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1

Fahey, Donna M., and Amy Glasofer. "An inverse relationship." Nursing Critical Care 11, no. 5 (September 2016): 30–35. http://dx.doi.org/10.1097/01.ccn.0000490957.22107.50.

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2

Taylor, J. F., and M. A. Tomaszewski. "Inverse Numerator Relationship Matrix Approximation." Journal of Dairy Science 72, no. 3 (March 1989): 664–70. http://dx.doi.org/10.3168/jds.s0022-0302(89)79157-8.

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3

McCarron, David A. "Calcium: Confirming an Inverse Relationship." Hospital Practice 24, no. 2 (February 15, 1989): 229–44. http://dx.doi.org/10.1080/21548331.1989.11703668.

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4

Minami, Mihoko. "A Multivariate Extension of Inverse Gaussian Distribution Derived from Inverse Relationship." Communications in Statistics - Theory and Methods 32, no. 12 (January 12, 2003): 2285–304. http://dx.doi.org/10.1081/sta-120025379.

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5

Ke, Yuanyuan, Zhou Wang, and Jianlong Chen. "The (b,c)-inverse for products and lower triangular matrices." Journal of Algebra and Its Applications 16, no. 12 (November 20, 2017): 1750222. http://dx.doi.org/10.1142/s021949881750222x.

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Let [Formula: see text] be a semigroup and [Formula: see text]. The concept of [Formula: see text]-inverses was introduced by Drazin in 2012. It is well known that the Moore–Penrose inverse, the Drazin inverse, the Bott–Duffin inverse, the inverse along an element, the core inverse and dual core inverse are all special cases of the [Formula: see text]-inverse. In this paper, a new relationship between the [Formula: see text]-inverse and the Bott–Duffin [Formula: see text]-inverse is established. The relations between the [Formula: see text]-inverse of [Formula: see text] and certain classes of generalized inverses of [Formula: see text] and [Formula: see text], and the [Formula: see text]-inverse of [Formula: see text] are characterized for some [Formula: see text], where [Formula: see text]. Necessary and sufficient conditions for the existence of the [Formula: see text]-inverse of a lower triangular matrix over an associative ring [Formula: see text] are also given, and its expression is derived, where [Formula: see text] are regular triangular matrices.
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6

Schaeffer, L. R., B. W. Kennedy, and J. P. Gibson. "The Inverse of the Gametic Relationship Matrix." Journal of Dairy Science 72, no. 5 (May 1989): 1266–72. http://dx.doi.org/10.3168/jds.s0022-0302(89)79231-6.

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7

Tang, Yizhe, Eduardo M. Bringa, and Marc A. Meyers. "Inverse Hall–Petch relationship in nanocrystalline tantalum." Materials Science and Engineering: A 580 (September 2013): 414–26. http://dx.doi.org/10.1016/j.msea.2013.05.024.

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8

Jee, Donghyun, Ian G. Morgan, and Eun chul Kim. "Inverse relationship between sleep duration and myopia." Acta Ophthalmologica 94, no. 3 (June 1, 2015): e204-e210. http://dx.doi.org/10.1111/aos.12776.

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9

Matsunaga, Masahiro, and Hideki Ohira. "Inverse relationship between empathy and subjective happiness." Proceedings of the Annual Convention of the Japanese Psychological Association 79 (September 22, 2015): 2EV—103–2EV—103. http://dx.doi.org/10.4992/pacjpa.79.0_2ev-103.

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10

Ledochowski, Maximilian, Christian Murr, Bernhard Widner, and Dietmar Fuchs. "Inverse Relationship between Neopterin and Immunoglobulin E." Clinical Immunology 98, no. 1 (January 2001): 104–8. http://dx.doi.org/10.1006/clim.2000.4952.

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11

Doyle, David, and Timothy J. Power. "Presidential Power and Party Strength: The “Inverse Relationship” Reconsidered." Political Studies Review 18, no. 1 (July 16, 2019): 108–24. http://dx.doi.org/10.1177/1478929919862431.

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This article revisits theoretical claims that separation of power systems will display an inverse relationship between presidential power and party strength. Shugart and Carey posited this as a general equilibrium within presidential democracies; later, Shugart proposed that the inverse relationship resulted from founding institutional choices shaped in turn by modes of democratic transition. We test both the equilibrium and the genetic versions of the inverse relationship on a large- N dataset of presidential systems from 1900 to 2016. We find strong significant empirical support for an inverse relationship between executive power and party system institutionalization. However, the relationship is more dynamic than would be predicted by theories based on institutional foundings alone. Through analysis of decree reform in Argentina and Brazil, we observe changes in the expected inverse relationship despite the absence of a constitutional assembly and the lack of any change in electoral rules or party authority.
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12

Gonzalez, M. J. "Lipid peroxidation and tumor growth: an inverse relationship." Medical Hypotheses 38, no. 2 (June 1992): 106–10. http://dx.doi.org/10.1016/0306-9877(92)90081-m.

