Simultaneous confidence interval for assessing non‐inferiority with assay sensitivity in a three‐arm trial with binary endpoints

2020 ◽  
Vol 19 (5) ◽  
pp. 518-531
Author(s):  
Niansheng Tang ◽  
Bin Yu
2018 ◽  
Author(s):  
Mohammed R. Dahman

In this chapter we discus the multivariate central limit theorem. Then in thorough the Hotelling's T-square distribution. Armed with these information we explain the inferential of single population using the confidence region and the simultaneous confidence interval with two techniques the linear combination and the Bonferroni approach. At the end we discus the hypothesis teasing.


2020 ◽  
Vol 223 (1) ◽  
pp. 10-14 ◽  
Author(s):  
Sarah M Hicks ◽  
Kai Pohl ◽  
Teresa Neeman ◽  
Hayley A McNamara ◽  
Kate M Parsons ◽  
...  

Abstract Estimates of seroprevalence of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) antibodies have been hampered by inadequate assay sensitivity and specificity. Using an enzyme-linked immunosorbent assay–based approach that combines data about immunoglobulin G responses to both the nucleocapsid and spike receptor binding domain antigens, we show that excellent sensitivity and specificity can be achieved. We used this assay to assess the frequency of virus-specific antibodies in a cohort of elective surgery patients in Australia and estimated seroprevalence in Australia to be 0.28% (95% Confidence Interval, 0–1.15%). These data confirm the low level of transmission of SARS-CoV-2 in Australia before July 2020 and validate the specificity of our assay.


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