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Correlation does not imply causation

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752:. For example, social workers might be interested in knowing how child abuse relates to academic performance. Although it would be unethical to perform an experiment in which children are randomly assigned to receive or not receive abuse, researchers can look at existing groups using a non-experimental correlational design. If in fact a negative correlation exists between abuse and academic performance, researchers could potentially use this knowledge of a statistical correlation to make predictions about children outside the study who experience abuse even though the study failed to provide causal evidence that abuse decreases academic performance. The combination of limited available methodologies with the dismissing correlation fallacy has on occasion been used to counter a scientific finding. For example, the 3066: 190: 735:
Much of scientific evidence is based upon a correlation of variables that are observed to occur together. Scientists are careful to point out that correlation does not necessarily mean causation. The assumption that A causes B simply because A correlates with B is not accepted as a legitimate form of
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levels and therefore decreases BMI. Because results from prospective studies on people who increase their bicycle use show a smaller effect on BMI than cross-sectional studies, there may be some reverse causality as well. For example, people with a lower BMI may be more likely to want to cycle in the
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However, as encountered in many psychological studies, another variable, a "self-consciousness score", is discovered that has a sharper correlation (+.73) with shyness. This suggests a possible "third variable" problem, however, when three such closely related measures are found, it further suggests
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Further research has called this conclusion into question. Instead, it may be that other underlying factors, like genes, diet and exercise, affect both HDL levels and the likelihood of having a heart attack; it is possible that medicines may affect the directly measurable factor, HDL levels, without
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sleeping with the light on caused the development of myopia. It did find a strong link between parental myopia and the development of child myopia, also noting that myopic parents were more likely to leave a light on in their children's bedroom. In this case, the cause of both conditions is parental
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variable, with the slight difference that confounding variables need not be hidden and may thus be corrected for in an analysis. Note that the Knowledge link to lurking variable redirects to confounding. A difficulty often also arises where the third factor, though fundamentally different from A and
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Causality is actually the other way around, since some diseases, such as cancer, cause low cholesterol due to a myriad of factors, such as weight loss, and they also cause an increase in mortality. This can also be seen in alcoholics. As alcoholics become diagnosed with cirrhosis of the liver, many
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in fields such as medicine, psychology, and sociology. Correlations must first be confirmed as real, and every possible causative relationship must then be systematically explored. In the end, correlation alone cannot be used as evidence for a cause-and-effect relationship between a treatment and
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This example fails to recognize the importance of time of year and temperature to ice cream sales. Ice cream is sold during the hot summer months at a much greater rate than during colder times, and it is during these hot summer months that people are more likely to engage in activities involving
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In this example, the correlation (simultaneity) between windmill activity and wind velocity does not imply that wind is caused by windmills. It is rather the other way around, as suggested by the fact that wind does not need windmills to exist, while windmills need wind to rotate. Wind can be
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quit drinking. However, they also experience an increased risk of mortality. In these instances, it is the diseases that cause an increased risk of mortality, but the increased mortality is attributed to the beneficial effects that follow the diagnosis, making healthy changes look unhealthy.
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benefit, a risk factor and a disease, or a social or economic factor and various outcomes. It is one of the most abused types of evidence because it is easy and even tempting to come to premature conclusions based upon the preliminary appearance of a correlation.
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In other cases, two phenomena can each be a partial cause of the other; consider poverty and lack of education, or procrastination and poor self-esteem. One making an argument based on these two phenomena must however be careful to avoid the fallacy of
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The above example commits the correlation-implies-causation fallacy, as it prematurely concludes that sleeping with one's shoes on causes headache. A more plausible explanation is that both are caused by a third factor, in this case going to bed
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However, sometimes people commit the opposite fallacy of dismissing correlation entirely. That would dismiss a large swath of important scientific evidence. Since it may be difficult or ethically impossible to run controlled
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were beneficial to health since there would rarely be any lice on sick people. The reasoning was that the people got sick because the lice left. The real reason however is that lice are extremely sensitive to
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had not yet been invented and so that increase in temperature was rarely noticed. Noticeable symptoms came later, which gave the impression that the lice had left before the person became sick.
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The two variables are not related at all, but correlate by chance. The more things are examined, the more likely it is that two unrelated variables will appear to be related. For example:
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where controlled experiments often cannot be used to discern the direction of causation, this fallacy can fuel long-standing scientific arguments. One such example can be found in
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Zadnik, Karla; Jones, Lisa A.; Irvin, Brett C.; Kleinstein, Robert N.; Manny, Ruth E.; Shin, Julie A.; Mutti, Donald O. (2000). "Vision: Myopia and ambient night-time lighting".
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observed in places where there are no windmills or non-rotating windmills—and there are good reasons to believe that wind existed before the invention of windmills.
650:, predator numbers affect prey numbers, but prey numbers, i.e. food supply, also affect predator numbers. Another well-known example is that cyclists have a lower 111:, also known as Hill's criteria for causation, are a group of nine principles that can be useful in establishing epidemiologic evidence of a causal relationship. 17: 64:, in which two events occurring together are taken to have established a cause-and-effect relationship. This fallacy is also known by the Latin phrase 685:, despite the fact that the outcomes of football games had nothing to do with the outcome of the popular election. This streak was finally broken in 715:
Russian leaders: A bald (or obviously balding) state leader of Russia has succeeded a non-bald ("hairy") one, and vice versa, for nearly 200 years.
583:", above), being a cluster of correlated values each influencing one another to some extent. Therefore, the simple conclusion above may be false. 377:
models: it could either be that having innate ability enables one to complete an education, or that completing an education builds one's ability.
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causes. In examining correlation, "cause" is most often used to mean "one contributing cause" (but not necessarily the only contributing cause).
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Therefore, wind is caused by the rotation of windmills. (Or, simply put: windmills, as their name indicates, are machines used to produce wind.)
