Run all mediation estimators on one synthetic dataset
Source:R/mediation.R
analyze_mediation_robust.RdReference-named entry point: applies UNADJ, DIRECT, COCA, IV2SLS, and PGC
(matrix bridge) mediation estimators to each tested outcome feature and
returns tidy per-feature results with significance flags for both NDE
and NIE. When the dataset includes a mediator instrument (Gm),
the 2-stage MR estimator fit_iv2sls_mediation2 (method
"IV2SLS2") is also run. When the dataset includes path-specific
negative controls (W1, W2;), the two-stage
proximal estimator fit_pgc_mediation2 is run as "PGC2"
(without Gm) and "PGC2Gm" (with Gm, when Gm is also present).
Usage
analyze_mediation_robust(
iteration_data,
test_features = NULL,
alpha = 0.05,
n_cores = 1,
se_method = c("delta", "bootstrap", "composite"),
n_boot = 500
)Arguments
- iteration_data
Dataset list from
run_single_iteration()(orgenerate_toy_data()). WhenGmis present, the 2-stage MR estimator is included.- test_features
Optional integer indices of outcome features to test. Default
NULL(all features).- alpha
Significance threshold for the significance flags. Default 0.05.
- n_cores
Number of parallel workers. Default 1 (sequential). Uses
parallel::mclapplyon Unix and a PSOCK cluster on Windows.- se_method
"delta" (default), "bootstrap", or "composite". See
iconic_estimate()for details.- n_boot
Number of bootstrap resamples when
se_method = "bootstrap". Default 500.
Value
Data frame: feature, method, NDE, NDE_se,
NDE_p, NIE, NIE_se, NIE_p,
NDE_significant, NIE_significant.
Details
Negative controls are always summarised over the full W panel for COCA,
so restricting test_features does not change its control summary.
The matrix-bridge PGC uses the full W panel.
A scalar-bridge variant (fit_pgc_scalar_mediation()) is exported for
standalone use but is not included in the default pipeline.
Examples
dat <- generate_toy_data(n = 300, mo_confounding = 0.8, seed = 1)
analyze_mediation_robust(dat)
#> analyze_mediation_robust: 20 tasks (sequential)
#> analyze_mediation_robust: 10% (2/20) [0.1s]
#> analyze_mediation_robust: 20% (4/20) [0.2s]
#> analyze_mediation_robust: 30% (6/20) [0.3s]
#> analyze_mediation_robust: 40% (8/20) [0.4s]
#> analyze_mediation_robust: 50% (10/20) [0.5s]
#> analyze_mediation_robust: 60% (12/20) [0.6s]
#> analyze_mediation_robust: 70% (14/20) [0.6s]
#> analyze_mediation_robust: 80% (16/20) [0.7s]
#> analyze_mediation_robust: 90% (18/20) [0.8s]
#> analyze_mediation_robust: 100% (20/20) [0.9s]
#> feature method NDE NDE_se NDE_p NIE
#> UNADJ 1 UNADJ -0.3567091 0.03644547 8.992960e-20 0.9708511
#> DIRECT 1 DIRECT -0.2337947 0.06100961 1.576139e-04 0.7170643
