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Testing economic “Genetic pleiotropy” for Box-Cox linear model. (English) Zbl 07529928

Summary: Genetic pleiotropy occurs when a single gene influences two or more seemingly unrelated phenotypic traits. It is significant to detect pleiotropy and understand its causes. However, most current statistical methods to discover pleiotropy mainly test the null hypothesis that none of the traits is associated with a variant, which departures from the null to test just one associated trait or \(k\) associated traits. D. J. Schaid et al. [Genetics 204, No. 2, 483–497 (2016; doi:10.1534/genetics.116.189308)] first proposed a sequential testing framework to analyze pleiotropy based on a linear model and a multivariate normal distribution. In this paper, we analyze the Economic pleiotropy which occurs when an economic action or policy influences two or more economic phenomena. In this paper, we extend the linear model to Box-Cox transformation model and proposed a new decision method. It improves the efficiency of hypothesis test and controls the Type I error. We then apply the method using economic data to multivariate sectoral employments in response to governmental expenditures and provide a quantitative assessment and some insights of different impacts from economic policy.

MSC:

62-XX Statistics
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[1] Hubbard, R. G.; Skinner, J.; Zeldes, S. P., Precautionary saving and social insurance, Journal of Political Economy, 103, 2, 360-99 (1995) · doi:10.1086/261987
[2] Lucas, R. E. Jr., Life earnings and rural-urban migration, Journal of Political Economy, 112, Spring, 29-59 (2004) · doi:10.1086/379942
[3] Schaid, D. J.; Tong, X.; Larrabee, B.; Kennedy, R. B.; Poland, G. A.; Sinnwell, J. P., Statistical methods for testing genetic pleiotropy, Genetics, 204, 2, 483-97 (2016) · doi:10.1534/genetics.116.189308
[4] Solovieff, N.; Cotsapas, C.; Lee, P. H.; Purcell, S. M.; Smoller, J. W., Pleiotropy in complex traits: Challenges and strategies, Nature Reviews Genetics, 14, 7, 483-95 (2013) · doi:10.1038/nrg3461
[5] Yang, Q.; Wang, Y., Methods for analyzing multivariate phenotypes in genetic association studies, Journal of Probability and Statistics, 2012, 1 (2012) · Zbl 1263.62135 · doi:10.1155/2012/652569
[6] Zeldes, S. P., Optimal consumption with stochastic income: deviations from certainty equivalence, Quarterly Journal of Economics, 104, 2, 275-98 (1989) · doi:10.2307/2937848
[7] Zhao, Y., Leaving the countryside: Rural-to-urban migration decisions in China, American Economic Review, 89, 2, 281-6 (1999) · doi:10.1257/aer.89.2.281
[8] Zhang, X., Structural change through public education expenditure: Evidence from China, Contemporary Economic Policy, 37, 2, 366-388 (2018) · doi:10.1111/coep.12408
[9] Zhang, Y.; Xu, Z.; Shen, X.; Pan, W., Testing for association with multiple traits in generalized estimation equations, with application to neuroimaging data, NeuroImage, 96, Aug, 309-25 (2014) · doi:10.1016/j.neuroimage.2014.03.061
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