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13

Stephenson, Paul. "101.18 Proof without words: relationship between inverse cotangents." Mathematical Gazette 101, no. 551 (June 15, 2017): 300. http://dx.doi.org/10.1017/mag.2017.72.

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14

Jackson, Carl W., Shirley A. Steward, L. Keith Brown, and A. Thomas Look. "Inverse relationship between megakaryocyte buoyant density and maturity." British Journal of Haematology 64, no. 1 (September 1986): 33–43. http://dx.doi.org/10.1111/j.1365-2141.1986.tb07571.x.

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15

Minami, Mihoko. "Inverse relationship and limiting forms of lagrange distributions." Communications in Statistics - Theory and Methods 28, no. 2 (January 1999): 409–29. http://dx.doi.org/10.1080/03610929908832304.

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16

Bohnen, N., A. Twijnstra, D. Terwel, and J. Jolles. "Inverse Relationship Between Plasma Vasopressin and Intracranial Pressure." Hormone and Metabolic Research 24, no. 03 (March 1992): 141–42. http://dx.doi.org/10.1055/s-2007-1003280.

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17

Hopker, J., D. Coleman, S. Jobson, and L. Passfield. "Inverse Relationship between V˙O2max and Gross Efficiency." International Journal of Sports Medicine 33, no. 10 (May 4, 2012): 789–94. http://dx.doi.org/10.1055/s-0032-1304640.

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18

Steinmetz, H., J. F. Staiger, G. Schlaug, Yanxiong Huang, and L. Jancke. "Inverse relationship between brain size and callosal connectivity." Naturwissenschaften 83, no. 5 (May 1996): 221. http://dx.doi.org/10.1007/bf01143327.

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19

Steinmetz, H., J. F. Staiger, G. Schlaug, Yanxiong Huang, and L. J�ncke. "Inverse Relationship Between Brain Size and Callosal Connectivity." Naturwissenschaften 83, no. 5 (May 1, 1996): 221. http://dx.doi.org/10.1007/s001140050275.

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20

Rauramaa, R. "Inverse relationship between cardiorespiratory fitness and carotid atherosclerosis." Atherosclerosis 112, no. 2 (January 20, 1995): 213–21. http://dx.doi.org/10.1016/0021-9150(94)05416-g.

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21

KAWADA, Tomoyuki, and Shosuke SUZUKI. "Obesity Has an Inverse Relationship with a Depressive State." SANGYO EISEIGAKU ZASSHI 43, no. 6 (2001): A102. http://dx.doi.org/10.1539/sangyoeisei.kj00002552590.

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22

Kawada, Tomoyuki, and Shosuke Suzuki. "Obesity Has an Inverse Relationship with a Depressive State." Journal of Occupational Health 43, no. 6 (November 2001): 371–74. http://dx.doi.org/10.1539/joh.43.371.

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23

Vargas, Mario H., Juan J. Sienra-Monge, Guillermo Díaz-Mejía, and Maximiliano DeLeón-González. "Asthma and Geographical Altitude: An Inverse Relationship in Mexico." Journal of Asthma 36, no. 6 (January 1999): 511–17. http://dx.doi.org/10.3109/02770909909054557.

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24

Tsai, Amos M., Terrence J. Udovic, and Dan A. Neumann. "The Inverse Relationship between Protein Dynamics and Thermal Stability." Biophysical Journal 81, no. 4 (October 2001): 2339–43. http://dx.doi.org/10.1016/s0006-3495(01)75880-8.

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25

V??is??nen, Sari, Tuomo Rankinen, and Rainer Rauramaa. "676 INVERSE RELATIONSHIP BETWEEN ENERGY EXPENDITURE AND PLASMA INSULIN." Medicine & Science in Sports & Exercise 26, Supplement (May 1994): S121. http://dx.doi.org/10.1249/00005768-199405001-00678.

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26

Rauramaa, Raincr, Tuomo Rankincn, Hannu Litmancn, Sari V??is??nen, and Jukka T. Saloncn. "1232 INVERSE RELATIONSHIP BETWEEN CARDIORESPIRATORY FITNESS AND CAROTID ATHEROSCLEROSIS." Medicine & Science in Sports & Exercise 26, Supplement (May 1994): S219. http://dx.doi.org/10.1249/00005768-199405001-01234.

