Seven tenths incorrect: heterogeneity and change in the waist-to-hip ratios of Playboy centerfold models and Miss America pageant winners.We seek to correct what appears to be an emerging "academic urban legend Myths about anything and everything that barely have a shred of truth in them, yet seem to take on a persistent life of their own. Before the Internet, such urban folklore as "alligators in New York City sewers" was carried in magazines and newspapers. " (Tooby & Cosmides, 2000) regarding the stability and precision of what heterosexual males find sexually attractive Adj. 1. sexually attractive - capable of arousing desire; "the delectable Miss Haynes" delectable desirable - worth having or seeking or achieving; "a desirable job"; "computer with many desirable features"; "a desirable outcome" . The academic urban legend in question is that there has been a remarkable consistency in the waist-to-hip ratios waist-to-hip ratio Nutrition The circumference of the waist, divided by that of the hips, which is a measure of the obesity. See Obesity. (WHR WHR World Health Report WHR Waist-to-Hip Ratio WHR Welsh Highland Railway (UK) WHR Western Hemisphere Region WHR Watt Hour WHR Witch Hunter Robin (anime) WHR Waste Heat Recovery ) of both Playboy centerfolds Playboy centerfold nubile woman exhibited au naturel in centerfold of every issue. [Am. Magazines: Playboy] See : Nudity and winners of the Miss America Miss America annually selected most beautiful young woman in America. [Am. Hist.: Allen, 56–57] See : Beauty, Feminine Miss America winner of beauty contest; femininity high among virtues desired. [Am. Hist. pageant pageant, modern dramatic spectacle or procession celebrating a special occasion or an event in the history of a locality. In medieval times the word pageant had meant the wagon or the movable stage on which one scene of a mystery or miracle play was performed. . Because these women are taken as representative icons of venerated beauty standards, this supposed consistency has been taken by some authors as prima facie evidence prima facie evidence n. Law Evidence that would, if uncontested, establish a fact or raise a presumption of a fact. of an evolved basis for this very specific preference, although that claim would seem to be refuted by studies that have failed to find the preference in societies whose conditions resemble those of our Pleistocene ancestors Ancestors See also father; heredity; mother; origins; parents; race. archaism an inclination toward old-fashioned things, speech, or actions, especially those of one’s ancestors. Also archaicism. — archaist, n. far more closely than our own (Wetsman & Marlowe, 1999; Yu & Shepard, 1998). There is also dispute about the validity of the arguments that have been made for why such a preference would have been adaptive in the environments of our evolutionary past (Wetsman, 1998). We do not pursue these points here; what we dispute are the empirical assertions that have been made about the WHR of these supposed twin pillars of American beauty American Beauty n. A type of rose bearing large, long-stemmed purplish-red flowers. : Playboy Playmates and Miss Americas. The data presented below demonstrates both that the WHR has been more variable than others have suggested and that the average WHR has in fact changed in what seems to us to be a consistent fashion over time. Before presenting these data, however, we need to establish that the incipient incipient (insip´ēent), adj beginning, initial, commencing. incipient beginning to exist; coming into existence. academic urban legend does exist. We submit four examples, which in no way should be taken as exhaustive: 1. From Buss's (1999) Evolutionary Psychology evolutionary psychology n. The study of the psychological adaptations of humans to the changing physical and social environment, especially of changes in brain structure, cognitive mechanisms, and behavioral differences among individuals. textbook; virtually the same two sentences also appear in Buss and Kenrick's (1998, p. 1000) review of evolutionary psychology for the Handbook of Social Psychology (1): Singh's analysis of Playboy centerfolds and winners of U.S. beauty contests over the past thirty years confirmed the invariance of this cue. Although both centerfolds and beauty contest winners got slightly thinner over that period, their WHRs remained exactly the same, at 0.70. (p. 144) 2. From the book Mean Genes, by economist Terry Burnham and biologist Jay Phelan (2000): Although the bodies of [Miss America] winners are sometimes larger and sometimes smaller over the decades, their hourglass shape never varies. In particular, when the waist measurement is divided by the hip measurement for more than sixty Miss Americas from the 1920's to the 80's, the calculation never deviates from the tight range of 0.69-0.72. (p. 142) 3. From psychologist Nancy