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Table 2.3-10. Comparison of production sample means from each range site within a vegetation type based <br />on 1979 data to determine if unique populations exist. <br />• <br />Esti- Differ- <br />Standard <br />ifferStandard mate ence t cal- t Test <br />Vegetation deviation of Mean (d) culated stat @ Conclusion (Accept, <br />type n (s) (X)(1) Xi - XJ (2) = 0.05(3) Reject) (4) <br />Mountain shrub <br />Range site 1 16 63.7 Cannot reject the null hy- <br />VS 2302.48 11.7 .9778 2.131 pothesis, that 1 and 2 are <br />Range site 2 16 75.4 equal at the .05 level of <br />statistical confidence. <br />Range site 1 16 63.7 Reject the null hypothesis <br />VS 935.41 28.3 3.7012 2.131 that 1 and 3 are equal <br />Range site 3 16 35.4 at the .05 level of <br />statistical confidence. <br />Range site 2 Reject that 2 and 3 are <br />VS equal based on a comparison <br />Range site 3 of the means and on the two <br />previous calculations. <br />Sagebrush -grass <br />Range site 4 27 48.6 Cannot reject the null hy- <br />VS 1,228.94 7.7 1.1393 2.056 pothesis, that 4 and 5 are <br />Range site 5 27 40.9 equal at the .05 level of <br />statistical confidence. <br />(1)2 �dK - (lL dK)2 where: sd = The variance of the individual differences between <br />s = n the ith and jth groups. <br />d [1-1 dk = The square of the individual differences between <br />the ith and jth groups. <br />n = The amber of pairs of plots sampled. <br />(2)t = M - Y. <br />n <br />sd <br />n <br />(3) From Freese, 1967. <br />where: X. = The mean of Xi. <br />X. = The mean of X.. <br />J J <br />(4) Null Hypothesis: %41 =%A2 Alternate Hypothesis: A #/112 <br />/A1-,LA3 -1"'IA3 <br />`. <br />IA -k4 -'A 5 4 #"u 5 <br />2-96 <br />