#> COCA 1 COCA 2.8684859 1.22395950 1.909804e-02 -2.6156009
#> IV2SLS 1 IV2SLS -0.1176018 0.02853826 5.000487e-05 0.6163144
#> PGC 1 PGC -0.3085593 0.04478624 3.404759e-11 0.6842444
#> UNADJ1 2 UNADJ -0.6795645 0.03633958 5.203366e-52 1.4390083
#> DIRECT1 2 DIRECT -0.6365661 0.06080954 8.589203e-22 1.2136341
#> COCA1 2 COCA 5.6065263 4.64167260 2.270982e-01 -5.3825422
#> IV2SLS1 2 IV2SLS -0.2478322 0.03278828 6.093881e-13 0.7986452
#> PGC1 2 PGC -0.6588016 0.04486365 5.396196e-37 1.0771917
#> UNADJ2 3 UNADJ -0.5723311 0.03921754 1.096693e-36 1.2721960
#> DIRECT2 3 DIRECT -0.4508026 0.06588415 5.084458e-11 1.0113788
#> COCA2 3 COCA 5.3542608 3.82520441 1.615936e-01 -5.1277843
#> IV2SLS2 3 IV2SLS -0.2496638 0.03248833 2.719057e-13 0.7464183
#> PGC2 3 PGC -0.5270918 0.04825829 1.549579e-23 0.9188563
#> UNADJ3 4 UNADJ -0.4701080 0.03526014 4.637477e-32 1.0869985
#> DIRECT3 4 DIRECT -0.4640161 0.05827389 4.511703e-14 0.9288244
#> COCA3 4 COCA NA NA NA NA
#> IV2SLS3 4 IV2SLS -0.1559559 0.02946907 2.472800e-07 0.6347332
#> PGC3 4 PGC -0.4514598 0.04353762 1.124362e-21 0.8099993
#> UNADJ4 5 UNADJ -0.3448167 0.03346389 1.812541e-21 0.9432483
#> DIRECT4 5 DIRECT -0.3134165 0.05653605 6.963193e-08 0.7865438
#> COCA4 5 COCA 7.2467342 7.34616025 3.239047e-01 -6.9992885
#> IV2SLS4 5 IV2SLS -0.1158914 0.02717076 2.748250e-05 0.6182116
#> PGC4 5 PGC -0.3123470 0.04123070 4.674562e-13 0.6826053
#> UNADJ5 6 UNADJ -0.3490231 0.03432995 5.167184e-21 0.9398636
#> DIRECT5 6 DIRECT -0.2708682 0.05722019 3.537399e-06 0.7469367
#> COCA5 6 COCA 4.7115605 3.18641706 1.392368e-01 -4.4704463
#> IV2SLS5 6 IV2SLS -0.1326241 0.02712139 1.717325e-06 0.6142471
#> PGC5 6 PGC -0.3094662 0.04224438 2.300822e-12 0.6711885
#> UNADJ6 7 UNADJ -0.5704708 0.03548343 3.329253e-42 1.3083966
#> DIRECT6 7 DIRECT -0.5414953 0.05940070 1.712652e-17 1.1199374
#> COCA6 7 COCA NA NA NA NA
#> IV2SLS6 7 IV2SLS -0.2177223 0.03090325 1.487918e-11 0.7835995
#> PGC6 7 PGC -0.5432637 0.04376941 9.945075e-29 0.9690523
#> UNADJ7 8 UNADJ -0.4677875 0.03649404 3.357317e-30 1.1277006
#> DIRECT7 8 DIRECT -0.3850741 0.06122798 1.256031e-09 0.8923163
#> COCA7 8 COCA 3.8920813 2.22753693 8.059262e-02 -3.6517894
#> IV2SLS7 8 IV2SLS -0.1503973 0.02984854 8.504408e-07 0.6713957
#> PGC7 8 PGC -0.4191099 0.04484096 2.363844e-18 0.8038166
#> UNADJ8 9 UNADJ -0.5911968 0.03220334 9.825787e-51 1.2642209
#> DIRECT8 9 DIRECT -0.5907553 0.05518756 1.432851e-22 1.1060754
#> COCA8 9 COCA NA NA NA NA
#> IV2SLS8 9 IV2SLS -0.2093116 0.02995036 2.098446e-11 0.7171014
#> PGC8 9 PGC -0.5769615 0.03977413 2.463128e-36 0.9513384
#> UNADJ9 10 UNADJ -0.5634733 0.03530744 9.188626e-42 1.2164889