Etcoff's (1999) Survival of the Prettiest: The Science of Beauty: Looking at Miss Americas from the 1920s through the 1980s and at Playboy from 1955 to 1965 and 1976 to 1990, [Singh] found Miss Americas' waist-to-hip ratios varied only within the .72 to .69 mark, and Playboy models within the .71 to .68 range. (p. 193) 4. From a Newsweek article by Geoffrey Cowley (2000), which has since been reprinted as part of an anthology for social psychology students: Singh's findings suggest the fashion won't change any time soon. In one study, he compiled the measurements of Playboy centerfolds and Miss America winners from 1923 to 1990. Their bodies got measurably leaner over the decades, yet their waist-hip ratios stayed within the narrow range of .68 to .72. (2) (p. 193) As for the source of these assertions, all of the above either explicitly cite or seem to be relying on Singh (1993), who writes: WHR for Playboy centerfolds increased slightly from .68 to .71 over the years examined, whereas Miss America contest winners had WHR decrease from .72 to .69 (Figure 1). Thus, WHR of both the Miss America contest winners and the Playboy centerfolds, in spite of reduction of body weight over the years, remained within the .68 to .72 range. (p. 296) [FIGURE 1 OMITTED] To our eyes, this claim would actually seem to be contradicted by the Figure 1 that is provided in Singh (1993, p. 297); in other words Adv. 1. in other words - otherwise stated; "in other words, we are broke" put differently , despite the frequent repetition of Singh's assertion by academics and others, the warrant for it is not even apparent to us from the information available in the original paper. The interpretation of the above statement that makes the most sense to us is that when Singh is talking about increases and decreases over time--as well as about the range--he is talking about the predicted WHR values from a fitted regression line Noun 1. regression line - a smooth curve fitted to the set of paired data in regression analysis; for linear regression the curve is a straight line regression curve . However, saying the predicted values of a dependent variable change little over the range of an independent variable is mainly a claim about the strength of the association and does not necessarily imply anything about the actual range of the dependent variable, even though the latter seems to be the prevailing interpretation that has been made of the results by others. In any event, to try to clear the matter up decisively, we have independently reassembled and updated data on both pageant winners and Playboy centerfolds; as we explain below, in both cases the data we use can be thought to surpass the quality of that used by Singh. (3) The analysis below provides results that show both the extent of the range of WHR of these putative Alleged; supposed; reputed. A putative father is the individual who is alleged to be the father of an illegitimate child. A putative marriage is one that has been contracted in Good Faith and pursuant to ignorance, by one or both parties, that certain icons of beauty and provide a different view of how WHR has changed over time. METHOD Data for Miss America winners from 1921 to 1986 (when the pageant stopped collecting this information) are available in Bivans (1991), the same source used by Singh (N = 59). We checked Bivans's reported measurements against those of the Atlantic City Atlantic City, city (1990 pop. 37,986), Atlantic co., SE N.J., an Atlantic resort and convention center; settled c.1790, inc. 1854. Situated on Absecon Island, a barrier island 10 mi (16. newspaper accounts of the pageants for the 36 cases in which the paper reported measurements. This was consequential con·se·quen·tial adj. 1. Following as an effect, result, or conclusion; consequent. 2. Having important consequences; significant: because the Bivans data rounded any half-inch measurements reported by contestants, which is consequential for the computation of waist-to-hip ratio. Moreover, as far as we can tell, Bivans arbitrarily rounded either up or down (usually the latter). In cases where a discrepancy between the newspaper and Bivans's data could be explained by the latter's practice of rounding, the newspaper measurement was used instead. For three cases in which there was a discrepancy that could not be attributed to rounding, we included both sources' measurements in the dataset and used weights so that each source counts for half of an observation in all computed statistics. Data on the waist-to-hip ratios of Playboy centerfold models was obtained from the Playboy corporation's website. Singh (1993) reports that "bodily measurements for centerfolds were not published between 1966-1975" (p. 296) and were not available for data analysis, but data are available on the website for almost all centerfolds during these years. Measurements were