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Panel A of Table 9 shows the summary statistics for the model estimate parameters using the auxiliary variable regression method.
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Since the strata used to simulate the plot population is deemed to be "unknown" for the simulated sampling, the simulated population is re-stratified using the auxiliary variables OV and CC. 6.
The WKM method gains efficiency by recovering information for interval-censored participants who have early colonoscopy using the auxiliary variables.
Using the auxiliary complex variable w = s 0.5 we have: (25).
Then, a fuzzy logic controller can also be designed using this auxiliary variable as input, giving adequate performance in all regions.
Let us define the auxiliary variable: (24).
Second, in contrast to the main variable, which is almost always used with a negative feedback, the auxiliary variable is often used with a positive feedback.
In summary, the WKM method could provide an adjustment for dependent censoring through using information from the auxiliary variables.
The effect of this modification on the standard estimators, ratio, position, stratification, regression and difference type estimators which use the β-quantile of the auxiliary variable to estimate the β-quantile of the main variable, is studied.
All gave more efficient results than the use of simple random sampling as long as there was some positive level of correlation between the target variable of the inventory and the auxiliary variable being used; their efficiency increased progressively as the level of correlation increased.
Reich et al. (1993) compared use of the ratio of means estimator and model-assisted estimation to estimate the mean unit area biomass of a perennial prairie grass, native to north America, across a 1500-m2 sample area in Colorado; they used a process equivalent to having the auxiliary variable measured only on a first-phase sample rather than the entire population.
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