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Appendix 1. Sensitivity analysis restricted to low-risk women. Associations between individual and organizational characteristics and labor analgesia methods: multinomial multilevel multivariable analysis of complete cases

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1 Appendix 1. Sensitivity analysis restricted to low-risk women. Associations between

individual and organizational characteristics and labor analgesia methods: multinomial multilevel multivariable analysis of complete cases

NPA alone NA+NPA combined

n= 402 n= 1 844

aOR 95% CI aOR 95% CI

Maternal characteristics

Maternal age, years

< 30 Ref — Ref —

≥ 30 0.97 (0.70 - 1.34) 0.84 (0.73 - 0.96)

Parity and antenatal class attendance

Nulliparous without AC Ref — Ref —

Nulliparous with AC 1.10 (0.57 - 2.11) 1.39 (1.11 - 1.76) Multiparous without AC 1.33 (0.69 - 2.56) 0.54 (0.42 - 0.69) Multiparous with AC 2.50 (1.27 - 4.93) 1.06 (0.81 - 1.40)

Nationality

French Ref — Ref —

Other 0.37 (0.21 - 0.65) 0.83 (0.67 - 1.04)

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Educational level

≤ Middle school 0.88 (0.39 - 1.99) 0.73 (0.52 - 1.03)

High school Ref — Ref —

1 to 4 years post-graduation 1.42 (0.99 - 2.05) 1.21 (1.03 - 1.42) ≥ 5 years post-graduation 2.06 (1.33 - 3.20) 1.37 (1.12 - 1.67)

Low socio-economic status

Yes 0.93 (0.60 - 1.42) 0.78 (0.64 - 0.95)

No Ref — Ref —

Antenatal preference for pain relief

Antenatal preference for NA

Absolutely yes Ref — Ref —

Maybe yes 4.01 (2.73 - 5.88) 1.50 (1.29 - 1.75)

Not preferred 58.58 (39.80 - 86.21) 1.66 (1.33 - 2.07)

Obstetric characteristics

Inadequate antenatal care

Yes 0.78 (0.37 - 1.65) 0.62 (0.43 - 0.89)

No Ref — Ref —

Labor management

Spontaneous labor ≤ 5 cm without oxytocin Ref — Ref —

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3 Spontaneous labor > 5 cm without oxytocin 6.15 (4.25 - 8.91) 0.82 (0.59 - 1.15) Spontaneous labor with oxytocin 0.12 (0.08 - 0.19) 1.42 (1.23 - 1.65) Oxytocin induction 0.20 (0.10 - 0.40) 1.04 (0.80 - 1.35)

Organizational characteristics

Maternity unit status

Public 1.94 (1.31 - 2.87) 1.58 (1.26 - 1.98)

Private Ref — Ref —

Anesthesiologist availability*

Dedicated to delivery unit Ref — Ref —

Not dedicated to delivery unit 1.46 (1.05 - 2.05) 1.08 (0.88 - 1.32)

Midwife workload **

Very high 0.42 (0.22 - 0.79) 0.86 (0.59 - 1.26)

High 1.09 (0.68 - 1.73) 0.79 (0.56 - 1.09)

Intermediate Ref — Ref —

Low 0.97 (0.63 - 1.49) 1.08 (0.83 - 1.40)

Very low 1.70 (1.08 - 2.68) 0.93 (0.69 - 1.26)

Random effects

Second-level variance‡ τ00 0.23 0.55

PCV‡‡ (0-4) 70% 0%

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4 Model adjusted on all the characteristics presented in appendix 1: maternal age, parity, nationality,

educational level, low socio-economic status, antenatal preference for NA, inadequate antenatal care, labor management, maternity status, anesthesiologist availability, midwife workload

aOR: adjusted odds ratio, CI: confidence interval NA, Neuraxial Analgesia

NPA, Non-Pharmacological Analgesia AC, antenatal class attendance

* Anesthesiologist availability at woman's admission in delivery unit

** Midwife workload expressed as the ratio of the number of midwives per shift per 100 annual deliveries:

very high= < 10th percentile, high= 10th to 24th percentile, intermediate= 25th to 74th percentile, low=75th to 89th percentile and very low ≥ 90th percentile

‡ Variance of the empty model: 0.77 and 0.55 respectively for NPA alone and NA+NPA

‡‡ Proportional change of variance defined as τ00(0) - τ00(n))/ τ00(0)

¥ Characteristics in the model do not explain variance (negative result) Number of observations used= 5,765/6,047

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5 Appendix 2. Associations between individual and organizational characteristics and the use of NPA alone (compared to NA alone): binary multilevel multivariable logistic regression of complete cases.

