Document j10Ome0QnRaKeGMLjmBYxnGy
MEMORANDUM
TO Jim Collins FROM Rob Schnatter
date July 17. 1996
Jim,
Attached is the section of my dissertation which addresses the comparison population for SFR's (i.e., the national population). If you have any questions, please call.
ARS:lm Attachment
Rob
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The stillbirth rate (SBR), or late fetal mortality rate is:
SBR _
number of fetal deaths 28 weeks or more total births
The latter measure includes stillbirths in the denominator, while the
former does not.
f. Calculation of confidence intervals
Confidence intervals for the above measures were calculated to
assess the precision of each measure. The confidence intervals assume
that the number of cases with the outcome of interest follows a
binomial distribution with the probability of success equal to the
adverse outcome percent. A slight reformulation for the sex ratio is
necessary, in that the number of male births over the total number of
births is the binomial parameter (rather than the ratio of males to
females). It is straight forward to convert the upper and lower
confidence limits for the male birth proportions back to corresponding
sex ratios. The confidence intervals were calculated according to the
exact binomial formula using the TRUE EPISTAT software package.
g. Standardized Fertility Ratios
Standardized fertility ratios (SFR's), are calculated as:
Observed births Expected births
where,
Observed births -
Births identified through the ERIS1 database
Expected births -
U.S. Birth probabilities times the womanyears at risk for pregnancy adjusted for parity of the employee, age of the female employee or spouse of male employee, and time of birth of the offspring.
1 ERIS is an acronym for Exxon's Employee Relations Information System DSW 476038.1373
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r
discussed extensively in the literature (Wong et al., 1979, Levine et al., 1980, Harber, 1981, Levine et al., 1981, Starr and Levine, 1983, Wong et al., 1985, Starr et al., 1986, Wong, 1986). These authors have raised the following issues regarding the calculation and interpretation of the SFR/SBR: (a) the correct terminology, (b) additive accumulation of expected births versus a multiplicative approach for each parity/year combination, (c) the adjustment of the post-employment (or post-exposure) observed/expected birth ratio by the pre-employment (pre-exposure) observed to expected ratio, (d) the inclusion of married employees only, (e) the inclusion of married woman-years only, (f) the inclusion of all parity levels versus only parity 1+, (g) the inclusion of surgically sterilized employees, (h) the inclusion of adopted/step-children in incrementing parity, (i) the inclusion of woman years directly after childbirth.
This project takes the following tacks on these issues: (a) the SFR terminology is used rather than SBR, since fertility rates are specific to 15 - 49 year olds, while birth rates are specific to the whole population. The method uses the reproductive experience of women 15 to 49 years of age, so corresponds more closely to a fertility rate rather than a birth rate; (b) expected births are accumulated additively, since Starr and Levine (1983) showed that the multiplicative procedure was biased; (c) no adjustment of the post employment observed and expected birth ratios are made by the pre employment observed/expected ratio. This is not done since the pre employment period is necessarily characterized by younger ages, lower
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parities, and earlier time periods, all of which generally result in
more expected births.
In addition, many (male) employees delay
childbearing until employment; (d) ever-married and never married
employees are included, since they are both present in the national
fertility rate tables, however, they are analyzed separately; (e) all
woman years are included, as in the national fertility rate tables; (f)
all parity levels are included, since they are present in the national
fertility rate tables; (g) surgically sterilized employees are included
since they are included in the national fertility rate tables; (h)
adopted and step children are not used to increment parity, since this
is not done in the national fertility rate tables; and (i) woman years
directly after childbirth are included, since they are included in the
national fertility rate tables.
The U.S. birth probabilities for single years through 1985 were
obtained through the National Center for Health Statistics (NCHS,
1988). The 1985 rates were used to calculate expected births for the
1986-88 time period.
Expected births were calculated after the date first employed
plus nine months for all employees. Observed births were enumerated
over the similar interval. Age and parity were treated as dynamic
variables, while birth cohort (year of birth) was constant. Expected
births specific to age (or wife's age), parity and birth cohort were
calculated for each employee and totalled. Indirect standardization
methods were used to weight the expected births calculation to the
woman years at risk distribution in the study population, according to
age, parity, and calendar time period. The software program used to
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calculate SFR's was developed by Levine and colleagues at CUT and was
pretested extensively. These investigators have used the program in
several publications. Methods for testing the accuracy of ERIS data
will be described in a following section of this chapter. Ninety-five
percent confidence intervals were computed for the SFR's according to
the formula of Byar, cited in Rothman and Boice (1979).
h. Participant/non-participant SFR's
SFR calculations (using ERIS data) were performed separately for
participants and non-participants. This analysis provides insight on
whether there is response bias relative to fertility in questionnaire
respondents. Response bias is indicated if SFR's between participants
and non-participants differ significantly (i.e. the SFR confidence
intervals do not overlap) . This analysis differs slightly from the
assessment of the coefficient fo.r parity in logistic analyses described
above.
This assessment is a direct measure of birth spacing
differences in respondents versus non-respondents, while the parity
coefficient does not account for birth spacing.
4. Workplace medical records
The final method of investigating possible response bias used an
independent database to investigate certain outcome measures. This
analysis was not budgeted in the initial proposal, but was possible due
to a simultaneous record abstraction in these workers for a separate
mortality study. Workplace medical records were blindly abstracted for
a sample of participants and non-participants.
Documentation of
miscarriages and infertility were abstracted from these records. This
analysis was restricted to these two outcomes for the following
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