Strategies for data analysis: case-control studies

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Strategies for data analysis: case-control studies Gilda Piaggio UNDP/UNFPA/WHO/World Bank Special Programme of Research, Development and Research Training in Human Reproduction World Health Organization Geneva, 23 February 2006

Design of case-control studies: retrospective Exposed Cases Non-exposed Controls Then measure exposure First select

Prevalence of disease is fixed by design Prevalence of disease is fixed by design Cases Controls Exposed a b Non-exposed c d Fixed margins a+c and b+d

Prevalence of exposure in cases and controls and odds of being exposed In case-control studies we can calculate: Prevalence of exposure in cases and in controls a/(a+c) and b/(b+d) The odds ratio to measure association between disease and exposure: The odds of being exposed for a case is a/c The odds of being exposed for a control is b/d The odds ratio of exposed vs non-exposed is OR = (a/c)/(b/d) = (a x d)/(b x c) We cannot calculate the relative risk (RR)

Interpretation of the odds ratio Interpretation of the odds ratio If exposure and disease are not associated, OR=1 If exposure and disease are positively associated, OR>1 If exposure and disease are negatively associated, OR<1 The OR is a good estimation of the RR if the disease is rare

Strategy for data analysis for case-control studies Describe study profile: number of cases and controls, identified and analyzed Baseline characteristics of cases and controls Crude ORs for different categories of use and risk factors ORs for different categories of use and risk factors, adjusting for confounders

Example Lancet 1985; 326:970-972 Study aim was to investigate relation between use of oral contraceptives (OCs) by young women and their risk of breast cancer Cases: women 20-44 years at initial diagnosis of breast cancer, between Dec 1 1980 and Dec 31 1982, resident in 8 regions of the US, identified from population-based cancer registries. Controls: women 20-44 years selected during same 25 months as the cases were diagnosed, residents of the 8 regions, selected randomly by telephone calls to households.

Study profile: cases Identified: 2573 Included: 2088 (81.2%) Not included: 485 6.4% refused to participate 3.7% died or were too ill 8.7% miscellaneous reasons

Study profile: controls Sampled: 5698, of which 2469 eligible Included: 2065 (83.6%) Not included: 404 11.2% refused to participate 2.2% moved out 3.0% miscellaneous reasons

Baseline characteristics of cases and controls Cases(%) Controls(%) Age 20-24 24 0.7 5.1 25-29 29 6.0 8.2 30-34 34 18.3 20.8 35-39 39 33.5 28.6 40-44 44 41.4 37.3 Family history of breast cancer Yes 29.1 18.7 No 42.3 51.4 Unknown 28.6 29.9

Baseline characteristics of cases and controls Cases(%) Controls(%) Age at first term pregnancy Nulliparous 18.2 18.4 <20 19.1 22.1 20-22 22 23.1 24.7 23-26 26 22.3 21.6 27-29 29 9.2 7.6 >29 7.0 4.0 Parous, unknown age 1.1 1.6 Benign breast disease surgery Yes 4.5 2.3 No 87.2 91.7 Unknown 8.3 6.0

Results: crude ORs Cases Controls Exposed 1701 1662 Non-exposed 387 403 OR=1.07 All 2088 2065 Stratification and confounding variables?

Results: crude ORs Age at Cases(%) Controls(%) diagnosis or OR selection N % ever N % ever users users 20-24 24 15 100.0 106 69.8-25-29 29 126 86.5 169 87.6 0.91 30-34 34 382 89.3 429 88.1 1.13 35-39 39 700 86.4 590 85.1 1.11 40-44 44 865 73.0 771 72.6 1.02 Total 2088 81.5 2065 80.5 1.07

Results: adjusting We need to adjust for factors associated with the risk of breast cancer or with the likelihood of diagnosis: Age at diagnosis or selection Family history of breast cancer Age at first term pregnancy History of surgery for benign breast disease Frequency of breast examination Techniques to adjust ORs: Logistic regression Mantel-Haenszel

Results: adjusted ORs Age at Cases(%) Controls(%) diagnosis or OR(95% CI) selection N % ever N % ever (adjusted) users users 20-24 24 15 100.0 106 69.8-25-29 29 126 86.5 169 87.6 1.0 (0.5-2.1) 30-34 34 382 89.3 429 88.1 1.2 (0.7-1.8) 35-39 39 700 86.4 590 85.1 1.1 (0.8-1.6) 40-44 44 865 73.0 771 72.6 1.1 (0.9-1.4) Total 2088 81.5 2065 80.5

Conclusions There was no significant increase or decrease in the risk of breast cancer for OC users according to Age at diagnosis Age at first use Duration of use Use before first term pregnancy Use of OCs by young women in the US has no effect on the risk of breast cancer before 45 years of age