統計上顯著的
On 13 of 17 indicators there has been a statistically significant improvement.
17項指标中有13項取得了統計上顯著的進步。
No statistically significant deficit in weight for height was found.
在身高體重比上未發現非常重大的統計缺陷。
When a wife acts out that way, the danger ticks up as well, though only the equivalent of 3%, which is not statistically significant in this study.
當妻子這樣做的時候，離婚的危險也會上升，隻是3%，雖然這個數字在這項研究中統計的數據并不顯著。
Climate change refers to a statistically significant variation in either the mean state of the climate or in its variability, persisting for an extended period (typically decades or longer).
氣候變化引用于一個氣候平均态或者其變率的統計的顯著變化，并持續一段擴展時間（一般為數十年或更長）。
If I am wrong, and the relationship is highly statistically significant, then it might encourage Paul to take the bet.
如果我錯了，這種關系确實是高度統計相關，那麼這也許會鼓勵保羅接受這個賭注。
Although this association was not statistically significant, it was consistent in magnitude with the association of maternal GWG with offspring BMI and of offspring BMI with BP.
盡管這種關聯性在統計學上并不顯著，它在大小上與母親妊娠期體重增加和子女體重指數級子女體重指數與血壓的關聯一緻。
But the new research found no association that is consistent, strong and statistically significant for any particular foods raising or reducing breast cancer risk.
但是新研究發現“沒有一緻，權威的統計數據證明”一些特定的食物使得乳腺癌發病的幾率上升或下降。
Iowa and Minnesota also were at the top of the list. The gap between West Virginia and the two other states was not statistically significant.
愛荷華州和明尼蘇達州受訪者的知曉率也比較靠前，與西弗吉尼亞州的差距在統計學上并不明顯。
An evaluation of the curriculum found three statistically significant differences between students receiving the AANCHOR curriculum and students receiving the standard school curriculum.
對課程的評價發現，在接受AANCHOR課程的學生和接受學校标準課程的學生之間存在統計學上顯著的區别。
Nevertheless, Martin said it is notable that the stu***s were consistent; they each found “a measurable and statistically significant decrease in IQ, ” she said.
然而，馬丁說研究能持續是很值得注意的；“他們都做出對智商降低可測量及統計的重要發現，”她說。
This paper details how small, seemingly innocuous, and previously encouraged data-analysis decisions could allow for anything to be presented as statistically significant.
這篇論文詳細闡述了那些之前受鼓勵的微小且看似無害的數據分析是如何讓事物呈現出統計意義的。
In this performance test, I used a fixed cycle length of 1500, which is a large enough number to be statistically significant.
在這個性能測試中，我使用一個固定的周期長度1500，這個長度足夠大，能夠在統計數據上造成影響。
While he admits there are anecdotal stories about people finding jobs via these sites, he's doubtful they are statistically significant.
雖然他承認确實有關于人們通過網絡找到工作的奇聞轶事，但他質疑這樣的事例在統計數量上是否可觀。
The data only weakly supported these predictions: the differences were seen, but were not statistically significant.
但研究得出的數據無法支持上述預測：差異的确存在，隻是缺少統計顯著性。
In fact, none of these results are statistically significant, i.e., they’re just as likely to be caused by chance as by real differences in the treatments.
事實上，這些結果沒有一個在統計上是顯著的，也就是說它們由偶然導緻或由處理水平間真正差異導緻的可能性相等。
The book provides many examples of this kind, some a bit too anecdotal for my taste, but presumably they are on the whole backed by statistically significant data.
書中提供了很多這樣的例子，有一些在我看來有點道聽途說，但推測起來它們整體上是受有統計意義的數據支撐的。
There is no statistically significant increases in these, so probably all of these contribute in a small way.
但是這些方面均沒有統計學上顯著差異，所以可能他們均占很少的部分。
The authors find no statistically significant effect for girls who are Hispanic and no effect (significant or otherwise) for girls who are Black.
對于西班牙語女生作者沒有發現統計學上顯著意義，對于黑人女生也沒有意義。
For inflammatory lesions there was no statistically significant difference in efficacy between the study drug and clindamycin.
而對于炎性損傷，試驗藥物與克林黴素的效果沒有統計意義上的顯著差别。
Although early improvements were observed, withdrawing CNI and replacing it with SRL did not result in a statistically significant improvement in renal function at 12 months of follow-up.
雖然觀察到了早期的改善，但在12個月的隨訪中，停用CNI而替換為SRL未引起腎髒功能在統計學上的顯著改善。
The authors found that more than two or more servings of fish per week seemed to confer IQ benefits, but that boost in children's cognition wasn't statistically significant.
那些研究人員發現，每周吃魚兩次以上或更多次似乎有益于智商，但這給兒童認知能力帶來的提升在統計數據上并無顯著差異。
Given two or more sets of survey data, The Six Sigma Black Belt should be able to determine if there are statistically significant differences between them.
給出兩組或多組調查數據，六西格瑪黑帶應該能夠确定它們之間是否存在統計上的顯著性差異。
統計顯著性（Statistically Significant） 指在統計學假設檢驗中，觀察到的樣本數據差異或效應不太可能僅由隨機誤差（偶然性）導緻的可能性極低，從而有理由推斷該差異或效應在總體中也真實存在。其核心在于區分“真實效應”與“隨機波動”。以下是詳細解釋：
假設檢驗框架
統計顯著性建立在零假設（H₀，通常假設“無效應”）與備擇假設（H₁，假設“有效應”）的檢驗基礎上。通過計算p值（p-value）量化觀察結果在零假設成立時出現的概率。若p值低于預設的顯著性水平（α，通常為0.05或5%），則拒絕零假設，認為結果具有統計顯著性。
公式示例：
$$
text{若 } p leq alpha quad Rightarrow quad text{拒絕 } H_0
$$
實際意義
顯著結果僅表明效應“不太可能由隨機性導緻”，但不直接等同于實際重要性。例如，藥物試驗中微小的療效差異在大樣本下可能顯著，但臨床價值有限。
糾正：顯著性僅反映隨機性解釋的不可靠性，需結合研究設計、效應量及領域知識綜合評估。
糾正：p值是連續性證據，阈值（如0.05）僅為人為标準，應避免二元化解讀。
"Statistically significant"（統計學顯著性）是統計學中用于判斷研究結果是否超出隨機偶然性範圍的核心概念。其含義和要點如下：
指在假設檢驗中，觀察到的數據差異或效應不太可能純屬偶然發生（即由隨機誤差引起）。這種判斷通常基于預設的顯著性水平（如 α=0.05）。
p值比較
顯著性水平（α）
≠ 實際重要性
統計顯著性僅說明效應非隨機，但效應大小（如差異程度）需單獨評估。例如，大樣本可能讓微小差異變得顯著，但實際意義有限。
依賴樣本量
樣本量越大，越容易檢測到顯著性（即使效應很小）。因此需結合置信區間或效應量指标（如Cohen's d）綜合分析。
領域差異
不同學科可能采用不同α值（如物理學常用更嚴格的α=0.0001）。
假設測試新藥效果：
如需進一步學習，建議參考統計學教材或可信的線上資源（如Khan Academy、StatQuest）。
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