only provided sometimes prior to September 1959, when Playboy apparently began its practice of presenting a data sheet on each Playmate, and there were also still a few subsequent instances in which the body measurements were not listed. Data for the years 1966 to 1975 do not appear to be confined to be in childbed. See also: Confine only to the website, as they also appear to be used in Garner, Garfinkel, Schwartz, and Thompson (1980). while Singh's analyses only use centerfolds through 1990, we also collected measurements on centerfolds through May 2001 (N = 524). We note that these are, to our knowledge, self-reported measurements, and one can imagine reasons why either Playboy models This is a list of all the models photographed for Playboy magazine. Note that not all of the women who have modeled in Playboy have done so in the nude. The list has been split up into several articles by decade of publication. or pageant contestants may intentionally misreport mis·re·port tr.v. mis·re·port·ed, mis·re·port·ing, mis·re·ports To report mistakenly or falsely. n. An inaccurate or wrong report. their measurements. Of course, one could argue that this might be even more ideal for the topic of inquiry because we might expect errors in self-report to be biased in favor of what would be seen as more desirable. In any case, since this has not been raised as an issue when these data have been used to support the idea of WHR exhibiting a consistent and time-invariant pattern among these women, we see no reason for it to be seen as any more compromising in a study that challenges this conclusion. RESULTS Variation in WHR Figure 1 presents the distribution of waist-to-hip ratios for both samples. This figure makes plain that the preceding assertions that all Playboy centerfolds or Miss Americas fall into a narrow range of WHR values are erroneous. Not only is the actual range of WHR values much wider than what is claimed above, but the narrow ranges reported do not even encompass most of the members of either sample. For the Miss America sample, the WHR of winners have ranged from 0.61 (Mayer, winner in 1963, W = 22/H = 36) to 0.78 (Gorman, winner in 1921, 25/32). (4) Only 9 of the 59 winners have WHRs between 0.69 and 0.72 (15%). The median for the Miss America sample is 0.667. The mean WHR value is not 0.70, as someone reading Buss (1999) or Buss and Kenrick (1998) might think, but in fact the mean is significantly less than 0.70 (mean = 0.677, t = -4.89, p < .001). One could protest that the difference between 0.70 and 0.677 is substantively small, even if statistically significant. We do not necessarily disagree, but we also believe that evolutionary psychological writings on WHR do not give one much sense of how the magnitude of differences in WHR should be substantively regarded. In the face of repeated assertions that the WHR of beauty icons seems to cluster invariably in·var·i·a·ble adj. Not changing or subject to change; constant. in·var i·a·bil and tightly around 0.70--as well as that the evolved
WHR preference is tuned precisely to 0.70 as the optimum (e.g., Alcock,
2001)--a statistically significant difference in a sample of modest size
would seem substantively consequential.For the sample of centerfolds, the overall range is even wider: from 0.529 (Winters, appeared in Sept. 1962, 18/34) to 0.788 (Fare, appeared in Aug. 2000, 26/33). Again, contrary to what has been reported, only 31.4% of these women have WHR values between 0.68 and 0.71. The median for the sample is 0.676, and, as with the Miss America sample, the mean is significantly less than 0.70 (mean = 0.677, t = -4.89, p < .001). Consider that low variation in waist-to-hip ratio would also seem to imply a very high zero-order correlation between waist size and hip size, given the existence of variation in the two variables from which the ratio is constructed. The zero-order correlations between these two variables are only r = .29 for the Miss America sample and r = .38 for the Playboy sample. Change in WHR Over Time Simple correlations between WHR and a linear measure of the time of pageant victory or magazine appearance show that the WHRs of Miss American winners and Playboy centerfolds have changed over time. The correlation coefficients Correlation Coefficient A measure that determines the degree to which two variable's movements are associated. The correlation coefficient is calculated as: indicate that the WHR Miss America winners have decreased over time (r =.-55, p < .001) and those of Playboy centerfold models have increased over time (r =.46, p < .001). One might take this as evidence of an invariance in·var·i·ant adj. 1. Not varying; constant. 