1. Version 1. mnar_growth_curve_modeling_mar_03_2010.pdf

1. MNAR data for a regression model

• MNAR data generation
• A simulated example (single replication)
• Using Mplus Input file Data

#WinBUGS codes generated by BAUW: http://bauw.psychstat.org
#USE WITH CAUTION!

Model{
  # Model specification for linear growth curve model
  for (i in 1:N){
    LS[i,1:2]~dmnorm(muLS[i,1:2], Inv_cov[1:2,1:2])
    muLS[i,1]<-bL[1]
    muLS[i,2]<-bS[1]
    for (t in 1:5){
      y[i, t] ~ dnorm(muY[i,t], Inv_Sig_e2)
      muY[i,t]<-LS[i,1]+LS[i,2]*t

      ## missing data mechanism
      m[i,t]~dbern(p[i,t])
      p[i,t]<-phi(gam[t,1]+gam[t,2]*LS[i,1]+gam[t,3]*LS[i,2])
    }
  }

  #Priors for model parameter
  for (i in 1:1){
    bL[i] ~ dnorm(0, 1.0E-6)
    bS[i] ~ dnorm(0, 1.0E-6)
  }
  for (i in 1:3){
     for (t in 1:5){
         gam[t,i]~dnorm(0, .001)
     }
   }
  Inv_cov[1:2,1:2]~dwish(R[1:2,1:2], 2)
  R[1,1]<-1
  R[2,2]<-1
  R[2,1]<-R[1,2]
  R[1,2]<-0
  Inv_Sig_e2 ~ dgamma(.001, .001)
  Sig_e2 <- 1/Inv_Sig_e2
  Cov[1:2,1:2]<-inverse(Inv_cov[1:2,1:2])
  Sig_L2 <- Cov[1,1]
  Sig_S2 <- Cov[2,2]
  Cov_LS <- Cov[1,2]
  rho_LS <- Cov[1,2]/sqrt(Cov[1,1]*Cov[2,2])
}

# The (naive) starting values for model parameters.
list(bL=c(50), bS = c(1), Inv_Sig_e2 = 1, Inv_cov= structure(.Data = c(.01,0,0,.04),.Dim=c(2,2)))

# Please put your data here. Remeber you can convert your data by BAUW--Convert Data. :)
list(N=500, y = structure(.Data = c( 52.04084, NA, NA, NA, NA, 46.22786, 49.8502, 
53.2156, 37.66604, 23.87618, 51.50734, 58.62922, 53.93973, 70.01563, 72.81834, 
44.17955, 51.66322, 58.15685, 56.18519, 62.29086, 56.88823, 50.19062, 61.69384, 
53.29598, 37.74161, 52.17577, 45.65353, 62.98809, 58.94877, 54.83986, 58.90236, 
56.60083, 51.437, 52.02412, 54.21588, 35.47236, NA, NA, NA, NA, 11.79641, NA, 
NA, NA, NA, 54.08347, 44.28441, NA, NA, NA, 33.82699, NA, NA, NA, NA, 44.98075, 
NA, NA, NA, NA, 66.35896, 74.07255, 72.06244, 73.99335, 82.78852, 54.91474, 
48.66771, 53.74098, 51.69266, 57.82451, 38.25206, 36.07732, 33.27169, 34.65741, 
40.03183, 41.28326, 46.71774, 37.57483, 39.80266, 42.53817, 28.71778, 33.81341, 
23.99544, 32.95609, 28.18668, 64.638, 53.04618, 53.58385, 49.73195, 32.24192, 
51.75885, NA, NA, NA, NA, 43.05827, 50.94787, 54.71113, 58.05426, 54.71471, 
21.8804, NA, NA, NA, NA, 39.0358, 51.77267, 48.63933, 54.33906, 50.9995, 
54.61013, 58.19302, 50.56497, 53.8452, 58.04066, 65.91542, 62.55371, 55.58997, 
47.43156, 52.49396, 61.78179, 68.3491, NA, NA, NA, 50.06832, 50.06359, 
42.63908, NA, NA, 49.87441, 46.68008, 46.98792, 50.20556, 51.84792, 38.47878, 
NA, NA, NA, NA, 59.34345, 50.72404, 58.75254, 55.19395, 41.51457, 30.56482, 
30.60887, 38.69241, 39.47605, 47.53923, 47.20295, 41.43455, 52.37486, 59.24475, 
55.39179, 37.62605, 39.67256, 47.33101, 51.62201, 53.2958, 64.29046, 54.24889, 
59.87041, 66.06149, 74.83781, 68.85799, 69.66025, 66.1693, 73.58693, 70.4852, 
62.26297, NA, NA, NA, NA, 71.45031, 84.00845, 80.36153, 70.98308, 81.30844, 
60.84548, 56.1148, 61.69538, 69.03067, 63.5932, 71.09272, 61.60138, 56.18974, 
