| Literature DB >> 28945809 |
Simona Bertoli1, Alessandro Leone1, Nir Y Krakauer2, Giorgio Bedogni1, Angelo Vanzulli3,4, Valentino Ippocrates Redaelli1, Ramona De Amicis1, Laila Vignati1, Jesse C Krakauer5, Alberto Battezzati1.
Abstract
A Body Shape Index (ABSI) was specifically developed as a transformation of waist circumference (WC), statistically independent of BMI to better evaluate the relative contribution of WC to central obesity and clinical outcomes. Previous studies have found ABSI is associated with total mortality and cardiovascular events. However, no study has specifically evaluated the joint contribution of ABSI and BMI to cardio-metabolic outcomes (high triglycerides, low HDL, high fasting glucose and high blood pressure). With this aim, we performed a retrospective study on 6081 Caucasian adults. Subjects underwent a medical interview, anthropometric measurements, blood sampling, measurement of blood pressure, and measurement of visceral abdominal fat thickness (VAT) by ultrasound. Generalized linear models (GLM) were used to evaluate the sex and age adjusted association of ABSI with binary and continuous cardio-metabolic risk factors. Four pre-specified GLM were evaluated for each outcome: M1 = ABSI, BMI and ABSI*BMI interaction, M2 = ABSI and BMI, M3 = ABSI alone and M4 = BMI alone. Bayesian Information Criterion (BIC) was calculated and used to identify the best predictive model. ABSI and BMI contributed independently to all outcomes. Compared to BMI alone, the joint use of BMI and ABSI yielded significantly improved associations for having high triglycerides (BIC = 5261 vs. 5286), low HDL (BIC = 5371 vs. 5381), high fasting glucose (BIC = 6328 vs. 6337) but not high blood pressure (BIC = 6580 vs. 6580). The joint use of BMI and ABSI was also more strongly associated with VAT than BMI alone (BIC = 22930 vs. 23479). In conclusion, ABSI is a useful index for evaluating the independent contribution of WC, in addition to that of BMI, as a surrogate for central obesity on cardio-metabolic risk.Entities:
Mesh:
Year: 2017 PMID: 28945809 PMCID: PMC5612697 DOI: 10.1371/journal.pone.0185013
Source DB: PubMed Journal: PLoS One ISSN: 1932-6203 Impact factor: 3.240
Generalized linear models developed for studying the association between ABSI, BMI and low HDL.
| Low HDL | ||||
|---|---|---|---|---|
| B1 | B2 | B3 | B4 | |
| ABSI (SDS NHANES) | 0.54*** | 0.19*** | 0.21*** | |
| [0.26,0.81] | [0.10,0.27] | [0.12,0.29] | ||
| Normal | Ref. | Ref. | Ref. | |
| Overweight | 0.73*** | 0.79*** | 0.81*** | |
| [0.48,0.98] | [0.54,1.04] | [0.56,1.06] | ||
| Obesity 1 | 1.32*** | 1.38*** | 1.41*** | |
| [1.06,1.57] | [1.12,1.63] | [1.15,1.66] | ||
| Obesity 2 and 3 | 1.58*** | 1.66*** | 1.67*** | |
| [1.30,1.86] | [1.39,1.94] | [1.40,1.95] | ||
| Normal # ABSI (SDS NHANES) | Ref. | |||
| Overweight # ABSI (SDS NHANES) | -0.35* | |||
| [-0.66,-0.04] | ||||
| Obesity 1 # ABSI (SDS NHANES) | -0.35* | |||
| [-0.66,-0.04] | ||||
| Obesity 2 and 3 # ABSI (SDS NHANES) | -0.53** | |||
| [-0.86,-0.19] | ||||
| 19 to 29 years | Ref. | Ref. | Ref. | Ref. |
| 30 to 39 years | 0.04 | 0.05 | 0.05 | 0.07 |
| [-0.24,0.31] | [-0.22,0.32] | [-0.21,0.32] | [-0.20,0.35] | |
| 40 to 49 years | -0.24 | -0.22 | -0.16 | -0.18 |
| [-0.50,0.02] | [-0.48,0.04] | [-0.42,0.09] | [-0.44,0.08] | |
| 50 to 59 years | -0.44** | -0.42** | -0.30* | -0.38** |
| [-0.71,-0.16] | [-0.70,-0.15] | [-0.56,-0.03] | [-0.65,-0.11] | |
| 60 to 69 years | -0.48** | -0.45** | -0.24 | -0.43** |
| [-0.78,-0.18] | [-0.75,-0.15] | [-0.53,0.05] | [-0.73,-0.13] | |
| 70 to 76 years | -0.48* | -0.46* | -0.22 | -0.44* |
| [-0.91,-0.05] | [-0.89,-0.03] | [-0.64,0.20] | [-0.87,-0.01] | |
| Women | Ref. | Ref. | Ref. | Ref. |
| Men | 0.17* | 0.16* | 0.36*** | 0.22** |
| [0.02,0.32] | [0.01,0.31] | [0.21,0.51] | [0.08,0.37] | |
| Constant | -2.30*** | -2.37*** | -1.52*** | -2.47*** |
| [-2.61,-2.00] | [-2.68,-2.07] | [-1.75,-1.29] | [-2.77,-2.17] | |
| Observations | 6081 | 6081 | 6081 | 6081 |
| BIC | 5388 | 5371 | 5552 | 5381 |
Generalized linear models developed for studying the association between ABSI, BMI and high blood glucose.
