Level of measurement, the Glossary
Level of measurement or scale of measure is a classification that describes the nature of information within the values assigned to variables.[1]
Table of Contents
99 relations: Affine space, Aggregate data, American Psychologist, Analytic hierarchy process, Angle, Arithmetic mean, Behavioural sciences, British Science Association, Celsius, Central tendency, Classification, Coefficient of variation, Cognition, Cohen's kappa, Coherence (units of measurement), Colorimetry, Concatenation, Constructivism (philosophy of science), Dempster–Shafer theory, Dependent and independent variables, Deviation (statistics), Dichotomy, Division (mathematics), Electric charge, Element (mathematics), Energy, Equality (mathematics), Frederick Mosteller, Fuzzy set, Geometric mean, Georg Rasch, Grammar, Harmonic mean, Hume's principle, Inter-rater reliability, Interquartile range, Interrupt, IQ classification, John Tukey, Kelvin, Law of comparative judgment, Length, Logarithmic scale, Louis Leon Thurstone, Mass, Measurement, Median, Mode (statistics), Moment (mathematics), Nobel Prize, ... Expand index (49 more) »
- Statistical data types
Affine space
In mathematics, an affine space is a geometric structure that generalizes some of the properties of Euclidean spaces in such a way that these are independent of the concepts of distance and measure of angles, keeping only the properties related to parallelism and ratio of lengths for parallel line segments.
See Level of measurement and Affine space
Aggregate data
Aggregate data is high-level data which is acquired by combining individual-level data. Level of measurement and Aggregate data are statistical data types.
See Level of measurement and Aggregate data
American Psychologist
American Psychologist is a peer-reviewed academic journal published by the American Psychological Association.
See Level of measurement and American Psychologist
Analytic hierarchy process
In the theory of decision making, the analytic hierarchy process (AHP), also analytical hierarchy process, is a structured technique for organizing and analyzing complex decisions, based on mathematics and psychology.
See Level of measurement and Analytic hierarchy process
Angle
In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
See Level of measurement and Angle
Arithmetic mean
In mathematics and statistics, the arithmetic mean, arithmetic average, or just the mean or average (when the context is clear) is the sum of a collection of numbers divided by the count of numbers in the collection.
See Level of measurement and Arithmetic mean
Behavioural sciences
Behavioural sciences is a branch of science that explore the cognitive processes within organisms and the behavioural interactions that occur between organisms in the natural world. Level of measurement and behavioural sciences are cognitive science.
See Level of measurement and Behavioural sciences
British Science Association
The British Science Association (BSA) is a charity and learned society founded in 1831 to aid in the promotion and development of science.
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Celsius
The degree Celsius is the unit of temperature on the Celsius temperature scale "Celsius temperature scale, also called centigrade temperature scale, scale based on 0 ° for the melting point of water and 100 ° for the boiling point of water at 1 atm pressure." (originally known as the centigrade scale outside Sweden), one of two temperature scales used in the International System of Units (SI), the other being the closely related Kelvin scale.
See Level of measurement and Celsius
Central tendency
In statistics, a central tendency (or measure of central tendency) is a central or typical value for a probability distribution.
See Level of measurement and Central tendency
Classification
Classification is usually understood to mean the allocation of objects to certain pre-existing classes or categories.
See Level of measurement and Classification
Coefficient of variation
In probability theory and statistics, the coefficient of variation (CV), also known as normalized root-mean-square deviation (NRMSD), percent RMS, and relative standard deviation (RSD), is a standardized measure of dispersion of a probability distribution or frequency distribution.
See Level of measurement and Coefficient of variation
Cognition
Cognition is the "mental action or process of acquiring knowledge and understanding through thought, experience, and the senses". Level of measurement and Cognition are cognitive science.
See Level of measurement and Cognition
Cohen's kappa
Cohen's kappa coefficient (κ, lowercase Greek kappa) is a statistic that is used to measure inter-rater reliability (and also intra-rater reliability) for qualitative (categorical) items.
See Level of measurement and Cohen's kappa
Coherence (units of measurement)
A coherent system of units is a system of units of measurement used to express physical quantities that are defined in such a way that the equations relating the numerical values expressed in the units of the system have exactly the same form, including numerical factors, as the corresponding equations directly relating the quantities.
See Level of measurement and Coherence (units of measurement)
Colorimetry
Colorimetry is "the science and technology used to quantify and describe physically the human color perception". Level of measurement and Colorimetry are measurement.
See Level of measurement and Colorimetry
Concatenation
In formal language theory and computer programming, string concatenation is the operation of joining character strings end-to-end.
See Level of measurement and Concatenation
Constructivism (philosophy of science)
Constructivism is a view in the philosophy of science that maintains that scientific knowledge is constructed by the scientific community, which seeks to measure and construct models of the natural world.
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Dempster–Shafer theory
The theory of belief functions, also referred to as evidence theory or Dempster–Shafer theory (DST), is a general framework for reasoning with uncertainty, with understood connections to other frameworks such as probability, possibility and imprecise probability theories.
See Level of measurement and Dempster–Shafer theory
Dependent and independent variables
A variable is considered dependent if it depends on an independent variable.
See Level of measurement and Dependent and independent variables
Deviation (statistics)
In mathematics and statistics, deviation serves as a measure to quantify the disparity between an observed value of a variable and another designated value, frequently the mean of that variable.
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Dichotomy
A dichotomy is a partition of a whole (or a set) into two parts (subsets).
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Division (mathematics)
Division is one of the four basic operations of arithmetic.
See Level of measurement and Division (mathematics)
Electric charge
Electric charge (symbol q, sometimes Q) is the physical property of matter that causes it to experience a force when placed in an electromagnetic field.
See Level of measurement and Electric charge
Element (mathematics)
In mathematics, an element (or member) of a set is any one of the distinct objects that belong to that set.
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Energy
Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light.
See Level of measurement and Energy
Equality (mathematics)
In mathematics, equality is a relationship between two quantities or, more generally, two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.
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Frederick Mosteller
Charles Frederick Mosteller (December 24, 1916 – July 23, 2006) was an American mathematician, considered one of the most eminent statisticians of the 20th century.
See Level of measurement and Frederick Mosteller
Fuzzy set
In mathematics, fuzzy sets (also known as uncertain sets) are sets whose elements have degrees of membership.
See Level of measurement and Fuzzy set
Geometric mean
In mathematics, the geometric mean is a mean or average which indicates a central tendency of a finite set of real numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum).
See Level of measurement and Geometric mean
Georg Rasch
Georg William Rasch (21 September 1901 – 19 October 1980) was a Danish mathematician, statistician, and psychometrician, most famous for the development of a class of measurement models known as Rasch models.
See Level of measurement and Georg Rasch
Grammar
In linguistics, a grammar is the set of rules for how a natural language is structured, as demonstrated by its speakers or writers.
See Level of measurement and Grammar
Harmonic mean
In mathematics, the harmonic mean is one of several kinds of average, and in particular, one of the Pythagorean means.
See Level of measurement and Harmonic mean
Hume's principle
Hume's principle or HP says that the number of Fs is equal to the number of Gs if and only if there is a one-to-one correspondence (a bijection) between the Fs and the Gs.
See Level of measurement and Hume's principle
Inter-rater reliability
In statistics, inter-rater reliability (also called by various similar names, such as inter-rater agreement, inter-rater concordance, inter-observer reliability, inter-coder reliability, and so on) is the degree of agreement among independent observers who rate, code, or assess the same phenomenon. Level of measurement and inter-rater reliability are statistical data types.
See Level of measurement and Inter-rater reliability
Interquartile range
In descriptive statistics, the interquartile range (IQR) is a measure of statistical dispersion, which is the spread of the data.
See Level of measurement and Interquartile range
Interrupt
In digital computers, an interrupt (sometimes referred to as a trap) is a request for the processor to interrupt currently executing code (when permitted), so that the event can be processed in a timely manner.
See Level of measurement and Interrupt
IQ classification
IQ classification is the practice of categorizing human intelligence, as measured by intelligence quotient (IQ) tests, into categories such as "superior" or "average".
See Level of measurement and IQ classification
John Tukey
John Wilder Tukey (June 16, 1915 – July 26, 2000) was an American mathematician and statistician, best known for the development of the fast Fourier Transform (FFT) algorithm and box plot.
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Kelvin
The kelvin, symbol K, is the base unit of measurement for temperature in the International System of Units (SI).
See Level of measurement and Kelvin
Law of comparative judgment
The law of comparative judgment was conceived by L. L. Thurstone.
See Level of measurement and Law of comparative judgment
Length
Length is a measure of distance.
See Level of measurement and Length
Logarithmic scale
A logarithmic scale (or log scale) is a method used to display numerical data that spans a broad range of values, especially when there are significant differences between the magnitudes of the numbers involved.
See Level of measurement and Logarithmic scale
Louis Leon Thurstone
Louis Leon Thurstone (29 May 1887 – 29 September 1955) was an American pioneer in the fields of psychometrics and psychophysics.
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Mass
Mass is an intrinsic property of a body.
See Level of measurement and Mass
Measurement
Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events.
See Level of measurement and Measurement
The median of a set of numbers is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution.
See Level of measurement and Median
Mode (statistics)
In statistics, the mode is the value that appears most often in a set of data values.
See Level of measurement and Mode (statistics)
Moment (mathematics)
In mathematics, the moments of a function are certain quantitative measures related to the shape of the function's graph.
See Level of measurement and Moment (mathematics)
Nobel Prize
The Nobel Prizes (Nobelpriset; Nobelprisen) are five separate prizes awarded to those who, during the preceding year, have conferred the greatest benefit to humankind, as established by the 1895 will of Swedish chemist, engineer, and industrialist Alfred Nobel, in the year before he died.
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Norman Cliff
Norman Cliff (born September 1, 1930) is an American psychologist.
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Norman Robert Campbell
Norman Robert Campbell (1880–1949) was an English physicist and philosopher of science.
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Operation (mathematics)
In mathematics, an operation is a function which takes zero or more input values (also called "operands" or "arguments") to a well-defined output value.
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Operationalization
In research design, especially in psychology, social sciences, life sciences and physics, operationalization or operationalisation is a process of defining the measurement of a phenomenon which is not directly measurable, though its existence is inferred from other phenomena. Level of measurement and operationalization are scientific method.
See Level of measurement and Operationalization
Opinion
An opinion is a judgment, viewpoint, or statement that is not conclusive, rather than facts, which are true statements.
See Level of measurement and Opinion
Order of magnitude
An order of magnitude is an approximation of the logarithm of a value relative to some contextually understood reference value, usually 10, interpreted as the base of the logarithm and the representative of values of magnitude one.
See Level of measurement and Order of magnitude
Orders of magnitude (temperature)
Most ordinary human activity takes place at temperatures of this order of magnitude.
See Level of measurement and Orders of magnitude (temperature)
Origin (mathematics)
In mathematics, the origin of a Euclidean space is a special point, usually denoted by the letter O, used as a fixed point of reference for the geometry of the surrounding space.
See Level of measurement and Origin (mathematics)
Otto Hölder
Ludwig Otto Hölder (December 22, 1859 – August 29, 1937) was a German mathematician born in Stuttgart.
See Level of measurement and Otto Hölder
Part of speech
In grammar, a part of speech or part-of-speech (abbreviated as POS or PoS, also known as word class or grammatical category) is a category of words (or, more generally, of lexical items) that have similar grammatical properties.
See Level of measurement and Part of speech
Percy Williams Bridgman
Percy Williams Bridgman (April 21, 1882 – August 20, 1961) was an American physicist who received the 1946 Nobel Prize in Physics for his work on the physics of high pressures.
See Level of measurement and Percy Williams Bridgman
Power projection
Power projection (or force projection or strength projection) in international relations is the capacity of a state to deploy and sustain forces outside its territory.
See Level of measurement and Power projection
Prima facie
Prima facie is a Latin expression meaning "at first sight", or "based on first impression".
See Level of measurement and Prima facie
Psychology
Psychology is the scientific study of mind and behavior.
See Level of measurement and Psychology
Psychometrics
Psychometrics is a field of study within psychology concerned with the theory and technique of measurement.
See Level of measurement and Psychometrics
Qualitative property
Qualitative properties are properties that are observed and can generally not be measured with a numerical result. Level of measurement and Qualitative property are measurement.
See Level of measurement and Qualitative property
Qualitative variation
An index of qualitative variation (IQV) is a measure of statistical dispersion in nominal distributions.
See Level of measurement and Qualitative variation
Quantitative research
Quantitative research is a research strategy that focuses on quantifying the collection and analysis of data. Level of measurement and Quantitative research are measurement.
See Level of measurement and Quantitative research
Questionnaire
A questionnaire is a research instrument that consists of a set of questions (or other types of prompts) for the purpose of gathering information from respondents through survey or statistical study.
See Level of measurement and Questionnaire
R. Duncan Luce
Robert Duncan Luce (May 16, 1925 – August 11, 2012) was an American mathematician and social scientist, and one of the most preeminent figures in the field of mathematical psychology.
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Ramsey–Lewis method
The Ramsey–Lewis method is a method for defining terms found in theoretical frameworks (such as in scientific theories), credited to mathematician Frank P. Ramsey and philosopher David K. Lewis.
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Range (statistics)
In descriptive statistics, the range of a set of data is size of the narrowest interval which contains all the data.
See Level of measurement and Range (statistics)
Ranking
A ranking is a relationship between a set of items, often recorded in a list, such that, for any two items, the first is either "ranked higher than", "ranked lower than", or "ranked equal to" the second.
See Level of measurement and Ranking
Rasch model
The Rasch model, named after Georg Rasch, is a psychometric model for analyzing categorical data, such as answers to questions on a reading assessment or questionnaire responses, as a function of the trade-off between the respondent's abilities, attitudes, or personality traits, and the item difficulty.
See Level of measurement and Rasch model
Ratio
In mathematics, a ratio shows how many times one number contains another.
See Level of measurement and Ratio
Scale of temperature
Scale of temperature is a methodology of calibrating the physical quantity temperature in metrology.
See Level of measurement and Scale of temperature
Science (journal)
Science, also widely referred to as Science Magazine, is the peer-reviewed academic journal of the American Association for the Advancement of Science (AAAS) and one of the world's top academic journals.
See Level of measurement and Science (journal)
Set theory
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.
See Level of measurement and Set theory
Software engineering
Software engineering is an engineering approach to software development.
See Level of measurement and Software engineering
Sone
The sone is a unit of loudness, the subjective perception of sound pressure.
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Sorting
Sorting refers to ordering data in an increasing or decreasing manner according to some linear relationship among the data items.
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SPSS
SPSS Statistics is a statistical software suite developed by IBM for data management, advanced analytics, multivariate analysis, business intelligence, and criminal investigation.
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Standard deviation
In statistics, the standard deviation is a measure of the amount of variation of a random variable expected about its mean.
See Level of measurement and Standard deviation
Standardized moment
In probability theory and statistics, a standardized moment of a probability distribution is a moment (often a higher degree central moment) that is normalized, typically by a power of the standard deviation, rendering the moment scale invariant.
See Level of measurement and Standardized moment
Stanley Smith Stevens
Stanley Smith Stevens (November 4, 1906 – January 18, 1973) was an American psychologist who founded Harvard's Psycho-Acoustic Laboratory, studying psychoacoustics, and he is credited with the introduction of Stevens's power law.
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Statistical data type
In statistics, groups of individual data points may be classified as belonging to any of various statistical data types, e.g. categorical ("red", "blue", "green"), real number, odd number (1,3,5) etc. Level of measurement and statistical data type are statistical data types.
See Level of measurement and Statistical data type
Studentized range
In statistics, the studentized range, denoted q, is the difference between the largest and smallest data in a sample normalized by the sample standard deviation.
See Level of measurement and Studentized range
Taxonomic rank
In biology, taxonomic rank is the relative level of a group of organisms (a taxon) in an ancestral or hereditary hierarchy.