52.7382, 50.32917, 26.06239, 33.1365, 28.70575, NA, NA, 44.33103, 39.12091, 
35.6415, NA, NA, 43.83375, 40.37431, NA, NA, NA, 51.39125, 57.90274, 62.83832, 
74.51006, 78.00199, 45.72257, 42.34366, 40.92806, 34.92993, NA, 36.27603, NA, 
NA, NA, NA, 48.32362, 47.17002, 56.16072, 53.28601, 61.34329, 34.18084, 
34.66101, 31.57432, NA, NA, 39.87393, 35.99071, 32.04473, 18.72039, 17.69114, 
64.03184, 42.8197, 52.60205, 41.68263, 29.66631, 51.84652, NA, NA, NA, NA, 
52.46542, 74.21731, 76.47234, 88.2175, 97.89369, 40.08429, 36.1767, 35.05084, 
41.32654, 41.10171, 55.15795, 57.56907, 49.60837, 48.54748, 40.71797, 51.85968, 
56.03662, 61.02404, 47.02374, 49.49952, 43.75577, 48.50004, 54.27944, 50.12088, 
70.9877, 34.95521, 34.54505, 30.56622, 33.53077, 39.93225, 44.9498, 50.05787, 
63.29462, 54.04047, NA, 48.24016, 58.13414, 61.38671, 72.00033, 74.33821, 
45.89228, 48.23106, 44.60883, 52.86381, 47.05809, 21.38709, NA, NA, NA, NA, 
61.55569, 60.12157, 60.72907, 66.37065, 67.20006, 61.1418, 58.95402, 52.02254, 
62.07091, 55.08053, 55.78106, 47.22411, 33.77836, 18.56049, -10.03297, 
46.36139, 42.89327, 44.83295, 34.41661, 38.63826, 60.55502, 54.41746, 46.9754, 
27.54058, 21.94141, 44.09955, 43.83159, 34.77665, 23.01784, NA, 62.06722, 
60.61719, 67.58736, 63.02251, 65.93661, 45.63824, 49.05109, 56.48516, 63.7897, 
65.39812, 43.80553, 39.99109, 38.70780, 38.29263, 48.66764, 60.17749, 69.41727, 
67.70496, 76.62163, 88.33885, 45.11499, 51.3951, 38.49143, 36.85899, 12.70261, 
44.08926, 51.00242, 53.65903, 31.17569, 36.21529, 56.34073, 46.68375, 37.53242, 
34.31143, 31.52389, 64.67023, 52.27457, 61.22643, 63.7485, 67.39445, 36.42217, 
38.77851, 39.27255, 48.04008, 33.63162, 45.77028, 45.8719, 40.55985, 28.84365, 
26.80317, 63.85352, 57.43422, 57.34388, 62.68695, 55.49768, 44.94303, 44.61122, 
46.26245, 47.07229, 47.64855, 55.20563, 43.44611, 45.04218, 55.68692, 42.18723, 
39.01274, 36.77881, 36.14481, NA, NA, 40.00109, 46.32202, 50.56099, 50.49449, 
66.01139, 54.71257, 39.15428, 19.14050, 14.13726, -1.587687, 57.19298, 
48.29401, 47.26185, 45.62089, 29.57598, 49.37981, 52.32703, 55.23667, 42.74973, 
47.98548, 47.65889, 52.62686, 37.99325, 38.79315, 33.78514, 56.20999, 54.27473, 
43.888, 30.85023, 39.35212, 40.14407, NA, NA, NA, NA, 60.62495, NA, NA, NA, NA, 
54.94499, 37.80714, 38.93917, 37.8006, NA, 57.91072, 49.93166, 48.55717, 
47.16151, 56.6693, 62.75725, NA, NA, NA, NA, 47.81458, 51.76557, 49.73938, 
55.87562, 48.25303, 52.18478, 51.42029, 38.85526, NA, NA, 67.39341, 65.58012, 
68.42452, 57.10705, 60.02135, 60.48955, 56.19856, 55.73538, 55.13435, 62.23524, 
54.46804, 38.55764, 34.58182, 31.34989, NA, 56.4331, 49.22479, 43.13944, 
28.46290, NA, 60.24958, 49.5679, 44.30263, 32.39040, NA, 48.47814, 46.3257, NA, 
NA, NA, 53.91218, 49.539, 51.84532, 45.68189, 37.51751, 51.386, 57.97414, 
57.73248, 59.14313, 51.3982, 66.74533, 52.16806, 45.7913, NA, NA, 64.2942, 
62.06824, 63.7077, 67.06995, 77.30692, 61.76887, 60.15044, 66.15992, 70.87782, 
76.71044, 64.05747, 71.57766, 89.23795, 98.08452, 107.0938, 43.15367, 37.42547, 