| High blood glucose OR glucose-lowering drugs | ||||
|---|---|---|---|---|
| D1 | D2 | D3 | D4 | |
| ABSI (SDS NHANES) | 0.33 | 0.17 | 0.17 | |
| [0.10,0.56] | [0.09,0.24] | [0.10,0.25] | ||
| Normal | Ref. | Ref. | Ref. | |
| Overweight | 0.55 | 0.57 | 0.58 | |
| [0.34,0.75] | [0.36,0.77] | [0.38,0.79] | ||
| Obesity 1 | 1.05 | 1.08 | 1.10 | |
| [0.84,1.27] | [0.87,1.29] | [0.89,1.31] | ||
| Obesity 2 and 3 | 1.57 | 1.63 | 1.64 | |
| [1.33,1.81] | [1.40,1.87] | [1.40,1.87] | ||
| Normal # ABSI (SDS NHANES) | Ref. | |||
| Overweight # ABSI (SDS NHANES) | -0.06 | |||
| [-0.32,0.20] | ||||
| Obesity 1 # ABSI (SDS NHANES) | -0.22 | |||
| [-0.49,0.04] | ||||
| Obesity 2 and 3 # ABSI (SDS NHANES) | -0.38 | |||
| [-0.67,-0.08] | ||||
| 19 to 29 years | Ref. | Ref. | Ref. | Ref. |
| 30 to 39 years | 0.51 | 0.52 | 0.51 | 0.53 |
| [0.16,0.87] | [0.16,0.88] | [0.15,0.86] | [0.18,0.89] | |
| 40 to 49 years | 1.17 | 1.18 | 1.18 | 1.20 |
| [0.83,1.50] | [0.84,1.51] | [0.85,1.51] | [0.86,1.53] | |
| 50 to 59 years | 1.81 | 1.82 | 1.85 | 1.84 |
| [1.48,2.15] | [1.49,2.16] | [1.52,2.18] | [1.51,2.17] | |
| 60 to 69 years | 2.07 | 2.09 | 2.20 | 2.10 |
| [1.72,2.41] | [1.74,2.43] | [1.86,2.54] | [1.75,2.44] | |
| 70 to 76 years | 2.19 | 2.20 | 2.33 | 2.20 |
| [1.77,2.61] | [1.78,2.62] | [1.91,2.74] | [1.78,2.62] | |
| Women | Ref. | Ref. | Ref. | Ref. |
| Men | 0.91 | 0.89 | 1.05 | 0.94 |
| [0.78,1.04] | [0.76,1.03] | [0.92,1.17] | [0.81,1.07] | |
| Constant | -3.30 | -3.33 | -2.61 | -3.39 |
| [-3.66,-2.94] | [-3.69,-2.98] | [-2.93,-2.30] | [-3.75,-3.04] | |
| Observations | 6081 | 6081 | 6081 | 6081 |
| BIC | 6343 | 6328 | 6547 | 6337 |
Values are regression coefficients, 95% confidence intervals in brackets and BIC.
Model 1: ABSI (continuous), BMI (discrete), ABSI·BMI interaction (continuous X discrete), sex (discrete), age (discrete).
Model 2: same as #1 without the ABSI·BMI interaction.
