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NM-method
The NM-method or Naszodi–Mendonca method is the operation that can be applied in statistics, econometrics, economics, sociology, and demography to construct counterfactual contingency tables. The method finds the matrix X ( X \in \mathbb^ ) which is “closest” to matrix Z ( Z \in \mathbb^ called the seed table) in the sense of being ranked the same but with the row and column totals of a target matrix Y ( Y \in \mathbb^) . While the row totals and column totals of Y are known, matrix Y itself may not be known. Since the solution for matrix X is unique, the NM-method is a function: X=\text(Z, Y e^T_m, e_nY): \mathbb^ \times \mathbb^ \times \mathbb^ \mapsto \mathbb^, where e_n is an all one row vector of size 1\times n, while e^T_m is an all one column vector of size m\times 1. The NM-method was developed by Naszodi and Mendonca (2021) to solve for matrix X in problems, where matrix \boldsymbol is not a sample from the population characterized by the row totals and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Iterative Proportional Fitting
The iterative proportional fitting procedure (IPF or IPFP, also known as biproportional fitting or biproportion in statistics or economics (input-output analysis, etc.), RAS algorithm in economics, raking in survey statistics, and matrix scaling in computer science) is the operation of finding the fitted matrix X which is the closest to an initial matrix Z but with the row and column totals of a target matrix Y (which provides the constraints of the problem; the interior of Y is unknown). The fitted matrix being of the form X=PZQ, where P and Q are diagonal matrices such that X has the margins (row and column sums) of Y. Some algorithms can be chosen to perform biproportion. We have also the entropy maximization, information loss minimization (or cross-entropy) or RAS which consists of factoring the matrix rows to match the specified row totals, then factoring its columns to match the specified column totals; each step usually disturbs the previous step’s match, so these steps are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Social Mobility
Social mobility is the movement of individuals, families, households or other categories of people within or between social strata in a society. It is a change in social status relative to one's current social location within a given society. This movement occurs between layers or tiers in an open system of social stratification. Open stratification systems are those in which at least some value is given to achieved status characteristics in a society. The movement can be in a ''downward'' or ''upward'' direction. Markers for social mobility such as education and class, are used to predict, discuss and learn more about an individual or a group's mobility in society. Typology Mobility is most often quantitatively measured in terms of change in economic mobility such as changes in income or wealth. Occupation is another measure used in researching mobility which usually involves both quantitative and qualitative analysis of data, but other studies may concentrate on social ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Unit Interval
In mathematics, the unit interval is the closed interval , that is, the set of all real numbers that are greater than or equal to 0 and less than or equal to 1. It is often denoted ' (capital letter ). In addition to its role in real analysis, the unit interval is used to study homotopy theory in the field of topology. In the literature, the term "unit interval" is sometimes applied to the other shapes that an interval from 0 to 1 could take: , , and . However, the notation ' is most commonly reserved for the closed interval . Properties The unit interval is a complete metric space, homeomorphic to the extended real number line. As a topological space, it is compact, contractible, path connected and locally path connected. The Hilbert cube is obtained by taking a topological product of countably many copies of the unit interval. In mathematical analysis, the unit interval is a one-dimensional analytical manifold whose boundary consists of the two points 0 and 1. Its ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Probability Model
In statistics, a linear probability model (LPM) is a special case of a binary regression model. Here the dependent variable for each observation takes values which are either 0 or 1. The probability of observing a 0 or 1 in any one case is treated as depending on one or more explanatory variables. For the "linear probability model", this relationship is a particularly simple one, and allows the model to be fitted by linear regression. The model assumes that, for a binary outcome (Bernoulli trial), Y, and its associated vector of explanatory variables, X, : \Pr(Y=1 , X=x) = x'\beta . For this model, : E X= \Pr(Y=1, X) =x'\beta, and hence the vector of parameters β can be estimated using least squares. This method of fitting would be inefficient, and can be improved by adopting an iterative scheme based on weighted least squares, in which the model from the previous iteration is used to supply estimates of the conditional variances, \operatorname(Y, X=x), which would vary betwee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Impossible World
In philosophical logic, the concept of an impossible world (sometimes called a non-normal world) is used to model certain phenomena that cannot be adequately handled using ordinary possible worlds. An impossible world, i, is the same sort of thing as a possible world w (whatever that may be), except that it is in some sense "impossible." Depending on the context, this may mean that some contradictions, statements of the form p\&\lnot p are true at i, or that the normal laws of logic, metaphysics, and mathematics, fail to hold at i, or both. Impossible worlds are controversial objects in Philosophy, Logic, Semantics. They have been around since the advent of possible world semantics for Modal logic, as well as world based semantics for non-classical logics, but have yet to find the ubiquitous acceptance, that their possible counterparts have found in all walks of philosophy. Argument from ways Possible worlds Possible worlds are often regarded with suspicion, which is why their pro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cardinal Scale
