Tests for Equality of Mean Vectors and Simultaneous Confidence Intervals with Two-Step or Three-Step Monotone Missing Data Patterns

2015 ◽  
Vol 34 (3) ◽  
pp. 213-233 ◽  
Author(s):  
Ayaka Yagi ◽  
Takashi Seo
Keyword(s):  
Missing Data ◽  
Confidence Intervals ◽  
Simultaneous Confidence Intervals ◽  
Mean Vectors ◽  
Equality Of Mean Vectors

Testing Equality of Mean Vectors in Two Sample Problem with Missing Data

2010 ◽  
Vol 39 (3) ◽  
pp. 487-500 ◽  
Author(s):  
Nobumichi Shutoh ◽  
Makiko Kusumi ◽  
Wataru Morinaga ◽  
Shunichi Yamada ◽  
Takashi Seo
Keyword(s):  
Missing Data ◽  
Sample Problem ◽  
Two Sample Problem ◽  
Mean Vectors ◽  
Equality Of Mean Vectors

scholarly journals T^2 Type Test Statistic and Simultaneous Confidence Intervals for Two Sub-mean Vectors

2019 ◽  
Vol 9 (1) ◽  
pp. 1
Author(s):  
Tamae Kawasaki ◽  
Toshiki Naito ◽  
Takashi Seo
Keyword(s):  
Confidence Intervals ◽  
Degrees Of Freedom ◽  
Normal Approximation ◽  
The Other ◽  
Test Statistic ◽  
Simultaneous Confidence Intervals ◽  
Type Statistic ◽  
Type Test ◽  
F Distribution ◽  
Mean Vectors

In this paper, we consider tests for sub-mean vectors and its simultaneous confidence intervals in two-sample problems. We give the T^2 type test statistic and the simultaneous confidence intervals by using two approximate upper percentiles of T^2 type test statistic. One of the approximate percentiles is obtained by normal approximation for a part of the T^2 type statistic, and the other is an approximation obtained by correcting the degrees of freedom of the F distribution. Finally, we investigate the asymptotic behavior of the approximate upper percentiles of T^2 type statistic by Monte Carlo simulation, and we give an example to illustrate the simultaneous confidence intervals.

Sign in / Sign up

Export Citation Format

Share Document