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600	"Fallacies" An ecological fallacy is committed when one draws an inference from data based on the premise that qualities observed for groups necessarily hold for individuals; for example, "if countries with more Protestants tend to have higher suicide rates, then Protestants must be more likely to commit suicide." [23]...
601	"Fallacies" [24] For a given fallacy, one must either characterize it by means of a deductive argumentation scheme, which rarely applies (the first prong of the fork), or one must relax definitions and add nuance to take the actual intent and context of the argument into account (the other prong of the fork). [24] To a...
602	"Fallacies" [6] A deductive argument containing an informal fallacy may be formally valid, [4] but still remain rationally unpersuasive. Nevertheless, informal fallacies apply to both deductive and non-deductive arguments. Though the form of the argument may be relevant, fallacies of this type are the "types of mistake...
603	"Fallacies" With the backing of sufficient amounts of the right type of empirical evidence, however, the conclusions may become warranted and convincing (at which point the arguments are no longer considered fallacious). [27] Hasty generalization is described as making assumptions about a whole group or range of cases ...
604	"Fallacies" This is because with enough empirical evidence, the generalization is no longer a hasty one. The fallacies of relevance are a broad class of informal fallacies, generically represented by missing the point: presenting an argument, which may be sound, but fails to address the issue in question. An argument f...
605	"Fallacies" Sometimes one event really does cause another one that comes later—for example, if one registers for a class, and their name later appears on the roll, it's true that the first event caused the one that came later. But sometimes two events that seem related in time are not really related as cause and event....
606	"Fallacies" A slippery slope argument originates from a conversation or debate in which two actors take turns. It usually originates from one actor giving advice on a decision or act. Along the way, the actor must make additional choices on similar matters through which the actor enters the ‘grey area’ of the slippery ...
607	"Fallacies" Slippery slope arguments may be defeated by asking critical questions or giving counterarguments. [29] There are several reasons for a slippery slope to be fallacious: for example, the argument is going too far into the future, it is a too complex argument and its structure is hard to identify or the argume...
608	"Fallacies" [32] Such an argument involves two arguers, with one actor criticizing the perspective of the other. [33] The reason for the straw man argument to be fallacious originates from the problem of how to deal with natural discourse. The opponent’s argument is not reflected by the arguments that are proposed by t...
609	"Fallacies" [35] [36] This history helps explain why measurement fallacies are informed by informal logic and argumentation theory. The increasing availability and circulation of big data are driving a proliferation of new metrics for scholarly authority, [37] [38] and there is lively discussion regarding the relative ...
610	"Fallacies" [41] To the extent that arguers jettison acknowledged limitations of JIF-generated data in evaluative judgments, or leave behind Garfield's "supplement rather than replace" caveat, they court commission of anchoring fallacies. A naturalistic fallacy can occur for example in the case of sheer quantity metric...
611	"Fallacies" [37] Hence, measurement-based value claims premised on the uniform quality of all citations may be questioned on false analogy grounds. As another example, consider the Faculty Scholarly Productivity Index of Academic Analytics. This tool purports to measure overall faculty productivity, yet it does not cap...
612	"Fallacies" "Hispanic" faculty). [43] Sometimes a speaker or writer uses a fallacy intentionally. In any context, including academic debate, a conversation among friends, political discourse, advertising, or for comedic purposes, the arguer may use fallacious reasoning to try to persuade the listener or reader, by mean...
613	"Fallacies" [45] When someone uses logical fallacies intentionally to mislead in academic, political, or other high-stakes contexts, the breach of trust calls into question the authority and intellectual integrity of that person. [46] According to the pragmatic theory, [47] a fallacy can be either a heuristic error or ...
614	"Fallacies" A dialogue has individual goals for each participant, but also shared goals that apply to all participants. A fallacy of the second kind is seen as more than simply violation of a rule of reasonable dialogue. It is also a deceptive tactic of argumentation, based on sleight-of-hand. Aristotle explicitly comp...
615	"Paradox" A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. [1] [2] It is a statement that, despite apparently valid reasoning from true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion. [3] [4] A paradox usually involve...
616	"Paradox" One example is Russell's paradox, which questions whether a "list of all lists that do not contain themselves" would include itself, and showed that attempts to found set theory on the identification of sets with properties or predicates were flawed. [10] [11] Others, such as Curry's paradox, cannot be easily...