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27

Barrett, Christopher B., Marc F. Bellemare, and Janet Y. Hou. "Reconsidering Conventional Explanations of the Inverse Productivity–Size Relationship." World Development 38, no. 1 (January 2010): 88–97. http://dx.doi.org/10.1016/j.worlddev.2009.06.002.

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28

Martinati, C., and A. L. Boner. "The inverse relationship between tuberculin responses and atopic disorder." Allergy 52, no. 10 (October 1997): 1036–37. http://dx.doi.org/10.1111/j.1398-9995.1997.tb02428.x.

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29

Shafi, Khuram, Natasha Latif, Shafqat Ali Shad, and Zahra Idrees. "High-frequency trading: Inverse relationship of the financial markets." Physica A: Statistical Mechanics and its Applications 527 (August 2019): 121067. http://dx.doi.org/10.1016/j.physa.2019.121067.

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30

De Rossi, S., D. Dickinson, K. Ogbureke, J. Thoppay, I. Stern, Y. H. Ma, and S. Hsu. "Inverse Relationship of PCNA and p21 Expression in Xerostomia." Oral Surgery, Oral Medicine, Oral Pathology and Oral Radiology 114, no. 3 (September 2012): e59. http://dx.doi.org/10.1016/j.oooo.2012.05.031.

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31

Mirmiran, P., A. Esmaillzadeh, and F. Azizi. "Dairy consumption and body mass index: an inverse relationship." International Journal of Obesity 29, no. 1 (November 9, 2004): 115–21. http://dx.doi.org/10.1038/sj.ijo.0802838.

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32

Assunção, Juliano J., and Luis H. B. Braido. "Testing Household‐Specific Explanations for the Inverse Productivity Relationship." American Journal of Agricultural Economics 89, no. 4 (November 2007): 980–90. http://dx.doi.org/10.1111/j.1467-8276.2007.01032.x.

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33

Keck, Pall E., Joseph F. Lipinski, and Kerrin White. "An Inverse Relationship Between Mania and Obsessive-Compulsive Disorder." Journal of Clinical Psychopharmacology 6, no. 2 (April 1986): 123???124. http://dx.doi.org/10.1097/00004714-198604000-00022.

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34

Wang, Jinying, Ruiqi Zhao, Mingmei Yang, Zhongfan Liu, and Zhirong Liu. "Inverse relationship between carrier mobility and bandgap in graphene." Journal of Chemical Physics 138, no. 8 (February 28, 2013): 084701. http://dx.doi.org/10.1063/1.4792142.

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35

&NA;. "Is There an Inverse Relationship Between Osteoporosis and Osteoarthritis?" Lippincottʼs Bone and Joint Newsletter 19, no. 8 (September 2013): 90–91. http://dx.doi.org/10.1097/01.bonej.0000434368.37926.70.

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36

Benjamin, Dwayne. "Can unobserved land quality explain the inverse productivity relationship?" Journal of Development Economics 46, no. 1 (February 1995): 51–84. http://dx.doi.org/10.1016/0304-3878(94)00048-h.

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37

Bergamaschi, Roberto, Simona Villani, Massimo Crabbio, Michela Ponzio, Alfredo Romani, Anna Verri, Valeria Bargiggia, and Vittorio Cosi. "Inverse relationship between multiple sclerosis and allergic respiratory diseases." Neurological Sciences 30, no. 2 (March 4, 2009): 115–18. http://dx.doi.org/10.1007/s10072-009-0036-8.

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38

Saito, Tatsuhiko. "Relationship between the inverse transversals of a regular semigroup." Semigroup Forum 33, no. 1 (December 1986): 245–50. http://dx.doi.org/10.1007/bf02573196.

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39

Zhu, Lanping, Changpeng Zhu, and Qianglian Huang. "On the uniform boundedness and convergence of generalized, Moore-Penrose and group inverses." Filomat 31, no. 19 (2017): 5993–6003. http://dx.doi.org/10.2298/fil1719993z.

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This paper concerns the relationship between uniform boundedness and convergence of various generalized inverses. Using the stable perturbation for generalized inverse and the gap between closed linear subspaces, we prove the equivalence of the uniform boundedness and convergence for generalized inverses. Based on this, we consider the cases for the Moore-Penrose inverses and group inverses. Some new and concise expressions and convergence theorems are provided. The obtained results extend and improve known ones in operator theory and matrix theory.
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40

Ergün, Nalan. "Research Concerning Passenger Mobbing on Security Personnel and Its Effect on Their Job Satisfaction in Air Transportation." International Journal of Aviation Systems, Operations and Training 1, no. 2 (July 2014): 77–84. http://dx.doi.org/10.4018/ijasot.2014070106.