#> DIRECT9 10 DIRECT -0.4785350 0.05883795 1.463498e-14 1.0181847
#> COCA9 10 COCA NA NA NA NA
#> IV2SLS9 10 IV2SLS -0.2466785 0.02987502 6.323731e-15 0.7263731
#> PGC9 10 PGC -0.5569934 0.04363090 5.395508e-30 0.9244046
#> UNADJ10 11 UNADJ -0.3904411 0.03352563 4.816312e-26 0.9530947
#> DIRECT10 11 DIRECT -0.3637229 0.05668504 6.102277e-10 0.8094624
#> COCA10 11 COCA NA NA NA NA
#> IV2SLS10 11 IV2SLS -0.1408020 0.02770509 6.903045e-07 0.5944356
#> PGC10 11 PGC -0.3891221 0.04143336 1.703232e-18 0.7289306
#> UNADJ11 12 UNADJ -0.5910045 0.03573383 6.242506e-44 1.3124824
#> DIRECT11 12 DIRECT -0.5573122 0.05947548 2.793293e-18 1.1247974
#> COCA11 12 COCA NA NA NA NA
#> IV2SLS11 12 IV2SLS -0.2247223 0.03114531 5.247208e-12 0.7733316
#> PGC11 12 PGC -0.5940325 0.04416161 1.802922e-32 1.0098221
#> UNADJ12 13 UNADJ -0.6702416 0.03821588 1.139168e-47 1.3999065
#> DIRECT12 13 DIRECT -0.5581312 0.06341739 1.560110e-16 1.1043194
#> COCA12 13 COCA 2.9007090 1.43006660 4.252216e-02 -2.6919540
#> IV2SLS12 13 IV2SLS -0.2502136 0.03273114 3.519734e-13 0.7481229
#> PGC12 13 PGC -0.5991823 0.04669713 3.146645e-30 0.9846080
#> UNADJ13 14 UNADJ -0.4966354 0.03720119 4.008516e-32 1.1351051
#> DIRECT13 14 DIRECT -0.4224905 0.06262573 8.992486e-11 0.9451662
#> COCA13 14 COCA NA NA NA NA
#> IV2SLS13 14 IV2SLS -0.2155695 0.03081866 2.021683e-11 0.6963333
#> PGC13 14 PGC -0.5020219 0.04597298 1.578636e-23 0.8767937
#> UNADJ14 15 UNADJ -0.5291854 0.03675182 5.752693e-36 1.1791869
#> DIRECT14 15 DIRECT -0.5032061 0.06263201 2.815234e-14 0.9906940
#> COCA14 15 COCA 5.6812218 4.48012803 2.047645e-01 -5.4699997
#> IV2SLS14 15 IV2SLS -0.1861291 0.03172672 1.274574e-08 0.6686078
#> PGC14 15 PGC -0.4932421 0.04527951 1.945043e-23 0.8591344
#> UNADJ15 16 UNADJ -0.5099847 0.03528934 3.678056e-36 1.1983376
#> DIRECT15 16 DIRECT -0.4299820 0.05834648 2.027057e-12 0.9513746
#> COCA15 16 COCA 2.5282745 1.12214443 2.425448e-02 -2.2858270
#> IV2SLS15 16 IV2SLS -0.1666513 0.02910537 2.692519e-08 0.6961204
#> PGC15 16 PGC -0.4541535 0.04325754 4.160283e-22 0.8490567
#> UNADJ16 17 UNADJ -0.6194041 0.03706776 1.431336e-44 1.3134228
#> DIRECT16 17 DIRECT -0.5405799 0.06212693 3.112060e-16 1.0591975
#> COCA16 17 COCA 3.2147874 1.69804160 5.832697e-02 -3.0094977
#> IV2SLS16 17 IV2SLS -0.2194391 0.03198540 4.531514e-11 0.7122228
#> PGC16 17 PGC -0.5533664 0.04533683 5.370385e-28 0.9245670
#> UNADJ17 18 UNADJ -0.6913136 0.03670110 1.621503e-52 1.4614706
#> DIRECT17 18 DIRECT -0.6200162 0.06114583 1.005251e-20 1.1692720
#> COCA17 18 COCA 2.0250523 0.86428738 1.912778e-02 -1.7987134
#> IV2SLS17 18 IV2SLS -0.2213461 0.03267761 7.603787e-11 0.7626332
#> PGC17 18 PGC -0.5969540 0.04437427 1.782336e-32 1.0027933