617	"Paradox" For example, M.C. Escher featured perspective-based paradoxes in many of his drawings, with walls that are regarded as floors from other points of view, and staircases that appear to climb endlessly. [14] In common usage, the word "paradox" often refers to statements that are ironic or unexpected, such as "th...
618	"Paradox" (A father and his son are in a car crash; the father is killed and the boy is rushed to the hospital. The doctor says, "I can't operate on this boy. He's my son." There is no paradox, the doctor is the boy's mother. This is an example of a howler.) Paradoxes that are not based on a hidden error generally occu...
619	"Paradox" "This sentence is false" is an example of the well-known liar paradox: it is a sentence that cannot be consistently interpreted as either true or false, because if it is known to be false, then it can be inferred that it must be true, and if it is known to be true, then it can be inferred that it must be fals...
620	"Paradox" The grandfather paradox, for example, would arise if a time-traveler were to kill his own grandfather before his mother or father had been conceived, thereby preventing his own birth. [17] This is a specific example of the more general observation of the butterfly effect, or that a time-traveller's interactio...
621	"Paradox" W. V. O. Quine (1962) distinguished between three classes of paradoxes: [18] [19] According to Quine's classification of paradoxes: A fourth kind, which may be alternatively interpreted as a special case of the third kind, has sometimes been described since Quine's work: Frank Ramsey drew a distinction betwee...
622	"Paradox" Semantical contradictions involve, besides purely logical terms, notions like thought, language, and symbolism, which, according to Ramsey, are empirical (not formal) terms. Hence these contradictions are due to faulty ideas about thought or language, and they properly belong to epistemology. [24] A taste for...
623	"Paradox" But the ultimate potentiation of every passion is always to will its own downfall, and so it is also the ultimate passion of the understanding to will the collision, although in one way or another the collision must become its downfall. This, then, is the ultimate paradox of thought: to want to discover somet...
624	"Paradox" [26] The actions of antibodies on antigens can rarely take paradoxical turns in certain ways. One example is antibody-dependent enhancement (immune enhancement) of a disease's virulence; another is the hook effect (prozone effect), of which there are several types. However, neither of these problems is common...
625	"Probability" Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty....
626	"Probability" These concepts have been given an axiomatic mathematical formalization in probability theory, which is used widely in areas of study such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy to, for example, draw i...
627	"Probability" For example, tossing a coin twice will yield "head-head", "head-tail", "tail-head", and "tail-tail" outcomes. The probability of getting an outcome of "head-head" is 1 out of 4 outcomes, or, in numerical terms, 1/4, 0.25 or 25%. However, when it comes to practical application, there are two major competin...
628	"Probability" [10] The scientific study of probability is a modern development of mathematics. Gambling shows that there has been an interest in quantifying the ideas of probability for millennia, but exact mathematical descriptions arose much later. There are reasons for the slow development of the mathematics of prob...
629	"Probability" A probable action or opinion was one such as sensible people would undertake or hold, in the circumstances." [12] However, in legal contexts especially, 'probable' could also apply to propositions for which there was good evidence. [13] The sixteenth-century Italian polymath Gerolamo Cardano demonstrated ...
630	"Probability" Christiaan Huygens (1657) gave the earliest known scientific treatment of the subject. [15] Jakob Bernoulli 's Ars Conjectandi (posthumous, 1713) and Abraham de Moivre 's Doctrine of Chances (1718) treated the subject as a branch of mathematics. [16] See Ian Hacking 's The Emergence of Probability [10] an...
631	"Probability" [18] The reprint (1757) of this memoir lays down the axioms that positive and negative errors are equally probable, and that certain assignable limits define the range of all errors. Simpson also discusses continuous errors and describes a probability curve. The first two laws of error that were proposed ...
632	"Probability" [19] The second law of error is called the normal distribution or the Gauss law. "It is difficult historically to attribute that law to Gauss, who in spite of his well-known precocity had probably not made this discovery before he was two years old." [19] Daniel Bernoulli (1778) introduced the principle o...
633	"Probability" He gave two proofs, the second being essentially the same as John Herschel 's (1850). [ citation needed ] Gauss gave the first proof that seems to have been known in Europe (the third after Adrain's) in 1809. Further proofs were given by Laplace (1810, 1812), Gauss (1823), James Ivory (1825, 1826), Hagen ...
634	"Probability" Augustus De Morgan and George Boole improved the exposition of the theory. In 1906, Andrey Markov introduced [21] the notion of Markov chains, which played an important role in stochastic processes theory and its applications. The modern theory of probability based on the measure theory was developed by A...
635	"Probability" These formal terms are manipulated by the rules of mathematics and logic, and any results are interpreted or translated back into the problem domain. There have been at least two successful attempts to formalize probability, namely the Kolmogorov formulation and the Cox formulation. In Kolmogorov's formul...
636	"Probability" There are other methods for quantifying uncertainty, such as the Dempster–Shafer theory or possibility theory, but those are essentially different and not compatible with the usually-understood laws of probability. Probability theory is applied in everyday life in risk assessment and modeling. The insuran...
637	"Probability" An assessment by a commodity trader that a war is more likely can send that commodity's prices up or down, and signals other traders of that opinion. Accordingly, the probabilities are neither assessed independently nor necessarily rationally. The theory of behavioral finance emerged to describe the effec...
638	"Probability" Probability is used to design games of chance so that casinos can make a guaranteed profit, yet provide payouts to players that are frequent enough to encourage continued play. [25] Another significant application of probability theory in everyday life is reliability. Many consumer products, such as autom...
639	"Probability" The collection of all possible results is called the sample space of the experiment, sometimes denoted as Ω {\displaystyle \Omega }. The power set of the sample space is formed by considering all different collections of possible results. For example, rolling a die can produce six possible results. One co...
640	"Probability" A probability is a way of assigning every event a value between zero and one, with the requirement that the event made up of all possible results (in our example, the event {1,2,3,4,5,6}) is assigned a value of one. To qualify as a probability, the assignment of values must satisfy the requirement that fo...
641	"Probability" [29] This mathematical definition of probability can extend to infinite sample spaces, and even uncountable sample spaces, using the concept of a measure. The opposite or complement of an event A is the event [not A ] (that is, the event of A not occurring), often denoted as A ′, A c {\displaystyle A',A^{...
642	"Probability" For a more comprehensive treatment, see Complementary event. If two events A and B occur on a single performance of an experiment, this is called the intersection or joint probability of A and B, denoted as P ( A ∩ B ) {\displaystyle P(A\cap B)}. If two events, A and B are independent then the joint proba...
643	"Probability" If two events are mutually exclusive, then the probability of both occurring is denoted as P ( A ∩ B ) {\displaystyle P(A\cap B)} and If two events are mutually exclusive, then the probability of either occurring is denoted as P ( A ∪ B ) {\displaystyle P(A\cup B)} and For example, the chance of rolling a...
644	"Probability" Conditional probability is the probability of some event A, given the occurrence of some other event B. Conditional probability is written P ( A ∣ B ) {\displaystyle P(A\mid B)}, and is read "the probability of A, given B ". It is defined by [32] If P ( B ) = 0 {\displaystyle P(B)=0} then P ( A ∣ B ) {\di...
645	"Probability" However, it is possible to define a conditional probability for some zero-probability events using a σ-algebra of such events (such as those arising from a continuous random variable ). [33] For example, in a bag of 2 red balls and 2 blue balls (4 balls in total), the probability of taking a red ball is 1...
646	"Probability" And if a blue ball was taken previously, the probability of taking a red ball will be 2 / 3 {\displaystyle 2/3}. In probability theory and applications, Bayes' rule relates the odds of event A 1 {\displaystyle A_{1}} to event A 2 {\displaystyle A_{2}}, before (prior to) and after (posterior to) conditioni...
647	"Probability" In this form it goes back to Laplace (1774) and to Cournot (1843); see Fienberg (2005). See Inverse probability and Bayes' rule. In a deterministic universe, based on Newtonian concepts, there would be no probability if all conditions were known ( Laplace's demon ), (but there are situations in which sens...
648	"Probability" Bass' Newtonian Casino revealed). This also assumes knowledge of inertia and friction of the wheel, weight, smoothness, and roundness of the ball, variations in hand speed during the turning, and so forth. A probabilistic description can thus be more useful than Newtonian mechanics for analyzing the patte...