In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of Set (mathematics), sets. The cardinality of a finite set is a natural number: the number of elements in the set. The ''transfinite number, transfinite'' cardinal numbers, often denoted using the Hebrew symbol \aleph (Aleph (Hebrew), aleph) followed by a subscript, describe the sizes of infinite sets. Cardinality is defined in terms of bijective functions. Two sets have the same cardinality if, and only if, there is a one-to-one correspondence (bijection) between the elements of the two sets. In the case of finite sets, this agrees with the intuitive notion of size. In the case of infinite sets, the behavior is more complex. A fundamental theorem due to Georg Cantor shows that it is possible for infinite sets to have different cardinalities, and in particular the cardinality of the set of real numbers is greater than the cardinality of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ceteris Paribus
' (also spelled '; () is a Latin phrase, meaning "other things equal"; some other English translations of the phrase are "all other things being equal", "other things held constant", "all else unchanged", and "all else being equal". A statement about a causal, empirical, or logical relation between two states of affairs is ''ceteris paribus'' if it is acknowledged that the statement, although usually accurate in expected conditions, can fail because of, or the relation can be abolished by, intervening factors. chapter 2 A ''ceteris paribus'' assumption is often key to scientific inquiry, because scientists seek to eliminate factors that perturb a relation of interest. Thus epidemiologists, for example, may seek to control independent variables as factors that may influence dependent variables—the outcomes of interest. Likewise, in scientific modeling, simplifying assumptions permit illustration of concepts considered relevant to the inquiry. An example in economics is "If t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Social Norms
Social norms are shared standards of acceptable behavior by groups. Social norms can both be informal understandings that govern the behavior of members of a society, as well as be codified into rules and laws. Social normative influences or social norms, are deemed to be powerful drivers of human behavioural changes and well organized and incorporated by major theories which explain human behaviour. Institutions are composed of multiple norms. Norms are shared social beliefs about behavior; thus, they are distinct from "ideas", " attitudes", and "values", which can be held privately, and which do not necessarily concern behavior. Norms are contingent on context, social group, and historical circumstances. Scholars distinguish between regulative norms (which constrain behavior), constitutive norms (which shape interests), and prescriptive norms (which prescribe what actors ''ought'' to do). The effects of norms can be determined by a logic of appropriateness and logic of conseque ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Homogamy (sociology)
Homogamy is marriage between individuals who are, in some culturally important way, similar to each other. It is a form of assortative mating. The union may be based on socioeconomic status, class, gender, caste, ethnicity, or religion, or age in the case of the so-called Age disparity in sexual relationships#Statistics, age homogamy. It can also refer to the socialization customs of a particular group in that people who are similar tend to socialize with one another. Criteria for mates There are three criteria with which people evaluate potential mates: warmth and loyalty, attractiveness and vitality, and status and resources. These three categories can heavily shape themselves around the secondary traits of ethnicity, religion, and socio-economic status. Ethnicity can be tied to perceptions of biological vitality and attractiveness. Socio-economic status relates directly to status and resources. Religious or spiritual beliefs interpersonal behavior; people tend to be warmer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
FIDE Titles
FIDE titles are awarded by the international chess governing body FIDE (''Fédération Internationale des Échecs'') for outstanding performance. The highest such title is Grandmaster (GM). Titles generally require a combination of Elo rating and norms (performance benchmarks in competitions including other titled players). Once awarded, titles are held for life except in cases of fraud or cheating. Open titles may be earned by all players, while women's titles are restricted to female players. Many strong female players hold both open and women's titles. FIDE also awards titles for arbiters, organizers and trainers. Titles for correspondence chess, chess problem composition and chess problem solving are no longer administered by FIDE. A chess title, usually in an abbreviated form, may be used as an honorific. For example, Magnus Carlsen may be styled as "GM Magnus Carlsen". History The term "master" for a strong chess player was initially used informally. From the late 19t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Credit Rating
A credit rating is an evaluation of the credit risk of a prospective debtor (an individual, a business, company or a government), predicting their ability to pay back the debt, and an implicit forecast of the likelihood of the debtor defaulting. The credit rating represents an evaluation of a credit rating agency of the qualitative and quantitative information for the prospective debtor, including information provided by the prospective debtor and other non-public information obtained by the credit rating agency's analysts. Credit reporting (or credit score) – is a subset of credit rating – it is a numeric evaluation of an ''individual's'' credit worthiness, which is done by a credit bureau or consumer credit reporting agency. Sovereign credit ratings A sovereign credit rating is the credit rating of a sovereign entity, such as a national government. The sovereign credit rating indicates the risk level of the investing environment of a country and is used by investors whe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Categorical Variable
In statistics, a categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property. In computer science and some branches of mathematics, categorical variables are referred to as enumerations or enumerated types. Commonly (though not in this article), each of the possible values of a categorical variable is referred to as a level. The probability distribution associated with a random categorical variable is called a categorical distribution. Categorical data is the statistical data type consisting of categorical variables or of data that has been converted into that form, for example as grouped data. More specifically, categorical data may derive from observations made of qualitative data that are summarised as counts or cross tabulations, or from observations o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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