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x =sample mean <br />Sample Variance for Sample Adequacy Calculations <br />For one-stage sampling, variance was calculated as the square of the standard deviation (m). <br />For the two-stage sampling of woody plant density, calculation of sample variance for use in the <br />sample adequacy formulas was as follows (Expression 10.10 of Cochran 1977): <br />1-f, 1-f2 <br />Vy = S,2 + S22 <br />n mn . <br />where: <br />VY =Overall variance of woody plant density data <br />f, = n/N= 15/20 =fraction of primary units sampled <br />f2 = m/M= 3/607 =fraction of secondary units within each primary unit actually sampled <br />S,2 =variance among primary unit means <br />SZZ =variance among elements within primary units relative to the orimarv unit means <br />• N =total number of primary units that exist within the sampling area and are potentially to be <br />sampled <br />n = number of primary units actually sampled <br />M =total number of sample elements (secondary units) that exist within each primary unit and are <br />potentially to be sampled <br />m = number of secondary unit elements (2 m X 50 m sample transects) actually sampled within <br />each primary untt <br />Confidence Limits <br />Confidence limits for comparisons to reference area based performance standards and technical <br />standards were calculated using a 1-tailed t-value for alpha error probability of 0.10 at (n-1) <br />degrees of freedom multiplied by the standard error of the mean of the sampled area. <br />C.I. = t, s <br />Jn <br />Performance Standards <br />COVER: A cover performance standard was calculated in accordance with procedures contained <br />in the Seneca II permit and is based on twice the weighted average of herbaceous cover in the' <br />Mountain Brush and Sagebrush reference area. An acreage weighted reference area <br />• comparison based on the relative acreage of each predisturbance plant community was used. <br />Weighting was based on Mountain Brush Reference area as 83 percent and Sagebrush <br />