Sampuli Size Calculator
Pezani kukula kwa chitsanzo kafukufuku kwa zolinga margin of error.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
This sample size calculator finds how many people you need to survey for a chosen margin of error and confidence level — the planning step before you run a poll or study. It uses the standard formula n = z²·p(1 − p) / e², where z is the critical value for the confidence level, p the expected proportion and e the target margin of error as a decimal.
When you supply a total population size it also applies a finite-population correction, n = n₀ / (1 + (n₀ − 1)/N), which lowers the required sample when you are surveying a large fraction of a small group. A table shows the sample needed at several common margins of error, and the result is always rounded up because you cannot survey a fraction of a person.
Worked example: for a 5% margin at 95% confidence with an unknown proportion (p = 0.5), n = 1.96² × 0.5 × 0.5 ÷ 0.05² = 3.8416 × 0.25 ÷ 0.0025 ≈ 384.16, so you need 385 respondents. Tightening the margin to 3% pushes that to about 1,068. The default 50% proportion gives the largest, safest sample; entering a better estimate of the true proportion reduces it.
Mafunso ofunsidwa nthawi zambiri
Kodi ndi mtundu wachitsanzo anawerengedwa?
Mfundo yoyamba ndi n = z²·p(1 − p) / e², komwe z ndi tanthauzo lofunikira la kukhulupilira, p ndi gawo loyembekezeredwa ndi e ndi malire a vuto monga decimal. Chithunzichi chimazungulira chifukwa simungathe kuyesa gawo la munthu.
Kodi ndi chiyani cholakwika cha anthu omaliza?
Ngati anthu anu ndi ochepa, muyenera mayankho ochepa kuposa momwe formula ya basis ikunena. Kusintha n = n₀ / (1 + (n₀ − 1)/N) kumachepetsa chitsanzo kudzera mu kukula kwa anthu N. Zimakhudza kwambiri pamene chitsanzo ndi gawo lalikulu la zonse.
Kodi anthu angati ndiyenera kuti ndikhale ndi 95% confidence level?
Ku 95% confidence ndi 5% margin ndi palibe zolinga za m'mbuyomu muyenera zokhudza 385 oyankhula; 3% margin amafuna zokhudza 1,068 ndi 1% margin zokhudza 9,604.
N’chifukwa chiyani kukula kwa chitsanzo chimazunguliridwa?
Simungathe kufunsa mbali ya munthu, choncho chilichonse chosawerengeka chimazungulira mpaka kumapeto kwa mnda wazolemba. Kuzungulira mpaka pamwamba kuposa pansi kumatsimikizira kuti malire a vuto si akulu kuposa zomwe mukufuna.
Kodi ndiyenera kuchotsa kukula kwa anthu?
Leave it at zero (or blank) when the population is very large or unknown, which gives the standard "infinite population" sample size. Enter a real population only when it is small enough that the correction meaningfully reduces the sample.
Kodi ndingatani kuti ndichepetse zofunikira kukula kwa chitsanzo?
Kuvomereza lalikulu mlingo wa vuto, kugwiritsa ntchito pansi confidence level, kapena kupereka gawo mbali kuchokera 50% ngati muli ndi kuyerekezera molimba mtima.Kawirikawiri, izi amachepetsa idadi ya mayankho formula akufuna.
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/sample-size/
curl
curl "https://calculator.free/api/v1/sample-size/?conf=1.96&e=5"
JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/sample-size/?" + new URLSearchParams({
"conf": "1.96",
"e": "5"
}));
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.