{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this post we'll continue our SC2 replay research, [started last time](../bayes-sc2-part-1). You may want to go back to that and pick up on the terminology!\n", "\n", "To recap: we used replay data from my SC2 games over 2019 to estimate a \"true MMR\" value and infer the size of per-game fluctuations. This time, we'll redo that analysis, except to get something more useful: we'll look at the three matchups I played and infer separate MMR values for each of those. Let's dig into it!\n", "\n", "\n", "\n", "I'll redo the basic data cleaning steps here. If any of this is confusing, reviewing [the previous post](../bayes-sc2-part-1) might really be a good idea - or you could ask a question below, as always!\n", "\n", "If you take a close look, you might also find a teaser for one of the next posts in this series here :)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", " | time_played_at | \n", "win | \n", "race | \n", "enemy_race | \n", "mmr | \n", "mmr_diff | \n", "enemy_nickname | \n", "map_name | \n", "duration | \n", "enemy_mmr | \n", "expected_winrate | \n", "
---|---|---|---|---|---|---|---|---|---|---|---|
8 | \n", "2019-10-06 12:36:36+00:00 | \n", "True | \n", "Protoss | \n", "Protoss | \n", "3826 | \n", "78 | \n", "vasea | \n", "World of Sleepers LE | \n", "743 | \n", "3748 | \n", "0.550847 | \n", "
325 | \n", "2019-10-08 19:33:28+00:00 | \n", "False | \n", "Protoss | \n", "Protoss | \n", "3893 | \n", "-53 | \n", "Wavelength | \n", "Ephemeron LE | \n", "254 | \n", "3946 | \n", "0.465386 | \n", "
54 | \n", "2019-10-10 07:41:27+00:00 | \n", "False | \n", "Protoss | \n", "Zerg | \n", "3828 | \n", "26 | \n", "PereiRa | \n", "Winter's Gate LE | \n", "45 | \n", "3802 | \n", "0.517001 | \n", "
346 | \n", "2019-10-10 07:55:19+00:00 | \n", "True | \n", "Protoss | \n", "Zerg | \n", "3760 | \n", "-56 | \n", "<PROOO><sp/>Jesperpro | \n", "Thunderbird LE | \n", "801 | \n", "3816 | \n", "0.463433 | \n", "
138 | \n", "2019-10-10 20:42:11+00:00 | \n", "True | \n", "Protoss | \n", "Protoss | \n", "3827 | \n", "126 | \n", "Pippuri | \n", "Acropolis LE | \n", "697 | \n", "3701 | \n", "0.581684 | \n", "
... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "
391 | \n", "2019-12-27 20:24:27+00:00 | \n", "False | \n", "Protoss | \n", "Zerg | \n", "3933 | \n", "-100 | \n", "HiveMind | \n", "World of Sleepers LE | \n", "262 | \n", "4033 | \n", "0.434956 | \n", "
25 | \n", "2019-12-27 20:40:39+00:00 | \n", "True | \n", "Protoss | \n", "Zerg | \n", "3914 | \n", "0 | \n", "Racin | \n", "Nightshade LE | \n", "911 | \n", "3914 | \n", "0.500000 | \n", "
208 | \n", "2019-12-27 21:24:06+00:00 | \n", "True | \n", "Protoss | \n", "Terran | \n", "3936 | \n", "-41 | \n", "<DemuCl><sp/>Jazzz | \n", "Nightshade LE | \n", "1277 | \n", "3977 | \n", "0.473206 | \n", "
59 | \n", "2019-12-28 20:58:25+00:00 | \n", "True | \n", "Protoss | \n", "Terran | \n", "3959 | \n", "22 | \n", "rOoSter | \n", "Simulacrum LE | \n", "76 | \n", "3937 | \n", "0.514387 | \n", "