Model 3: same as #2 without BMI.
Model 4: same as #2 without ABSI.
Abbreviations: Ref = Reference category (regression coefficient = 0)
* p<0.05
** p<0.01
*** p<0.001
Generalized linear models developed for studying the association between ABSI, BMI and VAT.
| VAT | ||||
|---|---|---|---|---|
| E1 | E2 | E3 | E4 | |
| ABSI (SDS NHANES) | 0.24 | 0.62 | 0.65 | |
| [0.13,0.35] | [0.57,0.67] | [0.59,0.72] | ||
| Normal weight | Ref. | Ref. | Ref. | |
| Overweight | 1.07 | 0.95 | 1.02 | |
| [0.96,1.19] | [0.83,1.06] | [0.91,1.14] | ||
| Obesity 1 | 2.49 | 2.34 | 2.44 | |
| [2.37,2.62] | [2.22,2.46] | [2.32,2.57] | ||
| Obesity 2 and 3 | 4.50 | 4.34 | 4.38 | |
| [4.35,4.65] | [4.19,4.48] | [4.22,4.53] | ||
| Normal # ABSI (SDS NHANES) | Ref. | |||
| Overweight # ABSI (SDS NHANES) | 0.35 | |||
| [0.22,0.49] | ||||
| Obesity 1 # ABSI (SDS NHANES) | 0.61 | |||
| [0.46,0.75] | ||||
| Obesity 2 and 3 # ABSI (SDS NHANES) | 0.55 | |||
| [0.38,0.73] | ||||
| 19 to 29 years | Ref. | Ref. | Ref. | Ref. |
| 30 to 39 years | 0.31 | 0.28 | 0.32 | 0.39 |
| [0.15,0.47] | [0.11,0.44] | [0.11,0.53] | [0.22,0.56] | |
| 40 to 49 years | 0.81 | 0.76 | 0.90 | 0.93 |
| [0.65,0.96] | [0.61,0.92] | [0.70,1.10] | [0.77,1.09] | |
| 50 to 59 years | 1.33 | 1.29 | 1.57 | 1.47 |
| [1.17,1.49] | [1.13,1.45] | [1.37,1.78] | [1.30,1.64] | |
| 60 to 69 years | 1.88 | 1.82 | 2.35 | 1.95 |
| [1.70,2.05] | [1.64,1.99] | [2.13,2.57] | [1.77,2.14] | |
| 70 to 76 years | 2.38 | 2.33 | 2.87 | 2.43 |
| [2.14,2.63] | [2.08,2.57] | [2.55,3.19] | [2.17,2.69] | |
| Women | Ref. | Ref. | Ref. | Ref. |
| Men | 2.05 | 2.08 | 2.58 | 2.29 |
| [1.96,2.15] | [1.99,2.18] | [2.46,2.69] | [2.19,2.38] | |
| Constant | 2.33 | 2.49 | 3.71 | 2.13 |
| [2.17,2.49] | [2.33,2.64] | [3.53,3.89] | [1.97,2.29] | |
| Observations | 6081 | 6081 | 6081 | 6081 |
| BIC | 22882 | 22930 | 26044 | 23479 |
Values are regression coefficients, 95% confidence intervals in brackets and BIC.
Model 1: ABSI (continuous), BMI (discrete), ABSI·BMI interaction (continuous X discrete), sex (discrete), age (discrete).
Model 2: same as #1 without the ABSI·BMI interaction.
Model 3: same as #2 without BMI.
Model 4: same as #2 without ABSI.* p<0.05
** p<0.01
*** p<0.001
Measurements of the study subjects.