#> UNADJ18 19 UNADJ -0.3191033 0.03541617 2.642528e-17 0.8841462
#> DIRECT18 19 DIRECT -0.2490638 0.05922136 3.529670e-05 0.6893737
#> COCA18 19 COCA 3.3881309 1.66130510 4.140620e-02 -3.1520818
#> IV2SLS18 19 IV2SLS -0.1089325 0.02784546 1.153985e-04 0.5678536
#> PGC18 19 PGC -0.2638623 0.04342305 3.797763e-09 0.6089554
#> UNADJ19 20 UNADJ -0.4473022 0.03605583 1.005547e-28 1.0852282
#> DIRECT19 20 DIRECT -0.3563159 0.06085311 1.358795e-08 0.8423428
#> COCA19 20 COCA 3.0808440 1.47891397 3.723482e-02 -2.8467351
#> IV2SLS19 20 IV2SLS -0.1561936 0.02941550 2.264399e-07 0.6410948
#> PGC19 20 PGC -0.3931792 0.04423350 6.358875e-17 0.7644817
#> NIE_se NIE_p TE TE_se TE_p alpha_M
#> UNADJ 0.03971661 5.764026e-132 0.6141420 0.05390438 4.522112e-30 0.7701526
#> DIRECT 0.05913354 7.674138e-34 0.4832696 0.08496440 1.286055e-08 0.6755303
#> COCA 1.21297133 3.105569e-02 0.2528851 1.72318783 8.833260e-01 0.4835763
#> IV2SLS 0.03480914 3.800776e-70 0.4987126 0.04501232 1.578055e-28 0.8041621
#> PGC 0.04451757 2.593299e-53 0.3756850 0.06314762 2.692681e-09 0.5903425
#> UNADJ1 0.04521770 3.013816e-222 0.7594438 0.05801039 3.681955e-39 0.7701526
#> DIRECT1 0.06386469 1.604236e-80 0.5770680 0.08818446 5.994516e-11 0.6755303
#> COCA1 4.63084189 2.451036e-01 0.2239840 6.55666235 9.727485e-01 0.4835763
#> IV2SLS1 0.04224587 1.043492e-79 0.5508130 0.05347696 7.045705e-25 0.8041621
#> PGC1 0.04820099 1.265061e-110 0.4183901 0.06584894 2.100778e-10 0.5903425
#> UNADJ2 0.04525469 7.006011e-174 0.6998648 0.05988325 1.482688e-31 0.7701526
#> DIRECT2 0.06590865 3.816221e-53 0.5605762 0.09319159 1.795444e-09 0.6755303
#> COCA2 3.81363765 1.787572e-01 0.2264765 5.40148321 9.665556e-01 0.4835763
#> IV2SLS2 0.04072351 4.864007e-75 0.4967545 0.05209506 1.491094e-21 0.8041621
#> PGC2 0.04946451 5.019435e-77 0.3917645 0.06910572 1.435830e-08 0.5903425
#> UNADJ3 0.04002817 2.160313e-162 0.6168905 0.05334352 6.236316e-31 0.7701526
#> DIRECT3 0.05863151 1.603587e-56 0.4648083 0.08266499 1.878926e-08 0.6755303
#> COCA3 NA NA NA NA NA NA
#> IV2SLS3 0.03590405 6.130423e-70 0.4787772 0.04644918 6.514125e-25 0.8041621
#> PGC3 0.04445667 3.583375e-74 0.3585394 0.06222475 8.311992e-09 0.5903425
#> UNADJ4 0.03701115 2.853431e-143 0.5984316 0.04989647 3.844773e-33 0.7701526
#> DIRECT4 0.05580423 4.093848e-45 0.4731274 0.07943826 2.586234e-09 0.6755303
#> COCA4 7.33672123 3.400797e-01 0.2474457 10.38236721 9.809856e-01 0.4835763
#> IV2SLS4 0.03390821 2.880405e-74 0.5023202 0.04345131 6.530406e-31 0.8041621
#> PGC4 0.04139018 4.191238e-61 0.3702583 0.05842189 2.332763e-10 0.5903425
#> UNADJ5 0.03767446 2.303527e-137 0.5908405 0.05096970 4.524681e-31 0.7701526