364 | \n", "2019-12-28 21:06:48+00:00 | \n", "True | \n", "Protoss | \n", "Zerg | \n", "3980 | \n", "-260 | \n", "contremaitre | \n", "Nightshade LE | \n", "478 | \n", "4240 | \n", "0.336192 | \n", "
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array([ 8, 325, 54, 346, 138, 405, 20, 129, 104, 46, 302, 408, 101, 219,\n", " 316, 126, 98, 231, 241, 385, 193, 198, 90, 329, 137, 200, 80, 355,\n", " 317, 33, 64, 213, 368, 49, 435, 134, 254, 330, 60, 39, 218, 109,\n", " 301, 133, 328, 181, 156, 395, 43, 249, 27, 153, 211, 420, 366, 186,\n", " 163, 63, 202, 45, 69, 31, 167, 177, 95, 151, 392, 387, 18, 286,\n", " 102, 290, 195, 428, 403, 97, 406, 412, 374, 263, 371, 41, 212, 52,\n", " 238, 345, 4, 117, 407, 56, 103, 118, 319, 57, 128, 294, 15, 273,\n", " 327, 281, 378, 121, 113, 284, 422, 389, 216, 58, 418, 309, 123, 116,\n", " 222, 122, 11, 361, 179, 255, 239, 225, 381, 424, 343, 287, 341, 184,\n", " 380, 196, 174, 306, 252, 148, 416, 391, 25, 208, 59, 364])
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array([3748, 3946, 3802, 3816, 3701, 3861, 3907, 4066, 3757, 4350, 3964,\n", " 3894, 3932, 3952, 3955, 3912, 3744, 3492, 4642, 3756, 3664, 3769,\n", " 3871, 3631, 3631, 3685, 3626, 3647, 3626, 3736, 3784, 3856, 3866,\n", " 3847, 3883, 3761, 3686, 3827, 3771, 3752, 3803, 3922, 3888, 3900,\n", " 3962, 3992, 3798, 3797, 3790, 3966, 3881, 3823, 3904, 3920, 3907,\n", " 3961, 3874, 3570, 4359, 4009, 3859, 3988, 3885, 4020, 3935, 3908,\n", " 4596, 4851, 3941, 3808, 3942, 3854, 3956, 3976, 3998, 3953, 4068,\n", " 3960, 4016, 4055, 3925, 4104, 3989, 4001, 4237, 4161, 4024, 4108,\n", " 4125, 4028, 4012, 3992, 4144, 4029, 4051, 4131, 4407, 4037, 3965,\n", " 3944, 4169, 3882, 4018, 4066, 3828, 3957, 4181, 4160, 3886, 3963,\n", " 3875, 3956, 3976, 3953, 3757, 4007, 3911, 3967, 4935, 3898, 3880,\n", " 3927, 3948, 3833, 3894, 3782, 3786, 3845, 3863, 3966, 3864, 3843,\n", " 3840, 4033, 3914, 3977, 3937, 4240], dtype=int32)
\n", " | mean | \n", "sd | \n", "hdi_3% | \n", "hdi_97% | \n", "mcse_mean | \n", "mcse_sd | \n", "ess_mean | \n", "ess_sd | \n", "ess_bulk | \n", "ess_tail | \n", "r_hat | \n", "
---|---|---|---|---|---|---|---|---|---|---|---|
μ[0] | \n", "4275.797 | \n", "116.495 | \n", "4066.919 | \n", "4504.642 | \n", "1.418 | \n", "1.005 | \n", "6750.0 | \n", "6715.0 | \n", "6767.0 | \n", "4891.0 | \n", "1.0 | \n", "
μ[1] | \n", "3625.102 | \n", "122.610 | \n", "3403.476 | \n", "3865.610 | \n", "1.407 | \n", "0.995 | \n", "7597.0 | \n", "7597.0 | \n", "7622.0 | \n", "4916.0 | \n", "1.0 | \n", "
μ[2] | \n", "3984.044 | \n", "105.523 | \n", "3785.491 | \n", "4182.183 | \n", "1.353 | \n", "0.957 | \n", "6082.0 | \n", "6082.0 | \n", "6082.0 | \n", "4802.0 | \n", "1.0 | \n", "
σ[0] | \n", "78.531 | \n", "59.788 | \n", "0.019 | \n", "184.598 | \n", "0.819 | \n", "0.692 | \n", "5331.0 | \n", "3737.0 | \n", "4413.0 | \n", "3198.0 | \n", "1.0 | \n", "
