total variance

简明释义

总差异

英英释义

例句

1.In our study, we found that the total variance of customer satisfaction scores increased after implementing new features.

在我们的研究中，我们发现实施新功能后，客户满意度评分的总方差增加了。

2.To improve the model, we need to minimize the total variance across different datasets.

为了改善模型，我们需要最小化不同数据集之间的总方差。

3.The total variance in sales data indicates how much sales fluctuate over time.

销售数据中的总方差表明销售额随时间波动的程度。

4.The analyst calculated the total variance to assess the overall risk in the investment portfolio.

分析师计算了总方差以评估投资组合的整体风险。

5.By analyzing the total variance, we can identify which factors contribute most to the variability in our results.

通过分析总方差，我们可以识别哪些因素对我们结果的变异性贡献最大。

作文

In the field of statistics, understanding the concept of total variance is crucial for analyzing data sets effectively. 总方差 refers to the overall variability present in a dataset, which is calculated by taking into account all the individual variances of the data points from their mean. This measure helps researchers and analysts determine how spread out the data is, providing insights into its distribution and helping in making informed decisions based on that data.When we talk about total variance, we often need to consider it in relation to other statistical measures such as mean and standard deviation. The mean gives us the average value of a dataset, while the standard deviation indicates how much individual data points deviate from this mean. However, total variance encompasses all of these deviations, offering a more comprehensive view of the data's behavior.For example, imagine a dataset representing the test scores of students in a classroom. If the scores are tightly clustered around the mean, the total variance will be low, indicating that most students performed similarly. Conversely, if the scores are widely spread out, the total variance will be high, suggesting a significant difference in student performance. This information can be vital for educators who wish to tailor their teaching methods to better suit the needs of their students.One common application of total variance is in quality control processes in manufacturing. Companies often use statistical methods to monitor production quality. By calculating the total variance of product measurements, they can identify whether their processes are consistent or if there are variations that need to be addressed. A high total variance might indicate that there are issues in the production line, prompting managers to investigate further.Moreover, total variance plays a significant role in multivariate analysis, where multiple variables are analyzed simultaneously. In this context, understanding the total variance helps in determining how much of the variability in one variable can be explained by changes in another variable. For instance, in a study examining the relationship between hours studied and exam scores, researchers would calculate the total variance to understand how much variation in exam scores is attributable to the number of hours spent studying.In conclusion, the concept of total variance is fundamental in various fields, including education, manufacturing, and research. It provides a deeper understanding of data variability, enabling better decision-making and improved outcomes. By grasping the significance of total variance, individuals and organizations can enhance their analytical skills and apply them effectively to real-world situations. As we continue to collect and analyze data in an increasingly complex world, mastering concepts like total variance will be essential for success in any data-driven endeavor.

在统计学领域，理解总方差的概念对于有效分析数据集至关重要。总方差是指数据集中存在的整体变异性，它是通过考虑所有数据点与其均值的个体方差来计算的。这一度量帮助研究人员和分析师确定数据的分散程度，从而提供关于其分布的见解，并根据这些数据做出明智的决策。当我们谈论总方差时，通常需要将其与其他统计度量（如均值和标准差）联系起来。均值给出了数据集的平均值，而标准差则表示个别数据点与该均值之间的偏差程度。然而，总方差涵盖了所有这些偏差，提供了数据行为的更全面视图。例如，想象一个代表班级学生考试成绩的数据集。如果分数紧密聚集在均值周围，则总方差将较低，表明大多数学生的表现相似。相反，如果分数分散得很广，总方差将较高，这表明学生表现存在显著差异。这些信息对希望根据学生需求调整教学方法的教育工作者来说至关重要。总方差的一个常见应用是在制造业的质量控制过程中。公司通常使用统计方法来监控生产质量。通过计算产品测量的总方差，他们可以识别出工艺是否一致，或者是否存在需要解决的变异。高总方差可能表明生产线存在问题，促使管理者进一步调查。此外，总方差在多变量分析中也发挥着重要作用，在这种情况下，同时分析多个变量。在这种背景下，理解总方差有助于确定一个变量的变异性有多少可以通过另一个变量的变化来解释。例如，在研究学习时间与考试成绩之间关系的研究中，研究人员会计算总方差以了解考试成绩的变异性有多少归因于学习时间。总之，总方差的概念在教育、制造和研究等多个领域都是基础性的。它提供了数据变异性的更深刻理解，使得更好的决策和改进的结果成为可能。通过掌握总方差的重要性，个人和组织可以提升他们的分析技能，并有效地将其应用于现实世界的情况。随着我们在日益复杂的世界中继续收集和分析数据，掌握像总方差这样的概念将是任何数据驱动任务成功的关键。