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Predicting
Infant Mortality
A
paper submitted in partial fulfillment of the
Requirements
for HCA 5311 Health Care Research Methods:
Design
and Analysis
28
November 2000
The United States has experienced a significant improvement in infant mortality rates over the last decade. A large portion of this improvement is attributed to advances in medical treatment of very low birth weight infants (Hamvas, 2000), which illustrates U.S. health care reliance on costly medical interventions rather than on preventive measures. Greater improvement is possible if health officials focused more on prevention of risk factors contributing to infant mortality. However, the multiple factors that influence infant mortality are not adequately understood (McCormick, 1999). A reliable method to assess multiple risk factors would allow health officials to focus interventions on preventive measures. This can reduce expensive medical requirements and the overall infant mortality in a specific population.
Infant mortality rates are a concern in this country as
they represent an essential indicator of nation’s health (Stuart-Brown,
2000). A number of indicators predict
infant mortality rates. Per capita
income is often cited as an indicator, yet the U.S. infant mortality rate ranks
behind many poorer countries, suggesting that wealth does not accurately
reflect a nation’s health (St. Peters & Tarlov, A. R., 1999). Other commonly used indicators include
income; mothers’ education level; distribution of available health care; low
birth weight and many others (MacDorman & Atkinson, 1999). However, the predictive ability of these
measures is not consistently demonstrated (Robinson & Wharrad, 2000). Much of the difficulty is due to the
multiple risk factors associated with infant mortality, which can serve to
obscure risk factors of greater significance.
A focus on preventing the most significant risks is needed to influence
infant mortality before birth (Flaherty, 1999).
The
purpose of this study is to evaluate seven independent variables as predictors
of infant mortality within a population.
Variables were selected for their ability to include multiple risks
associated with infant mortality as described by various studies (Lerner, 1995;
Luker, 1997; Short, 1999;).
Establishing confidence in aggregate predictors of infant mortality
allows health officials to identify populations with multiple risk factors.
This study hypothesized that infant mortality is a function of seven
selected independent variables. If this
relationship holds, a model is created to predict a population’s infant
mortality risk if provided that population’s data for a risk factor. The study also explores the statistical
correlation between independent variables as justification to use aggregated
risk factors to predict infant mortality.
Multivariate regression analysis, using SPSS for Windows v. 10.0.5
(standard version), was applied to examine the relationship between infant
mortality and seven risk factors.
Independent variables were selected for their ability to represent aggregates
of many risk factors that influence the dependent variable infant
mortality. Data was obtained for each
U.S. State and the District of Columbia (hereafter referred to as “51 states”)
for each of the variables. All data
represents 1997 vital statistics as reported and defined by the U.S. National
Center for Health Statistics (Statistical Abstract of the United States,
1999). Alpha probability was set at the
p < .05 level
for the data analysis. The Pearson
correlation was used to determine which of the seven independent variables best
predicted infant mortality, and to determine which variables to include in a
final predictive model.
The dependent variable consisted of n = 51 state’s infant mortality
rates. The independent variables
consisted of n = 51 states’ vital statistics for: low birth weight; births to
unmarried women, births to adolescents; people below the poverty level; people
without health insurance; children without health insurance; and per capita
income. All variables represent continuous
data (listwise, with no missing observations).
Pearson correlations were used to evaluate inter-relatedness among
independent variables, which identified variables to define as aggregates. The seven variables were analyzed for
predictive ability, the most predictive model was constructed, and the final
regression equation was used to predict the infant mortality rate for a
selected population. Bexar County,
Texas was selected as the population to test the predictive ability of the
final model. Bexar Co. data was
obtained from the Texas Department of Health.
Results
Descriptive statistics, correlations and significance levels are reported
in Appendix A. Table A2 contains multiple regression analysis results. The seven independent variable model showed
that five correlations, adolescent births, people below the poverty level,
people without health insurance, children without health insurance, and per
capita income, showed a range of
r = .511, .459,
.150, .131 and -.076 respectively, with associated significance levels of p < .001, .001, .147, .180, and
.298 respectively. These five
correlations were less significant than the remaining two; therefore, these
five variables were excluded from the model (see Table A1).
A model consisting of low birth weight and births to unmarried mothers
was constructed. Multiple regression
analysis of these two variables demonstrated a very significant ability to
predict infant mortality. Low birth
weight showed t (49) =
3.437, and births to unmarried mothers showed t (49) = 3.487. Both t-tests had significance levels of p < .001. This model showed R =
.820 and R square = .672. Analysis of
variance showed F (2, 48) =
49.098 and
p < .001. Based on these results, low birth weight and
births to unmarried mothers were accepted as the strongest predictors of infant
mortality. The other five variables
were rejected as less accurate predictors.
