0.5615543744
## 316           0.5667175268
## 317           0.5699536374
## 318           0.1774672880
## 319           1.0000000000
## 320           0.8378557986
## 321           1.0000000000
## 322           0.6287128477
## 323           0.0137622123
## 324           0.6124996870
## 325           0.9453417300
## 326           0.3958274007
## 327           0.3535431364
## 328           0.0829187826
## 329           0.0217729794
## 330           0.8087083603
## 331           0.7638926936
## 332           0.5454581853
## 333           0.5046102345
## 334           0.0195673894
## 335           0.1184724660
## 336           0.1940431771
## 337           0.5053840991
## 338           0.0469469688
## 339           0.2193689719
## 340           0.0429491365
## 341           0.8385667366
## 342           0.3038273979
## 343           0.4731062196
## 
## $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"

15.3 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 -0.4248810 13.66075 0.12423442 0.72449737 1.0000000     1
## 2 -1.1178226 13.37924 0.71801065 0.39682679 0.7519977     2
## 3  0.3680766 13.57295 0.08235778 0.77413595 1.0000000     3
## 4 -2.8623635 13.87550 4.13557017 0.04202933 0.2640309     4
## 5 -2.8294618 13.65808 4.27942341 0.03861381 0.2508434     5
## 6 -1.4177180 13.55053 1.21268563 0.27083953 0.6156011     6
##   SpatialFDR        contrast PValue_adj_withinNhood
## 1  1.0000000 Age1wk - Age4wk              0.8527620
## 2  0.7573074 Age1wk - Age4wk              0.7936536
## 3  1.0000000 Age1wk - Age4wk              0.8723942
## 4  0.2898203 Age1wk - Age4wk              0.1681173
## 5  0.2714430 Age1wk - Age4wk              0.1544552
## 6  0.6258870 Age1wk - Age4wk              0.8948181

15.4 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  1.19426566 11.11520 0.3418064  3.49398244 0.0004796897
## 2 -0.56190987 10.58540 0.3579033 -1.57000457 0.1164654238
## 3 -0.03096640 12.08108 0.3685682 -0.08401811 0.9330451923
## 4 -1.37537254 10.56466 0.4344745 -3.16560037 0.0015507645
## 5  0.04402348 11.02846 0.3081513  0.14286319 0.8864021928
## 6  0.35057452 11.89417 0.3564932  0.98339738 0.3254452341
##   tenx_lane_variance Converged Logliklihood Nhood
## 1         0.00000001      TRUE     337.2157     1
## 2         0.01554443     FALSE     200.8052     2
## 3         0.00000001      TRUE     850.5412     3
## 4         1.12729627      TRUE     242.8243     4
## 5         0.00000001      TRUE     238.1128     5
## 6         0.09303859      TRUE     776.1802     6
##    SpatialFDR           contrast PValue_adj_withinNhood
## 1 0.003662778 adjmfc.timed0 high           0.0004796897
## 2 0.258102408 adjmfc.timed0 high           0.1164654238
## 3 0.959870868 adjmfc.timed0 high           0.9330451923
## 4 0.010496151 adjmfc.timed0 high           0.0015507645
## 5 0.930141991 adjmfc.timed0 high           0.8864021928
## 6 0.501574206 adjmfc.timed0 high           0.3254452341

15.5 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  1.19429868 11.11520 0.3367312  3.54674144 0.0003932523
## 2 -0.55843100 10.58540 0.3533867 -1.58022638 0.1141037734
## 3 -0.03091596 12.08108 0.3724387 -0.08300952 0.9338471512
## 4 -1.38041314 10.56466 0.4292965 -3.21552358 0.0013046943
## 5  0.04402347 11.02846 0.3081513  0.14286317 0.8864022129
## 6  0.35927884 11.89417 0.3608347  0.99568829 0.3194374891
##   tenx_lane_variance Converged Logliklihood Nhood
## 1         0.00000001      TRUE     337.0783     1
## 2         0.02435859     FALSE     201.1274     2
## 3         0.00000001      TRUE     850.5142     3
## 4         1.15081208      TRUE     243.4212     4
## 5         0.00000001      TRUE     238.1128     5
## 6         0.08049940      TRUE     776.0125     6
##    SpatialFDR
## 1 0.003083938
## 2 0.257815506
## 3 0.959598427
## 4 0.008830656
## 5 0.928652487
## 6 0.492991000