To obtain the p-value we now need to add up all of the probabilities associated with values of the test statistic at least as big as the value observed, 7.75 in our [Pg.65]

Indicates the type of a-value ((t+, a or a ) used in the reaction series from which the p-value needed was obtained. [Pg.219]

To obtain the different values of p, it is only hecessary to produce as many independent equations as there are components in the mixture and, if the mixture has n components, to solve a system of n equations having n unknowns. Individual analysis is now possible for mixtures having a few components but even gasoline has more than 200 It soon becomes unrealistic to have ail the sensitivity coefficients necessary for analysis in this case, 200. [Pg.49]

The same procedure is then adopted for obtaining the optimum value of P,2 and hence [Pg.355]

Although it is difficult to obtain the p value of NAD", it can be reasonably assumed that this compound is adsorbed on negatively charged electrodes with either its nicotinamide or adenine moiety in [Pg.189]

To calculate —APf it is therefore necessary to evaluate e/d and obtain the corresponding value of

head loss due to friction hf as [Pg.68]

The former procedure has been used for correlating the reactivities towards electrophiles of monosubstituted thiophenes. Good cr+ plots have been obtained. The p-values for the different reactions in thiophene and benzene have been tabulated (Table 2) (71AHC(13)235, 72IJS(C)(7)6l). [Pg.753]

For solvolysis carried out at 25°C, the correlation gives the following values for p -6.15 for series 262 and -6.68 for series 263. The p values obtained for five other heterocycles and for benzene appear to be related [Pg.148]

The question of bridged and/or open intermediates has been considered in Section 4, where the data on kinetic substituent effects were discussed with the help of the multipathway scheme (Scheme 7) to determine the relative importance of bromonium and carbocation paths. It is not straightforward to obtain significant p-values for each of them from the complex pa relationship (34) and (35) corresponding to this scheme for an a,/f-Ri,R2 [Pg.253]

A sinusoidal plot of grf>2 vs.

another crystal plane gives another set of Ks that depend on other combinations of the gy, eventually enough data are obtained to determine the six independent values of gy (g is a symmetric matrix so that gy = gy,). The g-matrix is then diagonalized to obtain the principal values and the transformation matrix, elements of which are the direction cosines of the g-matrix principal axes relative to the crystal axes. An analogous treatment of the effective hyperfine coupling constants leads to the principal values of the A2-matrix and the orientation of its principal axes in the crystal coordinate system. [Pg.54]

Good to excellent Hammett plots were obtained using substituent constants (see Figure 2.6). Surprisingly, literature examples of good Hammett correlations of stability constants are rare The p-values are shown in Table 2.7. [Pg.59]

These constants, K toK/, may be estimated by use of the Hammett equation. Estimation of 1 and K 4 involves application of the methods outlined in Section II, A, i.e., application of substituent constants for and N+H to the Hammett equation for the acid-base equilibria of benzoic acids. Estimation of A2 and involves application of the method used in Section III,A, i.e., the p-value for the basicity of substituted pyridines, with cr-values for COOH and COO . Provided the necessary a- and p-values are known, this procedure permits the calculation of four independent, or virtually independent, estimates of Krp. A check on the method is available from the relationships shown in Eq. (16) which is readily obtained by multiplication of Eq. (12) and (14) and of Eq. (13) and (15). [Pg.258]

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