Margin ya Error Calculator
Pezani margin of error ya ndondomeko ya kafukufuku.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
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.
Mafunso ofunsidwa nthawi zambiri
N’chifukwa chiyani chitsanzo chachikulu chimachepetsa malire a vuto?
The margin amakula ndi square root wa mtundu wa chitsanzo, choncho quadrupling n amadula margin of error.This kuwonjezeka kubweza ndi chifukwa chakuti zizindikiro kwambiri lalikulu zofunika kukanikiza margin pansi pa imodzi kapena awiri peresenti zigawo.
N’chifukwa chiyani 50% ndi gawo loyambirira?
Mtengo p (1 - p) ndi wamkulu pa p = 0.5, choncho kukhulupirira 50/50 kugawidwa amapanga waukulu, kwambiri conservative malire a zoipa.Kugwiritsa ntchito izo amatsimikizira malire weniweni si wamkulu kuposa kuonedwa.
Kodi ndingatani kuti ndiwerengere malire a vuto?
Kuwonjezera zofunika mfundo z * kwa confidence level yanu ndi square root wa p (1 - p) ÷ n. Kwa p = 0.5, n = 1000 ndi 95% confidence, kuti ndi 1.96 × √ (0.25 ÷ 1000) ≈ 3.1 peresenti mapoints.
Kodi ndi chiyani kusiyana pakati pa malire a vuto ndi confidence mphindi?
Mpaka wa vuto ndi theka-mtunda; confidence mtunda ndi malire onse inu mupeza powonjezera ndi kuchotsa mtunda kuchokera zotsatira zanu. 48% zotsatira ndi 3-point mtunda amapatsa confidence mtunda wa 45% kuti 51%.
Kodi anthu ambiri amafuna malire ochuluka a zolakwika?
Sichoncho. Kuposa anthu ambirimbiri, kukula kwa anthu sikunakhudze kwambiri malire – zomwe zikufunikira ndi kukula kwa chitsanzo. Izi ndi chifukwa chake bungwe lazandale ndi bungwe la mzinda likhoza kugawana malire amodzi ndi anthu oyankhula enawo.
Kodi confidence level amasintha margin of error?
Kusintha kuchokera 95% (z * = 1.96) kuti 99% (z * = 2.576) amawonjezera malire ndi za 31% kwa chitsanzo chimodzimodzi.
API — kugwiritsa ntchito izi calculator kuchokera code
Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Chomweko chilichonse chimene mumasiya chimagwiritsa ntchito mfundo yoyamba yomweyi yomwe tsambali limagwiritsa ntchito; mfundo yosadziwika ndi 400, siyiyenera kukhala zero yosadziwika. Onani zonse API docs →
Chithunzi
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);Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.