2. Mathematics Unaffected by a designated operation, as a transformation of coordinates. n. An invariant quantity, function, configuration, or system. in the underlying preference over time; the opposing trends, while significant, could reflect idiosyncrasies of using self-reported Playboy and Miss America measurements as measures of indicators of male preferences at a given point in time. In other words, because the trends are in opposite directions, they can be thought of as canceling each other out, allowing the conclusion that reflected WHR preferences have effectively been temporally invariant (programming) invariant - A rule, such as the ordering of an ordered list or heap, that applies throughout the life of a data structure or procedure. Each change to the data structure must maintain the correctness of the invariant. despite evidence of change in both samples. A more satisfactory answer, we believe, is found when we investigate models that allow for a curvilinear curvilinear a line appearing as a curve; nonlinear. curvilinear regression see curvilinear regression. relationship between WHR and time. As shown in Table 1, the Miss America data are better fit by a model that includes a quadratic quadratic, mathematical expression of the second degree in one or more unknowns (see polynomial). The general quadratic in one unknown has the form ax2+bx+c, where a, b, and c are constants and x is the variable. term, while the Playboy data are not (Figure 2 provides a scatterplot of the data with the fitted regression lines). (5) If we use the results to compute the point at which the slope changes from negative to positive, we find that it is approximately 1969, which is still only about of a third of the way into the corresponding time series of Playboy model data (which runs from 1953-2001). In other words, if we are willing to make the assumption that these self-reported measurements are indicators of male WHR preference, then the combined results from the Miss America and Playboy samples can be interpreted as suggesting that the preferred value in the United States United States, officially United States of America, republic (2005 est. pop. 295,734,000), 3,539,227 sq mi (9,166,598 sq km), North America. The United States is the world's third largest country in population and the fourth largest country in area. may have decreased in the early through mid-20th century and then increased in the mid- to late-20th century. In any case, the claim that the WHR for these samples has displayed a remarkable constancy con·stan·cy n. 1. Steadfastness, as in purpose or affection; faithfulness. 2. The condition or quality of being constant; changelessness. Noun 1. over time is plainly unsupported by an examination of the actual data. WHR has changed in both samples, and not in a contradictory way. [FIGURE 2 OMITTED] A change in the waist-to-hip ratios of these cultural beauty icons over time can imply (a) a change in waist size, but not hip size; (b) a change in hip size, but not waist size; or (c) an imperfectly and/or negatively correlated change in both. Given that we are dealing with a dependent variable that is a ratio, the obvious next step in the analysis is to consider the numerator numerator the upper part of a fraction. numerator relationship see additive genetic relationship. numerator Epidemiology The upper part of a fraction and denominator of this ratio separately. The results of the regression analyses are presented as waist sizes and hip sizes in Table 1, while scatterplots of these relationships are shown in Figure 3. (6) Waist sizes in the Miss America sample appear to have decreased over the years, while those of the Playboy models have increased. However, including a quadratic term improves the fit of the model for the Miss America data, and this term implies increasing waist size in the later years of the sample as it overlaps the years reported by the Playboy data. Moving to hip size, in the Playboy data we have evidence suggesting a linear decrease in the hip size of centerfold cen·ter·fold n. 1. A magazine center spread, especially a foldout of an oversize photograph or feature. 2. a. The subject of a photograph used as a centerfold, often a nude model. b. models over time. Meanwhile, we do not have any real indication of a systematic relationship between time and hip size for the sample of pageant winners, as even for the quadratic model the F test that the coefficients are simultaneously equal to zero is not significant (p = .15). Of course, the much smaller sample size should be noted, as should the fact that the basic pattern of coefficients again does not contradict the Playboy data when a quadratic term is included in the model. [FIGURE 3 OMITTED] CONCLUSION Whether regarding sexuality or other aspects of social life, evolutionary psychological explanations have sparked considerable debate across various disciplines. While we have no quarrel with evolutionary psychology per se, one claim that has been repeatedly advanced by some of its more ardent practitioners and popularizers is that the