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B, is so closely related to A and/or B as to be confused with them or very difficult to scientifically disentangle from them (see Example 4).
2188: 560:. The increased drowning deaths are simply caused by more exposure to water-based activities, not ice cream. The stated conclusion is false. 1070: 1177: 230: 1954: 1882: 1810: 1766: 726:: the huge number of combinations of letters makes appearances of any word in sufficiently lengthy text statistically insignificant. 829: 690: 686: 1533: 1265: 2034: 2002: 1441: 1193:
Quinn, Graham E.; Shin, Chai H.; Maguire, Maureen G.; Stone, Richard A. (May 1999). "Myopia and ambient lighting at night".
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Dinosaur illiteracy and extinction may be correlated, but that would not mean the variables had a causal relationship.
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This could easily be the other way round; that is, violent children like watching more TV than less violent ones.
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studies to address certain questions, correlational evidence from several different angles may be useful for
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A hypothetical study shows a relationship between test anxiety scores and shyness scores, with a statistical
3021: 2997: 2586: 811: 2598: 2342: 1700: 1643: 787: 182:" (or "causation") has multiple meanings in English. In philosophical terminology, "cause" can refer to 3133: 2608: 520: 225:, sequence in time (that is, causes must occur before their proposed effect), a plausible physical or 3183: 3178: 3016: 2573: 2469: 757: 462: 460:. It asserts that X causes Y when in reality, both X and Y are caused by Z. It is a variation on the 229:
mechanism for an observed effect to follow from a possible cause, and eliminating the possibility of
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for." That is the meaning intended by statisticians when they say causation is not certain. Indeed,
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Therefore, it may be simply concluded that shyness, in some part, causally influences test anxiety.
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might be either way around: perhaps the drugs cause the disorders, or perhaps people use drugs to
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In other cases it may simply be unclear which is the cause and which is the effect. For example:
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usage leads to usage of harder drugs, but hard drug usage may lead to marijuana usage (see also
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pertaining to establishing cause and effect. Typically it involves establishing four elements:
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has historically relied on a dismissal of correlational evidence to reject a link between
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than people who do not cycle. This is often explained by assuming that cycling increases
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As with any logical fallacy, identifying that the reasoning behind an argument is flawed
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Therefore, taking medication to raise HDL decreases the chance of having a heart attack.
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where cause and effect are reversed. The cause is said to be the effect and vice versa.
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Sleeping with one's shoes on is strongly correlated with waking up with a headache.
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predicted the outcome of every presidential election from 1936 to 2000 inclusive
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between them. The idea that "correlation implies causation" is an example of a
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The faster that windmills are observed to rotate, the more wind is observed.
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As ice cream sales increase, the rate of drowning deaths increases sharply.
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Young children who sleep with the light on are much more likely to develop
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follows." In that sense, it is always correct to say "Correlation does not
2043: 1651: 1577:"Evidence in Medicine: Correlation and Causation – Science-Based Medicine" 3026: 2803: 2740: 1597: 854: 722:, Hebrew words predicting historical events supposedly hidden within the 627: 501:, which thereby gives rise to a correlation. So the conclusion is false. 498: 478: 403: 386: 222: 61: 54: 1716: 1659: 580: 3080: 2936: 2930: 2857: 2769: 1603:
The Signal and the Noise: Why So Many Predictions Fail – But Some Don't
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The Psychology of Personality: Viewpoints, Research, and Applications
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Stone, Richard A.; Maguire, Maureen G.; Quinn, Graham E. (2000).
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methods have been proposed that use correlation as the basis for
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Normally distributed and uncorrelated does not imply independent
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The Cognitive Style of PowerPoint: Pitching Out Corrupts Within
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This is a scientific example that resulted from a study at the
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Third factor C (the common-causal variable) causes both A and B
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Beebee, Helen; Hitchcock, Christopher; Menzies, Peter (2009).
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Ornish, Dean. "Cholesterol: The good, the bad, and the truth"
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are the most violent. Clearly, TV makes children more violent
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Richer populations tend to eat more food and produce more CO
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Therefore, low cholesterol increases your risk of mortality.
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Low cholesterol is associated with an increase in mortality.
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Examples of illogically inferring causation from correlation
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with the size of crude steel production in Western Germany.
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Night lights don't lead to nearsightedness, study suggests
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is negatively correlated with incidence of heart attack.
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Therefore, sleeping with one's shoes on causes headache.
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Pages displaying short descriptions of redirect targets
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Pages displaying short descriptions of redirect targets
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using an alternative formulation of the original rule).
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A historical example of this is that Europeans in the
136:, the technical use of the word "implies" means "is a 1192: 784: – Type of fallacious argument (logical fallacy) 398:. A small increase of body temperature, such as in a 515:
Therefore, sleeping with the light on causes myopia.