39.3999, 28.24419, 18.32939, 30.68183, 24.82197, NA, NA, NA, 60.20643, 60.1437, 
48.24143, NA, NA, 43.39775, 44.61553, 43.02834, 47.71638, 47.75101, 60.86441, 
53.28087, 43.01959, 37.15788, 28.84006, 38.49672, 19.59322, NA, NA, NA, 
41.15703, NA, NA, NA, NA, 42.41072, 46.94899, 39.54229, 44.46816, 35.96056, 
38.54124, 47.35395, 46.95842, 50.64257, 54.99588, 42.6334, 46.19116, 41.82631, 
52.73375, 64.28625, 67.41012, 66.46704, 64.5852, 54.06204, NA, 77.82295, 
80.31011, 83.55436, 80.7117, 92.2219, 54.71274, 60.59969, 62.83071, 74.58327, 
65.52051, 53.0087, 42.72685, 52.48356, 52.73802, 64.16323, 51.51537, 66.71341, 
68.28186, 67.3346, 73.25051, 51.69448, 55.75882, 51.96026, 55.81001, 56.36055, 
48.08968, 38.83925, 39.00289, 35.53933, 36.44108, 42.70404, 48.53456, 32.37244, 
32.8293, 21.16900, 44.34625, 47.02636, NA, NA, NA, 69.98246, 60.25357, 
59.41964, 64.20281, 70.01236, 57.38469, 56.12938, 72.33701, 70.87118, 73.56491, 
63.39904, 72.65327, 74.2971, 79.30216, 89.43014, 48.46142, 52.00954, 69.66144, 
73.56687, 65.18538, 25.82572, NA, NA, NA, NA, 49.9276, 36.26339, 35.71547, 
24.47230, NA, 44.13237, 39.96028, 36.33112, 40.19972, 52.06185, 49.69167, 
55.34405, 64.16338, 87.85762, 105.2577, 47.48021, 54.60597, NA, NA, NA, 
67.13332, 65.23317, 76.72501, 89.8084, 96.16881, 46.48443, 60.98364, 68.91603, 
63.27554, 89.08019, 64.48503, 63.33715, 50.77685, 50.21106, 43.29725, 53.63709, 
49.75615, 52.97597, 52.71447, 54.17675, 34.00906, 41.64932, 40.2033, 37.7773, 
37.77782, 46.02794, 40.61264, NA, NA, NA, 43.77226, 44.79959, 42.35259, 
47.23243, 46.76233, 45.40184, 43.57566, 26.24251, 34.03046, 27.68483, 44.87073, 
43.16053, 33.29101, 34.452, 29.39618, 54.631, 54.96798, 62.63889, 63.47897, 
73.9188, 49.809, 61.77311, 62.69589, 70.75834, 83.48271, 59.6092, 42.66917, 
36.08943, 36.71809, NA, 73.61046, 69.91086, 60.30735, 57.52415, 51.84833, 
30.41272, 54.75942, 53.07982, 74.9953, 83.54686, 59.08459, 59.20911, 61.08138, 
55.23371, 43.03408, 63.35117, 55.40301, 64.76688, 90.03787, 84.87616, 47.1608, 
42.53816, 56.25326, 59.98751, 59.42438, 63.5118, 65.47068, 68.38544, 79.5789, 
83.91821, 44.50243, 37.38968, 43.94727, NA, NA, 36.90306, 42.43408, 41.80952, 
36.32420, 45.11125, 43.66009, 48.87678, 47.81108, 51.0805, 60.46254, 50.3111, 
38.37296, 31.82598, NA, NA, 36.68916, 26.16835, NA, NA, NA, 45.18414, 45.05367, 
54.8816, NA, NA, 46.21002, 45.2687, 33.18369, 36.92683, 26.50217, 50.41274, 
47.94572, 64.74527, NA, NA, 58.93128, NA, NA, NA, NA, 67.52885, 53.56772, 
46.81913, 45.97747, 41.81282, 53.56503, 45.58969, 51.42442, 48.95946, 46.30748, 
66.24827, 59.82375, 57.03728, 58.64867, 61.29086, 52.55105, 40.39038, 28.13481, 
35.58665, NA, 39.95994, 26.71449, NA, NA, NA, 68.50926, 77.33616, 71.1, 
66.85325, 72.5191, 53.7419, 61.41441, 68.81319, NA, NA, 40.20371, 50.81716, 
66.34581, 59.11452, 59.57581, 64.56487, 54.93006, 56.25245, 48.19645, 44.80577, 
64.09099, 69.02773, 71.13952, 89.94095, 91.59833, 31.77525, 19.84079, NA, NA, 
NA, 42.68084, 39.33769, 35.62988, 29.01848, 26.06839, 69.71645, 58.96117, 