#> DIRECT5 0.05605607 1.660473e-40 0.4760685 0.08010264 2.794585e-09 0.6755303
#> COCA5 3.17645791 1.593182e-01 0.2411142 4.49923755 9.572618e-01 0.4835763
#> IV2SLS5 0.03377634 6.696859e-74 0.4816230 0.04331756 1.020573e-28 0.8041621
#> PGC5 0.04218636 5.394244e-57 0.3617223 0.05970156 1.371061e-09 0.5903425
#> UNADJ6 0.04288543 1.972446e-204 0.7379258 0.05566178 4.092871e-40 0.7701526
#> DIRECT6 0.06161860 8.096252e-74 0.5784421 0.08558793 1.394720e-11 0.6755303
#> COCA6 NA NA NA NA NA NA
#> IV2SLS6 0.04061780 6.267408e-83 0.5658772 0.05103741 1.442639e-28 0.8041621
#> PGC6 0.04616534 7.941549e-98 0.4257886 0.06361604 2.184887e-11 0.5903425
#> UNADJ7 0.04145935 6.467811e-163 0.6599131 0.05523307 6.667630e-33 0.7701526
#> DIRECT7 0.06080167 9.205162e-49 0.5072422 0.08628851 4.141415e-09 0.6755303
#> COCA7 2.21659967 9.946074e-02 0.2402919 3.14248865 9.390488e-01 0.4835763
#> IV2SLS7 0.03705889 2.340276e-73 0.5209984 0.04758462 6.727374e-28 0.8041621
#> PGC7 0.04552295 8.926501e-70 0.3847067 0.06389875 1.738070e-09 0.5903425
#> UNADJ8 0.03992424 4.640919e-220 0.6730241 0.05129328 2.492957e-39 0.7701526
#> DIRECT8 0.05801583 4.927059e-81 0.5153202 0.08007187 1.228892e-10 0.6755303
#> COCA8 NA NA NA NA NA NA
#> IV2SLS8 0.03827197 2.472371e-78 0.5077898 0.04859803 1.484296e-25 0.8041621
#> PGC8 0.04269337 5.395598e-110 0.3743769 0.05834985 1.398347e-10 0.5903425
#> UNADJ9 0.04160007 5.597072e-188 0.6530156 0.05456355 5.228514e-33 0.7701526
#> DIRECT9 0.06002792 1.573089e-64 0.5396497 0.08405508 1.361029e-10 0.6755303
#> COCA9 NA NA NA NA NA NA
#> IV2SLS9 0.03845864 1.455601e-79 0.4796946 0.04869891 6.839899e-23 0.8041621
#> PGC9 0.04560346 2.342890e-91 0.3674113 0.06311363 5.834798e-09 0.5903425
#> UNADJ10 0.03716652 4.944603e-145 0.5626536 0.05005315 2.561032e-29 0.7701526
#> DIRECT10 0.05613812 3.923067e-47 0.4457395 0.07977896 2.307848e-08 0.6755303
#> COCA10 NA NA NA NA NA NA
#> IV2SLS10 0.03369965 1.231427e-69 0.4536336 0.04362612 2.526331e-25 0.8041621
#> PGC10 0.04194634 1.217563e-67 0.3398085 0.05895946 8.242353e-09 0.5903425
#> UNADJ11 0.04312215 1.813841e-203 0.7214779 0.05600381 5.636121e-38 0.7701526
#> DIRECT11 0.06173564 3.609171e-74 0.5674853 0.08572411 3.594349e-11 0.6755303
#> COCA11 NA NA NA NA NA NA
#> IV2SLS11 0.04050838 3.019520e-81 0.5486093 0.05109754 6.858842e-27 0.8041621
#> PGC11 0.04690961 8.702519e-103 0.4157896 0.06442638 1.091399e-10 0.5903425
#> UNADJ12 0.04606958 8.211652e-203 0.7296649 0.05985699 3.508374e-34 0.7701526
#> DIRECT12 0.06477362 3.561221e-65 0.5461882 0.09064980 1.688429e-09 0.6755303
#> COCA12 1.41800271 5.764178e-02 0.2087550 2.01390719 9.174418e-01 0.4835763