perspective offers a more scientific approach than its alternatives in the behavioral sciences behavioral sciences, n.pl those sciences devoted to the study of human and animal behavior. . (For a particularly strident presentation of this claim in a work addressing sexuality, see Thornhill & Palmer, 2000.) We believe that science is much more, however, than simply drawing connections to theories in the natural sciences, and we remind readers of the first maxim of Galileo's Discors: "description first, explanation second" (see Pearl, 2000, pp. 334-335). The oft-repeated claim about the stability and time-invariance of the waist-to-hip ratio of Playboy centerfolds and Miss America winners has been used to support a theory about a highly specific and unmalleable preference built into male psychology through evolution by natural selection. As already noted, there are other reasons to be skeptical of the Darwinian explanation. Yet, regardless of its apparent merits, this paper shows that the empirical description of the self-reported WHR among these two sets of American beauty icons is not correct. For both groups, there is more variation in WHR than has been suggested and a more specific pattern of change over time. To conclude, we would maintain that the circulation of such claims is only to the detriment of evolutionary psychology, as it leads to the expectation that the contributions of the program will be a cataloguing of extremely precise mental adaptations whose effects are hidden from view until the introduction of evolutionary reasoning. Conversely, a less sensational, but more realistic, expectation might be that psychological adaptations A psychological adaptation, also called an Evolved psychological mechanism or EPM, is an aspect of a human or other animal's psychology that serves a specific purpose, and was created and selected by evolutionary pressures. should typically look more like broad and plastic heuristics heu·ris·tic adj. 1. Of or relating to a usually speculative formulation serving as a guide in the investigation or solution of a problem: than tightly-tuned rules (e.g., Ehrlich, 2000). In our view, the unsupported repetition of an astonishingly a·ston·ish tr.v. as·ton·ished, as·ton·ish·ing, as·ton·ish·es To fill with sudden wonder or amazement. See Synonyms at surprise. narrow and invariant convergence to a 0.70 WHR in beauty icons only distracts attention from some of the field's more measured discussions.
Table 1. Coefficients From OLS Regressions of Waist and Hip Sizes on
Year of Victory/Appearance.
Miss America sample Playboy sample
Model 1 Model 2 Model 1 Model 2
Waist-to-hip ratios
Year -.0011 -.0036 .0012 .0017
(<.001) (<.001) (<.001) (<.001)
Year squared .00004 -.000008
(<.01) (NS)
Adjusted [R.sub.2] .300 .413 .210 .210
Waist sizes (inches)
Year -.0323 .0914 .0258 .0539
(<.001) (<.01) (<.001) (<.01)
Year squared .0009 -.0005
(<.05) (NS)
Adjusted [R.sub.2] .211 .254 .067 .069
Hip sizes (inches)
Year -.0077 .0452 -.0262 -.0077
(NS) (<.10) (<.001) (NS)
Year squared -.0005 -.0004
(NS) (NS)
Adjusted [R.sub.2] .006 .032 .078 .079
N 59 527
Note. Significance levels in parentheses. Coefficients are
unstandardized. "Year" is year of pageant victory or month/year of
magazine appearance.
(1) The sentences are identical except the "got" above is changed to "became" and the "at" above to a colon in the Buss and Kenrick article. (2) More casually, we mention the following from a magazine reporter covering an evolutionary psychology conference for Health magazine: "Waist-hip ratio Waist-hip ratio or Waist-to-hip ratio (WHR) is the ratio of the circumference of the waist to that of the hips. It measures the proportion by which fat is distributed around the torso. of 1.0 or over? Nah. Waist-hip ratio of, say, 0.6? Nah again.... Waist-hip ratio around 0.7? Mmmmm, baby, iola guapa!" (Mestel, 1999). (3) The dataset used for these analyses is available on the first author's website: http://www.ssc.wisc.edu/~jfreese/whrdata.htm. (4) For reasons not explained in the article, Singh's analysis begins with the 1923 winner instead of 1921, even though the latter is available in Bivans (1991). (5) For drawing the regression lines in the scatterplots in both Figures 2 and 3, we use the Model 2 results for the Miss America sample and the Model 1 results for the Playboy sample because of the differences in the comparative fit of the two models across the two samples. (6) Some of the points in the Playboy scatterplot have values that are not half-or full-inch increments. These are not errors in the data but instead reflect that the body measurements of European models were often presented in centimeters, which we of course converted to inches for these analyses. REFERENCES Alcock, J. (2001). The triumph of sociobiology sociobiology, controversial field that studies how natural selection, previously used only to explain