65.4703, 56.97593, 56.84344, 38.54963, 43.76688, 42.31159, NA, NA, 33.71419, 
36.82768, 38.24599, 31.83779, 33.2367, 58.48089, 45.79542, 45.55321, 46.67961, 
48.65595, 55.13318, 59.2288, 56.23316, 57.82323, 61.87346, 57.06277, 50.14449, 
42.30726, 56.51805, 54.31008, 56.68906, 48.87573, 38.17403, 33.15804, 35.40492, 
51.50215, 60.17279, 50.99795, 42.60431, 27.66799, 37.59811, 42.83439, 45.93274, 
39.38823, 42.04416, 55.70937, 41.30367, NA, NA, NA, 54.03945, 56.02941, 
47.70443, 53.55497, 39.98001, 69.05585, 69.19788, 79.02532, 72.29589, 68.97558, 
48.2763, 45.96635, 46.72766, 30.01816, 18.81294, 39.57639, 44.65583, 47.10449, 
40.92189, 35.87991, 62.97718, 41.97328, 38.40795, 38.36422, 27.96462, 69.06704, 
73.04166, 70.40523, 73.33528, 78.21902, 72.37563, 71.71765, 66.41155, 57.53155, 
74.73861, 40.36646, 59.10559, 52.41982, 52.56635, 68.64264, 35.65204, NA, NA, 
NA, NA, 61.50876, 69.0397, 59.85802, 84.09989, 79.77749, 41.78436, NA, NA, NA, 
NA, 62.13231, 59.51907, 58.10982, 50.93218, NA, 45.01172, 47.47464, 46.28271, 
48.19527, 42.51116, 53.27912, 43.17294, 49.55031, 38.94217, 48.93405, 46.2163, 
37.53457, 27.7241, NA, NA, 51.70226, 45.9756, 43.01611, 44.68080, 37.15147, 
59.57282, 50.56423, 50.1206, 52.79035, 60.34865, 41.58826, 34.77718, NA, NA, 
NA, 46.28576, NA, NA, NA, NA, 68.88772, 62.28404, 59.3159, 46.03804, 46.00236, 
62.66968, 70.96702, 55.84259, 48.77173, 59.25365, 57.49945, 66.25541, 69.49302, 
73.21805, 73.64922, 60.9451, NA, NA, NA, NA, 46.73001, 39.89866, 28.74457, 
47.70964, 35.69909, 24.51153, 38.32897, 51.99886, 48.91596, 59.23939, 36.5767, 
39.32908, 34.91812, 37.6377, 31.85890, 49.21007, 63.38162, NA, NA, NA, 
55.87556, 43.02636, 36.50900, 34.80295, 36.39441, 46.01809, 46.64284, 50.83436, 
58.90515, 59.98765, 51.58742, 52.89584, 56.09942, 60.1301, 69.6243, 34.60433, 
43.3788, 55.53273, 37.99883, 40.77054, 62.30328, 49.21047, 65.46191, 50.63103, 
55.55975, 55.64393, 50.46007, 55.71117, 39.58343, 42.30181, 56.67805, 61.57622, 
57.96832, 60.49082, 60.49281, 43.19923, NA, NA, NA, NA, 64.2683, 50.19231, 
44.11472, 30.75264, 16.05865, 27.35055, 6.560677, 6.630438, -0.7695052, 
-7.107852, 51.33915, 38.64321, 34.88932, 29.02623, 26.79232, 34.84122, 
41.17030, 42.07067, 50.47685, 37.31177, 50.72804, 64.23199, 71.10421, 74.4247, 
72.11705, 61.16068, 55.58173, 53.759, NA, NA, 60.23326, 61.77019, 66.83952, 
77.97222, 87.98907, 28.82888, 33.72631, 24.01958, 25.99848, 14.58086, 55.08176, 
NA, NA, NA, NA, 28.01643, 46.2622, 44.72235, 49.98761, 53.79192, 37.69663, 
38.46792, 12.24537, NA, NA, 48.07775, 61.93455, 53.06416, 59.85657, 65.74715, 
52.07684, 50.38347, 68.35145, 60.61582, 74.17208, 49.40712, 39.38578, 42.23706, 
46.98537, 39.00299, 36.70061, NA, NA, NA, NA, 54.92153, 66.84818, 62.82284, 
56.16726, 51.1267, 52.19752, 57.7707, 55.16797, 61.39486, 70.75376, 43.38786, 
45.78433, 43.93451, 40.44557, 48.92487, 61.58731, NA, NA, NA, NA, 40.38269, 
39.62769, 42.01084, 38.13046, 41.57723, 54.05068, 61.0112, 45.65423, 37.64976, 
27.47478, 54.4664, 52.86468, 57.30886, 51.76433, 47.75543, 31.15352, NA, NA, 
NA, NA, 72.85088, 55.68709, 50.49454, 49.98754, 47.07293, 71.00247, 68.64182, 
90.32042, 83.29128, 99.08876, 31.97068, NA, NA, NA, NA, 60.45126, 58.77867, 
63.43444, 69.16328, 77.04816, 54.30495, 50.53369, 51.1213, 62.89497, 54.22905, 
61.58931, 55.34752, 46.88413, 42.01707, 36.76129, 45.77405, 53.90588, 70.56885, 
68.04675, 78.15974, 44.32522, 49.60346, 53.16415, 50.56273, 64.09639, 45.00635, 
45.3813, 36.55612, 43.45751, 32.89286, 48.41563, 40.19782, 35.6002, 29.66478, 
16.30573, 55.257, 54.46427, 55.76764, 59.24856, 53.60621, 41.75856, 39.7236, 
35.45027, 36.92902, NA, 53.14156, 39.20356, 43.52488, 40.83292, 37.85434, 
35.92984, 48.05311, NA, NA, NA, 70.13912, 55.56644, 60.48778, 67.16096, 
74.91972, 54.27772, 39.59647, 39.78053, 21.22648, NA, 41.59437, 59.74235, 
37.46634, 42.29217, 35.42214, 38.47875, 38.53746, NA, NA, NA, 60.14095, 
60.53865, 49.4401, 55.66507, 33.58983, 65.56123, NA, NA, NA, NA, 38.60008, NA, 
NA, NA, NA, 50.77108, 43.38495, 49.26965, 60.5117, 54.55873, 48.29813, 
42.78582, 33.16062, 31.53712, 28.17712, 49.30497, 38.4353, 37.33672, NA, NA, 
48.2854, 34.90281, NA, NA, NA, 35.13661, 42.49905, 40.04085, 50.93296, 
45.53079, 48.78867, 43.0542, NA, NA, NA, 53.40663, 70.33712, 74.51015, 
70.07657, 86.1248, 54.59134, 41.38673, NA, NA, NA, 52.77412, 36.84503, NA, NA, 
NA, 68.74624, 62.11873, 54.82713, 55.80207, 46.04244, 64.40747, 62.28122, 
68.9191, 69.79059, 65.77147, 52.86889, 46.97717, 38.80615, 32.70140, 32.73720, 
46.68527, 62.01549, 59.08986, 58.11313, 56.48111, 61.37097, 64.77929, 59.80159, 
77.2137, 70.60039, 54.49516, 52.43765, 59.86923, 60.29403, 64.41411, 58.76305, 
45.09729, 39.62163, 39.81676, 36.94872, 42.41939, 42.34970, 36.49814, NA, NA, 
61.75732, 54.09012, 56.03141, 59.04613, 60.57996, 46.63213, 47.48721, 40.73401, 
47.27941, 28.53064, 56.68841, NA, NA, NA, NA, 21.51488, 24.53722, 30.07314, 
28.06802, 34.77639, 54.15306, 52.82373, 55.57054, 54.4692, 57.74714, 59.3156, 
51.34632, 43.67293, 47.23235, NA, 59.20088, 58.59025, 52.81938, 49.75309, 
40.85202, 67.22256, 61.43288, 55.92507, 53.70336, 43.83957, 74.77926, 65.67103, 
64.74096, 36.11335, 36.84292, 58.89942, 61.12607, 58.8772, 72.08102, 65.33245, 
60.23662, 48.8303, 53.44486, NA, NA, 74.15754, 64.67458, 61.31856, 63.55902, 
66.76809, 65.88094, NA, NA, NA, NA, 64.33397, 59.33223, 60.06623, 64.63873, 
65.63639, 51.36251, NA, NA, NA, NA, 48.00384, 50.50593, 52.75782, 44.63623, 
57.78201, 42.36345, 43.24559, 39.90334, 32.04083, 33.72621, 49.76002, 57.21556, 
36.09482, 39.07821, 41.70665, 40.91101, 30.48964, 36.29851, 36.08104, 30.23573, 
44.31437, 57.8808, 54.39321, 78.76384, 69.76852, 52.57978, NA, NA, NA, NA, 
30.16746, 41.11143, 22.88312, 33.95884, 37.69516, 23.92298, NA, NA, NA, NA, 
30.59268, 43.50675, 46.79172, 51.19556, 61.54518, 54.19908, 48.20484, 45.57147, 
36.18067, 35.7914, 38.75791, 38.52322, 43.05105, 38.10523, 36.80754, 68.17561, 
71.22476, 70.61625, 75.57879, 79.51736, 46.68006, NA, NA, NA, NA, 52.68685, 
56.94824, 49.5273, 46.99118, 56.54884, 63.21381, 59.97028, 59.96743, 60.95648, 
