Odds Ratio Calculation for Cesarean Section and Type 1 Diabetes
The odds ratio is 0.167, calculated as (80/120) / (160/40) = 0.667 / 4.0 = 0.167, which mathematically suggests a protective effect of cesarean section against type 1 diabetes in this dataset. 1
Step-by-Step Calculation
Using the standard 2×2 contingency table formula:
- Cases (Type 1 Diabetes): CS = 80, Vaginal = 120
- Controls (No Type 1 Diabetes): CS = 160, Vaginal = 40
Odds of CS in cases = 80/120 = 0.667 1
Odds of CS in controls = 160/40 = 4.0 1
OR = 0.667 / 4.0 = 0.167 1
Critical Interpretation Warning
This calculated OR of 0.167 is biologically implausible and contradicts all established research evidence. 1 The result suggests cesarean section protects against type 1 diabetes, which is the opposite of what high-quality research demonstrates. 1
What the Real Evidence Shows:
Cesarean section increases type 1 diabetes risk by 2.5-fold (HR 2.5; 95% CI 1.4-4.3) in children followed from birth, independent of confounding variables. 2
Meta-analysis of over 5 million individuals shows elective CS increases T1D risk with adjusted OR = 1.12 (1.01-1.24) in cohort studies, and non-elective CS shows adjusted OR = 1.19 (1.06-1.34) in case-control studies. 3
CS accelerates progression to clinical diabetes in children who already have islet autoantibodies (adjusted HR 1.36; 95% CI 1.03-1.79), though it does not increase the initial development of autoimmunity. 4
The mechanism involves bypassing maternal vaginal/anal microbiome exposure and altered immune system development, particularly interacting with interferon-induced helicase genes (IFIH1), where CS combined with susceptible genotypes yields 9.1% 12-year diabetes risk versus <3% for other combinations. 2
Why Your Dataset is Wrong
The most likely explanations for this inverted OR are: 1
- Sampling bias: The control group has a grossly disproportionate CS rate (160/200 = 80%) compared to the case group (80/200 = 40%), which is epidemiologically impossible in real populations
- Reverse causation: The data may have been collected or categorized incorrectly
- Data collection errors: Cases and controls may have been mislabeled or the exposure/outcome definitions were flawed 1
In clinical reality, cesarean section rates in diabetic mothers are 4.3-fold higher than non-diabetic mothers 5, and CS is a risk factor for—not protective against—type 1 diabetes development in offspring. 2, 3, 4