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  2. Rule of twelfths - Wikipedia

    en.wikipedia.org/wiki/Rule_of_twelfths

    Then in the second period by 2/12, in the third by 3/12, in the fourth by 3/12, fifth by 2/12 and at the end of the sixth period reaches its maximum with an increase of 1/12. The steps are 1:2:3:3:2:1 giving a total change of 12/12. Over the next six intervals the quantity reduces in a similar manner by 1, 2, 3, 3, 2, 1 twelfths.

  3. Proportional reasoning - Wikipedia

    en.wikipedia.org/wiki/Proportional_reasoning

    In Piaget's model of intellectual development, the fourth and final stage is the formal operational stage.In the classic book "The Growth of Logical Thinking from Childhood to Adolescence" by Jean Piaget and Bärbel Inhelder formal operational reasoning takes many forms, including propositional reasoning, deductive logic, separation and control of variables, combinatorial reasoning, and ...

  4. Dunning–Kruger effect - Wikipedia

    en.wikipedia.org/wiki/Dunning–Kruger_effect

    A further explanation, sometimes given by theorists with an economic background, focuses on the fact that participants in the corresponding studies lack incentive to give accurate self-assessments. [ 47 ] [ 48 ] In such cases, intellectual laziness or a desire to look good to the experimenter may motivate participants to give overly positive ...

  5. Inductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Inductive_reasoning

    Inductive reasoning refers to a variety of methods of reasoning in which broad generalizations or principles are derived from a set of observations. [1] [2] Unlike deductive reasoning (such as mathematical induction), where the conclusion is certain, given the premises are correct, inductive reasoning produces conclusions that are at best probable, given the evidence provided.

  6. Planning fallacy - Wikipedia

    en.wikipedia.org/wiki/Planning_fallacy

    The planning fallacy is a phenomenon in which predictions about how much time will be needed to complete a future task display an optimism bias and underestimate the time needed. This phenomenon sometimes occurs regardless of the individual's knowledge that past tasks of a similar nature have taken longer to complete than generally planned.

  7. Confounding - Wikipedia

    en.wikipedia.org/wiki/Confounding

    Confounding is defined in terms of the data generating model. Let X be some independent variable, and Y some dependent variable.To estimate the effect of X on Y, the statistician must suppress the effects of extraneous variables that influence both X and Y.

  8. Brier score - Wikipedia

    en.wikipedia.org/wiki/Brier_score

    Therefore, the lower the Brier score is for a set of predictions, the better the predictions are calibrated. Note that the Brier score, in its most common formulation, takes on a value between zero and one, since this is the square of the largest possible difference between a predicted probability (which must be between zero and one) and the ...

  9. Explanation - Wikipedia

    en.wikipedia.org/wiki/Explanation

    The term explanation is sometimes used in the context of justification, e.g., the explanation as to why a belief is true. Justification may be understood as the explanation as to why a belief is a true one or an account of how one knows what one knows. It is important to be aware when an explanation is not a justification.

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