74.40229, 47.19875, 53.91389, 57.023, 74.28493, 65.63498, 47.6654, 45.41889, 
48.93646, 38.22599, 34.10455, 48.31088, 50.98681, 59.59245, 52.75604, 55.25233, 
39.78685, 35.85219, 27.4412, 29.24408, NA, 55.87858, 48.27182, 53.87666, 
55.0604, 48.53432, 55.38199, NA, NA, NA, NA, 52.36401, 43.15221, 41.42002, 
39.80235, 32.01053, 47.62949, 46.08937, NA, NA, NA, 48.54719, 37.74010, 
49.78304, NA, NA, 52.81665, 54.53366, 51.33004, 55.49841, 50.59587, 35.76322, 
33.53353, 41.48261, NA, NA, 40.45025, 54.24338, 63.28384, 65.58651, 76.04852, 
44.4925, 46.66712, 39.55162, 49.07383, 46.12876, 43.68033, NA, NA, NA, NA, 
53.26878, 48.6418, 58.974, 43.87988, 62.43209, 51.13328, 54.56581, 60.79129, 
47.21071, 50.77919, 60.19518, 65.83382, 67.64758, 77.6837, 74.31003, 43.61993, 
35.43672, 24.52914, 29.96369, NA, 48.98982, 50.35512, 67.20993, 78.4587, 
77.49343, 23.76821, 38.82122, 35.87633, 49.67598, 60.4146, 64.0851, 55.44759, 
48.06367, 51.35615, 49.57767, 73.8781, 57.20211, 54.80966, 53.77513, 57.04603, 
41.91522, 36.65001, 18.13749, 13.04659, -2.340050, 57.33861, 68.39988, 
63.68038, 58.98619, 64.25457, 33.53410, NA, NA, NA, NA, 52.29081, 49.85666, NA, 
NA, NA, 33.37603, NA, NA, NA, NA, 46.14837, 43.55564, 36.36423, NA, NA, 
45.47016, 61.77343, 64.25235, 70.85917, 77.58675, 40.01522, 54.12654, 53.74587, 
53.19949, 51.36427, 66.0821, 63.93161, 63.20881, 75.66292, 80.43837, 52.8967, 
60.14658, 58.69339, 61.19813, 71.96643, 43.31956, 48.78759, 38.03856, 46.48036, 
54.10655, 59.94483, 62.98487, 72.23415, 83.69957, 91.86503, 37.43382, 39.93977, 
44.20857, 41.63459, 48.69124, 54.21346, 69.02112, 66.10991, 73.25914, 67.28607, 
35.09488, 40.45706, 33.94676, NA, NA, 52.39017, 52.89551, 47.05116, NA, NA, 
30.75248, 41.42772, 37.64559, 35.17287, 27.64779, 63.67009, 48.36727, 41.51459, 
44.41014, 33.28455, 54.38559, 39.29359, 38.9537, 33.29936, 30.52930, 38.45636, 
38.41907, 44.70339, 52.53733, 44.94503, 50.92987, 48.87245, 45.83158, 59.49211, 
62.32957, 46.31924, 42.86909, 31.89968, 31.91579, NA, 57.68329, 56.89345, 
73.85969, 80.72805, 90.03443, 59.07329, NA, NA, NA, NA, 46.07209, 43.55178, 
34.65658, NA, NA, 45.82612, 41.76781, 45.3057, NA, NA, 55.58661, 43.52282, 
33.35114, 26.99928, NA, 55.90083, 61.58173, 68.13122, 52.42935, 50.13577, 
44.63624, 37.78548, 54.34614, 48.85652, 65.05432, 52.89962, 57.40558, 72.25269, 
74.49678, 78.7231, 44.957, 46.52435, 42.69379, 53.48996, 53.72518, 30.33970, 
NA, NA, NA, NA, 58.20446, 68.95746, 54.10712, 55.87964, 54.01798, 41.64657, 
26.87711, NA, NA, NA, 55.82187, 52.7848, 40.96815, 45.19129, 42.5549, 68.81526, 
79.47728, 76.66571, 83.7841, 84.44072, 22.89052, 44.38784, 30.84216, 47.2421, 
55.34094, 63.29193, 65.86918, 72.4311, 62.33868, 61.7527, 36.17223, 44.31273, 
40.57802, 51.73805, 60.28297, 40.44428, NA, NA, NA, NA, 28.65105, 42.54099, 
54.49967, 62.61987, 82.9848, 60.01882, 56.41157, 54.48929, 62.56799, 62.39248, 
31.1365, NA, NA, NA, NA, 63.58544, 57.87397, 64.47018, 58.8546, 51.44061, 
46.96349, 57.62974, NA, NA, NA, 41.20579, 32.52398, 53.36081, 53.11143, 
51.14156, 45.87256, 48.6829, 52.33041, 57.11055, 58.6984, 54.4971, 40.15781, 