402:, makes the lice look for another host. The medical 1331: 832: – Problem of circular reasoning in statistics 642:
Bidirectional causation: A causes B, and B causes A
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B causes A (reverse causation or reverse causality)
45:" refers to the inability to legitimately deduce a 1685:(August 3, 1957), "Dangers Of Cigarette-Smoking", 1332:Gwiazda, J.; Ong, E.; Held, R.; Thorn, F. (2000). 814: – Statistical interpretation with many tests 579:that each may have bidirectional tendencies (see " 541:myopia, and the above-stated conclusion is false. 53:solely on the basis of an observed association or 1534:"Evidence in Medicine: Correlation and Causation" 1380: 1019: 551:Therefore, ice cream consumption causes drowning. 3170: 1628:(July 6, 1957), "Dangers Of Cigarette-Smoking", 1374: 1334:"Vision: Myopia and ambient night-time lighting" 1186: 851: – Concurrence of events with no connection 663:The relationship between A and B is coincidental 124:In casual use, the word "implies" loosely means 1274: 922: – Thinking in terms of destiny or purpose 2184:Affirmative conclusion from a negative premise 1325: 1020:Rohlfing, Ingo; Schneider, Carsten Q. (2018). 857: – Variable or factor in causal inference 796: – Evidence relying on personal testimony 418:cause of lack of education, but it is not the 3096: 2189:Negative conclusion from affirmative premises 2059: 1071:"Causation and Explanation in Social Science" 114: 1423: 1167: 1165: 646:Causality is not necessarily one-way; in a 2073: 1974: 1795:The Centennial Review of Arts & Science 1751:The Centennial Review of Arts & Science 1103:Naveed Sattar; David Preiss (13 Jun 2017). 932: 3103: 3089: 2066: 2052: 944: 526:. Published in the May 13, 1999, issue of 2767: 1940: 1868: 1724: 1667: 1527: 1525: 1497: 1406: 1357: 1162: 1120: 988: 971: 731:Use of correlation as scientific evidence 231:common and alternative ("special") causes 3110: 2920: 1429: 1075:The Oxford Handbook of Political Science 830:Testing hypotheses suggested by the data 748:despite failing to provide evidence for 677:The result of the last home game by the 571:value (strength of correlation) of +.59. 188: 91:that the resulting conclusion is false. 1550: 1531: 1436:(2nd ed.). John Wiley & Sons. 1248:Night-light may lead to nearsightedness 1083:10.1093/oxfordhb/9780199604456.013.0049 950: 820: – Statistical analysis phenomenon 764:(frequently on the industry's behalf). 14: 3171: 1898: 1826: 1782: 1738: 1681: 1624: 1596: 1579:. Sciencebasedmedicine.org. 2009-11-18 1522: 1143: 638:affecting the chance of heart attack. 590:Since the 1950s, both the atmospheric 184:necessary, sufficient, or contributing 3084: 2047: 2011: 1068: 938: 910: – Aspect of scientific research 3128:Correlation does not imply causation 1744:"Cigarettes, Cancer, and Statistics" 1468: 1462: 760:, as did biologist and statistician 173: 119: 49:relationship between two events or 43:correlation does not imply causation 18:Correlation does not prove causation 1146:"Of lice and men: An itchy history" 1029:Sociological Methods & Research 681:prior to the presidential election 24: 767:Correlation is a valuable type of 702:Social Democratic Party of Germany 473:All of those examples deal with a 197: 25: 3210: 3147:Lies, damned lies, and statistics 1174:Dr. LaBossiere's Philosophy Pages 1122:10.1161/CIRCULATIONAHA.117.028307 146:has the technical meaning of the 3065: 3064: 1994:The Oxford Handbook of Causation 1150:Scientific American Blog Network 790: – Phenomenon in statistics 203:This section is an excerpt from 1984: 1960:from the original on 2022-10-09 1892: 1888:from the original on 2022-10-09 1820: 1816:from the original on 2022-10-09 1807:Michigan State University Press 1776: 1772:from the original on 2022-10-09 1763:Michigan State University Press 1732: 1675: 1618: 1590: 1551:Nielsen, Michael (2012-01-23). 1544: 1450: 1252: 1237: 1069:Brady, Henry E. (7 July 2011). 826: – Misuse of data analysis 27:Refutation of a logical fallacy 2562:Correlation implies causation 1430:Carducci, Bernardo J. (2009). 1261:Research News, March 9, 2000. 1137: 1096: 1062: 1013: 601:levels have increased sharply. 412:circular cause and consequence 80:of the former event, and from 13: 1: 926: 758:tobacco smoke and lung cancer 313:Children that watch a lot of 99:for causality, including the 1832:"Lung Cancer and Cigarettes" 1532:Novella (18 November 2009). 