confidence limit

简明释义

置信界限

英英释义

例句

1.The survey results showed a confidence limit 置信限 of ±5%, indicating a high degree of reliability.

调查结果显示，置信限 confidence limit 为±5%，表明可靠性很高。

2.In clinical trials, the confidence limit 置信限 is often set at 95% to ensure robust conclusions.

在临床试验中，置信限 confidence limit 通常设置为95%，以确保结论的可靠性。

3.Our analysis found that the confidence limit 置信限 for the mean difference was between 1.5 and 3.0.

我们的分析发现，均值差异的置信限 confidence limit 在1.5到3.0之间。

4.When conducting experiments, it's crucial to report the confidence limit 置信限 to understand the accuracy of your findings.

在进行实验时，报告置信限 confidence limit 是至关重要的，以理解发现的准确性。

5.The confidence limit 置信限 helps in determining the range within which we expect the true value to lie.

置信限 confidence limit 有助于确定我们期望真实值所在的范围。

作文

In the realm of statistics, the concept of confidence limit plays a crucial role in data analysis and interpretation. A confidence limit refers to the boundaries within which we can expect a certain percentage of values to fall, given a specific level of confidence. For example, if we say that the average height of adult men in a city is 175 cm with a confidence limit of ±5 cm, it means we are confident that the true average height lies between 170 cm and 180 cm. This statistical tool is essential for researchers and analysts as it provides a way to quantify uncertainty in their estimates.Understanding confidence limits involves grasping the concept of confidence intervals. A confidence interval is a range of values that is likely to contain the population parameter we are estimating. The width of this interval is influenced by the sample size and variability of the data. Larger sample sizes tend to produce narrower confidence limits, indicating a more precise estimate of the population parameter. Conversely, smaller samples may yield wider confidence limits, reflecting greater uncertainty.The application of confidence limits extends beyond mere academic interest; it has practical implications in various fields such as medicine, economics, and social sciences. For instance, in clinical trials, researchers often report the efficacy of a new drug alongside its confidence limits. This allows healthcare professionals to make informed decisions based on the range of expected outcomes. If a drug shows a significant improvement in patient recovery rates with a narrow confidence limit, it suggests that the effect is reliable and not due to random chance.Moreover, understanding how to interpret confidence limits is vital for effective communication of research findings. When presenting data, researchers must ensure that their audience grasps the implications of these limits. Misinterpretation can lead to overconfidence in results or unwarranted skepticism. Therefore, clear explanations and visual aids, such as graphs, can help convey the meaning of confidence limits effectively.In addition to their practical applications, confidence limits also raise philosophical questions about certainty and knowledge. In an increasingly data-driven world, the ability to quantify uncertainty is invaluable. However, it is essential to remember that confidence limits do not guarantee accuracy; they merely provide a range of plausible values based on the data at hand. Thus, while they enhance our understanding of variability, they also remind us of the inherent uncertainties in statistical inference.In conclusion, the concept of confidence limit is fundamental to statistical analysis, providing a framework for understanding the reliability of estimates. From guiding medical decisions to informing public policy, confidence limits serve as a bridge between data and actionable insights. As we navigate an era where data is abundant, mastering the interpretation of confidence limits will empower researchers and decision-makers alike to make informed choices based on the best available evidence.

在统计学领域，置信限的概念在数据分析和解释中起着至关重要的作用。置信限指的是我们可以期望特定百分比的值落入的边界，给定特定的置信水平。例如，如果我们说某城市成年男性的平均身高为175厘米，置信限为±5厘米，这意味着我们有信心真实的平均身高在170厘米到180厘米之间。这个统计工具对于研究人员和分析师至关重要，因为它提供了一种量化估计不确定性的方法。理解置信限涉及掌握置信区间的概念。置信区间是一系列可能包含我们正在估计的人口参数的值。这一区间的宽度受样本大小和数据变异性的影响。较大的样本通常会产生较窄的置信限，表明对人口参数的估计更为精确。相反，较小的样本可能会产生较宽的置信限，反映出更大的不确定性。置信限的应用超出了学术兴趣，它在医学、经济学和社会科学等多个领域具有实际意义。例如，在临床试验中，研究人员通常会报告新药的疗效以及其置信限。这使得医疗专业人员能根据预期结果的范围做出明智的决策。如果一种药物显示出显著改善患者恢复率，并伴随较窄的置信限，则表明该效果是可靠的，而不是随机机会造成的。此外，理解如何解释置信限对于有效传达研究结果至关重要。在呈现数据时，研究人员必须确保他们的受众理解这些限度的含义。误解可能导致对结果的过度自信或不必要的怀疑。因此，清晰的解释和视觉辅助工具（如图表）可以有效地传达置信限的含义。除了其实际应用外，置信限还引发了关于确定性和知识的哲学问题。在一个日益依赖数据的世界中，量化不确定性的能力是无价的。然而，重要的是要记住，置信限并不保证准确性；它们仅提供基于手头数据的合理值范围。因此，尽管它们增强了我们对变异性的理解，但也提醒我们统计推断中固有的不确定性。总之，置信限的概念是统计分析的基础，为理解估计的可靠性提供了框架。从指导医疗决策到告知公共政策，置信限作为数据与可操作见解之间的桥梁。在我们导航数据丰富的时代，掌握置信限的解释将使研究人员和决策者能够根据最佳可用证据做出明智的选择。