ORDERED 46 17 18 23 23 23 24 25 RATIOS: 26 26 28 28 28 29 30 = 10 i Ww 8 Yo a ae z a a ° © 26 n=15 oO thel 0 o 25 26 23 O73 24 2 ie 3 yesll lL l _| { 0.08 0.16 0.24 0320.40 0.48 0.56 241am SOIL (nCi/g dry wt) FIGURE 6. Example of Linear Regression Through the Origin. on the The confidence limits for all five of these methods are based normal distribution i.e. that the estimated average ratio tis normally ate ¥ and In addition, Method 4 assumes that both X distributed. median themselves normally distributed. Method 6 (R,) 1s the estimated of the ratios based on the assumption that the ratios are lognormally distributed. an + wn “1 Stratum 3, = — J aus oo Gu Method 7 (Rc), the median of the observed ratios, is independent of any distribution assumptions. the lognormal The range of the estimates in Table 1 is from 23.82 for e interval estimate, Ry4, to 26.12 for Ry. Ry, falls into each confidenc R3 and Rs are outside the except for those of R, and Methed 3. estimates the The confidence intervals for confidence interval for R;. smaller (2.34 based on a distributional form (Methods 1 to 6) are much This is due to the to 5.69) than the one for the sample median (9.77). Since the data fact that the observations are fairly evenly spaced. gives about fit a straight line through the origin, all of the metheds of the distribution the same estimate of the average ratio regardless involved. rH " ~ " ts + —t n 7 5 ° ms a 8 “ an a © = in S 4 cs) « + é a a ~ « +t n “a “ “ ~ nN ™ 7 “ n . t co 4 “ a . a 4 nN a a 3 3 s qq a -_ co a‘ +t ‘ ¢ a _~ t ol om Bt a mm —t a Double Track Site, on Estimates of the Average Pu to Am Ratio in Soil, S DOUBLE TRACK = 2 F STRATUM 3 36 TTR. Or9 TABLE 1. ¥5 14 | TONOPAH TEST RANGE ~~ _ n. nt. — — . — . . — Nae 7 M 30 .° au Ho Pep ws Ww : ° + m .o N a o a Sool i 4 a et 00 oo « wo wy Ww wy 0 ” os 4 laa“ pee ue a 2 a S 8 ™ “ wy wn wn "7 a “ ~t ™ a dd st . * “ ™ rat —s ted * ~ 74 lH a cod on od ei g etl al uu a) ~~ od 7 on a 4 a(n] m4 a om > == > nN s pe ~ > a & > 1 3 e4 ~~ le H N ~~ pe a 3 eLyn ~ y A 4 aln]n A aja 1 THE 4 2 FI s ia tt lo tt m™ 3 ~“A ~~ I 8 c a a 3 {pe ~™ ° a o Ww le Pr) wd bd ot oe m a iv a " x m4 ed ei oe re Py “ a a a at wy so ~ o 23 = 613