#> IV2SLS12 0.04093158 1.252557e-74 0.4979093 0.05240918 2.090415e-21 0.8041621
#> PGC12 0.04876164 1.144850e-90 0.3854257 0.06751532 1.138328e-08 0.5903425
#> UNADJ13 0.04209830 3.993715e-160 0.6384698 0.05618003 6.267194e-30 0.7701526
#> DIRECT13 0.06249394 1.122802e-51 0.5226757 0.08847302 3.468295e-09 0.6755303
#> COCA13 NA NA NA NA NA NA
#> IV2SLS13 0.03834011 1.031896e-73 0.4807638 0.04919099 1.464382e-22 0.8041621
#> PGC13 0.04713515 3.113054e-77 0.3747718 0.06584252 1.256025e-08 0.5903425
#> UNADJ14 0.04225613 2.275015e-171 0.6500015 0.05600247 3.812224e-31 0.7701526
#> DIRECT14 0.06294099 8.038551e-56 0.4874880 0.08879378 4.016755e-08 0.6755303
#> COCA14 4.46940857 2.209992e-01 0.2112221 6.32828256 9.733736e-01 0.4835763
#> IV2SLS14 0.03830274 3.105762e-68 0.4824787 0.04973615 2.992438e-22 0.8041621
#> PGC14 0.04638427 1.369677e-76 0.3658924 0.06482079 1.654925e-08 0.5903425
#> UNADJ15 0.04136436 1.558009e-184 0.6883529 0.05437231 9.851062e-37 0.7701526
#> DIRECT15 0.05891966 1.192573e-58 0.5213927 0.08292068 3.218956e-10 0.6755303
#> COCA15 1.11105002 3.965186e-02 0.2424475 1.57912643 8.779782e-01 0.4835763
#> IV2SLS15 0.03717314 3.014340e-78 0.5294690 0.04721191 3.452260e-29 0.8041621
#> PGC15 0.04457051 6.602833e-81 0.3949032 0.06211075 2.043320e-10 0.5903425
#> UNADJ16 0.04412399 1.056300e-194 0.6940187 0.05762764 2.107345e-33 0.7701526
#> DIRECT16 0.06321488 5.161755e-63 0.5186176 0.08863338 4.878420e-09 0.6755303
#> COCA16 1.68653764 7.435485e-02 0.2052897 2.39327276 9.316430e-01 0.4835763
#> IV2SLS16 0.03953436 1.478109e-72 0.4927837 0.05085303 3.313928e-22 0.8041621
#> PGC16 0.04703838 5.178396e-86 0.3712006 0.06533022 1.331959e-08 0.5903425
#> UNADJ17 0.04577666 1.159651e-223 0.7701570 0.05867260 2.326037e-39 0.7701526
#> DIRECT17 0.06361770 1.911409e-75 0.5492558 0.08823845 4.825492e-10 0.6755303
#> COCA17 0.85219894 3.480042e-02 0.2263389 1.21376922 8.520714e-01 0.4835763
#> IV2SLS17 0.04125739 2.738698e-76 0.5412871 0.05263077 8.267307e-25 0.8041621
#> PGC17 0.04701200 5.906994e-101 0.4058393 0.06464676 3.434012e-10 0.5903425
#> UNADJ18 0.03800050 9.639934e-120 0.5650429 0.05194558 1.474026e-27 0.7701526
#> DIRECT18 0.05734963 2.771461e-33 0.4403099 0.08243876 9.240777e-08 0.6755303
#> COCA18 1.65086254 5.621638e-02 0.2360492 2.34206784 9.197198e-01 0.4835763
#> IV2SLS18 0.03317186 1.079641e-65 0.4589211 0.04330984 3.102258e-26 0.8041621
#> PGC18 0.04277174 5.374192e-46 0.3450930 0.06095066 1.497565e-08 0.5903425
#> UNADJ19 0.04063381 3.849690e-157 0.6379260 0.05432430 7.678730e-32 0.7701526
#> DIRECT19 0.06002773 9.852865e-45 0.4860270 0.08547766 1.300407e-08 0.6755303
