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<br />In addition to the PCQ data, canopy cover at each sample point was visually estimated by the <br />observer. It is important to note that the aspen canopy at over half the sample points was substantially <br />reduced due to the recent die-off of mature trees (most likely due to the recent drought). <br />2.7 Sample Adequacy Determination <br />Within each community type (baseline or reference area), sampling for ground cover and production <br />was conducted to a minimum of 20 samples. From these initial samples, a mean and standard deviation <br />for each variable was calculated. Where statistical testing is required (for the establishment of qualified <br />reference areas), collection of an adequate sample (nmin) is typically necessary to insure reliable <br />estimates of the population (e.g., estimates to within 10% of the true mean (p) with 90% confidence). <br />The Cochran formula below was utilized in accordance with directives in Colorado's guidelines (1988). <br />When the inequality (nmin <_ n) is true, sampling can be considered to be adequate, and nmin is <br />determined as follows: <br />nmin = (t2S2) I (0.1x)2 <br /> <br />• <br />Where: n = the number of actual samples collected with a minimum of 20 in each unit; <br />t = the value from the t distribution for 90% confidence with n-1 degrees of freedom; <br />s2 - the variance of the estimate as calculated from the initial samples; <br />x = the mean of the estimate as calculated from the initial samples. <br />If the initial minimum number of samples in each area did not provide a suitable estimate of the <br />mean (i.e., the inequality was false), additional samples were collected until the inequality (nmin S n) <br />became true. Only two areas required additional sampling (Juniper Scrub and Bottomland Baseline <br />Areas) where 39 and 17 additional production samples were collected. <br />2.8 Reference Area Comparability <br />When reference areas are utilized as revegetation standards of success for vegetation cover and <br />production, demonstrations are required prior to permit issuance to document that the selected reference <br />areas are statistically comparable (equal) to the vegetation types for which they represent. The pre- <br />mining demonstration of reference area comparability was made using the two-tailed Students t-test as <br />indicated below. Reference area production and cover are compared at the 95% confidence limit (alpha <br />at 0.05 level) with the respective baseline area production and cover. The sample "P' statistic (t-*) is <br />calculated as follows: <br />CIEDA1R CMMK AM Cll TME, INC. <br />Page 10 <br />2005 Collom Vegetation Survey