649	"Probability" Probability theory is required to describe quantum phenomena. [34] A revolutionary discovery of early 20th century physics was the random character of all physical processes that occur at sub-atomic scales and are governed by the laws of quantum mechanics. The objective wave function evolves deterministic...
650	"Causality" Causality (also referred to as causation, or cause and effect ) is influence by which one event, process, state, or object ( a cause ) contributes to the production of another event, process, state, or object (an effect ) where the cause is partly responsible for the effect, and the effect is partly depende...
651	"Causality" Some writers have held that causality is metaphysically prior to notions of time and space. [2] [3] [4] Causality is an abstraction that indicates how the world progresses, [5] so basic a concept that it is more apt as an explanation of other concepts of progression than as something to be explained by othe...
652	"Causality" Aristotle categorized the four types of answers as material, formal, efficient, and final "causes". In this case, the "cause" is the explanans for the explanandum, and failure to recognize that different kinds of "cause" are being considered can lead to futile debate. Of Aristotle's four explanatory modes, ...
653	"Causality" The nature of cause and effect is a concern of the subject known as metaphysics. Kant thought that time and space were notions prior to human understanding of the progress or evolution of the world, and he also recognized the priority of causality. But he did not have the understanding that came with knowle...
654	"Causality" One viewpoint on this question is that cause and effect are of one and the same kind of entity, with causality an asymmetric relation between them. That is to say, it would make good sense grammatically to say either " A is the cause and B the effect" or " B is the cause and A the effect", though only one o...
655	"Causality" Another view is that causes and effects are 'states of affairs', with the exact natures of those entities being less restrictively defined than in process philosophy. [9] Another viewpoint on the question is the more classical one, that a cause and its effect can be of different kinds of entity. For example...
656	"Causality" Since causality is a subtle metaphysical notion, considerable intellectual effort, along with exhibition of evidence, is needed to establish knowledge of it in particular empirical circumstances. According to David Hume, the human mind is unable to perceive causal relations directly. On this ground, the sch...
657	"Causality" Having an epistemic concept of causality is needed to distinguish between causal and noncausal relations. The contemporary philosophical literature on causality can be divided into five big approaches to causality. These include the (mentioned above) regularity, probabilistic, counterfactual, mechanistic, a...
658	"Causality" [12] [13] These are topological, and are ingredients for space-time geometry. As developed by Alfred Robb, these properties allow the derivation of the notions of time and space. [14] Max Jammer writes "the Einstein postulate... opens the way to a straightforward construction of the causal topology... of Mi...
659	"Causality" The deterministic world-view holds that the history of the universe can be exhaustively represented as a progression of events following one after as cause and effect. [13] The incompatibilist version of this holds that there is no such thing as " free will ". Compatibilism, on the other hand, holds that de...
660	"Causality" J. L. Mackie argues that usual talk of "cause" in fact refers to INUS conditions ( i nsufficient but n on-redundant parts of a condition which is itself u nnecessary but s ufficient for the occurrence of the effect). [21] An example is a short circuit as a cause for a house burning down. Consider the collec...
661	"Causality" Within this collection, the short circuit is an insufficient (since the short circuit by itself would not have caused the fire) but non-redundant (because the fire would not have happened without it, everything else being equal) part of a condition which is itself unnecessary but sufficient for the occurren...
662	"Causality" Confusion commonly arises since many different statements in English may be presented using "If..., then..." form (and, arguably, because this form is far more commonly used to make a statement of causality). The two types of statements are distinct, however. For example, all of the following statements are...
663	"Causality" For instance, although the first is the closest, neither of the preceding two statements seems true as an ordinary indicative reading. But the sentence: intuitively seems to be true, even though there is no straightforward causal relation in this hypothetical situation between Shakespeare's not writing Macb...
664	"Causality" The property of having three sides actually determines A's state as a triangle. Nonetheless, even when interpreted counterfactually, the first statement is true. An early version of Aristotle's "four cause" theory is described as recognizing "essential cause". In this version of the theory, that the closed ...
665	"Causality" In everyday language, loose conditional statements are often enough made, and need to be interpreted carefully. Fallacies of questionable cause, also known as causal fallacies, non-causa pro causa (Latin for "non-cause for cause"), or false cause, are informal fallacies where a cause is incorrectly identifi...