#> COCA19 1.46794073 5.246833e-02 0.2341090 2.08375538 9.105463e-01 0.4835763
#> IV2SLS19 0.03601982 7.272943e-71 0.4849012 0.04650482 1.868840e-25 0.8041621
#> PGC19 0.04466654 1.141092e-65 0.3713025 0.06286257 3.492917e-09 0.5903425
#> alpha_se beta_M beta_M_se NDE_significant NIE_significant
#> UNADJ 0.01578750 1.2605957 0.04462821 TRUE TRUE
#> DIRECT 0.01693749 1.0614836 0.08339248 TRUE TRUE
#> COCA 0.01708275 -5.4088693 2.50104700 TRUE TRUE
#> IV2SLS 0.02963396 0.7664056 0.03280324 TRUE TRUE
#> PGC 0.01299622 1.1590634 0.07096153 TRUE TRUE
#> UNADJ1 0.01578750 1.8684716 0.04449854 TRUE TRUE
#> DIRECT1 0.01693749 1.7965651 0.08311900 TRUE TRUE
#> COCA1 0.01708275 -11.1306997 9.56816306 FALSE FALSE
#> IV2SLS1 0.02963396 0.9931395 0.03768841 TRUE TRUE
#> PGC1 0.01299622 1.8246894 0.07108418 TRUE TRUE
#> UNADJ2 0.01578750 1.6518752 0.04802266 TRUE TRUE
#> DIRECT2 0.01693749 1.4971627 0.09005537 TRUE TRUE
#> COCA2 0.01708275 -10.6038792 7.87741958 FALSE FALSE
#> IV2SLS2 0.02963396 0.9281938 0.03734363 TRUE TRUE
#> PGC2 0.01299622 1.5564799 0.07646281 TRUE TRUE
#> UNADJ3 0.01578750 1.4114066 0.04317674 TRUE TRUE
#> DIRECT3 0.01693749 1.3749559 0.07965309 TRUE TRUE
#> COCA3 NA NA NA NA NA
#> IV2SLS3 0.02963396 0.7893099 0.03387315 TRUE TRUE
#> PGC3 0.01299622 1.3720836 0.06898316 TRUE TRUE
#> UNADJ4 0.01578750 1.2247550 0.04097720 TRUE TRUE
#> DIRECT4 0.01693749 1.1643354 0.07727769 TRUE TRUE
#> COCA4 0.01708275 -14.4740115 15.16317925 FALSE FALSE
#> IV2SLS4 0.02963396 0.7687649 0.03123137 TRUE TRUE
#> PGC4 0.01299622 1.1562869 0.06532795 TRUE TRUE
#> UNADJ5 0.01578750 1.2203602 0.04203770 TRUE TRUE
#> DIRECT5 0.01693749 1.1057042 0.07821281 TRUE TRUE
#> COCA5 0.01708275 -9.2445527 6.56055727 FALSE FALSE
#> IV2SLS5 0.02963396 0.7638349 0.03117462 TRUE TRUE
#> PGC5 0.01299622 1.1369476 0.06693407 TRUE TRUE
#> UNADJ6 0.01578750 1.6988796 0.04345017 TRUE TRUE
#> DIRECT6 0.01693749 1.6578640 0.08119330 TRUE TRUE
#> COCA6 NA NA NA NA NA
#> IV2SLS6 0.02963396 0.9744297 0.03552168 TRUE TRUE
#> PGC6 0.01299622 1.6415087 0.06935041 TRUE TRUE
#> UNADJ7 0.01578750 1.4642560 0.04468768 TRUE TRUE
#> DIRECT7 0.01693749 1.3209123 0.08369096 TRUE TRUE
#> COCA7 0.01708275 -7.5516307 4.57599506 FALSE FALSE
#> IV2SLS7 0.02963396 0.8349009 0.03430934 TRUE TRUE
#> PGC7 0.01299622 1.3616106 0.07104823 TRUE TRUE
#> UNADJ8 0.01578750 1.6415200 0.03943363 TRUE TRUE
#> DIRECT8 0.01693749 1.6373439 0.07543447 TRUE TRUE
#> COCA8 NA NA NA NA NA
#> IV2SLS8 0.02963396 0.8917374 0.03442638 TRUE TRUE
#> PGC8 0.01299622 1.6115025 0.06302009 TRUE TRUE
#> UNADJ9 0.01578750 1.5795426 0.04323467 TRUE TRUE
#> DIRECT9 0.01693749 1.5072376 0.08042409 TRUE TRUE
#> COCA9 NA NA NA NA NA
