确定一个单面z测试的功率,只给出相应的双面测试的功率
Amy Liang1, Kristopher J Preacher2, Nathaniel J Williams3,4
1Department of Psychology and Human Development, Vanderbilt University, 230 Appleton Place, Nashville, TN, 37203‑5721, USA.
Journal of behavioral medicine
|September 9, 2025
概括
研究人员现在可以在复杂的行为医学模型中轻松估计单面z测试的统计能力. 双面测试中的新转换公式简化了功率计算,节省了时间和资源.
科学领域:
- 行为医学是一种行为医学.
- 统计建模 统计建模
- 心理测量 心理测量 心理测量
背景情况:
- 准确的统计能力估计对于高效的行为医学研究设计和资源管理至关重要.
- 研究人员经常需要计算复杂的统计模型中的参数的一面z测试的功率,例如多层结构方程模型.
- 在这些模型中计算单面z测试功率的现有方法是繁的,通常不受标准软件或表格的支持.
研究的目的:
- 引入简单且资源高效的转换公式来估计单面z测试的统计能力.
- 为行为医学研究人员提供一个实用的解决方案,他们面临着计算复杂模型单面z-test功率的挑战.
- 为了方便精确的功率计算,从而最大限度地减少资源支出.
主要方法:
- 开发简单的转换公式,从双面试验功率估计单面z试验功率.
- 这些公式在可访问的软件,特别是R和Excel中实现.
- 专注于复杂的统计模型中的单个参数 (例如斜率) 的应用.
主要成果:
- 拟议的转换公式为计算单面z-test功率提供了直接和有效的方法.
- 在R和Excel中的实现为行为医学研究人员提供了可访问的工具.
- 该方法有效地解决了复杂模型现有功率计算方法的局限性.
结论:
- 开发的转换公式和软件实现为行为医学中单边z-test功率估计提供了方便和实用的解决方案.
- 这种方法显著减少了功率分析所需的时间,财务和计算资源.
- 提高了行为医学研究中的研究设计的效率和严格性.
相关概念视频
01:10Introduction to the Sign Test
1.3K
The sign test is an important tool in nonparametric statistics, offering a straightforward yet effective method for analyzing matched pairs, nominal data, or hypotheses concerning the median of a population. It transforms data points into positive or negative signs, avoiding the need for assumptions about data distribution and instead focusing on the direction of change. It is particularly valuable when data does not conform to the normal distribution requirements of many parametric tests. For...
1.3K
01:09Wilcoxon Signed-Ranks Test for Matched Pairs
432
The Wilcoxon signed-rank test for matched pairs evaluates the null hypothesis by combining the ranks of differences with their signs. It essentially tests whether the median of the differences in a population of matched pairs is zero. Since the test incorporates more information than the sign test, it generally yields more trustable conclusions. This test also does not require the data to follow a normal distribution, but two conditions must be met for it to be applicable: (1) the data must...
432
01:12Sign Test for Nominal Data
347
The sign test is a nonparametric method used to evaluate hypotheses about the median of a single sample or to compare the medians of two related samples. The sign test is particularly useful when dealing with nominal data, which includes distinct categories without an inherent order, such as names, labels, and preferences. Nominal data restricts statistical analysis to evaluating population proportions rather than mean or median values that require continuous data.
For example, consider a...
For example, consider a...
347
01:17Wald-Wolfowitz Runs Test II
504
The Wald-Wolfowitz runs test, commonly referred to as the runs test, is a nonparametric test used to assess the randomness of ordered data. The test evaluates the number of runs, which are consecutive sequences of similar elements within the data. If the number of runs is significantly higher or lower than expected, the data is considered non-random, indicating a detectable pattern or structure.
For binary data, runs are identified using symbols such as + and −, or equivalently, 1s and 0s. In...
For binary data, runs are identified using symbols such as + and −, or equivalently, 1s and 0s. In...
504
01:20Sign Test for Median of Single Population
323
In general, the sign test serves as a nonparametric method to test hypotheses about the median of a single population when the data does not follow a known distribution. This simplicity makes it particularly useful for small sample sizes or when the assumptions of parametric tests cannot be met. The process begins with identifying a null hypothesis, typically stating that the population median equals a specific value. The alternative hypothesis could be that the median is either not equal to,...
323
01:14Decision Making: Traditional Method
5.0K
The process of hypothesis testing based on the traditional method includes calculating the critical value, testing the value of the test statistic using the sample data, and interpreting these values.
First, a specific claim about the population parameter is decided based on the research question and is stated in a simple form. Further, an opposing statement to this claim is also stated. These statements can act as null and alternative hypotheses, out of which a null hypothesis would be a...
First, a specific claim about the population parameter is decided based on the research question and is stated in a simple form. Further, an opposing statement to this claim is also stated. These statements can act as null and alternative hypotheses, out of which a null hypothesis would be a...
5.0K