Exact interval estimation for the linear combination of binomial proportions.
Stat Methods Med Res
; 33(3): 465-479, 2024 Mar.
Article
em En
| MEDLINE
| ID: mdl-38348637
ABSTRACT
The weighted sum of binomial proportions and the interaction effect are two important cases of the linear combination of binomial proportions. Existing confidence intervals for these two parameters are approximate. We apply the h-function method to a given approximate interval and obtain an exact interval. The process is repeated multiple times until the final-improved interval (exact) cannot be shortened. In particular, for the weighted sum of two proportions, we derive two final-improved intervals based on the (approximate) adjusted score and fiducial intervals. After comparing several currently used intervals, we recommend these two final-improved intervals for practice. For the weighted sum of three proportions and the interaction effect, the final-improved interval based on the adjusted score interval should be used. Three real datasets are used to detail how the approximate intervals are improved.
Palavras-chave
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Modelos Estatísticos
Idioma:
En
Revista:
Stat Methods Med Res
Ano de publicação:
2024
Tipo de documento:
Article
País de publicação:
Reino Unido