#> IV2SLS9 0.02963396 0.9032670 0.03433978 TRUE TRUE
#> PGC9 0.01299622 1.5658785 0.06913094 TRUE TRUE
#> UNADJ10 0.01578750 1.2375400 0.04105280 TRUE TRUE
#> DIRECT10 0.01693749 1.1982621 0.07748133 TRUE TRUE
#> COCA10 NA NA NA NA NA
#> IV2SLS10 0.02963396 0.7391987 0.03184555 TRUE TRUE
#> PGC10 0.01299622 1.2347587 0.06564905 TRUE TRUE
#> UNADJ11 0.01578750 1.7041847 0.04375679 TRUE TRUE
#> DIRECT11 0.01693749 1.6650584 0.08129552 TRUE TRUE
#> COCA11 NA NA NA NA NA
#> IV2SLS11 0.02963396 0.9616613 0.03579990 TRUE TRUE
#> PGC11 0.01299622 1.7105698 0.06997182 TRUE TRUE
#> UNADJ12 0.01578750 1.8177001 0.04679610 TRUE TRUE
#> DIRECT12 0.01693749 1.6347445 0.08668361 TRUE TRUE
#> COCA12 0.01708275 -5.5667619 2.92572343 TRUE FALSE
#> IV2SLS12 0.02963396 0.9303135 0.03762273 TRUE TRUE
#> PGC12 0.01299622 1.6678589 0.07398924 TRUE TRUE
#> UNADJ13 0.01578750 1.4738704 0.04555360 TRUE TRUE
#> DIRECT13 0.01693749 1.3991470 0.08560152 TRUE TRUE
#> COCA13 NA NA NA NA NA
#> IV2SLS13 0.02963396 0.8659115 0.03542444 TRUE TRUE
#> PGC13 0.01299622 1.4852289 0.07284186 TRUE TRUE
#> UNADJ14 0.01578750 1.5311081 0.04500333 TRUE TRUE
#> DIRECT14 0.01693749 1.4665427 0.08561009 TRUE TRUE
#> COCA14 0.01708275 -11.3115552 9.23376467 FALSE FALSE
#> IV2SLS14 0.02963396 0.8314341 0.03646820 TRUE TRUE
#> PGC14 0.01299622 1.4553152 0.07174309 TRUE TRUE
#> UNADJ15 0.01578750 1.5559742 0.04321250 TRUE TRUE
#> DIRECT15 0.01693749 1.4083375 0.07975232 TRUE TRUE
#> COCA15 0.01708275 -4.7269214 2.29149336 TRUE TRUE
#> IV2SLS15 0.02963396 0.8656468 0.03345511 TRUE TRUE
#> PGC15 0.01299622 1.4382443 0.06853937 TRUE TRUE
#> UNADJ16 0.01578750 1.7054059 0.04539021 TRUE TRUE
#> DIRECT16 0.01693749 1.5679496 0.08491971 TRUE TRUE
#> COCA16 0.01708275 -6.2234188 3.48069916 FALSE FALSE
#> IV2SLS16 0.02963396 0.8856706 0.03676555 TRUE TRUE
#> PGC16 0.01299622 1.5661535 0.07183391 TRUE TRUE
#> UNADJ17 0.01578750 1.8976376 0.04494123 TRUE TRUE
#> DIRECT17 0.01693749 1.7308950 0.08357868 TRUE TRUE
#> COCA17 0.01708275 -3.7196064 1.75737902 TRUE TRUE
#> IV2SLS17 0.02963396 0.9483576 0.03756120 TRUE TRUE
#> PGC17 0.01299622 1.6986636 0.07030878 TRUE TRUE
#> UNADJ18 0.01578750 1.1480143 0.04336781 TRUE TRUE
#> DIRECT18 0.01693749 1.0204926 0.08094816 TRUE TRUE
#> COCA18 0.01708275 -6.5182723 3.40608734 TRUE FALSE
#> IV2SLS18 0.02963396 0.7061432 0.03200690 TRUE TRUE
#> PGC18 0.01299622 1.0315289 0.06880162 TRUE TRUE
#> UNADJ19 0.01578750 1.4091080 0.04415108 TRUE TRUE
#> DIRECT19 0.01693749 1.2469357 0.08317857 TRUE TRUE
#> COCA19 0.01708275 -5.8868378 3.02846139 TRUE FALSE
#> IV2SLS19 0.02963396 0.7972208 0.03381158 TRUE TRUE
#> PGC19 0.01299622 1.2949799 0.07008573 TRUE TRUE