σ[1] | \n", "76.320 | \n", "58.370 | \n", "0.030 | \n", "180.889 | \n", "0.773 | \n", "0.547 | \n", "5699.0 | \n", "5699.0 | \n", "4607.0 | \n", "3176.0 | \n", "1.0 | \n", "
σ[2] | \n", "85.882 | \n", "64.475 | \n", "0.266 | \n", "201.367 | \n", "0.970 | \n", "0.686 | \n", "4420.0 | \n", "4420.0 | \n", "3717.0 | \n", "3351.0 | \n", "1.0 | \n", "
array([0, 1, 2, 3])
array([ 0, 1, 2, ..., 1997, 1998, 1999])
array(['Terran', 'Protoss', 'Zerg'], dtype='<U7')
array([ 8, 325, 54, 346, 138, 405, 20, 129, 104, 46, 302, 408, 101, 219,\n", " 316, 126, 98, 231, 241, 385, 193, 198, 90, 329, 137, 200, 80, 355,\n", " 317, 33, 64, 213, 368, 49, 435, 134, 254, 330, 60, 39, 218, 109,\n", " 301, 133, 328, 181, 156, 395, 43, 249, 27, 153, 211, 420, 366, 186,\n", " 163, 63, 202, 45, 69, 31, 167, 177, 95, 151, 392, 387, 18, 286,\n", " 102, 290, 195, 428, 403, 97, 406, 412, 374, 263, 371, 41, 212, 52,\n", " 238, 345, 4, 117, 407, 56, 103, 118, 319, 57, 128, 294, 15, 273,\n", " 327, 281, 378, 121, 113, 284, 422, 389, 216, 58, 418, 309, 123, 116,\n", " 222, 122, 11, 361, 179, 255, 239, 225, 381, 424, 343, 287, 341, 184,\n", " 380, 196, 174, 306, 252, 148, 416, 391, 25, 208, 59, 364])
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array([ 0, 1, 2, ..., 1997, 1998, 1999])
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array([0, 1, 2, 3])
array([ 0, 1, 2, ..., 1997, 1998, 1999])
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array([[372.76445605, 372.4047956 , 379.13879775, ..., 388.4625056 ,\n", " 379.20274373, 363.47543194],\n", " [364.17887204, 357.96746207, 377.37892682, ..., 370.05542217,\n", " 371.67089236, 364.45527508],\n", " [376.65409707, 351.05076247, 380.10629174, ..., 389.53229808,\n", " 377.4382392 , 382.51445418],\n", " [390.21491721, 407.90760972, 391.36807296, ..., 382.1347993 ,\n", " 383.81306147, 366.41006492]])
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array([0])
array([ 0, 1, 2, ..., 1997, 1998, 1999])
array(['Terran', 'Protoss', 'Zerg'], dtype='<U7')
array([ 8, 325, 54, 346, 138, 405, 20, 129, 104, 46, 302, 408, 101, 219,\n", " 316, 126, 98, 231, 241, 385, 193, 198, 90, 329, 137, 200, 80, 355,\n", " 317, 33, 64, 213, 368, 49, 435, 134, 254, 330, 60, 39, 218, 109,\n", " 301, 133, 328, 181, 156, 395, 43, 249, 27, 153, 211, 420, 366, 186,\n", " 163, 63, 202, 45, 69, 31, 167, 177, 95, 151, 392, 387, 18, 286,\n", " 102, 290, 195, 428, 403, 97, 406, 412, 374, 263, 371, 41, 212, 52,\n", " 238, 345, 4, 117, 407, 56, 103, 118, 319, 57, 128, 294, 15, 273,\n", " 327, 281, 378, 121, 113, 284, 422, 389, 216, 58, 418, 309, 123, 116,\n", " 222, 122, 11, 361, 179, 255, 239, 225, 381, 424, 343, 287, 341, 184,\n", " 380, 196, 174, 306, 252, 148, 416, 391, 25, 208, 59, 364])
array([[[4487.3036091 , 3816.4730759 , 3841.54847432],\n", " [3678.10941335, 4259.6222888 , 3309.53839094],\n", " [4523.44352926, 3771.63792973, 4095.71172882],\n", " ...,\n", " [3793.7352304 , 3936.80991215, 3897.05804332],\n", " [4287.27113474, 4067.38137671, 3856.85673442],\n", " [3792.63645476, 3763.38063103, 4079.25539045]]])
