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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. [1] [2] Indices – also known as indexes and composite indicators – summarize and rank specific observations. [2]
Index numbers are used especially to compare business activity, the cost of living, and employment. They enable economists to reduce unwieldy business data into easily understood terms. In contrast to a cost-of-living index based on the true but unknown utility function, a superlative index number is an index number that can be calculated. [1]
For example, you may pronounce cot and caught the same, do and dew, or marry and merry. This often happens because of dialect variation (see our articles English phonology and International Phonetic Alphabet chart for English dialects). If this is the case, you will pronounce those symbols the same for other words as well. [1]
In statistics, an effect size is a value measuring the strength of the relationship between two variables in a population, or a sample-based estimate of that quantity. It can refer to the value of a statistic calculated from a sample of data, the value of one parameter for a hypothetical population, or to the equation that operationalizes how statistics or parameters lead to the effect size ...
Greek letters (e.g. θ, β) are commonly used to denote unknown parameters (population parameters). [3]A tilde (~) denotes "has the probability distribution of". Placing a hat, or caret (also known as a circumflex), over a true parameter denotes an estimator of it, e.g., ^ is an estimator for .
The index is known by several other names, especially Sørensen–Dice index, [3] Sørensen index and Dice's coefficient. Other variations include the "similarity coefficient" or "index", such as Dice similarity coefficient ( DSC ).
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A Likert scale (/ ˈ l ɪ k ər t / LIK-ərt, [1] [note 1]) is a psychometric scale named after its inventor, American social psychologist Rensis Likert, [2] which is commonly used in research questionnaires.