Dear Statalisters,
I am working with normally distributed test results in patients with and without a disease condition related to alpha (accuracy parameter) and beta (threshold parameter) such that:
alpha = (2*pi/sqrt(3))*[ (mu_nd - mu_d)/(sigma_nd + sigma_d)]
beta = (sigma_nd - sigma_d)/(sigma_nd + sigma_d)
where mu_nd and sigma_nd are the mean and standard deviation of test results in N_nd non-diseased patients
and mu_d and sigma_d are the mean and standard deviation of test results in N_d diseased patients.
How may I compute standard errors and/or confidence intervals for alpha and beta?
Thanks for your assistance.
Ben
Ben Adarkwa Dwamena, MD
Assistant Professor of Radiology
Division of Nuclear Medicine
Department of Radiology
University of Michigan Health Systems
B1G505 UH SPC 5028
1500 E. Medical Center Drive
Ann Arbor, MI 48109-5028
[email protected]
http://sitemaker.umich.edu/metadiagnosis
Staff Physician
D748 Nuclear Medicine Service (115),
VA Ann Arbor Health Care System
2215 Fuller Road
Ann Arbor, MI 48105
734-845-3775 Phone
734-845-3252 Fax
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