1490:10.1016/j.envint.2018.06.023 812:Multiple comparisons problem 466:fallacy and a member of the 343:for preexisting conditions. 158:. That is, "if circumstance 7: 1997:. Oxford University Press. 1788:"The Nature of Probability" 1701:British Medical Association 1688:The British Medical Journal 1644:British Medical Association 1631:The British Medical Journal 788:Alignments of random points 775: 10: 3215: 3189:Covariance and correlation 3134:How to Lie with Statistics 2986:I'm entitled to my opinion 899:Pirates and global warming 666: 648:predator-prey relationship 521:University of Pennsylvania 429: 202: 115:Usage and meaning of terms 89:does not necessarily imply 29: 3118: 3060: 2969: 2908: 2842: 2758: 2667: 2642: 2617: 2541: 2493: 2429: 2404: 2376: 2341: 2291: 2245: 2236: 2174: 2140: 2096: 2087: 1540:. Science-Based Medicine. 1478:Environment International 890: – Statistical model 463:post hoc ergo propter hoc 73:post hoc ergo propter hoc 3012:Motte-and-bailey fallacy 2112:Affirming the consequent 1709:10.1136/bmj.2.5039.297-b 1041:10.1177/0049124115626170 861:Confusion of the inverse 782:Affirming the consequent 354:confusion of the inverse 105:convergent cross mapping 67:cum hoc ergo propter hoc 30:Not to be confused with 3032:Two wrongs make a right 2363:Denying the correlative 1925:Nature Publishing Group 1853:Nature Publishing Group 1459:(retrieved 3 June 2011) 901: – Satirical deity 875: – Design of tasks 863: – Logical fallacy 700:, which correlates the 442:ignoring a common cause 422:cause, and vice versa. 227:information-theoretical 3017:Psychologist's fallacy 2954:Argument to moderation 2944:Argument from anecdote 2894:Chronological snobbery 2518:Quoting out of context 2485:Overwhelming exception 2368:Suppressed correlative 2268:Quoting out of context 2143:quantificational logic 2117:Denying the antecedent 1803:East Lansing, Michigan 1759:East Lansing, Michigan 951:Aldrich, John (1995). 888:Mediation (statistics) 844:Bradford Hill criteria 581:bidirectional variable 331:A correlation between 194: 109:Bradford Hill criteria 101:Granger causality test 3141:Impression management 2980:The Four Great Errors 2960:Argumentum ad populum 2949:Argument from silence 2653:Argumentum ad baculum 2431:Faulty generalization 2122:Argument from fallacy 2023:Cheshire, Connecticut 1652:10.1136/bmj.2.5035.43 1259:Ohio State University 973:10.1214/ss/1177009870 914:Spurious relationship 873:Design of experiments 849:Coincidence#Causality 818:Look-elsewhere effect 679:Washington Commanders 669:Spurious relationship 604:Hence, atmospheric CO 534:Ohio State University 454:spurious relationship 432:Spurious relationship 337:psychiatric disorders 333:recreational drug use 192: 78:necessary consequence 3199:Misuse of statistics 3112:Misuse of statistics 2998:Invincible ignorance 2804:Reductio ad Stalinum 2790:Reductio ad Hitlerum 2746:Wisdom of repugnance 2513:Moving the goalposts 2378:Illicit transference 2303:Begging the question 2224:Undistributed middle 2132:Mathematical fallacy 2107:Affirming a disjunct 1904:"Cancer and Smoking" 1555:. Michaelnielsen.org 1538:Science and Medicine 470:group of fallacies. 148:material conditional 139:sufficient condition 32:Illusory correlation 2731:Parade of horribles 2707:In-group favoritism 2533:Syntactic ambiguity 2176:Syllogistic fallacy 2099:propositional logic 1933:1958Natur.182..596F 1902:(August 30, 1958), 1861:1958Natur.182..108F 1399:2000Natur.404..144S 1350:2000Natur.404..144G 1295:2000Natur.404..143Z 1207:1999Natur.399..113Q 1144:Willingham, Emily. 960:Statistical Science 769:scientific evidence 438:third-cause fallacy 363:education economics 345:Gateway drug theory 215:experimental design 2817:Poisoning the well 2634:Proof by assertion 2609:Texas sharpshooter 2543:Questionable cause 2480:Slothful induction 2439:Anecdotal evidence 2299:Circular reasoning 2194:Exclusive premises 2156:Illicit conversion 1968:Bundled references 1614:, pp. 254–255 1268:2006-09-01 at the 1180:2009-05-22 at the 1171:Labossiere, M.C., 794:Anecdotal evidence 536:did not find that 468:questionable cause 446:questionable cause 357:). Indeed, in the 268:questionable cause 195: 59:questionable-cause 3166: 3165: 3123:Circular analysis 3078: 3077: 3056: 3055: 3052: 3051: 2992:Ignoratio elenchi 2904: 2903: 2754: 2753: 2716:Not invented here 2421:Converse accident 2343:Correlative-based 2320:Compound question 2263:False attribution 2258:False equivalence 2232: 2231: 2036:978-0-9613921-5-4 2004:978-0-19-162946-4 1830:(July 12, 1958), 1443:978-1-4051-3635-8 1289:(6774): 143–144. 1201:(6732): 113–114. 1115:(24): 2369–2372. 806:Post hoc analysis 656:physical activity 256:reverse causality 252:Reverse causation 16:(Redirected from 3206: 3184:Causal inference 3179:Causal fallacies 3153:Misleading graph 3105: 3098: 3091: 3082: 3081: 3068: 3067: 3039:Special pleading 2918: 2917: 2779:Appeal to motive 2765: 2764: 2741:Stirring symbols 2721:Island mentality 2659:Wishful thinking 2640: 2639: 2356:Perfect solution 2333:No true Scotsman 2328:Complex question 2313:Leading question 2292:Question-begging 2278:No true Scotsman 2243: 2242: 2166:Quantifier shift 2161:Proof by example 2094: 2093: 2068: 2061: 2054: 2045: 2044: 2040: 2021:(2nd ed.). 2013:Tufte, Edward R. 2008: 1978: 1962: 1961: 1959: 1944: 1942:10.1038/182596a0 1908: 1896: 1890: 1889: 1887: 1872: 1870:10.1038/182108a0 1836: 1824: 1818: 1817: 1815: 1792: 1780: 1774: 1773: 1771: 1748: 1736: 1730: 1729: 1728: 1679: 1673: 1672: 1671: 1622: 1616: 1615: 1606:(2nd ed.), 1594: 1588: 1587: 1585: 1584: 1573: 1564: 1563: 1561: 1560: 1548: 1542: 1541: 1529: 1520: 1519: 1501: 1484:(119): 109–116. 1475: 1469:Dons, E (2018). 1466: 1460: 1454: 1448: 1447: 1427: 1421: 1420: 1410: 1408:10.1038/35004665 1378: 1372: 1371: 1361: 1359:10.1038/35004663 1329: 1323: 1322: 1303:10.1038/35004661 1278: 1272: 1256: 1250: 1246:, May 13, 1999. 1241: 1235: 1234: 1190: 1184: 1169: 1160: 1159: 1157: 1156: 1141: 1135: 1134: 1124: 1100: 1094: 1093: 1091: 1089: 1066: 1060: 1059: 1057: 1055: 1026: 1017: 1011: 1010: 1008: 1007: 992: 986: 985: 975: 957: 948: 942: 936: 904: 884: 754:tobacco industry 704:'s share of the 475:lurking variable 456:is confused for 396:body temperature 264:informal fallacy 213:is the field of 97:hypothesis tests 47:cause-and-effect 21: 3214: 3213: 3209: 3208: 3207: 3205: 3204: 3203: 3194:English phrases 3169: 3168: 3167: 3162: 3114: 3109: 3079: 3074: 3048: 3022:Rationalization 2965: 2912: 2900: 2838: 2760:Genetic fallacy 2750: 2663: 2638: 2613: 2537: 2528:Sorites paradox 2508:False precision 2489: 2470:Double counting 2425: 2400: 2372: 2337: 2324:Loaded question 2308:Loaded language 2287: 2228: 2170: 2136: 2083: 2072: 2037: 2005: 1987: 1982: 1981: 1975: 1965: 1957: 1906: 1897: 1893: 1885: 1834: 1825: 1821: 1813: 1790: 1781: 1777: 1769: 1746: 1737: 1733: 1680: 1676: 1623: 1619: 1595: 1591: 1582: 1580: 1575: 1574: 1567: 1558: 1556: 1549: 1545: 1530: 1523: 1473: 1467: 1463: 1455: 1451: 1444: 1428: 1424: 1379: 1375: 1330: 1326: 1279: 1275: 1270:Wayback Machine 1257: 1253: 1242: 1238: 1191: 1187: 1182:Wayback Machine 1170: 1163: 1154: 1152: 1142: 1138: 1101: 1097: 1087: 1085: 1067: 1063: 1053: 1051: 1024: 1018: 1014: 1005: 1003: 994: 993: 989: 955: 949: 945: 937: 933: 929: 908:Reproducibility 902: 882: 778: 733: 671: 665: 652:Body Mass Index 644: 615: 608:causes obesity. 607: 595: 556:water, such as 450:logical fallacy 440:(also known as 434: 428: 359:social sciences 347:may argue that 260:wrong direction 249: 244: 239: 238: 211:Causal analysis 208: 205:Causal analysis 200: 198:Causal analysis 176: 156:p → q 122: 117: 62:logical fallacy 39: 28: 23: 22: 15: 12: 11: 5: 3212: 3202: 3201: 3196: 3191: 3186: 3181: 3164: 3163: 3161: 3160: 3155: 3150: 3143: 3138: 3130: 3125: 3119: 3116: 3115: 3108: 3107: 3100: 3093: 3085: 3076: 3075: 3073: 3072: 3061: 3058: 3057: 3054: 3053: 3050: 3049: 3047: 3046: 3041: 3036: 3035: 3034: 3024: 3019: 3014: 3009: 3000: 2995: 2988: 2983: 2976: 2970: 2967: 2966: 2964: 2963: 2956: 2951: 2946: 2941: 2940: 2939: 2926: 2924: 2915: 2906: 2905: 2902: 2901: 2899: 2898: 2897: 2896: 2882: 2877: 2872: 2871: 2870: 2861: 2854: 2852:Accomplishment 2843: 2840: 2839: 2837: 2836: 2831: 2824: 2819: 2814: 2809: 2808: 2807: 2800: 2799: 2798: 2781: 2775: 2773: 2762: 2756: 2755: 2752: 2751: 2749: 2748: 2743: 2738: 2733: 2728: 2723: 2718: 2709: 2704: 2699: 2694: 2689: 2684: 2679: 2673: 2671: 2665: 2664: 2662: 2661: 2656: 2648: 2646: 2637: 2636: 2627: 2621: 2619: 2615: 2614: 2612: 2611: 2606: 2604:Slippery slope 2601: 2596: 2591: 2590: 2589: 2579: 2578: 2577: 2570: 2560: 2559: 2558: 2547: 2545: 2539: 2538: 2536: 2535: 2530: 2525: 2523:Slippery slope 2520: 2515: 2510: 2505: 2499: 2497: 2491: 2490: 2488: 2487: 2482: 2477: 2472: 2467: 2458: 2457: 2456: 2451: 2449:Cherry picking 2441: 2435: 2433: 2427: 2426: 