The Fiducial Method and Invariance

Biometrika ◽  
1961 ◽  
Vol 48 (3/4) ◽  
pp. 261 ◽  
Author(s):  
D. A. S. Fraser
Keyword(s):  
Fiducial Method

Application of fiducial method for streamflow prediction under small sample cases in Xiangxihe watershed, China

2020 ◽  
Vol 586 ◽  
pp. 124866 ◽  
Author(s):  
J.L. Zhang ◽  
X. Wang ◽  
W.N. Sun ◽  
Y.P. Li ◽  
Z.R. Liu ◽  
...  
Keyword(s):  
Small Sample ◽  
Streamflow Prediction ◽  
Fiducial Method

The fiducial method and invariance

Biometrika ◽  
1961 ◽  
Vol 48 (3-4) ◽  
pp. 261-280 ◽  
Author(s):  
D. A. S. FRASER
Keyword(s):  
Fiducial Method

scholarly journals A line fiducial method for geometric calibration of cone-beam CT systems with diverse scan trajectories

2018 ◽  
Vol 63 (2) ◽  
pp. 025030 ◽  
Author(s):  
M W Jacobson ◽  
M D Ketcha ◽  
S Capostagno ◽  
A Martin ◽  
A Uneri ◽  
...  
Keyword(s):  
Cone Beam Ct ◽  
Cone Beam ◽  
Geometric Calibration ◽  
Fiducial Method

scholarly journals Confidence Intervals for Assessing Non-Inferiority with Assay Sensitivity in a Three-Arm Trial with Normally Distributed Endpoints

Mathematics ◽  
2022 ◽  
Vol 10 (2) ◽  
pp. 167
Author(s):  
Niansheng Tang ◽  
Fan Liang
Keyword(s):  
Hypothesis Test ◽  
Parametric Bootstrap ◽  
Simulation Studies ◽  
Assay Sensitivity ◽  
Coverage Probabilities ◽  
Empirical Coverage ◽  
Fiducial Method ◽  
Work Done ◽  
Better Than ◽  
Normally Distributed

Various approaches including hypothesis test and confidence interval (CI) construction have been proposed to assess non-inferiority and assay sensitivity via a known fraction or pre-specified margin in three-arm trials with continuous or discrete endpoints. However, there is little work done on the construction of the non-inferiority margin from historical data and simultaneous generalized CIs (SGCIs) in a three-arm trial with the normally distributed endpoints. Based on the generalized fiducial method and the square-and-add method, we propose two simultaneous CIs for assessing non-inferiority and assay sensitivity in a three-arm trial. For comparison, we also consider the Wald-type Bonferroni simultaneous CI and parametric bootstrap simultaneous CI. An algorithm for evaluating the optimal sample size for attaining the pre-specified power is given. Simulation studies are conducted to investigate the performance of the proposed CIs in terms of their empirical coverage probabilities. An example taken from the mildly asthmatic study is illustrated using the proposed simultaneous CIs. Empirical results show that the proposed generalized fiducial method and the square-and-add method behave better than other two compared CIs.

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