the evolution of physical characteristics, shapes behavior in animals and humans. . Oxford, UK: Oxford University Press. Bivans, A-M A-M Alternating Maximization (algorithm) . (1991). Miss America: In pursuit of the crown. New York New York, state, United States New York, Middle Atlantic state of the United States. It is bordered by Vermont, Massachusetts, Connecticut, and the Atlantic Ocean (E), New Jersey and Pennsylvania (S), Lakes Erie and Ontario and the Canadian province of : MasterMedia. Burnham, T., & Phelan, J.. (2000). Mean genes. Cambridge, MA: Perseus Publishing. Buss, D. M. (1999). Evolutionary psychology: The new science of the mind. Needham Heights, MA: Allyn and Bacon. Buss, D. M., & Kenrick, D. T.. (1998). Evolutionary social psychology. In D. T. Gilbert, S. T. Fiske, 8,: G. Lindzey (Eds.), Handbook of social psychology (4th ed., Vol. 2, pp. 982-1026). Boston: McGraw-Hill. Cowley, G. (2000). The biology of beauty. In W. A. Lesko (Ed.), Readings in social psychology: General, classic, and contemporary selections (pp. 188-194). Boston: Allyn and Bacon. Ehrlich, P. (2000). Human natures: Genes, cultures, and the human prospect. Washington, DC: Island Press. Etcoff, N. L. (1999). Survival of the prettiest: The science of beauty. New York: Doubleday. Garner, D. M., Garfinkel, P. E., Schwartz, D., & Thompson, M.. (1980). Cultural expectations, of thinness in women. Psychological Reports, 47, 483-491. Mestel, R. (1999). What's so great about 36-24-36? Health, 13, 94-97. Pearl, J. (2000). Causality causality, in philosophy, the relationship between cause and effect. A distinction is often made between a cause that produces something new (e.g., a moth from a caterpillar) and one that produces a change in an existing substance (e.g. : Models, reasoning, and inference. Cambridge, UK: Cambridge University Press Cambridge University Press (known colloquially as CUP) is a publisher given a Royal Charter by Henry VIII in 1534, and one of the two privileged presses (the other being Oxford University Press). . Singh, D. (1993). "Adaptive significance of female physical attractiveness Physical attractiveness is the perception of the physical traits of an individual human person as pleasing or beautiful. It can include various implications, such as sexual attractiveness, cuteness, and physique. : Role of waist-to-hip ratio." Journal of Personality and Social Psychology The Journal of Personality and Social Psychology (often referred to as JPSP) is a monthly psychology journal of the American Psychological Association. It is considered one of the top journals in the fields of social and personality psychology. , 65,293-307. Thornhill, R., & Palmer, C. T. (2000). A natural history of rape The concept of rape, both as an abduction and in the sexual sense (not always distinguishable), makes its first historical appearance in early religious texts. : Biological bases of sexual coercion. Cambridge, MA: The MIT MIT - Massachusetts Institute of Technology Press. Tooby, J. & L. Cosmides. (2000). Unpublished letter to the New Republic. Retrieved May 16, 2002, from http://www.psych.ucsb.edu/research/ cep/tnr.html. Wetsman, A. F. (1998). Within- and between-sex variation in human mate choice: An evolutionary perspective. Unpublished doctoral dissertation, University of California, Los Angeles UCLA comprises the College of Letters and Science (the primary undergraduate college), seven professional schools, and five professional Health Science schools. Since 2001, UCLA has enrolled over 33,000 total students, and that number is steadily rising. . Wetsman, A. F., & Marlowe, F. (1999). How universal are preferences for female waist-to-hip ratios: Evidence from the Hadza of Tanzania. Evolution and Human Behavior Evolution and Human Behavior is an interdisciplinary journal, presenting research reports and theory in which evolutionary perspectives are brought to bear on the study of human behavior. , 20, 219-228. Yu, D. W., & Shepard, G. H., Jr. (1998). Is beauty in the eye of the beholder? Nature, 396, 321-322. Jeremy Freese and Sheri Meland University of Wisconsin-Madison We thank the editor and anonymous reviewers for their helpful comments on this article. Address correspondence to Jeremy Freese, Department of Sociology Noun 1. department of sociology - the academic department responsible for teaching and research in sociology sociology department academic department - a division of a school that is responsible for a given subject , University of Wisconsin-Madison “University of Wisconsin” redirects here. For other uses, see University of Wisconsin (disambiguation). A public, land-grant institution, UW-Madison offers a wide spectrum of liberal arts studies, professional programs, and student activities. , 1180 Observatory Drive, Madison, WI 53706; e-mail: jfreese@ssc.wisc.edu. |
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