array([[[ 10.45030045, 53.53690568, 169.32540234],\n", " [ 23.57617238, 10.93212404, 83.18141646],\n", " [125.6331917 , 94.68059879, 168.58509729],\n", " ...,\n", " [ 54.01739286, 112.35908554, 107.02562404],\n", " [144.26356103, 77.82838645, 9.93539497],\n", " [ 81.81960096, 210.54208204, 146.24259794]]])
array([[[0.44516586, 0.44432904, 0.49543905, ..., 0.79673329,\n", " 0.80140205, 0.28212387],\n", " [0.7972168 , 0.68737573, 0.21071926, ..., 0.31760374,\n", " 0.3228919 , 0.08274033],\n", " [0.46947403, 0.43159697, 0.78947532, ..., 0.82439068,\n", " 0.80940984, 0.32718542],\n", " ...,\n", " [0.74439685, 0.57396175, 0.48594935, ..., 0.37104134,\n", " 0.37754386, 0.3333573 ],\n", " [0.70701564, 0.56655281, 0.54098671, ..., 0.57389202,\n", " 0.76269576, 0.26823939],\n", " [0.59530994, 0.28697282, 0.72372083, ..., 0.36763267,\n", " 0.40492739, 0.36749525]]])
array([0])
array([ 0, 1, 2, ..., 1997, 1998, 1999])
array([ 8, 325, 54, 346, 138, 405, 20, 129, 104, 46, 302, 408, 101, 219,\n", " 316, 126, 98, 231, 241, 385, 193, 198, 90, 329, 137, 200, 80, 355,\n", " 317, 33, 64, 213, 368, 49, 435, 134, 254, 330, 60, 39, 218, 109,\n", " 301, 133, 328, 181, 156, 395, 43, 249, 27, 153, 211, 420, 366, 186,\n", " 163, 63, 202, 45, 69, 31, 167, 177, 95, 151, 392, 387, 18, 286,\n", " 102, 290, 195, 428, 403, 97, 406, 412, 374, 263, 371, 41, 212, 52,\n", " 238, 345, 4, 117, 407, 56, 103, 118, 319, 57, 128, 294, 15, 273,\n", " 327, 281, 378, 121, 113, 284, 422, 389, 216, 58, 418, 309, 123, 116,\n", " 222, 122, 11, 361, 179, 255, 239, 225, 381, 424, 343, 287, 341, 184,\n", " 380, 196, 174, 306, 252, 148, 416, 391, 25, 208, 59, 364])
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array([ 8, 325, 54, 346, 138, 405, 20, 129, 104, 46, 302, 408, 101, 219,\n", " 316, 126, 98, 231, 241, 385, 193, 198, 90, 329, 137, 200, 80, 355,\n", " 317, 33, 64, 213, 368, 49, 435, 134, 254, 330, 60, 39, 218, 109,\n", " 301, 133, 328, 181, 156, 395, 43, 249, 27, 153, 211, 420, 366, 186,\n", " 163, 63, 202, 45, 69, 31, 167, 177, 95, 151, 392, 387, 18, 286,\n", " 102, 290, 195, 428, 403, 97, 406, 412, 374, 263, 371, 41, 212, 52,\n", " 238, 345, 4, 117, 407, 56, 103, 118, 319, 57, 128, 294, 15, 273,\n", " 327, 281, 378, 121, 113, 284, 422, 389, 216, 58, 418, 309, 123, 116,\n", " 222, 122, 11, 361, 179, 255, 239, 225, 381, 424, 343, 287, 341, 184,\n", " 380, 196, 174, 306, 252, 148, 416, 391, 25, 208, 59, 364])