| Women ( | Men ( | Total ( | |||||||
|---|---|---|---|---|---|---|---|---|---|
| P50 | P25 | P75 | P50 | P25 | P75 | P50 | P25 | P75 | |
| Age (years) | 46 | 38 | 56 | 47 | 39 | 56 | 47 | 38 | 56 |
| Weight (kg) | 72.8 | 64.9 | 82.6 | 93 | 84.2 | 104 | 78.1 | 67.7 | 90.5 |
| Height (m) | 1.61 | 1.57 | 1.66 | 1.75 | 1.71 | 1.79 | 1.64 | 1.59 | 1.71 |
| BMI (kg m-2) | 28 | 24.9 | 31.7 | 30.3 | 27.7 | 33.3 | 28.7 | 25.6 | 32.3 |
| BMI (SDS NHANES) | -0.09 | -0.52 | 0.48 | 0.38 | -0.12 | 0.98 | 0.04 | -0.43 | 0.64 |
| ABSI (m11/6 kg-2/3) | 0.08 | 0.08 | 0.08 | 0.08 | 0.08 | 0.09 | 0.08 | 0.08 | 0.08 |
| ABSI (SDS NHANES) | -0.25 | -0.81 | 0.27 | 0.08 | -0.46 | 0.64 | -0.16 | -0.73 | 0.38 |
| Waist circumference (cm) | 92 | 84 | 101 | 106 | 99.1 | 115 | 96 | 86.8 | 106 |
| VAT (cm) | 4.2 | 3 | 5.8 | 7.5 | 5.6 | 9.3 | 4.9 | 3.4 | 7.2 |
| Glucose (mmol l-1) | 5.11 | 4.77 | 5.44 | 5.44 | 5.11 | 5.94 | 5.16 | 4.83 | 5.61 |
| Triglycerides (mmol l-1) | 0.95 | 0.71 | 1.3 | 1.34 | 0.96 | 1.91 | 1.04 | 0.77 | 1.47 |
| Cholesterol (mmol l-1) | 5.46 | 4.82 | 6.15 | 5.43 | 4.76 | 6.15 | 5.46 | 4.81 | 6.15 |
| LDL (mmol l-1) | 3.34 | 2.77 | 3.96 | 3.57 | 2.95 | 4.16 | 3.39 | 2.82 | 4.03 |
| HDL (mmol l-1) | 1.63 | 1.4 | 1.89 | 1.22 | 1.03 | 1.42 | 1.5 | 1.27 | 1.78 |
| Systolic blood pressure (mm Hg) | 120 | 110 | 130 | 130 | 120 | 140 | 120 | 110 | 130 |
| Diastolic blood pressure (mm Hg) | 80 | 70 | 80 | 80 | 80 | 90 | 80 | 70 | 85 |
Abbreviations: P50 = 50th percentile (median); P25 = 25th percentile; P75 = 75th percentile; BMI = body mass index; ABSI = a body shape index; SDS = standard deviations scores; VAT = visceral adipose tissue; LDL = low-density lipoprotein; HDL = high-density lipoprotein. Conversion factors: Triglycerides: mg/dL = 89 * mmol/L; Total, HDL and LDL cholesterol: mg/dL = 38.67 * mmol/L; Glucose: mg/dL = 18 * mmol/L
Distribution of age, body mass index and the metabolic syndrome and its components in the study subjects.
| Women | Men | Total | ||||
|---|---|---|---|---|---|---|
| N | % | N | % | N | % | |
| 19 to 29 years | 428 | 9.8 | 101 | 6 | 529 | 8.7 |
| 30 to 39 years | 859 | 19.6 | 330 | 19.4 | 1189 | 19.6 |
| 40 to 49 years | 1313 | 29.9 | 533 | 31.4 | 1846 | 30.4 |
| 50 to 59 years | 1042 | 23.8 | 410 | 24.2 | 1452 | 23.9 |
| 60 to 69 years | 585 | 13.3 | 256 | 15.1 | 841 | 13.8 |
| 70 to 76 years | 157 | 3.6 | 67 | 3.9 | 224 | 3.7 |
| Normal weight | 1108 | 25.3 | 126 | 7.4 | 1234 | 20.3 |
| Overweight | 1748 | 39.9 | 669 | 39.4 | 2417 | 39.7 |
| Class 1 obesity | 1037 | 23.7 | 631 | 37.2 | 1668 | 27.4 |
| Class 2 obesity | 384 | 8.8 | 218 | 12.8 | 602 | 9.9 |
