How does the Odds Ratio Calculator work?

OR = (a×d) / (b×c) Then: a=exposed cases, b=exposed controls, c=unexposed cases, d=unexposed controls Then: 95% CI: e^(ln(OR) ± 1.96×SE) Then: SE = √(1/a + 1/b + 1/c + 1/d).

Can you give an example of how to use the Odds Ratio Calculator?

Example: Input a=100, b=50, c=200, d=300 gives a result of OR = (100×300)/(50×200) = 3.0.

Is the Odds Ratio Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Odds Ratio Calculator?

Our Odds Ratio Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

గణితం

Odds Ratio Calculator

2×2 contingency table: a=exposed/case, b=exposed/control, c=unexposed/case, d=unexposed/control

a (exposed, case)

b (exposed, control)

c (unexposed, case)

d (unexposed, control)

✓Odds Ratio

Odds Ratio

3.0000

ln(OR)

1.0986

95% CI

[2.044, 4.403]

OR = 1: no association | OR >1: positive association | OR <1: negative association

The odds ratio (OR) measures the association between an exposure and an outcome in case-control studies. An OR > 1 indicates increased risk; OR < 1 indicates reduced risk; OR = 1 indicates no association.

Symbol	Name	Unit	Description
a, b, c, d	2×2 table cells	—	[[a,b],[c,d]]
OR	odds ratio	—	—

OR value	Association	Meaning
< 1	Negative	Exposure protective
= 1	None	No association
1.1–1.5	Weak positive	Slight increased risk
1.5–3.0	Moderate	Meaningful association
> 3.0	Strong	Strong association

References

›Odds ratio — Wikipedia

🔒

100% ఉచితం

సైన్ అప్ అవసరం లేదు

✓

ఖచ్చితమైన

ధృవీకరించబడిన సూత్రాలు

⚡

తక్షణమే

టైప్ చేసేటప్పుడు ఫలితాలు

📱

మొబైల్ రెడీ

అన్ని పరికరాలు

గురించి

Convert between probability and odds. Fast and accurate result with formula, step-by-step method and unit overview. Free tool.

✓ 100% ఉచితం · నమోదు అవసరం లేదు

◆లో ప్రజాదరణ Math

మరింత అన్‌లాక్ చేయండి!

Step-by-step solutions
Formula breakdowns
Save history
Remove ads

సంబంధిత కాల్క్యులేటర్లు

ఈ కాల్క్యులేటర్‌ను పొందుపరచండి

ఈ కాల్క్యులేటర్‌ను మీ వెబ్‌సైట్‌లో ఉచితంగా జోడించండి!

ప్రివ్యూ URL

ఎంబెడ్ కోడ్

Odds Ratio Calculator