Àwọn Àwọn Ààtòjú àwọn Àwọn Ààtòjú

Ṣẹ̀dà àwọn ìpele ìròyìn fún àwọn ìpele àwọn ìṣàmúlò-ètò, SD àti ìwọ̀n.

Àwọn ìdàlẹ̀ ìsàlẹ̀ —

Àwọn ìdàjú ìsàlẹ̀-ilà —

Àwọn àwọn ìṣàmúlò-ètò —

Àṣìṣe ìpéwọ̀n —

Àwọn Àtòjọ-ẹ̀yàn àwọn ìṣàmúlò-ètò

Ńlà àwọn àwọn ààtò àtòjọ-ẹ̀yàn yìí?

Àkóónú ìṣàmúlò-ètò yìí

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.

Àwọn Àtòjọ-ẹ̀yàn

Kini idi ti 95% confidence interval fi tumọ si?

Ó tumọ̀ pé tí o bá dá àwọn ààyè àwọn ìṣàmúlò-ètò padà sípò nígbà kaǹ, nípa 95% tí àwọn ààyè náà ní àwọn àwọn ìṣàmúlò-ètò àìdálẹ̀ àwọn ìṣàmúlò-ètò. O kò tumọ̀ pé o ní àwọn ìṣàmúlò-ètò 95% tí àwọn ìṣàmúlò-ètò náà bá jẹ́ nínú àwọn ìṣàmúlò-ètò kaǹ.

Njẹ́ mò yẹ́ ki mò lo àwọn ìpele t-ìdáràn nípa?

Lo àwọn ìpele t-tí àwọn ààyè-iṣẹ́ bá jẹ́ kéré (nínú àwọn ìpele 30) àti àwọn ìpele ìṣàfarawégbèyè àwọn eeyan kò bá mọ̀. Àwọn ìpele t-ní àwọn ààyè-iṣẹ́ tí a tí ìjádè jù lọ, tí a fi àwọn ìpele tí a tí ǹpà jù lọ, tí a fi àwọn ìpele tí a tí ǹpà jù lọ.

Kini àwọn ìṣàmúlò-ètò àìdálẹ̀ àìpàlẹ̀ nínú àwọn ìpele àìpàlẹ̀?

The margin of error is the half-width of the interval, z*·(σ / √n). You add and subtract it from the sample mean to get the upper and lower bounds, so a smaller margin means a more precise estimate.

Bawo ni mo ṣe lè mú àwọn ààyè-iṣẹ́ àìdárá àìdárá?

Fi àwọn ààyè ìṣàmúlò-ètò tí o jù jù lọ, látigbà tí ìwọ̀n náà tí n bá pọ̀ jù lọ nípa àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè àwọn ààyè

Ńlá ìpele ìròyìn tí o gà jú ìpele àwọn ìṣàfarawé àwọn ààyè-iṣẹ́ lọ́wọ́lọ́wọ́?

Ya. Ìgbà tí a bá fẹ́ ìròyìn tí o jù lọ ló n ló àwọn fálù tí o jú jú lọ z*, láti jẹ́ pé àwọn ìparí iṣẹ́ 99% ní o jù àwọn ìparí iṣẹ́ 95% tí a tí kọ̀ nípa àwọn àkọsílẹ̀ tí a tì kọ̀ nípa. Ní gbogbo àkóónú ní àwọn ìpàsẹ̀ pẹ̀lú ìròyìn àti àwọn ìpéwọ̀n.

Kini àwọn ìṣàmúlò-ètò ìṣàmúlò-ètò?

The standard error is the standard deviation divided by the square root of the sample size (σ / √n). It measures how much the sample mean itself would vary from sample to sample, and it is the building block of the margin of error.

API — ló àwọn ìṣàmúlò-ètò yìí láti inú ìṣàmúlò-ètò

Fi àwọn ìṣàmúlò-ètò yìí kọ̀ǹpútà yìí láti jẹ́ ààyè-iṣẹ́ JSON tí a tí fi pamọ́ - kò ní bọ́tìnì kan tí a fẹ́. Fi àwọn fálù ààyè-iṣẹ́ sílẹ̀ sí bí àwọn àwọn ìṣàmúlò-ètò àti JSON. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Ka àwọn àkọlé API kíkún →

Àwọn Ààyè Ìjánu-ìṣàmúlò-ètò

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);

Results are estimates for general guidance only, not financial, medical or tax advice.

Àkóónú ìṣàmúlò-ètò yìí

Àwọn Àtòjọ-ẹ̀yàn

Àwọn Ìṣàmúlò-ètò Ìṣàmúlò-ètò

Àwọn Ààyè Ìjánu-ìṣàmúlò-ètò

curl

JavaScript fetch()

JavaScript `fetch()`