New Test Statistics for One and Two Mean Vectors with Two-step Monotone Missing Data

Mizuki Onozawa; Ayaka Yagi; Takashi Seo

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New Test Statistics for One and Two Mean Vectors with Two-step Monotone Missing Data

机译：具有两步单调缺失数据的一个和两个平均向量的新测试统计数据

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摘要

We consider the tests for a single mean vector and two mean vectors with two-step monotone missing data. In this paper, we propose new test statistics for one sample and two sample designs based on the simplified T^2-type test statistic. Further, we present the approximation to the upper percentiles of these statistics and propose the transformed test statistics. Finally, we investigate the accuracy and asymptotic behavior of the approximation for X^2 distribution by a Monte Carlo simulation.

机译：我们考虑单个平均矢量的测试和两个平均载体，两步单调缺失数据。在本文中，我们提出了一种基于简化的T ^ 2型测试统计的一个样本和两个样本设计的新测试统计数据。此外，我们向这些统计数据的上百分位呈现近似值，并提出转换的测试统计。最后，我们研究了Monte Carlo模拟的X ^ 2分布的近似的准确性和渐近行为。

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《International Journal of Statistics and Probability》 |2020年第6期|共20页
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Mizuki Onozawa; Ayaka Yagi; Takashi Seo;
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asymptotic expansionBartlett correctionapproximationHotelling T 2-type test statisticmonotone missing datatransformed test statistic;

机译：渐近扩展率折叠校正求解率T 2型试验统计调味料缺失数据转化测试统计;

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1. TESTS FOR EQUALITY OF MEAN VECTORS AND SIMULTANEOUS CONFIDENCE INTERVALS WITH TWO-STEP OR THREE-STEP MONOTONE MISSING DATA PATTERNS [J] . AYAKA YAGI, TAKASHI SEO American Journal of Mathematical and Management Sciences . 2015,第3期

机译：具有两步或三步单调缺失数据模式的均值向量的相等性测试和同时置信区间
2. TESTING EQUALITY OF TWO MEAN VECTORS WITH TWO-STEP MONOTONE MISSING DATA [J] . Noriko Seko, Tamae Kawasaki, Takashi Seo American Journal of Mathematical and Management Sciences . 2011,第1a2期

机译：使用两步单音缺失数据测试两个均值向量的均等性
3. Asymptotic power comparison of T~2-type test and likelihood ratio test for a mean vector based on two-step monotone missing data [J] . Hyodo Masashi, Shutoh Nobumichi Communications in Statistics . 2020,第16a18期

机译：基于两步单调缺失数据的平均载体的T〜2型试验和似然比测试的渐近功率比较
4. Missing Values in Monotone Data Sets [C] . Popova, V. . 2006

机译：单调数据集中的缺失值
5. Extension of the Regression Method for Imputation of Data with Monotone Missing Pattern using Multivariate Adaptive Regression Splines (MARS), with Applications to Systematic- Missing-At-Random (SMAR) Study Designs [D] . Lu, Feng. 2013

机译：利用多元自适应回归样条（MARS）扩展单调缺失模式数据插补的回归方法，并应用于系统随机缺失研究（SMAR）研究设计
6. A Flexible Bayesian Approach to Monotone Missing Data in Longitudinal Studies with Nonignorable Missingness with Application to an Acute Schizophrenia Clinical Trial [O] . Antonio R. Linero, Michael J. Daniels -1

机译：纵向研究中具有不可忽略性缺失的单项缺失数据的灵活贝叶斯方法在急性精神分裂症临床试验中的应用
7. Two-sample inference for normal mean vectors based on monotone missing data [O] . Yu Jianqi, Krishnamoorthy K., Pannala Maruthy K. 2006

机译：基于单调缺失数据的法向均值向量的两样本推断

New Test Statistics for One and Two Mean Vectors with Two-step Monotone Missing Data

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