| Class 3 obesity | 107 | 2.4 | 53 | 3.1 | 160 | 2.6 |
| No | 1637 | 37.3 | 574 | 33.8 | 2211 | 36.4 |
| Yes | 2747 | 62.7 | 1123 | 66.2 | 3870 | 63.6 |
| No | 3876 | 88.4 | 1145 | 67.5 | 5021 | 82.6 |
| Yes | 508 | 11.6 | 552 | 32.5 | 1060 | 17.4 |
| No | 4359 | 99.4 | 1673 | 98.6 | 6032 | 99.2 |
| Yes | 25 | 0.6 | 24 | 1.4 | 49 | 0.8 |
| No | 3857 | 88 | 1130 | 66.6 | 4987 | 82 |
| Yes | 527 | 12 | 567 | 33.4 | 1094 | 18 |
| No | 3715 | 84.7 | 1330 | 78.4 | 5045 | 83 |
| Yes | 669 | 15.3 | 367 | 21.6 | 1036 | 17 |
| No | 2822 | 64.4 | 567 | 33.4 | 3389 | 55.7 |
| Yes | 1562 | 35.6 | 1130 | 66.6 | 2692 | 44.3 |
| No | 3726 | 85 | 1230 | 72.5 | 4956 | 81.5 |
| Yes | 658 | 15 | 467 | 27.5 | 1125 | 18.5 |
| No | 2607 | 59.5 | 468 | 27.6 | 3075 | 50.6 |
| Yes | 1777 | 40.5 | 1229 | 72.4 | 3006 | 49.4 |
| No | 3409 | 77.8 | 929 | 54.7 | 4338 | 71.3 |
| Yes | 975 | 22.2 | 768 | 45.3 | 1743 | 28.7 |
| No | 4355 | 99.3 | 1654 | 97.5 | 6009 | 98.8 |
| Yes | 29 | 0.7 | 43 | 2.5 | 72 | 1.2 |
| No | 3404 | 77.6 | 927 | 54.6 | 4331 | 71.2 |
| Yes | 980 | 22.4 | 770 | 45.4 | 1750 | 28.8 |
| 0 | 1046 | 23.9 | 146 | 8.6 | 1192 | 19.6 |
| 1 | 1257 | 28.7 | 293 | 17.3 | 1550 | 25.5 |
| 2 | 1137 | 25.9 | 439 | 25.9 | 1576 | 25.9 |
| 3 | 674 | 15.4 | 474 | 27.9 | 1148 | 18.9 |
| 4 | 203 | 4.6 | 262 | 15.4 | 465 | 7.6 |
| 5 | 67 | 1.5 | 83 | 4.9 | 150 | 2.5 |
| No | 3440 | 78.5 | 878 | 51.7 | 4318 | 71 |
| Yes | 944 | 21.5 | 819 | 48.3 | 1763 | 29 |
| No | 4221 | 96.3 | 1574 | 92.8 | 5795 | 95.3 |
| Yes | 163 | 3.7 | 123 | 7.2 | 286 | 4.7 |
Generalized linear models developed for studying the association between ABSI, BMI and high triglycerides.
| High triglycerides OR triglyceride-lowering drugs | ||||
|---|---|---|---|---|
| A1 | A2 | A3 | A4 | |
| ABSI (SDS NHANES) | 0.36* | 0.26*** | 0.28*** | |
| [0.07,0.65] | [0.17,0.34] | [0.19,0.36] | ||
| Normal weight | Ref. | Ref. | Ref. | |
| Overweight | 0.68*** | 0.70*** | 0.73*** | |
| [0.42,0.95] | [0.44,0.96] | [0.47,0.99] | ||
| Obesity 1 | 1.19*** | 1.20*** | 1.24*** | |
| [0.92,1.45] | [0.94,1.46] | [0.97,1.50] | ||
| Obesity 2 and 3 | 1.35*** | 1.38*** | 1.39*** | |
| [1.06,1.64] | [1.09,1.67] | [1.11,1.68] | ||
| Normal # ABSI (SDS NHANES) | Ref. | |||
| Overweight # ABSI (SDS NHANES) | 0.00 | |||
| [-0.32,0.33] | ||||
| Obesity 1 # ABSI (SDS NHANES) | -0.13 | |||
| [-0.46,0.19] | ||||
| Obesity 2 and 3 # ABSI (SDS NHANES) | -0.30 | |||
| [-0.65,0.06] | ||||
| 19 to 29 years | Ref. | Ref. | Ref. | Ref. |
| 30 to 39 years | -0.08 | -0.07 | -0.08 | -0.05 |
| [-0.39,0.24] | [-0.39,0.25] | [-0.39,0.23] | [-0.36,0.27] | |
| 40 to 49 years | 0.11 | 0.12 | 0.15 | 0.15 |
