probable error

简明释义

概率误差

英英释义

例句

1.In statistics, understanding the probable error helps in estimating the reliability of the results.

在统计学中，理解可能误差有助于估计结果的可靠性。

2.When analyzing data, we must consider the probable error associated with each measurement.

在分析数据时，我们必须考虑与每个测量相关的可能误差。

3.The probable error indicates how much the observed value might deviate from the true value.

该可能误差指示观察值可能偏离真实值的程度。

4.The probable error of the survey results was within acceptable limits.

调查结果的可能误差在可接受范围内。

5.The scientist calculated the probable error to ensure the accuracy of his measurements.

科学家计算了可能误差以确保他的测量准确性。

作文

In the realm of statistics and data analysis, the concept of probable error plays a crucial role in understanding the reliability of measurements and predictions. The term probable error refers to the margin of error that is likely to occur when estimating a value based on sample data. This concept is particularly important in fields such as psychology, economics, and the natural sciences, where researchers often rely on samples to make inferences about larger populations.To illustrate the significance of probable error, let us consider a practical example. Imagine a researcher conducting a survey to determine the average height of adult men in a city. Due to constraints such as time and resources, the researcher may only be able to sample a small group of individuals rather than the entire population. After collecting the data, the researcher calculates the average height from the sample, but this average may not accurately reflect the true average height of all adult men in the city.Here is where probable error comes into play. By calculating the probable error, the researcher can provide a range within which the true average height is likely to fall. For instance, if the sample average is 175 cm with a probable error of 2 cm, it implies that the true average height of adult men in the city is likely between 173 cm and 177 cm. This information is invaluable as it allows for a more informed interpretation of the data and helps in understanding the uncertainty associated with the estimates.The calculation of probable error typically involves statistical formulas that take into account the variability of the sample data and the size of the sample. As the sample size increases, the probable error generally decreases, indicating that larger samples tend to provide more reliable estimates. This principle underscores the importance of sample size in research design; a well-designed study with an adequately large sample can yield results that are much closer to the true values.Moreover, the concept of probable error is not limited to just one type of measurement. It can be applied in various contexts, such as in the estimation of means, proportions, and even regression coefficients. By acknowledging the probable error, researchers can present their findings with greater transparency, allowing others to assess the validity of their conclusions.In conclusion, understanding the concept of probable error is essential for anyone involved in data analysis or research. It provides a framework for quantifying uncertainty and enhances the credibility of statistical findings. By incorporating probable error into their analyses, researchers can offer more robust insights and contribute to the advancement of knowledge across different fields. As we navigate an increasingly data-driven world, the ability to interpret and communicate uncertainty will be invaluable for making informed decisions based on statistical evidence.

在统计学和数据分析领域，probable error的概念在理解测量和预测的可靠性方面发挥着至关重要的作用。术语probable error指的是在基于样本数据估计值时可能发生的误差范围。这个概念在心理学、经济学和自然科学等领域尤为重要，因为研究人员通常依赖样本来推断更大的人群。为了说明probable error的重要性，让我们考虑一个实际的例子。假设一位研究人员进行调查，以确定某城市成年男性的平均身高。由于时间和资源的限制，研究人员可能只能对一小部分个体进行抽样，而不是整个群体。在收集数据后，研究人员计算出样本的平均身高，但这个平均数可能无法准确反映该城市所有成年男性的真实平均身高。这时，probable error就派上用场了。通过计算probable error，研究人员可以提供一个范围，表示真实的平均身高可能落在其中。例如，如果样本平均身高为175厘米，probable error为2厘米，这意味着该城市成年男性的真实平均身高可能在173厘米到177厘米之间。这些信息非常宝贵，因为它使得对数据的解释更加明智，并有助于理解与估计相关的不确定性。probable error的计算通常涉及统计公式，这些公式考虑了样本数据的变异性和样本的大小。随着样本数量的增加，probable error通常会减少，这表明较大的样本往往提供更可靠的估计。这一原则强调了样本大小在研究设计中的重要性；一个设计良好且样本足够大的研究可以产生更接近真实值的结果。此外，probable error的概念并不限于一种类型的测量。它可以应用于各种背景，例如均值、比例甚至回归系数的估计。通过承认probable error，研究人员可以以更大的透明度呈现他们的发现，使他人能够评估其结论的有效性。总之，理解probable error的概念对于任何参与数据分析或研究的人来说都是至关重要的。它提供了量化不确定性的框架，并增强了统计发现的可信度。通过将probable error纳入其分析中，研究人员可以提供更强有力的见解，并为不同领域知识的进步做出贡献。在我们进入一个日益数据驱动的世界时，能够解释和传达不确定性将对基于统计证据做出明智决策至关重要。