See Level of measurement and Taxonomic rank
Taylor & Francis
Taylor & Francis Group is an international company originating in England that publishes books and academic journals.
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The Logic of Modern Physics
The Logic of Modern Physics is a 1927 philosophy of science book by American physicist and Nobel laureate Percy Williams Bridgman.
See Level of measurement and The Logic of Modern Physics
Theory of conjoint measurement
The theory of conjoint measurement (also known as conjoint measurement or additive conjoint measurement) is a general, formal theory of continuous quantity.
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Time
Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, and into the future.
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Transaction Publishers
Transaction Publishers was a New Jersey-based publishing house that specialized in social science books and journals.
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Transition (linguistics)
A transition or linking word is a word or phrase that shows the relationship between paragraphs or sections of a text or speech.
See Level of measurement and Transition (linguistics)
Triviality (mathematics)
In mathematics, the adjective trivial is often used to refer to a claim or a case which can be readily obtained from context, or an object which possesses a simple structure (e.g., groups, topological spaces).
See Level of measurement and Triviality (mathematics)
Truth value
In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth, which in classical logic has only two possible values (true or false).
See Level of measurement and Truth value
Unit of measurement
A unit of measurement, or unit of measure, is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
See Level of measurement and Unit of measurement
Universally unique identifier
A Universally Unique Identifier (UUID) is a 128-bit label used for information in computer systems.
See Level of measurement and Universally unique identifier
Validity (logic)
In logic, specifically in deductive reasoning, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false.
See Level of measurement and Validity (logic)
See also
Statistical data types
- Aggregate data
- Binary data
- Bivariate data
- Categorical data
- Categorical variable
- Censoring (statistics)
- Compositional data
- Count data
- Cross-sectional data
- Directional statistics
- Distributional data analysis
- Functional data analysis
- Historiometry
- Inherent zero
- Inter-rater reliability
- Level of measurement
- Life table
- Longitudinal study
- Mark and recapture
- Mean-field particle methods
- Missing data
- Multidimensional panel data
- Nominal category
- Observational study
- Ordinal data
- Paired data
- Panel data
- Point process
- Quantitative psychological research
- Rankings
- Spatial analysis
- Statistical classification
- Statistical data type
- Statistical shape analysis
- Stochastic process
- Surrogate data
- Synthetic data
- Time series
- Truncation (statistics)
- Unit of observation
- Variable and attribute (research)
- Wide and narrow data
References
[1] https://en.wikipedia.org/wiki/Level_of_measurement
Also known as Categorical rating, Categorical-valued, Classification scale, Comparative scaling, Interval data, Interval measurement, Interval scale, Interval variable, Levels of measurement, Nominal data, Nominal distribution, Nominal distributions, Nominal measurement, Nominal scale, Nominal scales, Nominal variable, Noncomparative scaling, Numeric data, Numerical Data, Ordinal classification, Ordinal level, Ordinal measurement, Ordinal order, Rank order scale, Ratio data, Ratio measurement, Scale (measurement), Scale of measure, Scale of measurement, Scales of measure, Scales of measurement, Statistical levels of measurement.
, Norman Cliff, Norman Robert Campbell, Operation (mathematics), Operationalization, Opinion, Order of magnitude, Orders of magnitude (temperature), Origin (mathematics), Otto Hölder, Part of speech, Percy Williams Bridgman, Power projection, Prima facie, Psychology, Psychometrics, Qualitative property, Qualitative variation, Quantitative research, Questionnaire, R. Duncan Luce, Ramsey–Lewis method, Range (statistics), Ranking, Rasch model, Ratio, Scale of temperature, Science (journal), Set theory, Software engineering, Sone, Sorting, SPSS, Standard deviation, Standardized moment, Stanley Smith Stevens, Statistical data type, Studentized range, Taxonomic rank, Taylor & Francis, The Logic of Modern Physics, Theory of conjoint measurement, Time, Transaction Publishers, Transition (linguistics), Triviality (mathematics), Truth value, Unit of measurement, Universally unique identifier, Validity (logic).