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International Journal of Population Studies

                                       RESEARCH ARTICLE

                                       Use of the average age ratio method in

                                       analyzing age heaping in censuses: The

                                       case of China


                                       Danan Gu *, Qiushi Feng 2
                                                 1
                                       1 Population Division, Department of Economic and Social Affairs, United Nations,
                                       New York, NY 10017, USA,
                                       2 Department of Sociology, Centre for Family and Population Research, National
                                       University of Singapore, Singapore



                                       ABSTRACT: Based on the methods of the average period age ratio and the average cohort
                                       age ratio, this study systematically assesses age heaping or digit preference in all population
                                       censuses  of  China.  Our  study  finds  that  the  overall  age  heaping  was  relatively  low  in  the
                                       Chinese censuses; however, there was a notable preference for ages ending with zero after age
                                       50 in the first two censuses, despite a weakening trend over time. Our study further shows that
                                       age heaping in China’s censuses is likely associated with age-related policies such as those on
                                       late marriage and retirement. As shown in the study, the average age ratio method can be an
               ARTICLE INFO            alternative of the Whipple’s Index and be improved if the size of birth cohort was taken into
               Received: September 8, 2018   account when the number of births is generally reliable.
               Accepted: October 25, 2018
               Published: November 3, 2018  Keywords: Age concentration index; Age heaping; age ratio; Age reporting; Average
                                       age ratio; Average period age ratio; Average cohort age ratio; China; Census; Digit
               *CORRESPONDING AUTHOR
                                       preference; Digit avoidance; Whipple’s index; Myer’s blended index
               Danan Gu,
               Population Division, Department
               of Economic and Social Affairs,   1. Introduction
               United Nations, New York,
               NY 10017, USA.          Censuses are foundational data sources for population studies, the accuracy of which
               gudanan@yahoo.com       determines the validity and reliability of demographic research (Moultrie, Dorrington,
                                       Hill et al., 2013; United Nations, 1983, 2008). Throughout the procedure of census, errors
               CITATION
                                       may occur on many occasions such as age reporting and recording. Age reporting may
               Gu D and Feng Q (2019). Use   suffer from two types of errors, intentional and unintentional misreporting. Unintentional
               of the average age ratio method   misreporting mainly refers to the situation where the interviewee does not know or could
               in analyzing age heaping
               in censuses: The case of   not remember the exact birth date. By contrast,  intentional misreporting occurs when the
               China. International Journal of   interviewee, though knowing the exact birth date, chooses to “avoid” or “prefer” certain
               Population Studies, 5(1):13-26.   digits in reporting of his/her age (commonly known as digit preference), due to personal,
               doi: 10.18063/ijps.v5i1.979  cultural, and social considerations (Moultrie, Dorrington, Hill et al., 2013; United Nations,
               Copyright: © 2019 Danan Gu and  1983). For example, in a society where vital registration is underdeveloped, a young
               Feng Q. This is an Open Access   person who has not reached the minimum legal age for marriage may report an older age
               article distributed under the   for marital registration. Due to similar reasons, some young people may report older ages
               terms of the Creative Commons   in applications to join the military, and some older adults may exaggerate their ages for
               Attribution-NonCommercial 4.0
               International License (http://  the legitimacy of retirement welfare. Unintentional misreporting is mainly random, and
               creativecommons.org/licenses/  thus, it will not cause a severe bias in results. However, intentional misreporting would
               by-nc/4.0/), permitting all   lead to “age heaping,” a situation in which the population at a certain age or an age ended
               noncommercial use, distribution,   with certain digit significantly outnumbers populations at adjacent ages or ages ended
               and reproduction in any medium,
               provided the original work is   with other digits (Moultrie, Dorrington, Hill et al., 2013; Spoorenberg, 2007). This would
               properly cited.         introduce inaccuracy in the age statistics of population studies. Although the data quality

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