probable error

简明释义

概率误差

英英释义

例句

1.The probable error in this experiment was calculated to be within acceptable limits.

这次实验中的可能误差被计算在可接受的范围内。

2.The report included a section on the probable error associated with the survey results.

报告中包括了一部分关于调查结果的可能误差。

3.In statistical analysis, understanding the probable error helps in assessing the reliability of the data.

在统计分析中，理解可能误差有助于评估数据的可靠性。

4.The scientist calculated the probable error of his measurements to ensure accuracy in his results.

科学家计算了他的测量的可能误差以确保结果的准确性。

5.To improve the accuracy of predictions, the team worked on minimizing the probable error in their models.

为了提高预测的准确性，团队致力于减少模型中的可能误差。

作文

In the realm of statistics and data analysis, the term probable error refers to a measure of the uncertainty associated with a statistical estimate. It is an important concept that helps researchers and analysts understand how much variability they can expect in their results due to random sampling or measurement errors. To illustrate this idea, let's consider a practical example. Imagine a researcher conducting a survey to determine the average height of adult males in a particular city. After collecting data from a sample of 100 individuals, the researcher calculates the average height to be 175 cm. However, this value is not definitive; it is based on a limited sample size and is subject to variations. The probable error in this case would provide insight into how much the average height might differ if the researcher were to conduct the survey multiple times with different samples. By calculating the probable error, the researcher can express their confidence in the results. If the probable error is small, it indicates that the sample mean is a reliable estimate of the true population mean. Conversely, a large probable error suggests that there is significant uncertainty, and the average height could vary widely depending on the sample chosen. Understanding probable error is crucial for making informed decisions based on statistical data. For instance, policymakers often rely on survey data to make decisions that affect public health, education, and economic policies. If they do not take probable error into account, they may draw conclusions that are misleading or inaccurate. Moreover, the concept of probable error extends beyond just average measurements. It can also apply to various statistical analyses, including regression models, hypothesis testing, and quality control processes. In each of these contexts, recognizing the probable error allows analysts to assess the reliability of their findings and make adjustments as necessary. Additionally, it is essential to communicate the probable error effectively to stakeholders. When presenting research findings, it is not enough to simply state the average or the outcome of a statistical test. Researchers should also include measures of uncertainty, such as the probable error, to provide a complete picture of their results. This transparency helps build trust in the research process and ensures that decisions are based on sound evidence. In conclusion, the term probable error plays a vital role in statistics by quantifying the uncertainty inherent in statistical estimates. By understanding and applying this concept, researchers can enhance the reliability of their analyses and contribute to more informed decision-making processes. As we continue to navigate an increasingly data-driven world, grasping the implications of probable error will be essential for anyone involved in research, policy-making, or data interpretation.

在统计和数据分析领域，术语probable error指的是与统计估计相关的不确定性度量。这是一个重要的概念，帮助研究人员和分析师理解由于随机抽样或测量误差，他们的结果可能会有多少变异性。为了说明这个概念，让我们考虑一个实际的例子。想象一下，一个研究人员正在进行一项调查，以确定特定城市成年男性的平均身高。在对100名个体收集数据后，研究人员计算出平均身高为175厘米。然而，这个值并不是确定的；它是基于有限的样本大小，且受到变化的影响。在这种情况下，probable error将提供有关如果研究人员多次使用不同样本进行调查，平均身高可能会有所不同的见解。通过计算probable error，研究人员可以表达他们对结果的信心。如果probable error很小，这表明样本均值是对真实总体均值的可靠估计。相反，较大的probable error则表明存在显著的不确定性，平均身高可能会因所选样本而大幅波动。理解probable error对于基于统计数据做出明智决策至关重要。例如，政策制定者通常依赖调查数据来做出影响公共卫生、教育和经济政策的决策。如果他们不考虑probable error，可能会得出误导性或不准确的结论。此外，probable error的概念不仅适用于平均测量。它还可以应用于各种统计分析，包括回归模型、假设检验和质量控制过程。在每一种情况下，识别probable error使分析师能够评估其发现的可靠性，并在必要时进行调整。此外，有效地向利益相关者传达probable error也至关重要。在呈现研究结果时，仅仅陈述平均值或统计检验的结果是不够的。研究人员还应包括不确定性度量，例如probable error，以提供结果的完整图景。这种透明度有助于建立对研究过程的信任，并确保决策基于可靠的证据。总之，术语probable error在统计学中发挥着至关重要的作用，通过量化统计估计中固有的不确定性。通过理解和应用这一概念，研究人员可以增强其分析的可靠性，并为更明智的决策过程做出贡献。随着我们继续在日益数据驱动的世界中航行，掌握probable error的含义对于任何参与研究、政策制定或数据解释的人来说都将是必不可少的。