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Table 2.3-10. Caparison of production sanple rteans frao each range site within a vegetation type bawd <br />m 1979 data [o detennire if uniq~~ populations exist. <br />• <br />Fsti- Differ <br />Statdard mate ence [ cal- [Test <br />Vegetation deviation of Mean (d) culated star @ Conclusion (Accept, <br />type n (s) (X)(1) Xi - Xj (2) = 0.05(3) Reject) (4) <br />Mountain shrub <br />Ratge site 1 16 63.7 <br />V; 2302.48 11.7 <br />Range site 2 16 75.4 <br />Range site 1 16 63.7 <br />VS 935.41 28.3 <br />Range site 3 16 35.4 <br />Range site 2 <br />Range site 3 <br />Sagebrush-grass <br />Range site 4 27 48.6 <br />V; 1,228.94 7.7 <br />Range site 5 27 40.9 <br />Canrot reject the toll hy- <br />9778 2.131 pothesis, that 1 and 2 are <br />equal at the .05 level of <br />statistical confidence. <br />Reject the null hypothesis <br />3.7012 2.131 that 1 and 3 are equal <br />at the .OS level of <br />statistical confidence. <br />Reject that 2 and 3 are <br />equal based on a canpari~n <br />of the means arcs at the [w <br />previous calculations. <br />Canna reject the toll hy- <br />1.1393 2.056 pothesis, that 4 and 5 are <br />equal at the .OS level of <br />statistical confidence. <br />(1) 2 ~dK - (lL dK)2 wttere: sd = Tne vaziance of the irciividual differences betteen <br />s = n the ith atd jth groups. <br />d n-1 dk = The square of the itdividual differences between <br />the ith arcs jth groups. <br />n =The nmber of pairs of plots sampled. <br />(2) t = R. - <br />n <br />sd <br />n <br />(3) From Freese, 1967. <br />there: X. = Tne mean of Xi. <br />X. = Tne ~an of X.. <br />J J <br />(4) Null Hypothesis: ~1 = ~2 Alternate }Iypothesis: ~I # ~2 <br />~1-~3 ~1~~3 <br />`. u <br />~4 -~ 5 4 #~ 5 <br />2-96 <br />