Baglanyşyk Kalkülatory
Ortaça, SD we ululykdan ortaça üçin bir ynam aralygy bina et.
Netijeler ýazýan wagtyň täzelener.
Bu hasapçy hakda
A confidence interval gives a range that is likely to contain the true population mean, estimated from a sample. Instead of a single best guess it reports a band together with a confidence level that says how often such bands capture the true value.
This calculator uses the z-interval: mean ± z*·(σ / √n), where z* is the standard-normal critical value for your chosen confidence level (1.645 for 90%, 1.96 for 95%, 2.576 for 99%) and σ / √n is the standard error. It reports the bounds, the margin of error and the standard error, and a table shows the interval at the 90%, 95% and 99% levels so you can see how the range widens as you demand more confidence.
Worked example: a sample mean of 100 with a standard deviation of 15 and 50 observations has a standard error of 15 ÷ √50 ≈ 2.12. At 95% confidence the margin is 1.96 × 2.12 ≈ 4.16, giving an interval of about 95.84 to 104.16. The z-interval suits large samples (roughly n ≥ 30) or a known population standard deviation; for small samples use a t-interval instead.
Köp soralýan soraglar
95% confidence interval
Bu manyda eger siz bir näsahy birnäçe gezek gaýtalap we her gezek bir aralyk gursaňyz, bu aralyklaryň 95% -i hakykatda halkyň ortasyny içer. Bu ortanyň bu bir belli aralykda 95% -lik mümkinçiligi bar diýmek däl.
Men näçe wagt t aralygy ulanyp biljek?
Use a t-interval when the sample is small (roughly under 30) and the population standard deviation is unknown. The t-distribution has heavier tails, giving a slightly wider, more cautious interval than this z-based one.
Güman aralygy haçan hasap edilýär?
Hata hadysasy aralykyň yary giňligidir, z*· (σ / √n). Siz üsti we asty çäkleri almak üçin ony mysal ortasyndan goşyp we çykaryp bilersiňiz, şonuň üçin kiçi hadysasy has dogry baha bermäge mysal bolup biler.
Men bir ynam aralygyny nädip darlaşdyryp bilerin?
Biziň özümiziň öwrümimiz n-iň kvadrat köki bilen kiçelýänsoň has uly bir öwrüm ýygnaň ýa-da has az bir ynam derejesini kabul ediň. Seniň dataňda üýtgeşmeleri azaltmak aralygy hem kiçeldýär. 4-e bölmek öwrümiň öwrüminiň takmynan ýarysyny alýar.
Beýik bir ynam derejesi aralygy giňeldermi?
Eý. Beýleki ynamlylyk talap etmek uly bir z* kritik bahany ulanýar, şonuň üçin 99% aralyk 95% aralykdan has uludyr. Her wagt ynamlylyk bilen dogrylyk arasynda bir alyş bar.
Standart hata näme?
Standart hata, standart öçüm, nusga ululygynyň kvadrat köki bilen bölünendir (σ / √n). Bu nusga ortasynyň öz- özünden nusgadan nusga aralaşyp, näçe üýtgejegini ölçeýär we hata marjynyň bina bloky bolup durýar.
API — bu hasapçyny koddan ullan
Bu hasapçyny boş JSON ahtar noktasy hökmünde çagyr - açar gerek däl. Aşakdaky meýdança mykdarlaryny soragyň parametrleri ýa-da JSON hökmünde iber. Siziň goýmaýan hernäňiz şu sahypanyň öň bellenen öň bellenenini ulanýar; namydar parametr 400, hiç wagt sessiz sıfır däl. Eňlisçe senedleri oka →
Endpoint
GET https://calculator.free/api/v1/confidence-interval/curl
curl "https://calculator.free/api/v1/confidence-interval/?mean=100&sd=15&n=50&conf=1.96"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/confidence-interval/?" + new URLSearchParams({
"mean": "100",
"sd": "15",
"n": "50",
"conf": "1.96"
}));
const data = await r.json();
console.log(data.results);Netijeler diňe umumy ýardam üçin hasaplanypdyr, maliýe, saglyk ýa-da salgyt maslahaty üçin däl.