Evaluation of inter-relatedness between independent variables
demonstrated that low birth weight and unmarried mothers represent aggregate
variables of adolescent births, poverty level, and people and children with no
health insurance. Pearson correlations
for these four independent variables were significant at a range of p < .001 to p = .033, indicating that low birth
weight and unmarried mothers account for a high degree of aggregate risk to
predict infant mortality. Per capita
income showed no inter-relatedness to other independent variables and no
significant relationship as a predictor of infant mortality. Specific results of inter-relatedness are
displayed in Table A3. Data for Bexar
Co. low birth weight and births to unmarried mothers were applied to the
regression equation of the predictive model.
This application predicted the Bexar Co. infant mortality rate (actual rate
= 7.4, predicted rate = 7.3) within less than one standard deviation
(1.787). Results are presented in Table
A4.
Discussion
This study demonstrates that
infant mortality and births to unmarried mothers are very strong predictors of
infant mortality. Unmarried mothers
accounted for as much of the risk associated with infant mortality as low birth
weight, which is significant because the literature does not ascribe this
magnitude of importance to births to unmarried mothers. Per capita income and having no health
insurance are often cited as having a strong influence but did not
significantly correlate to infant mortality, which may be explained by
disparities of income that exist within populations. Poverty and adolescent births showed significant correlations to
infant mortality, but these were not as predictive as low birth weight and
births to unmarried mothers.
Correlation of four
independent variables (excluding per capita income) showed a high correlation
to low birth weight and to unmarried mothers, suggesting that these two
aggregates contain multiple risk factors associated with infant mortality. These findings imply that the degree of risk
commonly associated with certain risk factors is not as closely related to
infant mortality as some studies indicate.
Health planners should focus interventions on preventable risks that are
most closely associated with infant mortality.
Properly defined aggregate variables may be useful to this effort. This
study is limited in that it does not present a complete statistical analysis of
all risk factors associated with infant mortality. Meta-analysis applied to a comprehensive literature review of all
suspected risk factors would help to clarify the true relationships between
multiple risk factors and infant mortality rates in the U.S.
Appendix
A
Correlations for Seven Independent Variables as
Predictors of Infant Morality (N = 51)
Independent Variable Correlation Significance
Low Birth
Weight .767 (.001)
Unmarried Mothers .769 (.001)
Adolescent Births .511 (.001)
Below Poverty Level .459 (.001)
People Without .150 (.147)
Insurance
Children
Without .131 (.180)
Insurance
Per
Capita Income -.076 (.298)
Note. Table 1
displays Pearson correlations for multivariate regression analysis of seven
independent variables with infant mortality, indicating the probability (p
< .05) that a risk factor is related to infant mortality. Low birth weight and births to unmarried
mothers show the strongest relationship.
Multivariate Regression Analysis Results for
Infant Mortality Against Two Independent Variables (N = 51)
Independent Variables R2
F df (p) Constant B-Coefficient
Low Birth Weight .672 49.098 48 (.001) .06173 .541
and
Unmarried Mothers .672
49.098 48 (.001) .06173 .112
_____________________________________________________________________________________________
Note. Table 2 displays the model summary of multiple regression analysis results for low birth weight and births to unmarried mothers, showing variance accounted for, statistical significance (p < .05), degrees of freedom, the regression constant, and coefficients for the variables.
Pearson Correlation ( p ) of Inter-Relatedness Among Independent Variables (N = 51)
Adolescent Poverty Children People Per Capita
Births No Insurance No Insurance Income
Low Birth .584 (.001) .461 (.001) .265 (.030) .259 (.033) -.036 (.400)
Weight
Unmarried .580 (.001) .657 (.001) .347 (.006) .367 (.004) .048 (.368)
Mothers
Note. Table 3 illustrates that low birth weight and births to unmarried mothers represent aggregate variables to adolescent births, poverty, and not having health insurance. Per capita income was not significantly related.
Table 4
Prediction of Infant Mortality Rate for a Selected Population
Bexar County Variables Actual Value Regression Equation
Low Birth Weight (X1)
7.3 Y' = a + b1X1 + b2X2
Births to Unmarried Mothers (X2)
29.3 Y' =
.06173 + (.541)(7.3) + (.112)(29.3)
Infant Mortality Rate 7.4 Y' = 7.3 (rounded up from 7.29263)
Note. Table 4 illustrates Bexar Co., Texas actual values of low birth weight and births to unmarried mothers as applied to the regression equation of the predictive model. Y'represents the predicted value, a = the constant from the predictive model, and b = the coefficient for the appropriate variable. The model predicted Bexar Co. infant mortality rate within one standard deviation (infant mortality standard deviation = 1.787).
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