Probability table

Furthermore, when both np and nq are greater than 5, the binomial distribution is closely approximated by the normal distribution, and the probability tables in Appendix lA can be used to determine the location of the solute and its recovery. 

One method of estimating the time required to complete a specific task is to use probability tables or calcuations to define the appropriate interval. 

The cumulative probability table can be presented in two forms, namely... 

To establish the probability table, the standard error of the mean (SEM) must be calculated as presented earlier or as... 

This weighting value for each pair of groups is multiplied by (y — y2) for each value to arrive at a t value. It is the / that will later be compared to a probability table. 

The probability table is set up as before except that instead of multiplying the appropriate table values by SEM, SEM2 is used. This is equal to yMSwg. 

There is no easy spreadsheet calculation of the probability associated with g, so you must compare it against tables of the critical G value for n data and 95% or 99% probability (table 2.4)... 

There is no direct way of computing probability curve, assuming that the kind of distribution we are dealing with is random. Suppose, as an example, that we desire 99 perce nt of gross samples to be within = = 1 percent of the average of a determinable attribute whose (S.D.)2 is 20, what will be the value of [Pg.493]

In accordance with calculations have been established, that in solid solution hydrogen occupied all sites with A2B2 coordination, typical for Laves phases (1, k, hi, h2), but with different probability (table 4). Generally hydrogen atoms occupied 1 and k sites (in rate 4 1), and in h site the occupancy is less than one atom at elementary cell of hydride (0,84) and this occupancy decreasing until 0,6 with lowering of the hydrogen content. 

In agreement with the Uterature data [19-20], we found that catalytic activity of cobalt supported catalysts increases with increasing total pressure from 1 to 20 bar (Table 4). An increase in the reaction temperature at 20 bar from 463 to 498 K leads to higher FT reaction rales and to a decrease both in selectivity and in chain growth probability (Table 5). This observation is also consistent with the previous reports [2,18]. 

When comparing proportions between two small groups (e.g. whether 3/10 is significantly different from 5/10), you can use probability tables such as those of Finney et al. (1963) or calculate probabilities from formulae however, this can be tedious for large sample sizes. Certain proportions can be transformed so that their distribution becomes normal. 

A similar algorithm can be applied for categorical variables with kxm categories. For example, suppose smoking status was then stratified by sex (to form a 3 x 2 table) such that the probabilities within each cell were as given in Table 33.3. This table can be broken down into the cumulative probability table shown as Table 33.4. 

Laser flash photolysis of cyanostilbenes in fluid solutions did not reveal any absorption from a transient with a lifetime larger than 10 ns, the only short-lived (<10ns) transient absorption has been assigned to a S, - S transition [85], Therefore, the lowest triplet state is not populated in fluid solution after direct excitation. At lower temperatures and higher viscosities a triplet has been observed due to a longer lifetime of 4. This leads to an increase of d isc which is apparently low at room temperature. It is therefore unlikely that 4 decays to 3t or any other triplet state prior to conversion to p p converts directly into p which decays with almost equal probability (Table 19) to 4 and 4. 

A more appropriate use of the one-tailed test follows. If a health guideline were set at 10 units, and the SD were about 3.3 (i.e., MDL was 10), then probability tables predict that a result greater than 14 (i.e., 10 + 1.64 x 3.3) would suggest the sample contains more than the guideline (risk of error <5%), while a result of less than 6 would suggest the sample contains less than the guideline. Notice that failure to report these low values prevents decision making. 

Count positive samples using probability tables to give presumptive conforms... 

NIST ATOMIC TRANSITION PROBABILITY TABLES J.R. Fuhr and W.L. Wiese... 

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