NA, NA, NA, 43.0872, 50.309, 63.59905, 68.65931, 70.6124, 67.15825, 70.38037, 
66.05052, 60.4271, 67.2676, 36.88418, 19.07025, 17.55436, -1.594382, NA, 
51.68366, 50.72087, 41.53884, 49.94538, 51.5621, 51.0694, 53.48712, 46.29971, 
35.81861, 36.18584, 45.5369, 45.2376, 51.47909, 48.8146, NA, 65.22487, 
51.43204, 51.3027, 53.43796, 36.70005, 45.54577, 39.53587, 49.08983, 53.9796, 
40.72131, 59.66324, 58.42548, 50.00541, 59.37487, 54.33245, 61.12618, 54.98653, 
66.46965, 65.49365, 73.29615, 59.60872, 53.59506, 56.30219, 63.56826, 62.87916, 
60.66007, 67.03009, 79.96125, 84.30935, 84.4705, 40.63969, NA, NA, NA, NA, 
37.26413, 38.64595, NA, NA, NA, 75.1697, 77.92119, 86.18201, 78.04559, NA, 
31.97295, 33.76687, NA, NA, NA, 45.52634, 42.08008, 40.40188, 51.68853, 
49.27172, 41.11552, 49.15122, 45.18687, 47.96586, 52.07987, 55.14231, 67.19095, 
74.25597, 77.04405, NA, 47.81264, NA, NA, NA, NA, 60.15111, 61.1471, 67.96335, 
79.54779, 74.74821, 52.4296, 53.78746, NA, NA, NA, 63.3157, 73.10438, 56.94005, 
69.75911, 65.81855, 38.71514, 48.28122, 48.67771, 46.05185, 61.96626, 49.30163, 
66.93704, 50.23224, 62.74283, 69.58801, 66.26479, 76.79663, 75.30095, 76.62564, 
99.3343, 61.45069, 54.47734, 65.15381, 67.92152, 73.22831, 58.99064, 58.43893, 
63.52669, 58.30155, 63.78769, 37.9482, NA, NA, NA, NA, 54.55462, 53.76918, 
47.13559, 38.55301, 39.93259, 44.18218, 28.43675, NA, NA, NA, 36.46505, 
42.59553, 51.77898, 48.4325, 52.10868, 38.51476, 39.3048, 35.03794, 42.0483, 
39.01601, 35.02674, 53.16678, 41.55795, 52.38771, NA, 45.41972, 37.12011, 
31.31566, NA, NA, 60.27488, 48.89946, 55.89187, 57.32216, 61.32225, 38.79851, 
37.19494, 27.41922, NA, NA, 52.98433, 57.86842, 52.23267, 64.90996, 65.05457, 
67.82727, 62.59456, 54.14859, 52.36458, 45.28180, 34.76175, NA, NA, NA, NA, 
60.71059, 38.50056, 47.03775, 30.27352, 31.82517, 49.80524, 47.67633, NA, NA, 
NA, 46.86274, 51.21055, 57.61176, 59.10904, 62.31122, 44.41828, 37.91945, 
26.94281, 27.99242, NA, 39.07789, 42.37702, 27.21203, NA, NA, 35.61349, 
35.61976, 39.53716, 33.62102, 38.69554, 50.59994, NA, NA, NA, NA, 56.21029, 
45.81946, 56.09065, 59.24519, 53.29656, 57.37881, 56.78552, 59.78033, 49.30074, 
58.19192, 44.50977, 38.99759, 31.77282, NA, NA, 58.08479, 37.91063, NA, NA, NA, 
58.16631, 43.27906, 50.43423, 41.6814, 28.78094, 51.27874, 69.4881, 49.05399, 
41.79203, 38.66613, 28.82474, 34.84873, 37.02962, 31.79365, NA, 34.15649, 
30.7931, 48.36987, 44.33508, 50.01038, 42.88869, 38.39470, NA, NA, NA, 
78.25282, 64.01927, 57.25291, 63.61386, 57.42404, 47.79409, 51.64409, 56.81343, 
68.72751, 64.9699, 58.34707, 60.73317, 63.97226, 61.91115, 56.99466, 50.83056, 
32.18842, NA, NA, NA, 56.5303, 59.05712, 52.14178, 50.56175, 50.51979, 
60.56693, 55.39567, 47.28088, 42.28305, 35.36121, 43.72821, 38.97466, 31.05812, 
NA, NA, 61.00589, 57.30863, 89.05809, 83.5946, 96.05774, 45.7266, 49.69485, 
40.15346, 51.7396, 47.61188, 40.03497, 40.00909, 33.02386, 27.46215, NA, 
37.60421, 50.91009, NA, NA, NA, 49.74914, 45.74029, 46.81071, 49.18365, 
