Margin of khaladaadka Calculator
Ka hel xadka khaladaadka ah qaybta cilmi baarista.
Natiijooyinka cusbooneysiinta sida aad ku qorto.
Ku saabsan Kalkaaliyahan
The margin of error tells you how far a survey result is likely to be from the true population value — the "plus or minus" figure quoted next to poll results. For a proportion it is z*·√(p(1 − p) / n), where p is the sample proportion, n the sample size and z* the critical value for your confidence level (1.96 for 95%).
It reports the margin, the confidence-interval bounds around your proportion and the full interval width, and a table shows how the margin shrinks as the sample grows. The default 50% proportion gives the most conservative (largest) margin, because the quantity p(1 − p) peaks at p = 0.5, which is why pollsters often quote it.
Worked example: with 1,000 respondents split 50/50 at 95% confidence, the margin is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈ 1.96 × 0.0158 ≈ 3.1 percentage points. So a poll result of 50% really means somewhere between about 46.9% and 53.1%. To halve that margin you would need roughly four times the sample.
Su'aalaha badanaa la isweydiiyo
Maxaa yeelay, tusaale weyn hoos u marxalada qaladka?
The xagal yaryar la jilicsan yahay ee aasaaska square ee miisaanka tusaale, sidaas afar jeer n kala badh xagalka qalad. this soo noqnoqda ayaa sababta oo ah tusaalooyinka aad u weyn oo loo baahan yahay in ay u dhaqaajiyaan xagalka hoos mid ama laba dhibcood boqolkiiba.
Maxaa 50% ah qaybta default?
Qiimaha p (1 - p) waa ugu weyn ee p = 0.5, sidaas darteed la yaab leh 50/50 kala qaybsan soo saaro ugu ballaaran, ugu badan ee xaddidaadda conservative ee khaladaadka.
Sideen u xisaabiyaa xaddiga khaladaadka?
Ku baddal qiimaha muhiimka ah z * heerka kalsoonidaada by square root of p (1 − p) ÷ n. For p = 0.5, n = 1000 iyo 95% kalsoonida, taas oo ah 1.96 × √ (0.25 ÷ 1000) ≈ 3.1 boqolkiiba dhibcood.
Maxaa ka duwan yahay u dhexeeya xaddiga qalad iyo kala badh kalsooni?
Xaddidaadda qaladka waa badh-dhererka; xaddidaadda kalsoonida waa heerka buuxa aad ka heli kartaa iyadoo la kordhinayo iyo ka qaadista xaddidaadda ka natiijooyinkaada. A 48% natiijooyinka la xaddidaadda 3-point siiyaa xaddidaadda kalsoonida ee 45% ilaa 51%.
Ma dad badan oo ka badan u baahan tahay xagal ka weyn oo qalad ah?
No. Ka dib qaar ka mid ah kun oo qof oo tirada dadka yar yar saamayn ku leh xaddidaadda - waxa muhiimka ah waa tirada tusaale ah. Taasi waa sababta codbixinta qaranka iyo codbixinta magaalada ay ku wadaagaan xaddidaadda la mid ah oo la mid ah tirada dadka jawaabay.
Sidee ayuu heerka kalsoonida u beddeli karaa xaddiga qaladka?
A heerka kalsoonida sare u isticmaalaa z weyn *, taas oo ballaadhisa xaddidaadda. Ka dhaqaaqa 95% (z * = 1.96) ilaa 99% (z * = 2.576) kordhisa xaddidaadda by ku saabsan 31% ee tusaale la mid ah.
API — isticmaal xisaabinta ka code
Wici xisaabinta sida free JSON endpoint - key ma loo baahan yahay. Dib u soo dir qiimaha goobta hoos ku qoran sida parameters su'aal ama JSON. Wax kasta oo aad ka maqan tahay isticmaalaa default la mid ah ee boggani waa hore loo buuxiyey la; parameter aan la aqoon waa 400, marnaba ma aha zero maqan. Akhri dhammaan API xuquuqda →
Xarafka
GET https://calculator.free/api/v1/margin-of-error/curl
curl "https://calculator.free/api/v1/margin-of-error/?n=1000&p=50&conf=1.96"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/margin-of-error/?" + new URLSearchParams({
"n": "1000",
"p": "50",
"conf": "1.96"
}));
const data = await r.json();
console.log(data.results);Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.