Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Precision for binary measurement methods and results under beta-binomial
  distributions   To handle typical problems from fields dealing with biological responses,
this study develops a new statistical model and method for analysing the
precision of binary measurement methods and results from collaborative studies.
The model is based on beta-binomial distributions. In other words, we assume
that the sensitivity of each laboratory obeys a beta distribution and the
binary measurement results under a given sensitivity follow a binomial
distribution. We propose the key precision indicators of repeatability and
reproducibility for the model and derive their unbiased estimates. We further
propose a confidence interval for repeatability by applying the Jeffreys
interval, which utilizes the assumption of beta distributions for sensitivity.
Moreover, we propose a statistical test for determining laboratory effects,
using simultaneous confidence intervals based on the confidence interval of
each laboratory's sensitivity. Finally, we apply the proposed method to
real-world examples in the fields of food safety and chemical risk assessment
and management.

31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs