Composite Statistic
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Composite Statistic
Composite measure in statistics and research design refer to composite measures of variables, i.e. measurements based on multiple data items. An example of a composite measure is an IQ test, which gives a single score based on a series of responses to various questions. Three common composite measures include: * indexes - measures that summarize and rank specific observations, usually on the ordinal scale; * scales - advanced indexes whose observations are further transformed (scaled) due to their logical or empirical relationships; * typologies - measures that classify observations in terms of their attributes on multiple variables, usually on a nominal scale. Indexes versus scales Indexes are often referred to as scales, but in fact not all indexes are scales. Whereas indexes are usually created by aggregating scores assigned to individual attributes Attribute may refer to: * Attribute (philosophy), an extrinsic property of an object * Attribute (research), a characteristic ...
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Variable And Attribute (research)
In science and research, an attribute is a quality of an object (person, thing, etc.).Earl R. Babbie, ''The Practice of Social Research'', 12th edition, Wadsworth Publishing, 2009, , p. 14-18 Attributes are closely related to variables. A variable is a logical set of attributes. Variables can "vary" – for example, be high or low. How high, or how low, is determined by the value of the attribute (and in fact, an attribute could be just the word "low" or "high"). ''(For example see: Binary option)'' While an attribute is often intuitive, the variable is the operationalized way in which the attribute is represented for further data processing. In data processing data are often represented by a combination of ''items'' (objects organized in rows), and multiple variables (organized in columns). Values of each variable statistically "vary" (or are distributed) across the variable's domain. A domain is a set of all possible values that a variable is allowed to have. The values are orde ...
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IQ Test
An intelligence quotient (IQ) is a total score derived from a set of standardized tests or subtests designed to assess human intelligence. The abbreviation "IQ" was coined by the psychologist William Stern (psychologist), William Stern for the German language, German term ''Intelligenzquotient'', his term for a scoring method for intelligence tests at University of Wrocław, University of Breslau he advocated in a 1912 book. Historically, IQ was a score obtained by dividing a person's mental age score, obtained by administering an intelligence test, by the person's chronological age, both expressed in terms of years and months. The resulting fraction (quotient) was multiplied by 100 to obtain the IQ score. For modern Intelligence quotient#Current tests, IQ tests, the Test score, raw score is Data transformation (statistics), transformed to a normal distribution with mean 100 and standard deviation 15. This results in approximately two-thirds of the population scoring between I ...
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Index (statistics)
In statistics and research design, an index is a composite statistic – a measure of changes in a representative group of individual data points, or in other words, a compound measure that aggregates multiple indicators. Indexes – also known as composite indicators – summarize and rank specific observations. Much data in the field of social sciences and sustainability are represented in various indices such as Gender Gap Index, Human Development Index or the Dow Jones Industrial Average. The ‘Report by the Commission on the Measurement of Economic Performance and Social Progress’, written by Joseph Stiglitz, Amartya Sen, and Jean-Paul Fitoussi in 2009 Stiglitz, J., Sen, A., & Fitoussi, J.-P. (2009). eport by the Commission on the Measurement of Economic Performance and Social Progress. suggests that these measures have experienced a dramatic growth in recent years due to three concurring factors: * improvements in the level of literacy (including statistical) * increas ...
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Ordinal Scale
Ordinal data is a categorical, statistical data type where the variables have natural, ordered categories and the distances between the categories are not known. These data exist on an ordinal scale, one of four levels of measurement described by S. S. Stevens in 1946. The ordinal scale is distinguished from the nominal scale by having a ''ranking''. It also differs from the interval scale and ratio scale by not having category widths that represent equal increments of the underlying attribute. Examples of ordinal data A well-known example of ordinal data is the Likert scale. An example of a Likert scale is: Examples of ordinal data are often found in questionnaires: for example, the survey question "Is your general health poor, reasonable, good, or excellent?" may have those answers coded respectively as 1, 2, 3, and 4. Sometimes data on an interval scale or ratio scale are grouped onto an ordinal scale: for example, individuals whose income is known might be grouped into the ...
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Scale (social Sciences)
In the social sciences, scaling is the process of measuring or ordering entities with respect to quantitative attributes or traits. For example, a scaling technique might involve estimating individuals' levels of extraversion, or the perceived quality of products. Certain methods of scaling permit estimation of magnitudes on a continuum, while other methods provide only for relative ordering of the entities. The level of measurement is the type of data that is measured. The word scale, including in academic literature, is sometimes used to refer to another composite measure, that of an index. Those concepts are however different. Scale construction decisions *What level ( level of measurement) of data is involved (nominal, ordinal, interval, or ratio)? *What will the results be used for? *What should be used - a scale, index, or typology? *What types of statistical analysis would be useful? *Choose to use a comparative scale or a noncomparative scale. *How many scale divisi ...
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Typology (statistics)
Typology is a composite measure that involves the classification of observations in terms of their Variable and attribute (research), attributes on multiple Variable and attribute (research), variables. Such classification is usually done on a nominal scale. Typologies are used in both Qualitative research, qualitative and quantitative research. An example of a typology would be classification such as by age and health: young-healthy, young-sick, old-healthy, old-sick. Typological theorizing is the development of theories about configurations of variables that constitute theoretical types. According to Andrew Bennett and Alexander George, typological theories are useful "to address complex phenomena without oversimplifying, clarify similarities and differences among cases to facilitate comparisons, provide a comprehensive inventory of all possible kinds of cases, incorporate interactions effects, and draw attention to... kinds of cases that have not occurred." References

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Nominal Scale
Level of measurement or scale of measure is a classification that describes the nature of information within the values assigned to variables. Psychologist Stanley Smith Stevens developed the best-known classification with four levels, or scales, of measurement: nominal, ordinal, interval, and ratio. This framework of distinguishing levels of measurement originated in psychology and is widely criticized by scholars in other disciplines. Other classifications include those by Mosteller and Tukey, and by Chrisman. Stevens's typology Overview Stevens proposed his typology in a 1946 ''Science'' article titled "On the theory of scales of measurement". In that article, Stevens claimed that all measurement in science was conducted using four different types of scales that he called "nominal", "ordinal", "interval", and "ratio", unifying both " qualitative" (which are described by his "nominal" type) and "quantitative" (to a different degree, all the rest of his scales). The conc ...
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Indicator (social Sciences)
In statistics and research design, an indicator is an observed value of a variable, or in other words "a sign of a presence or absence of the concept being studied". Just like each color indicates in a traffic lights the change in the movement. For example, if a variable is religiosity, and a unit of analysis is an individual, then that one of potentially more numerous indicators of that individual's religiosity would be whether they attend religious services; others - how often, or whether they donate money to religious organizations. Numerous indicators can be aggregated into an index. The complexity of biological systems makes evaluating them a challenge. Bioindicators, such as indicator bacteria, are ecological indicators, sometimes requiring further consideration of environmental indicators. In public health study, one relies on health indicators. In a given locality, community indicators inform planners, while the design quality indicator can be the basis of building pe ...
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Semantic Differential
The semantic differential (SD) is a measurement scale designed to measure a person's subjective perception of, and affective reactions to, the properties of concepts, objects, and events by making use of a set of bipolar scales. The SD is used to assess one's opinions, attitudes, and values regarding these concepts, objects, and events in a controlled and valid way. Respondents are asked to choose where their position lies, on a set of scales with polar adjectives (for example: "sweet - bitter", "fair - unfair", "warm - cold"). Compared to other measurement scaling techniques such as Likert scaling, the SD can be assumed to be relatively reliable, valid, and robust. The SD has been used in both a general and a more specific way. Charles E. Osgood's theory of the semantic differential exemplifies the more general attempt to measure the semantics, or meaning, of words, particularly adjectives, and their referent concepts. In fields such as marketing, psychology, sociology, and infor ...
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