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array([ 8, 325, 54, 346, 138, 405, 20, 129, 104, 46, 302, 408, 101, 219,\n", " 316, 126, 98, 231, 241, 385, 193, 198, 90, 329, 137, 200, 80, 355,\n", " 317, 33, 64, 213, 368, 49, 435, 134, 254, 330, 60, 39, 218, 109,\n", " 301, 133, 328, 181, 156, 395, 43, 249, 27, 153, 211, 420, 366, 186,\n", " 163, 63, 202, 45, 69, 31, 167, 177, 95, 151, 392, 387, 18, 286,\n", " 102, 290, 195, 428, 403, 97, 406, 412, 374, 263, 371, 41, 212, 52,\n", " 238, 345, 4, 117, 407, 56, 103, 118, 319, 57, 128, 294, 15, 273,\n", " 327, 281, 378, 121, 113, 284, 422, 389, 216, 58, 418, 309, 123, 116,\n", " 222, 122, 11, 361, 179, 255, 239, 225, 381, 424, 343, 287, 341, 184,\n", " 380, 196, 174, 306, 252, 148, 416, 391, 25, 208, 59, 364])
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array([3748, 3946, 3802, 3816, 3701, 3861, 3907, 4066, 3757, 4350, 3964,\n", " 3894, 3932, 3952, 3955, 3912, 3744, 3492, 4642, 3756, 3664, 3769,\n", " 3871, 3631, 3631, 3685, 3626, 3647, 3626, 3736, 3784, 3856, 3866,\n", " 3847, 3883, 3761, 3686, 3827, 3771, 3752, 3803, 3922, 3888, 3900,\n", " 3962, 3992, 3798, 3797, 3790, 3966, 3881, 3823, 3904, 3920, 3907,\n", " 3961, 3874, 3570, 4359, 4009, 3859, 3988, 3885, 4020, 3935, 3908,\n", " 4596, 4851, 3941, 3808, 3942, 3854, 3956, 3976, 3998, 3953, 4068,\n", " 3960, 4016, 4055, 3925, 4104, 3989, 4001, 4237, 4161, 4024, 4108,\n", " 4125, 4028, 4012, 3992, 4144, 4029, 4051, 4131, 4407, 4037, 3965,\n", " 3944, 4169, 3882, 4018, 4066, 3828, 3957, 4181, 4160, 3886, 3963,\n", " 3875, 3956, 3976, 3953, 3757, 4007, 3911, 3967, 4935, 3898, 3880,\n", " 3927, 3948, 3833, 3894, 3782, 3786, 3845, 3863, 3966, 3864, 3843,\n", " 3840, 4033, 3914, 3977, 3937, 4240], dtype=int32)
\n", " | time_played_at | \n", "win | \n", "race | \n", "enemy_race | \n", "mmr | \n", "mmr_diff | \n", "enemy_nickname | \n", "map_name | \n", "duration | \n", "enemy_mmr | \n", "expected_winrate | \n", "
---|---|---|---|---|---|---|---|---|---|---|---|
265 | \n", "2020-01-04 19:04:15+00:00 | \n", "True | \n", "Protoss | \n", "Terran | \n", "4009 | \n", "-29 | \n", "Rêgo | \n", "Nightshade LE | \n", "935 | \n", "4038 | \n", "0.481039 | \n", "
223 | \n", "2020-01-04 19:07:07+00:00 | \n", "True | \n", "Protoss | \n", "Protoss | \n", "4031 | \n", "-132 | \n", "<unƊeaƊ><sp/>òMégà | \n", "World of Sleepers LE | \n", "107 | \n", "4163 | \n", "0.414501 | \n", "
402 | \n", "2020-01-04 19:19:31+00:00 | \n", "False | \n", "Protoss | \n", "Terran | \n", "4057 | \n", "-32 | \n", "Tsumi | \n", "Eternal Empire LE | \n", "714 | \n", "4089 | \n", "0.479080 | \n", "
206 | \n", "2020-01-05 14:03:19+00:00 | \n", "False | \n", "Protoss | \n", "Zerg | \n", "4036 | \n", "-160 | \n", "<Lowko><sp/>HardNeper | \n", "Eternal Empire LE | \n", "300 | \n", "4196 | \n", "0.396839 | \n", "
417 | \n", "2020-01-05 14:18:07+00:00 | \n", "True | \n", "Protoss | \n", "Terran | \n", "4019 | \n", "14 | \n", "delmak | \n", "Eternal Empire LE | \n", "867 | \n", "4005 | \n", "0.509157 | \n", "
... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "
1 | \n", "2020-06-09 17:11:15+00:00 | \n", "False | \n", "Protoss | \n", "Zerg | \n", "4186 | \n", "39 | \n", "djakette | \n", "Eternal Empire LE | \n", "420 | \n", "4147 | \n", "0.525489 | \n", "