666	"Causality" [23] More full-fledged analysis of causation in terms of counterfactual conditionals only came in the 20th century after development of the possible world semantics for the evaluation of counterfactual conditionals. In his 1973 paper "Causation," David Lewis proposed the following definition of the notion o...
667	"Causality" If correct, the analysis has the power to explain certain features of causation. Knowing that causation is a matter of counterfactual dependence, we may reflect on the nature of counterfactual dependence to account for the nature of causation. For example, in his paper "Counterfactual Dependence and Time's ...
668	"Causality" In this sense, war does not cause deaths, nor does smoking cause cancer or emphysema. As a result, many turn to a notion of probabilistic causation. Informally, A ("The person is a smoker") probabilistically causes B ("The person has now or will have cancer at some time in the future"), if the information t...
669	"Causality" This intuitive condition is not adequate as a definition for probabilistic causation because of its being too general and thus not meeting our intuitive notion of cause and effect. For example, if A denotes the event "The person is a smoker," B denotes the event "The person now has or will have cancer at so...
670	"Causality" The last relationship states that knowing that the person has emphysema increases the likelihood that he will have cancer. The reason for this is that having the information that the person has emphysema increases the likelihood that the person is a smoker, thus indirectly increasing the likelihood that the...
671	"Causality" [ citation needed ] When experimental interventions are infeasible or illegal, the derivation of a cause-and-effect relationship from observational studies must rest on some qualitative theoretical assumptions, for example, that symptoms do not cause diseases, usually expressed in the form of missing arrows...
672	"Causality" The former reads: "the probability of finding cancer in a person known to smoke, having started, unforced by the experimenter, to do so at an unspecified time in the past", while the latter reads: "the probability of finding cancer in a person forced by the experimenter to smoke at a specified time in the p...
673	"Causality" [ vague ] In classical thermodynamics, processes are initiated by interventions called thermodynamic operations. In other branches of science, for example astronomy, the experimenter can often observe with negligible intervention. The theory of "causal calculus" [26] (also known as do-calculus, Judea Pearl ...
674	"Causality" This criterion, called "backdoor", provides a mathematical definition of "confounding" and helps researchers identify accessible sets of variables worthy of measurement. While derivations in causal calculus rely on the structure of the causal graph, parts of the causal structure can, under certain assumptio...
675	"Causality" Type 3, however, can be uniquely identified, since X {\displaystyle X} and Z {\displaystyle Z} are marginally independent and all other pairs are dependent. Thus, while the skeletons (the graphs stripped of arrows) of these three triplets are identical, the directionality of the arrows is partially identifi...
676	"Causality" In general this leaves a set of possible causal relations, which should then be tested by analyzing time series data or, preferably, designing appropriately controlled experiments. In contrast with Bayesian Networks, path analysis (and its generalization, structural equation modeling ), serve better to esti...
677	"Causality" The use of temporal data can permit statistical tests of a pre-existing theory of causal direction. For instance, our degree of confidence in the direction and nature of causality is much greater when supported by cross-correlations, ARIMA models, or cross-spectral analysis using vector time series data tha...
678	"Causality" So, given a system of equations, and a set of variables appearing in these equations, we can introduce an asymmetric relation among individual equations and variables that corresponds perfectly to our commonsense notion of a causal ordering. The system of equations must have certain properties, most importa...
679	"Causality" [33] [34] [35] [36] Under these theories, x causes y only in the case that one can change x in order to change y. This coincides with commonsense notions of causations, since often we ask causal questions in order to change some feature of the world. For instance, we are interested in knowing the causes of ...
680	"Causality" The second criticism centers around concerns of anthropocentrism. It seems to many people that causality is some existing relationship in the world that we can harness for our desires. If causality is identified with our manipulation, then this intuition is lost. In this sense, it makes humans overly centra...
681	"Causality" [38] [39] These theorists often want to distinguish between a process and a pseudo-process. As an example, a ball moving through the air (a process) is contrasted with the motion of a shadow (a pseudo-process). The former is causal in nature while the latter is not. Salmon (1984) [38] claims that causal pro...
682	"Causality" These theorists claim that the important concept for understanding causality is not causal relationships or causal interactions, but rather identifying causal processes. The former notions can then be defined in terms of causal processes. A subgroup of the process theories is the mechanistic view on causali...
683	"Causality" Within the conceptual frame of the scientific method, an investigator sets up several distinct and contrasting temporally transient material processes that have the structure of experiments, and records candidate material responses, normally intending to determine causality in the physical world. [41] For i...
