margin of error

简明释义

误差界限

英英释义

例句

1.In manufacturing, a margin of error of 0.1 mm is acceptable for precision parts.

在制造业中，精密部件的可接受误差范围为0.1毫米。

2.The margin of error in the financial forecast could affect investment decisions significantly.

财务预测中的误差范围可能会显著影响投资决策。

3.The polling agency reported a margin of error of 3%, which is typical for their studies.

民意调查机构报告的误差范围为3%，这在他们的研究中是典型的。

4.When conducting experiments, scientists always account for a margin of error in their measurements.

在进行实验时，科学家总是会考虑到测量中的误差范围。

5.The survey results indicate a 5% margin of error, meaning the actual percentage could be 5% higher or lower.

调查结果显示有5%的误差范围，这意味着实际比例可能高或低5%。

作文

In the field of statistics, the term margin of error refers to the range within which the true value of a population parameter is expected to lie, based on the results obtained from a sample. Understanding the margin of error is crucial for interpreting survey results and making informed decisions based on data. When conducting surveys or polls, researchers often report the margin of error alongside their findings to indicate the level of uncertainty associated with their estimates.For instance, if a political poll indicates that Candidate A has 55% support with a margin of error of ±3%, this means that the actual support for Candidate A could be as low as 52% or as high as 58%. This information is vital for both voters and analysts, as it highlights the potential variability in the data collected. A smaller margin of error suggests a more precise estimate, while a larger margin of error indicates greater uncertainty.The margin of error is influenced by several factors, including the size of the sample and the confidence level chosen by the researchers. Generally, larger samples yield smaller margins of error, leading to more reliable results. Conversely, smaller samples tend to produce larger margins of error, which can obscure the true picture of public opinion or other phenomena being studied.Moreover, the margin of error is not the only measure of uncertainty in statistical analysis. Researchers also consider confidence intervals, which provide a range of values that likely contain the true population parameter. While the margin of error offers a straightforward way to communicate uncertainty, confidence intervals can provide more detailed insights into the reliability of the estimates.It is important to note that the margin of error only accounts for random sampling error. It does not consider other sources of error, such as measurement errors, non-response bias, or coverage errors. Therefore, even a small margin of error does not guarantee that the results are accurate; it simply reflects the uncertainty inherent in the sampling process.In conclusion, the concept of margin of error is fundamental in the realm of statistics and data analysis. It serves as a critical tool for understanding the reliability of survey results and making informed decisions based on those results. By grasping the implications of the margin of error, individuals can better interpret data and recognize the limitations of statistical findings. As we navigate an increasingly data-driven world, having a clear understanding of the margin of error will empower us to engage more thoughtfully with the information presented to us, whether in politics, marketing, or scientific research.

在统计学领域，术语误差范围指的是基于从样本获得的结果，预期总体参数的真实值所处的范围。理解误差范围对于解读调查结果和根据数据做出明智决策至关重要。当进行调查或民意调查时，研究人员通常会在其发现中报告误差范围，以指示与其估计相关的不确定性水平。例如，如果一项政治民意调查显示候选人A的支持率为55%，且误差范围为±3%，这意味着候选人A的实际支持率可能低至52%或高达58%。这一信息对于选民和分析师来说至关重要，因为它突显了收集的数据潜在的变异性。较小的误差范围表示更精确的估计，而较大的误差范围则表明更大的不确定性。误差范围受到多个因素的影响，包括样本的大小和研究人员选择的置信水平。通常，较大的样本会产生较小的误差范围，从而导致更可靠的结果。相反，较小的样本往往会产生较大的误差范围，这可能会模糊公众舆论或其他正在研究的现象的真实图景。此外，误差范围并不是统计分析中唯一的不确定性度量。研究人员还考虑置信区间，它提供了一个可能包含真实总体参数的值范围。虽然误差范围提供了一种直接的方式来传达不确定性，但置信区间可以提供对估计可靠性的更详细见解。需要注意的是，误差范围仅考虑随机抽样误差。它不考虑其他来源的误差，例如测量误差、非响应偏差或覆盖误差。因此，即使误差范围很小，也不能保证结果的准确性；它只是反映了抽样过程中的不确定性。总之，误差范围的概念在统计学和数据分析领域是基础的。它作为理解调查结果可靠性的关键工具，并根据这些结果做出明智决策。通过掌握误差范围的含义，个人可以更好地解读数据并认识统计发现的局限性。在我们日益以数据驱动的世界中，清楚理解误差范围将使我们能够更有思想地参与到呈现给我们的信息中，无论是在政治、市场营销还是科学研究中。