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Modelling time-to-discontinuation of exclusive breastfeeding: analysis of infants and under-2 survival in Nigeria

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(1)

Oyewole Kazeem Oyedele, Adeniyi Francis Fagbamigbe,

& Olusola Ayeni

Department of Epidemiology and Medical Statistics, Faculty of Public Health, College of Medicine, University of Ibadan, Ibadan, Nigeria

Email: mrokoyedele@gmail.com

(2)

EXCLUSIVE

BREASTFEEDING

YES

CENSORING

Supplementary feeding Infant still under EBF Ill-health/death of under-2 Ill-health/death of Mother

EBF DURATION

< 6 Month 6 Months

> 6 Months

NO

MOTHER FACTOR Reproductive Health Maternal Health Demographic Socio-economic

INFANT/

UNDER-2 SURVIVAL

(3)

α

EBF time event ‘E

i’ =

{ 𝟎, 𝒊𝒇 𝒕𝒉𝒆 𝑬𝑩𝑭 𝒕𝒊𝒎𝒆 𝒆𝒗𝒆𝒏𝒕 𝒘𝒂𝒔 𝒄𝒆𝒏𝒔𝒐𝒓𝒆𝒅 𝟏, 𝒊𝒇 𝑬𝑩𝑭 𝒕𝒊𝒎𝒆 𝒆𝒗𝒆𝒏𝒕 𝒘𝒂𝒔 𝒐𝒃𝒔𝒆𝒓𝒗𝒆𝒅

S(t) = P(T>t) = ∫ 𝑓(𝑢)𝑑𝑢

𝑡∞

= 1 – F(t) ... (1) λ

λ(t) =

𝑝(𝑡≤𝑇<𝑡+𝜕𝑡)

𝑃(𝑇≤𝑡)

=

𝑓(𝑡)𝑆(𝑡)

….. (2)

𝑠(𝑡) = ∏ (𝑛

𝑗

− 𝑑

𝑗

) 𝑛

𝑗

𝑘 𝑗=1

… … … (3)

(4)

λ

λ β β β

λ λ

β

λ β

λ β β β

β β

≠

β β

i.e. t

2

̴ χ

21

d.f.

β β

β

(5)
(6)

λ λ

(7)
(8)

λ

λ

(9)
(10)
(11)

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