210 | \n", "2020-06-09 17:24:17+00:00 | \n", "False | \n", "Protoss | \n", "Terran | \n", "4164 | \n", "-68 | \n", "StaMinA | \n", "Eternal Empire LE | \n", "758 | \n", "4232 | \n", "0.455635 | \n", "
188 | \n", "2020-06-10 11:18:56+00:00 | \n", "False | \n", "Protoss | \n", "Protoss | \n", "4144 | \n", "-41 | \n", "Guinness | \n", "Ice and Chrome LE | \n", "299 | \n", "4185 | \n", "0.473206 | \n", "
131 | \n", "2020-06-10 11:27:56+00:00 | \n", "False | \n", "Protoss | \n", "Terran | \n", "4125 | \n", "125 | \n", "Oink | \n", "Eternal Empire LE | \n", "211 | \n", "4000 | \n", "0.581047 | \n", "
144 | \n", "2020-06-10 11:35:16+00:00 | \n", "False | \n", "Protoss | \n", "Protoss | \n", "4100 | \n", "-88 | \n", "<UATeam><sp/>click | \n", "Submarine LE | \n", "343 | \n", "4188 | \n", "0.442688 | \n", "
202 rows × 11 columns
\n", "array([0, 1, 2, 3])
array([ 0, 1, 2, ..., 1997, 1998, 1999])
array(['Terran', 'Protoss', 'Zerg'], dtype='<U7')
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array([0, 1, 2, 3])
array([ 0, 1, 2, ..., 1997, 1998, 1999])
array([265, 223, 402, ..., 188, 131, 144])
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array([0, 1, 2, 3])
array([ 0, 1, 2, ..., 1997, 1998, 1999])
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array([0])
array([ 0, 1, 2, ..., 1997, 1998, 1999])
array(['Terran', 'Protoss', 'Zerg'], dtype='<U7')
array([265, 223, 402, ..., 188, 131, 144])
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array([ 0, 1, 2, ..., 1997, 1998, 1999])
array([265, 223, 402, ..., 188, 131, 144])
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array([265, 223, 402, ..., 188, 131, 144])
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\n", " | mean | \n", "sd | \n", "hdi_3% | \n", "hdi_97% | \n", "mcse_mean | \n", "mcse_sd | \n", "ess_mean | \n", "ess_sd | \n", "ess_bulk | \n", "ess_tail | \n", "r_hat | \n", "
---|---|---|---|---|---|---|---|---|---|---|---|
μ[0] | \n", "4187.331 | \n", "93.433 | \n", "4014.681 | \n", "4370.002 | \n", "0.827 | \n", "0.588 | \n", "12761.0 | \n", "12620.0 | \n", "12833.0 | \n", "5208.0 | \n", "1.0 | \n", "
μ[1] | \n", "4014.234 | \n", "97.855 | \n", "3835.751 | \n", "4202.949 | \n", "0.837 | \n", "0.592 | \n", "13669.0 | \n", "13643.0 | \n", "13703.0 | \n", "5413.0 | \n", "1.0 | \n", "
μ[2] | \n", "3961.245 | \n", "88.126 | \n", "3794.804 | \n", "4122.579 | \n", "0.716 | \n", "0.516 | \n", "15147.0 | \n", "14584.0 | \n", "15149.0 | \n", "5685.0 | \n", "1.0 | \n", "
σ[0] | \n", "79.342 | \n", "60.635 | \n", "0.027 | \n", "187.229 | \n", "0.751 | \n", "0.531 | \n", "6516.0 | \n", "6516.0 | \n", "5236.0 | \n", "3992.0 | \n", "1.0 | \n", "
σ[1] | \n", "80.221 | \n", "59.112 | \n", "0.003 | \n", "184.095 | \n", "0.694 | \n", "0.491 | \n", "7250.0 | \n", "7250.0 | \n", "5667.0 | \n", "4667.0 | \n", "1.0 | \n", "
σ[2] | \n", "82.427 | \n", "62.380 | \n", "0.020 | \n", "196.670 | \n", "0.784 | \n", "0.554 | \n", "6330.0 | \n", "6330.0 | \n", "5219.0 | \n", "4182.0 | \n", "1.0 | \n", "