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The Monte Carlo simulations (MCS) were made using random sampling and random distribution of variables for 10 000.
The first strand cDNA for each sample was made using random hexamers and Taqman Reverse Transcription Reagents (Applied Biosystems, CA) following the manufacturer's recommendations.
First strand cDNAs for each sample were made using random hexamers and Taqman Reverse Transcription Reagents (Applied Biosystems, CA) following the manufacturer's recommendations.
Total RNA was extracted using Trizol (Invitrogen, Carlsbad, CA, USA), and cDNA was made using random primers following the First-Strand Synthesis protocol (Invitrogen).
Where odds ratios are reported, they have come from logistic regression models, where adjustment for community was made using random effects.
Because the digit span test was administered to the subjects four times at each visit, four different sets of cards were made using random number generation.
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All random draws were made using a random number table.
From the GERD study population, a randomly selected sample was invited by letter or telephone call to participate in the study (selection of participants was made using the random number generating function of Microsoft Excel, adapted to random without replacement).
Quality control of the data was made using 1%% random samples for all lattice cells.
We verified the acceptability of this choice by testing the null hypothesis that errors made in reconstructing species' perceived abundance using median values of class limits were equal to errors made using a random classification (Materials and Methods S1).
Household selection was made using a random start method.
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