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Danan Gu

                                      ployed survival analysis techniques with time between any two adjacent surveys (in terms
                                      of days) as the exposure length, and survival status (surviving vs. dead) at the end of the
                                      period of the two adjacent surveys as an event. The dates of the interviews were recorded
                                      for each wave. For those who died between two adjacent waves, the dates of death were
                                      collected from officially issued death certificates whenever available; the next-of-kin and
                                      the local residential committee were consulted when a death certificate was not available.
                                      The quality of mortality data in the CLHLS is high (Gu and Dupre, 2008).
                                      2.2.5 Controls
                                      To obtain robust results, we controlled several sets of covariates that are shown in the lite-
                                      rature to be associated with mortality (Wen and Gu, 2011); the covariates included demo-
                                      graphics, socioeconomic status, and health practice. Demographics included age, residence
                                      (urban vs. rural), and ethnicity (Han vs. non-Han). Sex was not considered as a covariate
                                      since all analyses were stratified by sex. Socioeconomic status included years of schooling
                                      (0, 1–6, and 7+), primary lifetime occupation (professional/administration (white collar) vs.
                                      others), and economic independence measured by whether the respondent has retirement
                                      wage/pension or own earnings (yes vs. no). Family support was measured by co-residence
                                      with  children (yes  vs. no) and marital  status (currently  married vs.  unmarried).  Health
                                      practice was  measured by  currently smoking (yes vs.  no),  currently consuming alcohol
                                      (yes vs. no), and regularly exercising (yes vs. no). The sample characteristics are presented
                                      in Table 1.
                                      2.2.6 Analytical Strategy
                                      The Weibull parametric survival function was applied because some of the variables vi-
                                      olated the proportionality assumption required by the Cox proportional hazard model. As
                                      noted early, respondents who were lost to follow-up were excluded because we did not
                                      know their survival information. Other alternative approaches such as imputing the sur-
                                      vival information, treating them as right-censored, or treating them as a specific category
                                      yielded similar results. In the original design, several sequential models were conceived to
                                      examine how the  association  between concordance/discordance  of  OSA and SSA was
                                      changed in the presence of different covariates that included demographics, socioeconom-
                                      ic status and family support, and health practice. However, because the results of the se-
                                      quential models are very close to each other, we only presented the results from the final
                                      model  that includes all  covariates (the results from the sequential models  are  available
                                      upon request). The proportion of missing values for all variables in the analysis was less
                                      than 2%. To reduce possible bias due to missing values in the analysis and inferences, we
                                      employed multiple  imputation techniques for all variables. We  did  not  apply sampling
                                      weights to the regression models because the CLHLS weight variable was unable to reflect
                                      the national population distributions with respect to variables other than age, sex, and ur-
                                      ban/rural residence (Wen and Gu, 2011)
                                        We also performed additional tests to examine improved predictive power of concor-
                                      dance and discordance of OSA and SSA for mortality risk (controlling for all covariates in
                                      the analysis) by performing two alternative models that treated OSA and SSA as two in-
                                      dependent variables. All analyses were performed using STATA 13.0.

                                      3. Results
                                      Table 1 presents the sample distribution for study variables and covariates by sex. One
                                      interesting result in Table 1 is that it is more common to be in objectively poor health, but
                                      subjectively good health (Type II) (18.7% for women and 21.4% for men), rather than the
                                      other way around (Type III) (3.9% for women and 7.9% for men); it is much more com-
                                      mon to be in both objectively and subjectively poor health (75.0% for women and 64.4%

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