2424: 2423: 2418: 2412: 2410: 2402: 2401: 2399: 2398: 2393: 2388: 2382: 2380: 2374: 2373: 2371: 2370: 2365: 2360: 2359: 2358: 2347: 2345: 2339: 2338: 2336: 2335: 2330: 2317: 2316: 2315: 2305: 2295: 2293: 2289: 2288: 2286: 2285: 2280: 2275: 2270: 2265: 2260: 2255: 2249: 2247: 2240: 2234: 2233: 2230: 2229: 2227: 2226: 2221: 2216: 2211: 2206: 2201: 2196: 2191: 2186: 2180: 2178: 2172: 2171: 2169: 2168: 2163: 2158: 2153: 2147: 2145: 2138: 2137: 2135: 2134: 2129: 2124: 2119: 2114: 2109: 2103: 2101: 2091: 2085: 2084: 2071: 2070: 2063: 2056: 2048: 2042: 2041: 2035: 2027:Graphics Press 2009: 2003: 1986: 1983: 1980: 1979: 1972: 1971: 1970: 1969: 1964: 1963: 1900:Fisher, Ronald 1891: 1828:Fisher, Ronald 1819: 1784:Fisher, Ronald 1775: 1740:Fisher, Ronald 1731: 1683:Fisher, Ronald 1674: 1626:Fisher, Ronald 1617: 1589: 1565: 1543: 1521: 1461: 1449: 1442: 1422: 1373: 1324: 1273: 1251: 1236: 1185: 1161: 1136: 1095: 1061: 1012: 987: 966:(4): 364–376. 943: 930: 928: 925: 924: 923: 917: 911: 905: 896: 891: 885: 876: 870: 867:French paradox 864: 858: 852: 846: 841: 835: 834: 833: 827: 821: 815: 809: 797: 791: 785: 777: 774: 732: 729: 728: 727: 716: 709: 698:Mierscheid law 694: 667:Main article: 664: 661: 659:first place. 643: 640: 635: 634: 631: 621: 613: 610: 609: 605: 602: 593: 588: 576: 575: 572: 565: 553: 552: 549: 546: 524:Medical Center 517: 516: 513: 512:in later life. 506: 494: 493: 490: 487: 430:Main article: 427: 424: 389:believed that 365:, between the 321: 320: 297: 296: 293: 290: 282: 281: 278: 275: 248: 245: 243: 240: 209: 201: 199: 196: 175: 172: 162:is true, then 154:symbolized as 132:. However, in 128:, rather than 121: 118: 116: 113: 26: 9: 6: 4: 3: 2: 3211: 3200: 3197: 3195: 3192: 3190: 3187: 3185: 3182: 3180: 3177: 3176: 3174: 3159: 3158:Sampling bias 3156: 3154: 3151: 3148: 3144: 3142: 3139: 3136: 3135: 3131: 3129: 3126: 3124: 3121: 3120: 3117: 3113: 3106: 3101: 3099: 3094: 3092: 3087: 3086: 3083: 3071: 3063: 3062: 3059: 3045: 3042: 3040: 3037: 3033: 3030: 3029: 3028: 3025: 3023: 3020: 3018: 3015: 3013: 3010: 3008: 3004: 3001: 2999: 2996: 2994: 2993: 2989: 2987: 2984: 2982: 2981: 2977: 2975: 2972: 2971: 2968: 2962: 2961: 2957: 2955: 2952: 2950: 2947: 2945: 2942: 2938: 2935: 2934: 2933: 2932: 2928: 2927: 2925: 2923: 2919: 2916: 2914: 2907: 2895: 2892: 2891: 2890: 2886: 2883: 2881: 2878: 2876: 2873: 2869: 2865: 2862: 2860: 2859: 2855: 2853: 2850: 2849: 2848: 2845: 2844: 2841: 2835: 2832: 2830: 2829: 2825: 2823: 2820: 2818: 2815: 2813: 2810: 2806: 2805: 2801: 2797: 2794: 2793: 2792: 2791: 2787: 2786: 2785: 2782: 2780: 2777: 2776: 2774: 2772: 2771: 2766: 2763: 2761: 2757: 2747: 2744: 2742: 2739: 2737: 2734: 2732: 2729: 2727: 2724: 2722: 2719: 2717: 2713: 2712:Invented here 2710: 2708: 2705: 2703: 2700: 2698: 2695: 2693: 2690: 2688: 2685: 2683: 2680: 2678: 2675: 2674: 2672: 2670: 2666: 2660: 2657: 2655: 2654: 2650: 2649: 2647: 2645: 2641: 2635: 2631: 2628: 2626: 2623: 2622: 2620: 2616: 2610: 2607: 2605: 2602: 2600: 2597: 2595: 2592: 2588: 2585: 2584: 2583: 2580: 2576: 2575: 2571: 2569: 2568: 2564: 2563: 2561: 2557: 2554: 2553: 2552: 2549: 2548: 2546: 2544: 2540: 2534: 2531: 2529: 2526: 2524: 2521: 2519: 2516: 2514: 2511: 2509: 2506: 2504: 2501: 2500: 2498: 2496: 2492: 2486: 2483: 2481: 2478: 2476: 2475:False analogy 2473: 2471: 2468: 2466: 2462: 2459: 2455: 2452: 2450: 2447: 2446: 2445: 2444:Sampling bias 2442: 2440: 2437: 2436: 2434: 2432: 2428: 2422: 2419: 2417: 2414: 2413: 2411: 2409: 2408: 2407:Secundum quid 2403: 2397: 2394: 2392: 2389: 2387: 2384: 2383: 2381: 2379: 2375: 2369: 2366: 2364: 2361: 2357: 2354: 2353: 2352: 2351:False dilemma 2349: 2348: 2346: 2344: 2340: 2334: 2331: 2329: 2325: 2321: 2318: 2314: 2311: 2310: 2309: 2306: 2304: 2300: 2297: 2296: 2294: 2290: 2284: 2281: 2279: 2276: 2274: 2271: 2269: 2266: 2264: 2261: 2259: 2256: 2254: 2251: 2250: 2248: 2244: 2241: 2239: 2235: 2225: 2222: 2220: 2219:Illicit minor 2217: 2215: 2214:Illicit major 2212: 2210: 2207: 2205: 2202: 2200: 2197: 2195: 2192: 2190: 2187: 2185: 2182: 2181: 2179: 2177: 2173: 2167: 2164: 2162: 2159: 2157: 2154: 2152: 2149: 2148: 2146: 2144: 2139: 2133: 2130: 2128: 2125: 2123: 2120: 2118: 2115: 2113: 2110: 2108: 2105: 2104: 2102: 2100: 2095: 2092: 2090: 2086: 2081: 2077: 2069: 2064: 2062: 2057: 2055: 2050: 2049: 2046: 2038: 2032: 2028: 2024: 2020: 2019: 2014: 2010: 2006: 2000: 1996: 1995: 1989: 1988: 1977: 1973: 1967: 1966: 1956: 1952: 1948: 1943: 1938: 