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The aim of this study is to find out the relationship between the degree of security staff being subjected to passenger mobbing and their job satisfaction. As a result of the analysis of data from 919 security staff working at the checkpoints of Turkey Istanbul Atatürk Airport, a significant but inverse relationship is identified between the level of mobbing and job satisfaction. Furthermore, the results of the analysis carried out to find the relationships among the mobbing subdimensions and job satisfaction point to a significant and inverse correlation between “attacks on reputation” and “attacks on communication” mobbing subdimensions and job satisfaction. No relationship is found between the “attacks on physical and psychological health” mobbing subdimension and job satisfaction.
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41

He, Youliang, Stephane Godet, and John J. Jonas. "Observations of the Gibeon meteorite and the inverse Greninger–Troiano orientation relationship." Journal of Applied Crystallography 39, no. 1 (January 12, 2006): 72–81. http://dx.doi.org/10.1107/s0021889805038276.

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All the possible parallelism conditions associated with low-index crystallographic planes and directions in face- and body-centred cubic crystals are enumerated in terms of their minimum angle–axis misorientations. These include the Kurdjumov–Sachs (K-S), Nishiyama–Wassermann (N-W) and Pitsch orientation relationships, which are expressed in terms of close-packed (and near-close-packed) planes, close-packed directions, or both in the two crystal systems. By classifying these into either coplanar or codirectional relationships, it is possible to specify intermediate relations with either high-index directions or planes. In such a way, the Greninger–Troiano (G-T) relationship is approximated as a coplanar relation lying between the K-S and N-W relations. Based on geometric symmetry, a further correspondence relationship, which falls into the codirectional category and is located between the K-S and Pitsch relations, is represented both in pole-figure form and in Rodrigues–Frank space. It is referred to here as the inverse G-T, or G-T′. Experimental evidence from the plessite regions of the Gibeon meteorite is presented to support the validity of this relationship. It is shown that, in plessite, all the well known models, as well as their intermediates, are applicable to the γ-to-α transformation. By contrast, in the Widmanstätten portions, the misorientations are largely limited to the K-S, G-T and N-W relations.
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42

Baes, C., and N. Reinsch. "Computing the condensed conditional gametic QTL relationship matrix and its inverse." Archives Animal Breeding 50, no. 3 (October 10, 2007): 294–308. http://dx.doi.org/10.5194/aab-50-294-2007.

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Abstract. The inverse of the conditional gametic relationship matrix (G-1) for a marked quantitative trait locus (MQTL) is required for estimation of gametic effects in best linear unbiased prediction (BLUP) of breeding values if marker data are available. Calculation of the "condensed" gametic relationship matrix G* – a version of G where linear dependencies have been removed – and its inverse G*-1 is described using a series of simplified equations following a known algorithm. The software program COBRA (covariance between relatives for a marked QTL) is introduced, and techniques for storing and computing the condensed gametic relationship matrix G* and the non-zero elements of its inverse are discussed. The program operates with both simple pedigrees and those augmented by transmission probabilities derived from marker data. Using sparse matrix storage techniques, G* and its inverse can be efficiently stored in computer memory. COBRA is written in FORTRAN 90/95 and runs on a variety of computers. Pedigree data and information for a single MQTL in the German Holstein population are used to test the efficiency of the program.
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43

Cheng, Shen, Zhihao Zheng, and Shida Henneberry. "Farm size and use of inputs: explanations for the inverse productivity relationship." China Agricultural Economic Review 11, no. 2 (May 7, 2019): 336–54. http://dx.doi.org/10.1108/caer-09-2018-0192.

