random error
简明释义
随机误差
英英释义
A random error is a statistical fluctuation in measured data that arises from unpredictable variations in the measurement process. | 随机误差是测量数据中的统计波动,源于测量过程中不可预测的变化。 |
例句
1.Calibration of instruments helps reduce random error in measurements.
仪器的校准有助于减少测量中的随机误差。
2.The measurements taken during the experiment were affected by random error, which introduced some variability in the results.
实验中进行的测量受到随机误差的影响,这导致结果出现了一些变异。
3.In statistical analysis, random error can obscure the true relationship between variables.
在统计分析中,随机误差可能会掩盖变量之间的真实关系。
4.The random error in the survey results made it difficult to draw definitive conclusions.
调查结果中的随机误差使得得出明确结论变得困难。
5.To minimize random error, researchers repeated the experiment multiple times.
为了最小化随机误差,研究人员多次重复实验。
作文
In the field of science and statistics, understanding the concept of random error is crucial for interpreting data accurately. A random error, also known as a statistical error, refers to the unpredictable fluctuations that occur in measurements due to various factors that cannot be controlled. These errors are inherent in any measurement process and can arise from numerous sources, including environmental conditions, instrument limitations, and even human factors. Unlike systematic errors, which are consistent and repeatable, random errors vary in magnitude and direction, making them more challenging to identify and quantify.For instance, consider a scenario where a scientist is measuring the temperature of a liquid using a thermometer. Each time the measurement is taken, slight variations may occur due to factors such as the position of the thermometer, air currents in the room, or even the way the thermometer is read. These variations represent random errors that can affect the accuracy of the temperature readings. While these errors may not be completely eliminated, they can be minimized by taking multiple measurements and calculating an average value, which helps to smooth out the effects of the random errors.The impact of random errors is significant in research and experimental design. When conducting experiments, researchers must account for random errors to ensure that their results are reliable. This often involves using statistical methods to analyze the data and determine the degree of uncertainty associated with the measurements. By understanding the nature of random errors, researchers can make informed decisions about the validity of their findings and the conclusions they draw from their data.Moreover, the presence of random errors emphasizes the importance of replication in scientific research. Repeating experiments under the same conditions allows researchers to identify patterns and trends while mitigating the influence of random errors. This practice not only enhances the reliability of the results but also increases confidence in the conclusions drawn from the data.In summary, random error plays a vital role in the accuracy and reliability of scientific measurements. It is essential for researchers and statisticians to recognize the existence of random errors and implement strategies to manage their impact. By doing so, they can improve the quality of their research and contribute valuable insights to their respective fields. Ultimately, a thorough understanding of random errors equips scientists with the tools necessary to navigate the complexities of data analysis and interpretation effectively.
在科学和统计学领域,理解随机误差的概念对于准确解读数据至关重要。随机误差,也称为统计误差,是指由于各种无法控制的因素而导致的测量中出现的不可预测波动。这些误差是任何测量过程固有的,可能来自许多来源,包括环境条件、仪器限制,甚至是人为因素。与系统误差不同,系统误差是一致且可重复的,而随机误差在大小和方向上变化,使其更难以识别和量化。例如,考虑一个科学家使用温度计测量液体温度的场景。每次进行测量时,由于温度计的位置、房间中的气流,甚至是读取温度计的方式等因素,可能会发生轻微的变化。这些变化代表了影响温度读数准确性的随机误差。虽然这些误差可能无法完全消除,但通过多次测量并计算平均值,可以将其最小化,从而帮助平滑随机误差的影响。随机误差的影响在研究和实验设计中非常重要。在进行实验时,研究人员必须考虑随机误差以确保结果的可靠性。这通常涉及使用统计方法来分析数据,并确定与测量相关的不确定性程度。通过理解随机误差的性质,研究人员可以对其发现的有效性及从数据中得出的结论做出明智的决策。此外,随机误差的存在强调了科学研究中复制的重要性。在相同条件下重复实验使研究人员能够识别模式和趋势,同时减轻随机误差的影响。这种做法不仅增强了结果的可靠性,还增加了对从数据中得出的结论的信心。总之,随机误差在科学测量的准确性和可靠性中发挥着至关重要的作用。研究人员和统计学家必须认识到随机误差的存在,并实施管理其影响的策略。通过这样做,他们可以提高研究的质量,并为各自领域贡献有价值的见解。最终,对随机误差的透彻理解为科学家提供了有效应对数据分析和解释复杂性的工具。