confidence limit

简明释义

置信界限

英英释义

例句

1.The study found that the average height of the participants was 170 cm, with a 95% confidence limit 置信区间 of ±5 cm.

研究发现参与者的平均身高为170厘米，95%的置信区间 置信区间为±5厘米。

2.When conducting surveys, it's important to report the confidence limit 置信区间 to give context to your findings.

进行调查时，报告置信区间 置信区间以提供研究结果的背景是很重要的。

3.A wide confidence limit 置信区间 suggests more variability in the data.

较宽的置信区间 置信区间表明数据中存在更大的变异性。

4.The confidence limit 置信区间 for the mean score indicates a high level of reliability in the data collected.

平均分数的置信区间 置信区间表明所收集数据的可靠性很高。

5.Researchers calculated the confidence limit 置信区间 for the drug's effectiveness based on clinical trials.

研究人员根据临床试验计算了该药物有效性的置信区间 置信区间。

作文

In the field of statistics, understanding the concept of confidence limit is crucial for interpreting data accurately. A confidence limit refers to the range within which we can expect a certain percentage of values to fall, based on our sample data. This concept is essential in various fields, including medicine, social sciences, and market research, where making informed decisions based on data is paramount.To illustrate this, let's consider a hypothetical study conducted to determine the average height of adult men in a specific city. Researchers collect height measurements from a random sample of 1,000 men and find that the average height is 175 cm, with a standard deviation of 10 cm. Using statistical methods, they can calculate a confidence limit for this average height. For example, they may find that they are 95% confident that the true average height of all adult men in the city falls between 174 cm and 176 cm. This range is known as the confidence limit.The importance of confidence limits cannot be overstated. They provide a measure of uncertainty associated with sample estimates. Without this information, one could easily misinterpret the data, leading to incorrect conclusions. For instance, if policymakers were to use the average height without considering the confidence limit, they might assume that every man in the city is approximately 175 cm tall, which is not necessarily true. The confidence limit gives a more accurate picture by indicating the range where the true average likely lies.Moreover, confidence limits also play a significant role in hypothesis testing. When researchers conduct experiments or studies, they often formulate a null hypothesis and an alternative hypothesis. The confidence limit helps determine whether to accept or reject the null hypothesis. If the confidence interval does not include the value specified in the null hypothesis, researchers may reject it, thus supporting their alternative hypothesis.In addition to their application in research, confidence limits are also widely used in quality control processes in manufacturing. Companies often set confidence limits for product specifications to ensure that their products meet safety and quality standards. By regularly monitoring production processes and calculating confidence limits, companies can identify potential issues before they escalate, ensuring customer satisfaction and compliance with regulations.In conclusion, the concept of confidence limit is vital in statistics and data analysis. It provides a framework for understanding the variability and uncertainty inherent in sample data. By incorporating confidence limits into their analyses, researchers, policymakers, and businesses can make more informed decisions, ultimately leading to better outcomes. As we continue to rely on data in our increasingly complex world, mastering the concept of confidence limits will be essential for anyone involved in research or decision-making processes. Understanding this concept not only enhances our analytical skills but also empowers us to navigate the uncertainties of life with greater confidence.

在统计学领域，理解置信限的概念对于准确解读数据至关重要。置信限是指我们可以期待某一特定百分比的值在基于样本数据的范围内。这个概念在医学、社会科学和市场研究等多个领域中都是必不可少的，因为在这些领域中，基于数据做出明智的决策是极其重要的。为了说明这一点，假设有一项研究旨在确定某个城市成年男性的平均身高。研究人员从1,000名男性中随机收集身高测量数据，发现平均身高为175厘米，标准差为10厘米。通过统计方法，他们可以计算出这个平均身高的置信限。例如，他们可能发现，95%的信心水平下，所有成年男性的真实平均身高在174厘米到176厘米之间。这一范围被称为置信限。置信限的重要性不容小觑。它们提供了与样本估计相关的不确定性度量。如果没有这些信息，人们很容易误解数据，从而得出错误的结论。例如，如果政策制定者使用平均身高而不考虑置信限，他们可能会认为城市中每位男性的身高大约是175厘米，这并不一定真实。置信限通过指示真实平均值可能所在的范围，提供了更准确的图景。此外，置信限在假设检验中也发挥着重要作用。当研究人员进行实验或研究时，他们通常会提出一个原假设和一个替代假设。置信限帮助确定是否接受或拒绝原假设。如果置信区间不包括原假设中指定的值，研究人员可能会拒绝原假设，从而支持他们的替代假设。除了在研究中的应用，置信限在制造业的质量控制过程中也被广泛使用。公司通常为产品规格设定置信限，以确保其产品符合安全和质量标准。通过定期监测生产过程并计算置信限，公司能够在问题升级之前识别潜在问题，从而确保客户满意和遵守法规。总之，置信限的概念在统计学和数据分析中至关重要。它为理解样本数据固有的变异性和不确定性提供了框架。通过将置信限纳入分析中，研究人员、政策制定者和企业能够做出更明智的决策，最终带来更好的结果。随着我们在日益复杂的世界中越来越依赖数据，掌握置信限的概念对任何参与研究或决策过程的人来说都将是必不可少的。理解这一概念不仅增强了我们的分析能力，还使我们能够以更大的信心应对生活中的不确定性。