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forth in Chapter 10 of Cochran (1977). Two-stage sampling is undertaken by dividing the entire <br />area to be monitored into smaller units that are known as "primary units". A subset of primary <br />units is randomly selected and each selected primary unit is then divided into "subunits". <br />Randomly selected subunits are sampled and represent the second-stage of sampling. At the <br />Kerr Mine, each area to be monitored was divided into 20 equal-sized primary sample units and <br />12 of these were randomly selected to be sampled. (For reclaimed area sampling, see Map 1, <br />Sheets 5, 6, and 7. For reference area sampling, see Map 3, Sheet 2; Map 4, Sheet 2; and Map <br />5, Sheet 2). Within each selected primary sample unit, three of the potential secondary units <br />within each primary unit were randomly chosen in the same fashion that was used for single <br />stage random sampling. These points were then placed on the field maps and located as <br />accurately as possible in the field. Three production samples and three shrub density samples <br />were placed in each of twelve primary units in each sampled area for a total of 36 production <br />samples and 36 shrub density samples per sampled area. The initial array of 36 production <br />samples and 36 shrub density samples per sampled area met the conditions of sample adequacy <br />and no additional samples were taken. <br />Sample Adequacy Calculations <br />Two formulas were used to calculate sample adequacy. Sample adequacy calculations for <br />parameter estimation without hypothesis testing were carried out for all sampling in the 1995 <br />Reclamation Area, Alkali Sagebrush Reference Area, Sagebrush-Grass Reference Area, and <br />Sagebrush-Gravel Reference Area. This formula was also used to calculate sample adequacy <br />for total annual production sampling and shrub density sampling in the Pre-1986 Reclamation <br />Area. An alternate formula was used for reclamation areas when the parameter mean for the <br />bond release block was less than 90 percent of the reclamation success standard and hypothesis <br />testing was required to test the statistical significance of this difference. The sample adequacy <br />calculation for parameter estimation with hypothesis testing was required for cover samples in the <br />Pre-1986 Reclamation Area. Because estimated cover for the 1996 Reclamation Area was <br />marginally greater than the 90 percent reclamation standard, the alternate formula for use when <br />the bond release block is less than 90 percent of the reclamation success standard was used to <br />ensure an adequate sample size. <br />Stele Adeguacv Calculations for Reference Areas and Reclaimed Area Parameter <br />Estimation without Hvoothesis Testing <br />Sample adequacy calculations parameter estimation without hypothesis testing were carried out <br />using the formula as prescribed by the Colorado Mined Land Reclamation Board for parameter <br />estimation without hypothesis testing (CMLRB) (1995): <br />tZ sZ <br />Nmin= '°-------- <br />~d X ~z <br />where: <br />to =one-tailed t-value with (n-1) degrees of freedom, a=0.10 <br />s2 =sample variance <br />d = 0.1 (level of precision or desired detectable reduction) <br />x =sample mean <br />