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In set theory, a dichotomous relation R is such that either aRb, bRa, but not both. [1] A false dichotomy is an informal fallacy consisting of a supposed dichotomy which fails one or both of the conditions: it is not jointly exhaustive and/or not mutually exclusive. In its most common form, two entities are presented as if they are exhaustive ...
Examples of closed-ended questions that may elicit a "yes" or "no" response include: Were you born in 2010? Is Lyon the capital of France? Did you steal the money? Similarly, variants of the above closed-ended questions that possess specific responses are: On what day were you born? ("Saturday.") What is the capital of France? ("Paris.")
It is possible, for example, to have a high KR-20 with a multidimensional scale, especially with a large number of items. Values can range from 0.00 to 1.00 (sometimes expressed as 0 to 100), with high values indicating that the examination is likely to correlate with alternate forms (a desirable characteristic).
A specific case of biserial correlation occurs where X is the sum of a number of dichotomous variables of which Y is one. An example of this is where X is a person's total score on a test composed of n dichotomously scored items. A statistic of interest (which is a discrimination index) is the correlation between responses to a given item and ...
Nominal measurement may differentiate between items or subjects based only on their names or (meta-)categories and other qualitative classifications they belong to. Thus it has been argued that even dichotomous data relies on a constructivist epistemology. In this case, discovery of an exception to a classification can be viewed as progress.
It is also called dichotomous data, and an older term is quantal data. [1] The two values are often referred to generically as "success" and "failure". [ 1 ] As a form of categorical data, binary data is nominal data , meaning the values are qualitatively different and cannot be compared numerically.
A well-known example is binary search. [ 3 ] Abstractly, a dichotomic search can be viewed as following edges of an implicit binary tree structure until it reaches a leaf (a goal or final state).
Historically, the most common type of identification key is the dichotomous key, a type of single-access key which offers a fixed sequence of identification steps, each with two alternatives. The earliest examples of identification keys originate in the seventeenth, but their conceptual history can be traced back to antiquity.