1934: 1930: 1926: 1922: 1918: 1914: 1913: 1905: 1901: 1895: 1884: 1880: 1876: 1871: 1866: 1862: 1858: 1854: 1850: 1846: 1842: 1841: 1833: 1829: 1823: 1812: 1808: 1804: 1800: 1796: 1789: 1785: 1779: 1768: 1764: 1760: 1756: 1752: 1745: 1741: 1735: 1727: 1722: 1718: 1714: 1710: 1706: 1702: 1698: 1694: 1690: 1689: 1684: 1678: 1670: 1665: 1661: 1657: 1653: 1649: 1645: 1641: 1637: 1633: 1632: 1627: 1621: 1613: 1612:Penguin Books 1609: 1605: 1604: 1599: 1593: 1578: 1572: 1570: 1554: 1547: 1539: 1535: 1528: 1526: 1517: 1513: 1509: 1505: 1500: 1499:10044/1/61061 1495: 1491: 1487: 1483: 1479: 1472: 1465: 1458: 1453: 1445: 1439: 1435: 1434: 1426: 1418: 1414: 1409: 1404: 1400: 1396: 1393:(6774): 144. 1392: 1388: 1384: 1377: 1369: 1365: 1360: 1355: 1351: 1347: 1344:(6774): 144. 1343: 1339: 1335: 1328: 1320: 1316: 1312: 1308: 1304: 1300: 1296: 1292: 1288: 1284: 1277: 1271: 1267: 1264: 1260: 1255: 1249: 1245: 1240: 1232: 1228: 1224: 1220: 1216: 1215:10.1038/20094 1212: 1208: 1204: 1200: 1196: 1189: 1183: 1179: 1176: 1175: 1168: 1166: 1151: 1147: 1140: 1132: 1128: 1123: 1118: 1114: 1110: 1106: 1099: 1084: 1080: 1076: 1072: 1065: 1050: 1046: 1042: 1038: 1034: 1030: 1023: 1016: 1001: 997: 991: 983: 979: 974: 969: 965: 961: 954: 947: 940: 935: 931: 921: 918: 915: 912: 909: 906: 900: 897: 895: 892: 889: 886: 880: 877: 874: 871: 868: 865: 862: 859: 856: 853: 850: 847: 845: 842: 839: 836: 831: 828: 825: 824:Data dredging 822: 819: 816: 813: 810: 807: 804: 803: 801: 798: 795: 792: 789: 786: 783: 780: 779: 773: 770: 765: 763: 762:Ronald Fisher 759: 755: 751: 747: 743: 737: 725: 721: 717: 714: 710: 707: 703: 699: 695: 692: 688: 684: 680: 676: 675: 674: 670: 660: 657: 653: 649: 639: 632: 629: 625: 622: 619: 618: 617: 603: 600: 596: 589: 586: 585: 584: 582: 573: 570: 566: 563: 562: 561: 559: 550: 547: 544: 543: 542: 539: 535: 531: 530: 525: 522: 514: 511: 507: 504: 503: 502: 500: 491: 488: 485: 484: 483: 480: 476: 471: 469: 465: 464: 459: 455: 451: 447: 443: 439: 433: 423: 421: 417: 414:. Poverty is 413: 407: 405: 401: 397: 392: 388: 383: 382: 378: 376: 375:human capital 372: 368: 364: 360: 356: 355: 350: 346: 342: 341:self medicate 338: 334: 329: 328: 324: 318: 316: 311: 310: 309: 306: 305: 301: 294: 291: 288: 287: 286: 279: 276: 273: 272: 271: 269: 265: 261: 257: 253: 236: 232: 228: 224: 220: 216: 212: 206: 191: 187: 185: 181: 171: 170:causation." 169: 165: 161: 157: 153: 149: 145: 141: 140: 135: 131: 127: 112: 110: 106: 102: 98: 94: 90: 85: 83: 79: 75: 74: 69: 68: 63: 60: 56: 52: 48: 44: 37: 33: 19: 3132: 3127: 3007:Naturalistic 2990: 2978: 2958: 2929: 2913:of relevance 2856: 2834:Whataboutism 2826: 2802: 2796:Godwin's law 2788: 2768: 2651: 2644:Consequences 2625:Law/Legality 2599:Single cause 2572: 2566: 2565: 2405: 2273:Loki's Wager 2253:Equivocation 2246:Equivocation 2017: 1993: 1985:Bibliography 1976: 1916: 1910: 1894: 1844: 1838: 1822: 1798: 1794: 1778: 1754: 1750: 1734: 1692: 1686: 1677: 1635: 1629: 1620: 1602: 1598:Silver, Nate 1592: 1581:. Retrieved 1557:. Retrieved 1546: 1537: 1481: 1477: 1464: 1452: 1432: 1425: 1390: 1386: 1376: 1341: 1337: 1327: 1286: 1282: 1276: 1254: 1239: 1198: 1194: 1188: 1173: 1153:. Retrieved 1149: 1139: 1112: 1108: 1098: 1086:. Retrieved 1074: 1064: 1052:. Retrieved 1035:(1): 37–63. 1032: 1028: 1015: 1004:. Retrieved 1002:. 2019-12-02 999: 996:"Sufficient" 990: 963: 959: 946: 934: 879:Joint effect 766: 749: 745: 742:double-blind 738: 734: 711:Alternating 706:popular vote 672: 645: 636: 611: 577: 568: 554: 527: 518: 495: 472: 461: 445: 441: 437: 435: 419: 415: 408: 384: 380: 379: 352: 330: 326: 325: 322: 312: 307: 303: 302: 298: 283: 259: 255: 251: 250: 237:experiments. 177: 167: 163: 159: 155: 151: 143: 137: 129: 125: 123: 86: 71: 66: 65: 42: 41:The phrase " 40: 3027:Red herring 2784:Association 2465:Conjunction 2386:Composition 2283:Reification 2199:Existential 2151:Existential 1809:: 261–274, 1765:: 151–166, 1703:: 297–298, 1109:Circulation 1088:29 February 1054:29 February 941:, p. 5 855:Confounding 628:cholesterol 479:confounding 452:in which a 404:thermometer 387:Middle Ages 223:correlation 152:if p then q 144:p implies q 93:Statistical 55:correlation 3173:Categories 3003:Moralistic 2937:Sealioning 2931:Ad nauseam 2858:Ipse dixit 2770:Ad hominem 2594:Regression 2396:Ecological 2209:Four terms 2127:Masked man 1583:2017-10-08 1559:2017-10-08 1155:2019-02-26 1006:2019-12-03 939:Tufte 2006 927:References 838:Bible code 746:prediction 736:argument. 