# Statistical Weight

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## statistical weight

[stə′tis·tə·kəl ′wāt]
(statistics)
A number assigned to each value or range of values of a given quantity, giving the number of times this value or range of values is found to be observed.
(statistical mechanics)
The number of microscopic states that correspond to a given macroscopic state.
A multiplicative factor in the expression for the probability of finding a system in a given quantum state, usually equal to the number of degenerate substates contained in the state.

## Statistical Weight

In quantum mechanics and quantum statistical mechanics, the statistical weight is the number of different quantum states with a given energy—that is. the degree of degeneracy. If the energy assumes a continuous series of values, the statistical weight is understood as the number of states in a given energy range. In classical statistical mechanics, the size of a volume element of phase space is sometimes called the statistical weight.

References in periodicals archive ?
In the research study entitled 'The influence of study habits in academic achievement', which deals with the influence that intelligence and motivation (ie the strength of one's willpower) have in school report cards, it is concluded that motivation has more statistical weight than intelligence.
American Jews punch way above their statistical weight. They campaign, vote and, most significantly, donate to political causes more than any other group; in recent years, the level of their representation in Congress is three to five times bigger than their actual share of the population.
However, if done purely out of curiosity, and if there's an appreciation that results need to be taken with appropriate statistical weight, there seems to be minimal potential for harm in DTC ancestry testing.
These are difficult, expensive studies to carry out because you need a large enough group of subjects for statistical weight, you have to ensure compliance and you have to monitor what is going on.
As a result, the researchers did not have the number of participants in each group they would have liked to give the findings statistical weight.
In some instances, this group of voters is given a statistical weight that lowers its overall representativeness in the likely voter pool.
Though her sample size was too small to carry statistical weight, Holtzer's numbers do offer anecdotal interest: support for same-sex marriage among Kansas freshmen may lag behind the national average for college freshmen, but it still remains well ahead of the general U.S.
Examiners look at about 15 of those regions, and can say with certainty if two DNA samples came from the same person, and add a statistical weight. Fletcher said this is where experts come up with numbers like a one-in-50-billion chance of the sample occurring naturally in a different person.
Cates acknowledged at a meeting on contraceptive technology sponsored by Contemporary Forums that this post hoc subanalysis did not carry the statistical weight of a primary outcome.
Every photon has assigned statistical weight which decrease from an initial value of 1 as it moves through the substrate, and equals [a.sup.n] after n steps, where a is the albedo:
We followed National Center for Health Statistics guidelines in estimating mean estimates software that incorporated the appropriate statistical weight for data collected at the Mobile Examination Center, taking into account the stratified multi-stage random sample design of NHANES 1999 to 2002.
The rationale for straightforward trials, which often have broader eligibility criteria, is to provide a better real-world picture of therapeutic outcomes and lend greater statistical weight to modest treatment differences.

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