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Purpose The relationship between farm size and land productivity is a hotly debated issue in the study of agricultural economics and development economics. The purpose of this paper is to explore the causes leading to the inverse productivity relationship by examining the relationship between farm size and factor inputs. Design/methodology/approach With a large panel data set of farm households in China during 2010–2011, this study uses the factor demand models to examine the relationship between farm size and per-mu labor and non-labor inputs while employing a stochastic frontier production function in determining the difference of labor efforts in farming operation across farm sizes. Moreover, the models for value-added margins and profits are used to further determine producer behavior of small-size farms. Findings Results of this study show that, as compared to larger farms, smaller farms not only utilize more labor and non-labor inputs per mu, but also benefit from a higher labor effort. Moreover, smaller farms concentrate more on grain output and cash costs while focusing less on the family labor input costs in an effort to maximize value-added margins rather than profits. The higher yields on smaller farms are thus a result of the utilization of a relatively higher level of labor and non-labor inputs along with skilled-oriented precision farming technology. The inverse productivity relationship is explained by the behavior of small-size producers with employment constraints, leading to smaller farms generating a higher yield than larger farms. Originality/value While Sen (1966), Feder (1985), Eswaran and Kotwal (1986) and others have theoretically derived the causal relationship between the incomplete factor markets, especially incomplete labor markets, and the inverse productivity, empirical studies to test the causal relationships are limited. In particular, a solid foundation based on an empirical analysis is lacking when it comes to explaining the inverse productivity in China. Results of this study are expected to have significant policy implications in terms of the understanding of small-size producer behavior and the associated mechanism underlying the inverse relationship between farm size and land productivity.
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44

Meyer, K., B. Tier, and H. U. Graser. "Technical note: Updating the inverse of the genomic relationship matrix1." Journal of Animal Science 91, no. 6 (June 1, 2013): 2583–86. http://dx.doi.org/10.2527/jas.2012-6056.

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45

Aref, Adel T., Andrew D. Vincent, Michael E. O’Callaghan, Sean A. Martin, Peter D. Sutherland, Andrew J. Hoy, Lisa M. Butler, and Gary A. Wittert. "The inverse relationship between prostate specific antigen (PSA) and obesity." Endocrine-Related Cancer 25, no. 11 (November 2018): 933–41. http://dx.doi.org/10.1530/erc-17-0438.

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Obese men have lower serum prostate-specific antigen (PSA) than comparably aged lean men, but the underlying mechanism remains unclear. The aim of this study was to determine the effect of obesity on PSA and the potential contributing mechanisms. A cohort of 1195 men aged 35 years and over at recruitment, with demographic, anthropometric (BMI, waist circumference (WC)) and serum hormone (serum testosterone, estradiol (E2)) PSA and hematology assessments obtained over two waves was assessed. Men with a history of prostate cancer or missing PSA were excluded, leaving 970 men for the final analysis. Mixed-effects regressions and mediation analyses adjusting for hormonal and volumetric factors explore the potential mechanisms relating obesity to PSA. After adjusting for age, PSA levels were lower in men with greater WC (P = 0.001). In a multivariable model including WC, age, E2/testosterone and PlasV as predictors, no statistically significant associations were observed between with PSA and either WC (P = 0.36) or PlasV (P = 0.49), while strong associations were observed with both E2/testosterone (P < 0.001) and age (P < 0.001). In the mediation analyses with PlasV as the mediator, the average causal mediation effect (ACME) explained roughly 20% of the total effect of WC on PSA (P = 0.31), while when E2/testosterone is a mediator, the ACME explained roughly 50% of the effect (P < 0.001). Our findings indicate that lower PSA levels in obese men, as compared to normal weight men, can be explained both by hormonal changes (elevated E2/testosterone ratio) and hemodilution. Hormonal factors therefore represent a substantial but underappreciated mediating pathway.
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46

Ameli, Franco, Fabio Brocchetti, Maria Angela Tosca, Alessio Signori, and Giorgio Ciprandi. "Adenoidal Hypertrophy and Allergic Rhinitis: Is There an Inverse Relationship?" American Journal of Rhinology & Allergy 27, no. 1 (January 2013): e5-e10. http://dx.doi.org/10.2500/ajra.2013.27.3854.

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47

Barrett, Christopher B. "On price risk and the inverse farm size-productivity relationship." Journal of Development Economics 51, no. 2 (December 1996): 193–215. http://dx.doi.org/10.1016/s0304-3878(96)00412-9.

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48

Reusch, J. E., K. E. Sussman, and B. Draznin. "Inverse relationship between GLUT-4 phosphorylation and its intrinsic activity." Journal of Biological Chemistry 268, no. 5 (February 1993): 3348–51. http://dx.doi.org/10.1016/s0021-9258(18)53700-5.

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49

Quaratino, C. P., and A. Giacomello. "Inverse relationship between serum triglyceride levels and fractional urate excretion." Clinical Biochemistry 30, no. 3 (April 1997): 256. http://dx.doi.org/10.1016/s0009-9120(97)87689-8.

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50

Ruest, Stephanie, Annie Gjelsvik, Max Rubinstein, and Siraj Amanullah. "The Inverse Relationship between Digital Media Exposure and Childhood Flourishing." Journal of Pediatrics 197 (June 2018): 268–74. http://dx.doi.org/10.1016/j.jpeds.2017.12.016.

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