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Posted: November 29th, 2017
logistic regression and odds ratio
Question description
Suppose we have data from a health survey conducted in year
2010 – Essay Writing Service: Write My Essay by Top-Notch Writer. Data were obtained from a random sample of 2342 persons.
A dichotomous logistic regression analysis was conducted in
the following way:
Dependent Variable (Y): Self-reported general health (1 if
not healthy, 0 if healthy)
Independent Variables: Gender (1 if female, 0 if male)
Age (in years)
Race/Ethnicity (binary variables
for “Non-Hispanic Black” “Hispanic” and “Others”; the reference category is
“Non-Hispanic White”)
Form of the equation: where p is the probability of being
self-reportedly unhealthy and Xj’s
(j=1, 2, …, k) are independent variables. Age range of the sample: 25-84. The log(p/(1-p))
is also called log odds. (Note, the
logarithm we used in the class is natural log. If you use EXCEL, make sure to
use the ln() function instead of the log() function).
The computer output is given below. The column labeled
“Beta” shows estimated regression coefficients, i.e., α and β’s in the above
equation. (It can be interpreted that beta’s for the reference categories,
“Male” and “Non-Hispanic White”, are fixed to be zero.)
Variables
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Beta
P-value
Exp(beta)
intercept
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