Simple exact analysis of the standardised mortality ratio
Bibliographic Data
| ID | 11173183 |
|---|---|
| Authors | F D K Liddell (McGill University Health Centre, corresponding author), F D Liddell |
| Year | 1984 |
| Volume | 38 |
| Issue | 1 |
| Pages | 85-88 |
| Publication date | 1984-03-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Journal of Epidemiology and Community Health (JOURNAL) |
| Journal identifiers | ISSN: 0143-005X • E-ISSN: 1470-2738 |
| Publisher | BMJ (PUBLISHER • GB) |
| DOI | 10.1136/jech.38.1.85 |
| PMID | 6707569 |
| OpenAlex | W2142919660 |
| Language | EN |
| Citations received | 18 |
| References cited | 6 |
The standardised mortality ratio is the ratio of deaths observed, D, to those expected, E, on the basis of the mortality rates of some reference population. On the usual assumptions--that D was generated by a Poisson process and that E is based on such large numbers that it can be taken as without error--the long established, but apparently little known, link between the Poisson and chi 2 distributions provides both an exact test of significance and expressions for obtaining exact (1-alpha) confidence limits on the SMR. When a table of the chi 2 distribution gives values for 1-1/2 alpha and 1/2 alpha with the required degrees of freedom, the procedures are not only precise but very simple. When the required values of chi 2 are not tabulated, only slightly less simple procedures are shown to be highly reliable for D greater than 5; they are more reliable for all D and alpha than even the best of three approximate methods. For small D, all approximations can be seriously unreliable. The exact procedures are therefore recommended for use wherever the basic assumptions (Poisson D and fixed E) apply
Alpha (finance) · Basis (linear algebra) · Confidence interval · Degrees of freedom (physics and chemistry) · Exact statistics · Exact test · Nominal level · Poisson distribution · Poisson regression · Population · Sample size determination · Simple (philosophy) · Statistics · Table (database) · Applied Mathematics · Computer Science · Health and Conflict Studies · Insurance, Mortality, Demography, Risk Management · Mathematics · Medicine
Occupational Mobility and Mortality in France
Estimating confidence limits on a standardised mortality ratio when the expected number is not error free
BR-EMS 2021 life table for the Brazilian insured population
The role of chronic disease in the disparity of influenza incidence and severity between indigenous and non-indigenous Australian peoples during the 2009 influenza pandemic
Impact of the First Covid Lockdown on Accident- and Injury-Related Pediatric Intensive Care Admissions in Germany—A Multicenter Study
Mortality by Cause of Death Among Immigrants and Natives in a South European Country
Professor Lidell replies
Regional mortality differentials in Greece by selected causes of death
All-Cause and External Mortality in Released Prisoners
Estimating Mortality Levels and Patterns among Natives, Immigrants, and Selected Ethnic Groups in Greece
Exact limits for the ratio of two SMR values
Mortality ratios, life expectancy, and causes of death in patients with Turner's syndrome
Mortality and causes of death in females with extra X chromosomes and males with extra Y chromosomes
Incidence of cancer in Bradford Asians
Causes of death in X chromatin positive males (Klinefelter's syndrome)
Effects of community-care networks on psychiatric emergency contacts, hospitalisation and involuntary admission
The Mortality of Psychoanalysts
Mobilité socioprofessionnelle et mortalité en France
| Unique citing works | 18 |
|---|---|
| Citations per year | 0,44 |
| Citation span | 1985 - 2023 (39) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 15 |