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Figuring the Probability and Odds

Figure 16.1 shows median width of a 95% Cl for risk difference (Figure 16.1a), risk ratio (Figure 16.1b), and odds ratio (Figure 16.1c). We can see that the width of Cl dramatically decreases as the number of studies increases regardless of the measure. Also, the plots of p = 0.4 are generally above those corresponding to = 0.2 and 0.3, particularly, for relative risk and odds ratio. This is expected since the variance of a binomial distribution is larger as the probability is closer to 0.5. Figure 16.1 shows median width of a 95% Cl for risk difference (Figure 16.1a), risk ratio (Figure 16.1b), and odds ratio (Figure 16.1c). We can see that the width of Cl dramatically decreases as the number of studies increases regardless of the measure. Also, the plots of p = 0.4 are generally above those corresponding to = 0.2 and 0.3, particularly, for relative risk and odds ratio. This is expected since the variance of a binomial distribution is larger as the probability is closer to 0.5.
Extremely accurate results for reaction probabilities, e.g. were obtained in a few cases (e.g. I+HI and isotopic variants, [22,52] for H+MuH [22], see Figure 6), using purely semiclassical techniques for scattering phaseshifts. Formula (15) allows to predict oscillations due to interference between even and odd propagation in the energy dependence of probabilities. These oscillations have been found in numerical work [7]. As shown in Table I (from [22]) excellent agreement with exact calculation was obtained for resonances in H+MuH (see also Figure 5). [Pg.400]

FIGURE 14 Probability density of the two p -radical electrons. The first four molecules are almost perfect diradicals, the hexa-mer and heptamer molecules have changed to dicarbenes. Note that the "up" p -electron on the left is located on odd carbon atom positions, whereas the "down" p -electron on the right is located on even carbon atom positions. [Pg.58]

The deoxy forms of hemocyanins are colorless, as a result of their 3d ° dicopper(I) centers. Although chemical and x-ray absorption spectroscopic studies had shed considerable light on the nature of the deoxy-He dicopper binding site, there now exist two x-ray crystal structures, the first on the the spiny lobster He, Panulirus interruptus [23], and a recent one of the horseshoe crab Limulus II protein [24], The structures exhibit rather different active-site characteristics, and since the former was crystallized at low pH and possesses rather odd copper coordination, the latter Limulus II structure is probably representative. It indicates that the two Cu(I) ions are 4.6 A apart, each found in a trigonal-planar coordination environment with Cu-NMs bond distances of about 2.0 A (Figure 1). Intersubunit 02 binding cooperative effects are probably initiated and trans-... [Pg.472]

The Paleosoil of Mangrove. The GC trace of the saturated/unsaturated hydrocarbons of the extract from the buried soil of mangrove is dominated by odd n-alkanes probably derived from cuticular waxes (Figure 6A). The "intermediate" fraction of the same extract is poor in sulfur compounds (Figure 6B) only a C29 sterane thiol previously identified in the Rozel Point oil (18). and by a C30 n-alkylthiophene. The former compound might be related to the C29 sterene dominantly present in the saturated/unsaturated fraction (Figure 6A). [Pg.186]


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