NPA alone

n= 559

aOR 95% CI

Maternal characteristics

Maternal age, years

< 30 Ref —

≥ 30 1.19 (0.89 - 1.60)

Parity/antenatal class attendance

Nulliparous without AC Ref —

Nulliparous with AC 2.31 (1.23 - 4.34)

Multiparous without AC 2.41 (1.30 - 4.48)

Multiparous with AC 4.16 (2.17 - 7.95)

Nationality

French Ref —

Other 0.49 (0.30 - 0.79)

Educational level

≤ Middle school 0.91 (0.49 - 1.69)

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High school Ref —

1 to 4 years post-graduation 0.98 (0.71 - 1.36) ≥ 5 years post-graduation 1.59 (1.07 - 2.37)

Low socio-economic status

Yes 0.90 (0.62 - 1.30)

No Ref —

Antenatal preferences

Antenatal preference for NA

Absolutely yes Ref —

Maybe yes 4.28 (3.05 - 6.02)

Not preferred 70.84 (49.38 - 101.63)

Obstetric characteristics

Individual risk level

Low risk 1.21 (0.91 - 1.60)

High risk Ref -

Inadequate antenatal care

Yes 1.14 (0.62 - 2.07)

No Ref —

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Labor management

Spontaneous labor ≤ 5 cm without oxytocin Ref — Spontaneous labor > 5 cm without oxytocin 6.56 (4.70 - 9.17) Spontaneous labor with oxytocin 0.12 (0.08 - 0.17)

Oxytocin induction 0.15 (0.08 - 0.28)

Organizational characteristics

Maternity unit status

Public 1.85 (1.23 - 2.78)

Private Ref —

Anesthesiologist availability*

Dedicated to delivery unit Ref —

Not dedicated to delivery unit 1.79 (1.27 - 2.52)

Midwife workload**

Very high 0.51 (0.27 0.97)

High 1.54 (0.93 2.55)

Intermediate Ref —

Low 1.20 (0.77 1.86)

Very low 2.12 (1.34 3.35)

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8 Model adjusted on all the characteristics presented in appendix 2.a: maternal

age, parity, nationality, educational level, low socio-economic status, antenatal preference for NA, individual risk level of pregnancy, inadequate antenatal care, labor management, maternity status, anesthesiologist availability, midwife workload

aOR: adjusted odds ratio, CI: confidence interval NA, Neuraxial Analgesia

NPA, Non-Pharmacological Analgesia AC, antenatal class attendance

* Anesthesiologist availability at woman's admission in delivery room

** Midwife workload expressed as the ratio of the number of midwives per shift per 100 annual deliveries: very high= < 10th percentile, high= 10th to 24th percentile, intermediate= 25th to 74th percentile, low=75th to 89th percentile and very low ≥ 90th percentile

Number of observations used= 6,023/6,355

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9 Appendix 3. Associations between individual and organizational characteristics and the use of NA+NPA (compared to NA alone): binary multilevel multivariable logistic regression of complete cases.

NA+NPA combined

n= 2,753

aOR 95% CI

Maternal characteristics

Maternal age, years

< 30 Ref —

≥ 30 0.91 (0.82 - 1.02)

Parity/antenatal class attendance

Nulliparous without AC Ref —

Nulliparous with AC 1.47 (1.21 - 1.78)

Multiparous without AC 0.62 (0.51 - 0.76)

Multiparous with AC 1.23 (0.99 - 1.54)

Nationality

French Ref —

Other 0.85 (0.71 - 1.01)

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Educational level

≤ Middle school 0.84 (0.65 - 1.08)

High school Ref —

1 to 4 years post-graduation 1.20 (1.06 - 1.36) ≥ 5 years post-graduation 1.40 (1.19 - 1.65)

Low socio-economic status

Yes 0.86 (0.74 - 1.00)

No Ref —

Antenatal preferences

Antenatal preference for NA

Absolutely yes Ref —

Maybe yes 1.45 (1.28 - 1.64)

Not preferred 1.85 (1.54 - 2.22)

Obstetric characteristics

Individual risk level

Low risk 1.03 (0.92 - 1.14)

High risk Ref —

Inadequate antenatal care

Yes 0.71 (0.53 - 0.95)

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No Ref —

Labor management

Spontaneous labor ≤ 5 cm without oxytocin Ref — Spontaneous labor > 5 cm without oxytocin 0.82 (0.62 - 1.08) Spontaneous labor with oxytocin 1.48 (1.31 - 1.67)

Oxytocin induction 1.00 (0.82 - 1.21)

Organizational characteristics

Maternity unit status

Public 1.52 (1.23 - 1.88)

Private Ref —

Anesthesiologist availability*

Dedicated to delivery unit Ref —

Not dedicated to delivery unit 1.01 (0.84 - 1.22)

Midwife workload **

Very high 0.90 (0.62 - 1.30)

High 0.92 (0.67 - 1.25)

Intermediate Ref —

Low 1.13 (0.88 - 1.44)

Very low 1.16 (0.88 - 1.52)

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Model adjusted on all the characteristics presented in appendix 2b:

maternal age, parity, nationality, educational level, low socio-economic status, antenatal preference for NA, individual risk level of pregnancy, inadequate antenatal care, labor management, maternity status,

anesthesiologist availability, midwife workload

aOR: adjusted odds ratio; CI: confidence interval NA, Neuraxial Analgesia

NPA, Non-Pharmacological Analgesia AC, antenatal class attendance

* Anesthesiologist availability at woman's admission in delivery unit

** Midwife workload expressed as the ratio of the number of midwives per shift per 100 annual deliveries: very high= < 10th percentile, high=

10th to 24th percentile, intermediate= 25th to 74th percentile, low=75th to 89th percentile and very low ≥ 90th percentile

Number of observations used=8,205/8,641

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