684	"Causality" For example, instances of the hypothesized cause must be set up to occur at a time when the hypothesized effect is relatively unlikely in the absence of the hypothesized cause; such unlikelihood is to be established by empirical evidence. A mere observation of a correlation is not nearly adequate to establi...
685	"Causality" One has to be careful in the use of the word cause in physics. Properly speaking, the hypothesized cause and the hypothesized effect are each temporally transient processes. For example, force is a useful concept for the explanation of acceleration, but force is not by itself a cause. More is needed. For ex...
686	"Causality" a cause always precedes its effect). This constraint has mathematical implications [42] such as the Kramers-Kronig relations. Causality is one of the most fundamental and essential notions of physics. [43] Causal efficacy cannot 'propagate' faster than light. Otherwise, reference coordinate systems could be...
687	"Causality" Its mathematical expression does not propagate in the ordinary sense of the word, though it may refer to virtual or nominal 'velocities' with magnitudes greater than that of light. For example, wave packets are mathematical objects that have group velocity and phase velocity. The energy of a wave packet tra...
688	"Causality" [44] Causal notions are important in general relativity to the extent that the existence of an arrow of time demands that the universe's semi-Riemannian manifold be orientable, so that "future" and "past" are globally definable quantities. A causal system is a system with output and internal states that dep...
689	"Causality" Austin Bradford Hill built upon the work of Hume and Popper and suggested in his paper "The Environment and Disease: Association or Causation?" that aspects of an association such as strength, consistency, specificity, and temporality be considered in attempting to distinguish causal from noncausal associat...
690	"Causality" Attribution theory is the theory concerning how people explain individual occurrences of causation. Attribution can be external (assigning causality to an outside agent or force—claiming that some outside thing motivated the event) or internal (assigning causality to factors within the person—taking persona...
691	"Causality" Within psychology, Patricia Cheng [7] attempted to reconcile the Humean and Kantian views. According to her power PC theory, people filter observations of events through an intuition that causes have the power to generate (or prevent) their effects, thereby inferring specific cause-effect relations. Our vie...
692	"Causality" Their research suggests that "even young children will easily and swiftly learn about a new causal power of an object and spontaneously use that information in classifying and naming the object." [46] Some researchers such as Anjan Chatterjee at the University of Pennsylvania and Jonathan Fugelsang at the U...
693	"Causality" The body of statistical techniques involves substantial use of regression analysis. Typically a linear relationship such as is postulated, in which y i {\displaystyle y_{i}} is the i th observation of the dependent variable (hypothesized to be the caused variable), x j, i {\displaystyle x_{j,i}} for j =1,.....
694	"Causality" If the null hypothesis that a j = 0 {\displaystyle a_{j}=0} is rejected, then the alternative hypothesis that a j ≠ 0 {\displaystyle a_{j}\neq 0} and equivalently that x j {\displaystyle x_{j}} causes y cannot be rejected. On the other hand, if the null hypothesis that a j = 0 {\displaystyle a_{j}=0} cannot...
695	"Causality" Likewise, a change in x j {\displaystyle x_{j}} is not necessary to change y, because a change in y could be caused by something implicit in the error term (or by some other causative explanatory variable included in the model). The above way of testing for causality requires belief that there is no reverse...
696	"Causality" Second, the instrumental variables technique may be employed to remove any reverse causation by introducing a role for other variables (instruments) that are known to be unaffected by the dependent variable. Third, the principle that effects cannot precede causes can be invoked, by including on the right si...
697	"Causality" This helps to avoid false inferences of causality due to the presence of a third, underlying, variable that influences both the potentially causative variable and the potentially caused variable: its effect on the potentially caused variable is captured by directly including it in the regression, so that ef...
698	"Causality" Asserting with certitude that a common-cause is absent and the regression represents the true causal structure is in principle impossible. [48] Apart from constructing statistical models of observational and experimental data, economists use axiomatic (mathematical) models to infer and represent causal mech...
699	"Causality" The diagram categorizes causes, such as into the six main categories shown here. These categories are then sub-divided. Ishikawa's method identifies "causes" in brainstorming sessions conducted among various groups involved in the manufacturing process. These groups can then be labeled as categories in the ...

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