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We also estimated the standard deviation of the best-fit plane orientation using a bootstrap resampling method.
The 95% confidence limits were estimated using a bootstrap resampling method: 100° to 120°, − 5° to 15°, and − 15° to 30°, for azimuth and dip angle of σ 1 and dip angle of σ 2, respectively.
The 95% confidence limits were estimated using a bootstrap resampling method, as 95° to 130°, − 20° to 15°, and − 85° to 85°, for azimuth, dip angle of σ 1, and dip angle of σ 2, respectively.
We make these estimates separately for females and males and by age group, with 95% confidence intervals estimated using a bootstrap resampling method.
Comparisons were made, and 95% confidence intervals for the mean and p values were calculated using a bootstrap resampling routine (over 100,000 trials) in MATLAB (The Mathworks, Natick, MA, US) with the resampling functions package from Resampling Statistics (Resampling Stats, Inc. Arlington, VA, USA).
Support values for internal nodes were estimated using a bootstrap resampling procedure with 1000 replicates [ 47].
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To minimize potential bias and produce more stable results, we used a bootstrap resampling approach to select those not in remission, repeating the sample matching analysis process 500 times.
We accomplished this using a bootstrap method involving resampling n samples from the ground plot data with replacement using equal probability sampling, following recommendations from McRoberts et al. (2011) and based on work by Efron and Tibshirani (1986).
Standard errors were calculated using a bootstrap approach (10,000 resamples).
As before, we estimated pollutant-property specific CIs using a bootstrapollutant-property specificpling with replaCIsent 500 times.
This approach tests the indirect relationship between an exposure factor and an outcome through a mediator by using a bootstrap (i.e., resampling) procedure that addresses some weaknesses associated with the Sobel test [ 35].
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