| [-0.19,0.40] | [-0.18,0.41] | [-0.14,0.44] | [-0.14,0.44] | |
| 50 to 59 years | 0.24 | 0.24 | 0.32* | 0.28 |
| [-0.06,0.53] | [-0.06,0.54] | [0.03,0.62] | [-0.02,0.57] | |
| 60 to 69 years | 0.40* | 0.42** | 0.56*** | 0.43** |
| [0.08,0.71] | [0.10,0.73] | [0.25,0.87] | [0.12,0.74] | |
| 70 to 76 years | 0.47* | 0.49* | 0.66** | 0.49* |
| [0.06,0.89] | [0.07,0.90] | [0.24,1.07] | [0.08,0.90] | |
| Women | Ref. | Ref. | Ref. | Ref. |
| Men | 1.06*** | 1.05*** | 1.21*** | 1.13*** |
| [0.92,1.21] | [0.91,1.20] | [1.07,1.35] | [0.99,1.27] | |
| Constant | -2.90*** | -2.91*** | -2.16*** | -3.01*** |
| [-3.24,-2.55] | [-3.26,-2.57] | [-2.43,-1.89] | [-3.35,-2.68] | |
| Observations | 6081 | 6081 | 6081 | 6081 |
| BIC | 5281 | 5261 | 5370 | 5286 |
Generalized linear models developed for studying the association between ABSI, BMI and high blood pressure.
| High blood pressure OR blood pressure-lowering drugs | ||||
|---|---|---|---|---|
| C1 | C2 | C3 | C4 | |
| ABSI (SDS NHANES) | 0.18 | 0.11** | 0.13*** | |
| [-0.00,0.37] | [0.04,0.19] | [0.06,0.20] | ||
| Normal weight | Ref. | Ref. | Ref. | |
| Overweight | 0.66*** | 0.68*** | 0.69*** | |
| [0.48,0.84] | [0.51,0.86] | [0.52,0.87] | ||
| Obesity 1 | 1.43*** | 1.45*** | 1.46*** | |
| [1.24,1.62] | [1.26,1.63] | [1.28,1.65] | ||
| Obesity 2 and 3 | 2.32*** | 2.34*** | 2.34*** | |
| [2.07,2.57] | [2.10,2.57] | [2.10,2.58] | ||
| Normal # ABSI (SDS NHANES) | Ref. | |||
| Overweight # ABSI (SDS NHANES) | -0.12 | |||
| [-0.34,0.10] | ||||
| Obesity 1 # ABSI (SDS NHANES) | -0.03 | |||
| [-0.26,0.20] | ||||
| Obesity 2 and 3 # ABSI (SDS NHANES) | -0.07 | |||
| [-0.36,0.22] | ||||
| 19 to 29 years | Ref. | Ref. | Ref. | Ref. |
| 30 to 39 years | 0.34* | 0.34* | 0.31* | 0.35* |
| [0.07,0.60] | [0.07,0.60] | [0.06,0.56] | [0.08,0.61] | |
| 40 to 49 years | 1.03*** | 1.03*** | 0.99*** | 1.05*** |
| [0.78,1.28] | [0.78,1.28] | [0.75,1.23] | [0.80,1.30] | |
| 50 to 59 years | 1.70*** | 1.70*** | 1.68*** | 1.73*** |
| [1.45,1.96] | [1.45,1.96] | [1.44,1.93] | [1.47,1.98] | |
| 60 to 69 years | 2.51*** | 2.51*** | 2.56*** | 2.53*** |
| [2.22,2.80] | [2.22,2.80] | [2.28,2.83] | [2.24,2.81] | |
| 70 to 76 years | 3.15*** | 3.16*** | 3.23*** | 3.16*** |
| [2.69,3.62] | [2.70,3.62] | [2.78,3.68] | [2.70,3.62] | |
| Women | Ref. | Ref. | Ref. | Ref. |
| Men | 1.27*** | 1.27*** | 1.44*** | 1.31*** |
| [1.13,1.41] | [1.13,1.42] | [1.30,1.57] | [1.17,1.45] | |
| Constant | -2.53*** | -2.55*** | -1.61*** | -2.60*** |
| [-2.80,-2.26] | [-2.82,-2.28] | [-1.83,-1.39] | [-2.87,-2.33] | |
| Observations | 6081 | 6081 | 6081 | 6081 |
| BIC | 6605 | 6580 | 7093 | 6580 |