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Table 2 Robust General Linear Model with Inverse Probability Weights

From: Contemporary epidemiology of rising atrial septal defect trends across USA 1991–2016: a combined ecological geospatiotemporal and causal inferential study

Parameter β-Coefficient (95%C.I.) P-value
Additive Model
 AIAN.Amn 0.73 (0.46, 1) 2.8E-05
 NHCauc.Amn_Cannabis 5.42 (2.42, 8.42) 0.0015
 Analgesics 0.72 (0.21, 1.23) 0.0100
 Asian_Cannabis 1 (0.24, 1.76) 0.0160
 NHAfrc.Amn_Cannabis −4.55 (−7.53, −1.57) 0.0060
 Alcohol −34.96 (−49.93, − 19.99) 0.0001
 NHPI_Cannabis − 0.3 (− 0.42, − 0.18) 9.0E-05
 Cauc.Amn − 2.89 (− 3.91, − 1.87) 8.9E-06
 Hispanic_Cannabis − 1.18 (− 1.59, − 0.77) 5.6E-06
 Afrc.Amn − 0.82 (− 1.09, − 0.55) 4.4E-06
Interactive Models
Four-Way Interaction Amongst Drugs: Tobacco * Alcohol * Cannabis * Analgesics
  Cannabis 913.3 (597.54, 1229.06) 5.8E-05
  Analgesics 842 (549.57, 1134.43) 6.1E-05
  Cannabis: Analgesics 294.1 (188.73, 399.47) 8.3E-05
  Cigarettes: Alcohol 114,400 (68,496.8, 160,303.2) 0.0002
  NHCauc.Amn_Cannabis 5.68 (3.37, 7.99) 0.0003
  Cigarettes: Alcohol: Cannabis 40,180 (23,672.88, 56,687.12) 0.0003
  Cigarettes: Alcohol: Analgesics 36,720 (21,412.4, 52,027.6) 0.0003
  Cigarettes: Alcohol: Cannabis: Analgesics 12,870 (7331.04, 18,408.96) 0.0005
  Afrc.Amn −0.47 (−0.88, −0.06) 0.0440
  Cauc.Amn −3.03 (−4.95, −1.11) 0.0080
  NHPI_Cannabis −0.28 (− 0.44, − 0.12) 0.0027
  Hispanic_Cannabis − 1.99 (− 3.01, − 0.97) 0.0020
  Alcohol: Cannabis: Analgesics − 3184 (− 4540.71, − 1827.29) 0.0004
  Alcohol: Analgesics − 9055 (− 12,759.4, − 5350.6) 0.0003
  NHAfrc.Amn_Cannabis −2.38 (− 3.36, − 1.4) 0.0003
  Alcohol: Cannabis − 9987 (− 14,012.84, − 5961.16) 0.0003
  Alcohol − 28,390 (− 39,456.16, − 17,323.84) 0.0002
  Cigarettes: Cannabis: Analgesics − 1191 (− 1619.85, − 762.15) 8.6E-05
  Cigarettes: Analgesics − 3418 (− 4618.11, − 2217.89) 6.8E-05
  Cigarettes: Cannabis − 3686 (− 4975.29, − 2396.71) 6.5E-05
  Cigarettes −10,550 (− 14,176, − 6924) 5.5E-05
Four-Way Interaction Amongst Ethnic_Cannabis: Cauc.Amn * Afrc.Amn * Asian.Amn * AIAN.Amn
  Asian_Cannabis 78.88 (64.38, 93.38) 1.1E-08
  NHCauc.Amn_Cannabis: Asian_Cannabis 294.32 (235.62, 353.02) 3.5E-08
  NHCauc.Amn_Cannabis 549.56 (436.25, 662.87) 5.5E-08
  NHCauc.Amn_Cannabis: Asian_Cannabis: AIAN.Amn_Cannabis 51.74 (40.9, 62.58) 6.9E-08
  NHAfrc.Amn_Cannabis: AIAN.Amn_Cannabis 51.34 (34.03, 68.65) 2.6E-05
  Cigarettes 9.15 (5.41, 12.89) 0.0002
  NHCauc.Amn_Cannabis: NHAfrc.Amn_Cannabis: Asian_Cannabis 6.72 (2.33, 11.11) 0.0084
  Cocaine −1.23 (−1.99, −0.47) 0.0060
  Afrc.Amn −0.59 (− 0.84, − 0.34) 0.0004
  Alcohol −31.75 (−45.31, − 18.19) 0.0003
  Cauc.Amn −2.69 (−3.65, − 1.73) 4.5E-05
  AIAN.Amn_Cannabis −122.94 (− 162.47, − 83.41) 1.6E-05
  NHCauc.Amn_Cannabis: NHAfrc.Amn_Cannabis −67.25 (−88.59, − 45.91) 1.3E-05
  Asian_Cannabis: AIAN.Amn_Cannabis −66.75 (− 85.02, − 48.48) 2.3E-06
  NHAfrc.Amn_Cannabis: Asian_Cannabis: AIAN.Amn_Cannabis −50.24 (−63.74, − 36.74) 1.8E-06
  Hispanic_Cannabis − 11.55 (− 14.35, − 8.75) 4.8E-07
  NHAfrc.Amn_Cannabis: Asian_Cannabis − 195.38 (− 233.99, − 156.77) 3.1E-08
  NHAfrc.Amn_Cannabis − 426.55 (− 505.56, − 347.54) 1.3E-08
  NHCauc.Amn_Cannabis: NHAfrc.Amn_Cannabis: AIAN.Amn_Cannabis −9.25 (− 10.96, −7.54) 1.2E-08
3 + 3 Way Interactions: Tobacco * Alcohol * Cannabis + Cauc.Amn * AIAN.Amn * Asian.Amn
  Cigarettes: Alcohol 3696.88 (2707.37, 4686.39) 1.5E-07
  Analgesics 1.53 (1.1, 1.96) 4.3E-07
  Cigarettes: Alcohol: Cannabis 1467.06 (997.23, 1936.89) 2.5E-06
  Cannabis 28.63 (18.07, 39.19) 1.9E-05
  AIAN.Amn 0.71 (0.44, 0.98) 5.0E-05
  Cauc.Amn −2.52 (−4.24, −0.8) 0.0083
  Afrc.Amn − 0.78 (−1.09, − 0.47) 4.0E-05
  Alcohol: Cannabis −368.51 (− 503.71, − 233.31) 1.8E-05
  Cigarettes: Cannabis −113.89 (− 151.25, −76.53) 3.6E-06
  Cigarettes − 288.27 (− 376.25, − 200.29) 1.2E-06
  Alcohol − 950.06 (− 1226.77, − 673.35) 5.8E-07