42.81698, 48.83042, 44.37393, 47.39307, 48.80874, 57.83717, 54.94575, 66.19547, 
60.93937, 54.31678, 48.68888, 50.53918, 51.63034, 27.27808, NA, NA, 59.29338, 
39.82852, 37.34452, 32.76611, 36.36484, 63.70998, 57.03794, 66.736, 46.23053, 
55.18521, 59.80407, 62.08685, 59.09161, 54.29676, 47.78509, 49.81744, 48.25519, 
48.2118, 43.80571, 27.08392, 56.80837, 55.19894, 49.04692, 43.11234, 30.91669, 
74.21137, 69.14273, 75.58795, 69.16165, 70.88961, 50.08133, 56.50739, 50.27472, 
46.84178, 44.17234, 68.54553, 61.1212, 62.03317, 62.26322, 72.51059, 47.00354, 
53.38053, 63.35396, 63.58677, 76.52921, 70.02241, 65.55597, 63.54417, 62.75226, 
61.85406, 28.46684, 43.6405, 49.03002, 54.46622, 62.03113, 57.618, 61.2726, 
55.49207, 47.1757, 38.91649, 47.95206, 54.57161, 44.33147, 53.58506, 35.76684, 
39.96057, 41.9351, 44.74476, 42.21012, NA, 22.46616, 34.80256, NA, NA, NA, 
31.50449, NA, NA, NA, NA, 64.82545, 58.27413, 61.74142, 51.87693, 56.2253, 
62.33879, 65.16768, 51.39342, 62.49675, 56.88658, 59.39341, 55.76514, 48.06387, 
46.48087, 29.50330, 39.86964, 39.41949, 46.88441, 48.48357, 42.80864, 53.56851, 
40.01342, 40.28025, 26.09321, 27.14587, 54.00439, 42.93168, 49.95041, 57.61193, 
56.94027, 41.12984, 45.97427, 31.84961, 43.64246, 41.16796, 46.91763, 56.79037, 
59.52191, 52.73591, 55.47866, 61.44816, 65.28468, 62.46132, 73.92636, 68.92237, 
46.49569, 60.28837, 49.61734, 57.86682, 63.73298, 40.75952, 52.95987, 50.50552, 
55.50207, 59.77252, 48.05454, 51.54777, 44.67486, 40.53474, 32.44916, 64.70597, 
58.64993, 62.96124, 48.57375, 44.68686, 39.24033, 36.72633, 42.36347, 31.97537, 
25.89084, 44.96164, 58.57905, 58.33318, 55.29825, 52.06535, 58.86296, NA, NA, 
NA, NA, 71.37658, 71.93968, 81.24456, 68.67636, 71.6936, 49.65226, 49.88501, 
56.0602, 47.11542, 41.74624, 58.44745, 58.7194, 65.6135, 67.79846, 63.62066, 
80.51138, 74.53039, 66.78602, 75.50683, 58.63899, 67.13228, 64.35666, 79.17559, 
60.56722, 66.89216, 55.20887, NA, NA, NA, NA, 69.08448, 59.11767, 60.27625, 
58.57224, 60.56638, 62.94005, NA, NA, NA, NA, 57.61774, 48.31802, 36.36919, 
31.43703, NA, 42.82331, 45.99804, 40.14453, 31.25969, 36.57455, 76.59508, 
65.09372, 58.4321, 40.32514, 30.66422, 50.73202, 36.80173, 55.12099, 54.78101, 
56.92839, 73.50338, 74.49531, 69.24432, NA, NA, 41.3402, 50.43239, 57.64987, 
59.28964, 58.06072, 41.99631, 46.29182, 56.20401, 51.40289, 59.81906, 47.51829, 
49.10908, 54.62573, 57.48985, NA, 64.32888, 62.38969, 72.27491, 67.50265, 
71.03542, 65.1603, 75.97507, 76.54433, 66.79288, 70.67191, 55.22421, 60.81507, 
53.28651, 56.203, 40.30959, 31.37065, 36.29921, 25.99089, 18.62503, NA), 
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1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 
0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 
1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 
1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 
1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 
1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 
0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0), .Dim=c( 500, 5 )) )