Assessing the distribution of discrete survival time in presence of recall error

Retrospectively ascertained survival time may be subject to recall error. An example of discrete survival time with such recall error is time-to-pregnancy (TTP), the number of months non-contracepting couples require to get pregnant which is a measure of human fecundity. The epidemiological literature has demonstrated that retrospective TTP is subject to recall error and statistical models focusing on TTP have not accounted for the recall error. We propose a multistage model that utilizes women's retrospectively-reported TTP and associated certainty to estimate the TTP distribution. Our proposed model utilizes a discrete survival function that accounts for random heterogeneity arising from between women TTP data as well as a multinomial regression model to account for her certainty as accuracy may decline over time, i.e., depends on time since pregnancy in estimating the TTP distribution. Other novel features of the model include attention to whether the pregnancy was (un)planned as well as providing an approach to predict survival function for women without a reported TTP. Our model allows for the consideration of covariates for each of the underlying factors of (un)planned pregnancy, measure of certainty and TTP distribution. The proposed model is applicable for any discrete survival time when certainty in reporting may be a consideration. We use Monte Carlo simulations to assess the finite sample performance for the proposed estimators. We illustrate our proposed method using data from Upstate KIDS Study.


page 1

page 2

page 3

page 4


Semiparametric transformation Model with measurement error in Covariates: An Instrumental variable approach

Linear transformation model provides a general framework for analyzing c...

Semiparametric Estimation for the Transformation Model with Length-Biased Data and Covariate Measurement Error

Analysis of survival data with biased samples caused by left-truncation ...

Estimating a distribution function for discrete data subject to random truncation with an application to structured finance

The literature for estimating a distribution function from truncated dat...

Estimation Of Menarcheal Age Distribution From Imperfectly Recalled Data

In a cross-sectional study, pubertal females were asked to recall the ti...

Impact of model misspecification in shared frailty survival models

Survival models incorporating random effects to account for unmeasured h...

Estimating populational-average hazard ratios in the presence of unmeasured confounding

The Cox regression model and its associated hazard ratio (HR) are freque...

Cox Regression Model Under Dependent Truncation

Truncation is a statistical phenomenon that occurs in many time to event...

Please sign up or login with your details

Forgot password? Click here to reset