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The objectives of this study were to (1) thoroughly review water demand forecasting models over the past five decades, and (2) propose a new system dynamics model to reflect the intrinsic relationship between water demand and macroeconomic environment using out-of-sample estimation for long-term municipal water demand forecasts in a fast-growing urban region.

We then estimated the RMSE of the PCRs for the included states and, based on out-of-sample estimation, for the omitted states.> -wrap-foot> Notes: RMSE, root mean squared error Out-of-sample RMSE values were lowest for Medicare (range.177 to.269) and Medicaid (.116 to.287) and highest for self-pay and other categories (.452 to.452).452

The first one is power analysis for sample estimation.

We reviewed the approaches to sample size estimation for paired binary data and compared the sample size estimates on the same numerical examples.

Sample size estimation for comparing capillary versus arterial samples was based on the method described by Walter and Shoukri [10, 11].

Sample size estimation for comparing capillary versus arterial samples was based on the method described by Walter and Shoukri [ 10, 11].

When performing sample size estimation for ROC analysis one hypotheses that estimated AUC differs significantly (at level.05) from AUC of 0.5 (ie. "better than coin flip").

The sample size estimation for morbidity related outcomes, which was highest and drove sample size, has been described previously [20].

Sample size reached in our series was optimum according to the sample size estimation for a gene-only study obtained with Quanto v.1.2 program (University of Southern California) [ 21].

The aim of this study was to assess the feasibility of using a simple email recruitment strategy and online questionnaire to produce an estimated effect size based upon expert opinion to inform sample size estimation for a randomised controlled trial.

This paper discusses sample size estimation for several simultaneous tests of rate differences in non-inferiority trials.

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