Samaynta
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Ku saabsan Kalkaaliyahan
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.
Su'aalaha badanaa la isweydiiyo
Sidee waa miisaanka tusaale ah la xisaabiyey?
Foomka salka waa n = z² · p (1 − p) / e², halkaas oo z waa kalsoonida qiimaha muhiimka ah, p qaybta la filayo iyo e xagalka qalad sida decimal. Natiijadu waa la wareegay sababtoo ah ma aad u soo uruurin kartaa qayb ka mid ah qof.
Waa maxay saxnaanta tirada dadku ku dhammaato?
Marka dadku yar yahay, waxaad u baahan tahay jawaabo ka yar sida foomka salka soo jeedinaya. The hagaajinta n = n₀ / (1 + (n₀ − 1)/N) hoos u tusaale u ah tirada dadka N. Waa muhiim ugu badan marka tusaale waa qayb weyn oo ka mid ah guud ahaan.
Tirada dadka ma waxaan u baahanahay 95% heerka kalsoonida?
Waxay ku xiran tahay xaddidaadda qaladka aad aqbali kartaa. At 95% kalsooni la 5% xaddidan iyo wax qiimeyn hore ah oo aad u baahan tahay oo ku saabsan 385 jawaabayaal; 3% xaddidan u baahan yahay oo ku saabsan 1,068 iyo 1% xaddidan oo ku saabsan 9,604.
Maxaa sababta oo ah miisaanka tusaale ah oo la wareegay?
Waxaad ka qayb qaadan kartaa cilmi baadhis qof, sidaas darteed wax kasta oo natiijo qaybo ah waa la wareegay ilaa tirada buuxda ee soo socda. wareegaya kor si ka duwan hoos u xaqiijinaya in xaddiga qaladka ma aha mid ka weyn oo aad u baahan tahay.
Ma waxaan ka tagtaa tirada dadka oo aan buuxin?
Ka tag sixirka (ama buuq) marka dadka waa aad u weyn ama aan la aqoon, taas oo siineysa standard "dadka aan xad lahayn" oo ah miisaanka tusaale. Ku soo gasho dad badan oo dhab ah oo kaliya marka ay tahay si yar oo ku filan in hagaajinta macno ahaan hoos u tusaale.
Sidee baan u yareyn karaa miisaanka tusaale loo baahan yahay?
Aqoonso xagal weyn oo qalad ah, isticmaalka heerka kalsoonida hooseeya, ama qayb ka sii ka 50% haddii aad leedahay qiimeyn ku kalsoonaan karo. mid kasta oo ka mid ah kuwaas oo hoos u dhigi tirada jawaabaha formula dalbaday.
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/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);
Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.