critical region

简明释义

判域［统计］

英英释义

例句

1.The critical region 临界区域 for this experiment was determined through extensive simulations.

这个实验的critical region 临界区域是通过广泛的模拟确定的。

2.The researchers identified a critical region 临界区域 in the genome that is responsible for the disease.

研究人员确定了基因组中的一个critical region 临界区域，该区域与疾病有关。

3.In statistical hypothesis testing, the area under the curve that leads to the rejection of the null hypothesis is called the critical region 临界区域.

在统计假设检验中，导致拒绝原假设的曲线下的区域称为critical region 临界区域。

4.Monitoring the critical region 临界区域 of the river is essential for environmental protection.

监测河流的critical region 临界区域对环境保护至关重要。

5.In the context of climate change, the critical region 临界区域 for biodiversity loss is a major concern.

在气候变化的背景下，生物多样性丧失的critical region 临界区域是一个主要关注点。

作文

In the field of statistics, the concept of a critical region (临界区域) plays a crucial role in hypothesis testing. When researchers conduct an experiment or study, they often start with a null hypothesis, which is a statement that there is no effect or no difference. The goal is to determine whether there is enough evidence to reject this null hypothesis in favor of an alternative hypothesis. This is where the critical region (临界区域) comes into play. The critical region (临界区域) is defined as a set of values for the test statistic that leads to the rejection of the null hypothesis. Essentially, it represents the extreme outcomes that are unlikely to occur if the null hypothesis is true. To establish this region, researchers typically set a significance level, often denoted as alpha (α), which is the probability of making a Type I error—rejecting the null hypothesis when it is actually true. For instance, if α is set at 0.05, the critical region (临界区域) will consist of the most extreme 5% of values in the distribution of the test statistic.To visualize this, imagine conducting a study on the effectiveness of a new drug compared to a placebo. After collecting data and calculating the test statistic, you would compare this statistic against the critical values that define the critical region (临界区域). If your test statistic falls within this region, you can confidently reject the null hypothesis, suggesting that the drug has a significant effect. Conversely, if the statistic lies outside the critical region (临界区域), you fail to reject the null hypothesis, indicating insufficient evidence to support the claim that the drug is effective.Understanding the implications of the critical region (临界区域) is vital for researchers. It not only helps them make informed decisions based on their data but also ensures that they maintain the integrity of their findings. Failing to correctly identify the critical region (临界区域) can lead to erroneous conclusions, which may have significant consequences in fields such as medicine, psychology, and social sciences.Moreover, the critical region (临界区域) is not static; it can change depending on the sample size and the chosen significance level. As the sample size increases, the distribution of the test statistic becomes more precise, which can affect the boundaries of the critical region (临界区域). Therefore, researchers must be diligent in recalibrating their analyses as new data is collected.In conclusion, the critical region (临界区域) is an essential element in the process of hypothesis testing. It serves as a threshold for determining whether the evidence gathered from a study is strong enough to reject the null hypothesis. By understanding and accurately defining the critical region (临界区域), researchers can enhance the reliability of their results and contribute valuable insights to their respective fields. Ultimately, the careful application of this concept can lead to advancements in knowledge and better decision-making in various domains.

在统计学领域，critical region（临界区域）的概念在假设检验中发挥着至关重要的作用。当研究人员进行实验或研究时，他们通常会从一个零假设开始，即没有效应或没有差异的陈述。目标是确定是否有足够的证据来拒绝这个零假设，以支持替代假设。这就是critical region（临界区域）发挥作用的地方。critical region（临界区域）被定义为测试统计量的一组值，这些值导致拒绝零假设。它本质上代表了在零假设为真的情况下不太可能发生的极端结果。为了建立这个区域，研究人员通常设定一个显著性水平，通常用α表示，这是犯第一类错误的概率——在零假设实际上为真时拒绝它。例如，如果α设定为0.05，则critical region（临界区域）将包含测试统计量分布中最极端的5%值。为了可视化这一点，想象一下进行一项关于新药相对于安慰剂效果的研究。在收集数据并计算测试统计量后，您将把该统计量与定义critical region（临界区域）的临界值进行比较。如果您的测试统计量落在该区域内，您可以自信地拒绝零假设，表明该药物具有显著效果。相反，如果统计量位于critical region（临界区域）之外，您则未能拒绝零假设，表明没有足够的证据支持该药物有效的说法。理解critical region（临界区域）的含义对研究人员至关重要。它不仅帮助他们根据数据做出明智的决策，还确保他们的发现保持完整性。未能正确识别critical region（临界区域）可能导致错误的结论，这在医学、心理学和社会科学等领域可能会产生重大影响。此外，critical region（临界区域）并不是静态的；它可能会根据样本大小和选择的显著性水平而变化。随着样本大小的增加，测试统计量的分布变得更加精确，这可能会影响critical region（临界区域）的边界。因此，研究人员必须在收集新数据时仔细重新校准他们的分析。总之，critical region（临界区域）是假设检验过程中的一个基本要素。它作为一个阈值，用于确定从研究中收集的证据是否足够强大以拒绝零假设。通过理解和准确定义critical region（临界区域），研究人员可以提高其结果的可靠性，并为各自领域提供有价值的见解。最终，这一概念的谨慎应用可以促进知识的进步，并在各个领域做出更好的决策。