Sampling variability of own-children fertility estimates

Area of Science:

• Demography
• Statistical Methods
• Reproductive Health

Background:

• Accurate estimation of fertility rates, including age-specific birth rates and total fertility rates, is crucial for population studies.
• Existing methods for calculating standard errors and confidence intervals for fertility estimates derived from complex survey data have limitations.
• The own-children method is a common technique for estimating fertility but requires robust statistical inference.

Purpose of the Study:

• To develop and present a methodology for estimating standard errors and confidence intervals for own-children estimates of fertility.
• To address the statistical challenges associated with analyzing systematic samples of households in fertility estimation.
• To provide a framework for assessing the reliability of fertility indicators derived from survey data.

Main Methods:

• The study develops a statistical methodology for standard error and confidence interval estimation.
• It applies this methodology to own-children estimates of age-specific birth rates and total fertility rates.
• The approach treats systematic household samples as simple random samples of women, with certain assumptions.

Main Results:

• The developed methodology provides a way to quantify uncertainty in fertility estimates.
• The application to the 1970 Philippines census data demonstrates the practical utility of the approach.
• The study identifies that treating certain variables as constants may lead to a slight underestimation of sampling variability.

Conclusions:

• The proposed methodology offers improved statistical inference for fertility estimates derived from household surveys.
• This work contributes to more reliable demographic analyses by providing better measures of precision.
• The findings are particularly relevant for researchers and policymakers utilizing fertility data from systematic samples.