置信區間計算機
精確輕鬆地計算樣本數據的置信區間。
置信區間計算機
關於此工具
Our confidence interval calculator helps you determine the range within which a population parameter (such as the mean or proportion) is likely to fall. Confidence intervals are a key concept in statistics, providing a measure of the uncertainty associated with your sample data.
輸入您的樣本統計數據並選擇所需的置信度來計算區間。
什麼是置信區間？
A confidence interval is a range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter. The confidence level (e.g., 95%) represents the proportion of intervals that would contain the true parameter if you were to take many samples.
例如，95% 置信區間意味著，如果我們要取 100 個不同的樣本併為每個樣本計算 95% 置信區間，那麼 100 個置信區間中大約有 95 個將包含真實總體參數。
使用的公式
均值的置信區間：
CI = x̄ ± (Z or t) * (σ/√n)
其中 x̄ 是樣本均值，Z 或 t 是臨界值，σ 是標準差，n 是樣本數量。
比例的置信區間：
CI = p̂ ± Z * √(p̂(1-p̂)/n)
其中 p̂ 是樣本比例，Z 是臨界值，n 是樣本量。