720:Bible code 713:bald–hairy 597:level and 219:statistics 178:The word " 82:conflation 36:Conflation 3044:Straw man 2922:Arguments 2911:fallacies 2885:Tradition 2875:Etymology 2847:Authority 2828:Tu quoque 2812:Bulverism 2582:Gambler's 2551:Animistic 2495:Ambiguity 2461:Base rate 2204:Necessity 2076:fallacies 1049:124804330 920:Teleology 800:Apophenia 750:causation 626:("good") 620:Example 6 587:Example 5 564:Example 4 545:Example 3 505:Example 2 486:Example 1 458:causation 381:Example 5 371:signaling 367:screening 349:marijuana 327:Example 4 304:Example 3 289:Example 2 274:Example 1 51:variables 3070:Category 2702:Ridicule 2687:Flattery 2677:Children 2574:Post hoc 2454:McNamara 2416:Accident 2391:Division 2238:Informal 2015:(2006). 1955:archived 1951:13577916 1919:(4635), 1883:archived 1879:13566198 1847:(4628), 1811:archived 1786:(1958), 1767:archived 1742:(1958), 1717:25383439 1695:(5039), 1660:25383068 1638:(5035), 1608:New York 1600:(2015), 1516:49607716 1508:29957352 1417:10724158 1368:10724158 1311:10724157 1266:Archived 1223:10335839 1178:Archived 1131:28606949 776:See also 558:swimming 130:requires 126:suggests 2889:Novelty 2864:Poverty 2726:Loyalty 2692:Novelty 2669:Emotion 2618:Appeals 2587:Inverse 2567:Cum hoc 2556:Furtive 2074:Common 1929:Bibcode 1927:: 596, 1857:Bibcode 1855:: 108, 1726:1961712 1669:1961750 1395:Bibcode 1346:Bibcode 1319:4399332 1291:Bibcode 1231:4419645 1203:Bibcode 1000:Wolfram 982:2246135 599:obesity 538:infants 448:) is a 235:natural 174:"Cause" 120:"Imply" 3137:(1954) 2974:Cliché 2909:Other 2880:Nature 2868:Wealth 2503:Accent 2089:Formal 2033:  2001:  1949:  1921:London 1912:Nature 1877:  1849:London 1840:Nature 1723:  1715:  1697:London 1666:  1658:  1646:: 43, 1640:London 1514:  1506:  1440:  1415:  1387:Nature 1366:  1338:Nature 1317:  1309:  1283:Nature 1229:  1221:  1195:Nature 1129:  1047:  980:  529:Nature 510:myopia 262:is an 107:. The 2736:Spite 2630:Stone 1958:(PDF) 1907:(PDF) 1886:(PDF) 1835:(PDF) 1814:(PDF) 1791:(PDF) 1770:(PDF) 1747:(PDF) 1713:JSTOR 1656:JSTOR 1512:S2CID 1474:(PDF) 1315:S2CID 1227:S2CID 1045:S2CID 1025:(PDF) 978:JSTOR 956:(PDF) 724:Torah 499:drunk 400:fever 180:cause 168:imply 134:logic 2822:Tone 2697:Pity 2682:Fear 2080:list 2031:ISBN 1999:ISBN 1947:PMID 1875:PMID 1504:PMID 1438:ISBN 1413:PMID 1364:PMID 1307:PMID 1219:PMID 1127:PMID 1090:2020 1056:2020 718:The 696:The 691:2012 689:(or 687:2004 436:The 420:sole 391:lice 373:and 335:and 217:and 103:and 2141:In 2097:In 1937:doi 1917:182 1865:doi 1845:182 1721:PMC 1705:doi 1664:PMC 1648:doi 1494:hdl 1486:doi 1482:119 1403:doi 1391:404 1354:doi 1342:404 1299:doi 1287:404 1244:CNN 1211:doi 1199:399 1117:doi 1113:135 1079:doi 1037:doi 968:doi 624:HDL 444:or 266:of 258:or 254:or 34:or 3175:: 3005:/ 2887:/ 2866:/ 2714:/ 2632:/ 2463:/ 2326:/ 2322:/ 2301:/ 2029:. 2025:: 1953:, 1945:, 1935:, 1923:: 1915:, 1909:, 1881:, 1873:, 1863:, 1851:: 1843:, 1837:, 1805:: 1801:, 1797:, 1793:, 1761:: 1757:, 1753:, 1749:, 1719:, 1711:, 1699:: 1691:, 1662:, 1654:, 1642:: 1634:, 1610:: 1568:^ 1536:. 1524:^ 1510:. 1502:. 1492:. 1480:. 1476:. 1411:. 1401:. 1389:. 1385:. 1362:. 1352:. 1340:. 1336:. 1313:. 1305:. 1297:. 1285:. 1225:. 1217:. 1209:. 1197:. 1164:^ 1148:. 1125:. 1111:. 1107:. 1077:. 1073:. 1043:. 1033:47 1031:. 1027:. 998:. 976:. 964:10 962:. 958:. 616:. 592:CO 315:TV 150:: 3149:" 3145:" 3104:e 3097:t 3090:v 2082:) 2078:( 2067:e 2060:t 2053:v 2039:. 2007:. 1939:: 1931:: 1867:: 1859:: 1799:2 1755:2 1707:: 1693:2 1650:: 1636:2 1586:. 1562:. 1518:. 1496:: 1488:: 1446:. 1419:. 1405:: 1397:: 1370:. 1356:: 1348:: 1321:. 1301:: 1293:: 1233:. 1213:: 1205:: 1158:. 1133:. 1119:: 1092:. 1081:: 1058:. 1039:: 1009:. 984:. 970:: 614:2 606:2 594:2 569:r 416:a 369:/ 319:. 207:. 164:q 160:p 38:. 20:)

Index

Correlation does not prove causation
Illusory correlation
Conflation
cause-and-effect
variables
correlation
questionable-cause
logical fallacy
post hoc ergo propter hoc
necessary consequence
conflation
does not necessarily imply
Statistical
hypothesis tests
Granger causality test
convergent cross mapping
Bradford Hill criteria
logic
sufficient condition
material conditional
cause
necessary, sufficient, or contributing

Causal analysis
Causal analysis
experimental design
statistics
correlation
information-theoretical
common and alternative ("special") causes

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