Abstract
In order to prove the hypothesis of sign effect in intertemporal choice experiments, the empirical studies described in the specialized literature apply univariate tests (in most cases parametric t or F tests) even when multivariate inferential procedures are more suitable according to the experimental data, the study design and the goal of the analysis. Furthermore, the used tests do not take into account the possible presence of confounding effects, very common in such kind of experimental studies. In this paper, a multivariate nonparametric method to test for sign effect in intertemporal choice is proposed. This method overcomes the mentioned limits of the tests usually applied in previous studies. A case study related to a survey performed at the University of Almeria (Spain) is presented. The methodological solution based on the nonparametric test is described and the results of its application to the data collected in the sample survey performed in Almeria are shown.
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References
Samuelson, P.A.: A note on measurement of utility. Rev. Econ. Stud. 4(2), 155–161 (1935)
Andersen, S., Harrison, G.W., Lau, M.I., Rutstrom, E.E.: Discounting behavior and the magnitude effect: evidence from a field experiment in Denmark. Economica 80, 670–697 (2013)
Benhabib, J., Bisin, A., Schotter, A.: Present-bias, quasi-hyperbolic discounting and fixed costs. Game. Econ. Behav. 69(2), 205–223 (2010)
Bocqueho, G., Jacquet, F., Reynaud, A.: Reversal and magnitude effects in long-term time preferences: results from a field experiment. Econ. Lett. 120, 108–111 (2013)
Grace, R.C., Sargisson, R.J., White, K.G.: Evidence for a magnitude effect in temporal discounting with pigeons. J. Exp. Psychol. Anim. B. 38(1), 102–108 (2012)
Green, I., Myerson, J., Oliveira, L., Chang, S.E.: Delay discounting of monetary rewards over a wide range of amounts. J. Exp. Anal. Behav. 100(3), 269–281 (2013)
Hardisty, D.J., Appelt, K.C., Weber, E.U.: Good or bad, we want it now: fixed-cost present bias for gains and losses explains magnitude asymmetries in intertemporal choice. J. Behav. Decis. Mak. 26, 348–361 (2013)
McKerchar, T.L., Pickford, S., Robertson, S.E.: Hyperboloid discounting of delayed outcomes: magnitude effects and the gain-loss asymmetry. Psychol. Rec. 63(3), 441–451 (2013)
Meyer, A.G.: The impacts of elicitation mechanism and reward size on estimated rates of time preference. J. Behav. Exp. Econ. 58, 132–148 (2015)
Mitchell, S.H., Wilson, W.B.: The subjective value of delayed and probabilistic outcomes: outcome size matters for gains but not for losses. Behav. Process. 83(1), 36–40 (2010)
Noor, J.: Intertemporal choice and the magnitude effect. Games Econ. Behav. 72, 255–270 (2011)
Scholten, M., Read, D.: Time and outcome framing in intertemporal tradeoffs. J. Exp. Psychol. Learn. 39(4), 1192–1212 (2013)
Yuki, S., Okanoya, K.: Relatively high motivation for context-evoked reward produces the magnitude effect in rats. Behav. Process. 107, 22–28 (2014)
Green, L., Fry, A.F., Myerson, J.: Discounting of delayed rewards: a life-span comparison. Psychol. Sci. 5(1), 33–36 (1994)
Arboretti, R., Bonnini, S., Corain, L., Salmaso, L.: Dependency and truncated forms of combinations in multivariate combination-based permutation tests and ordered categorical variables. J. Stat. Comput. Simul. 86(18), 3608–3619 (2016)
Bonnini, S.: Multivariate approach for comparative evaluations of customer satisfaction with application to transport services. Commun. Stat.-Simul. C 45(5), 1554–1568 (2016)
Arboretti, R., Bonnini, S., Corain, L., Vidotto, D.: Environmental odor perception: testing regional differences on heterogeneity with application to odor perceptions in the area of Este (Italy). Environmetrics 26(6), 418–430 (2015)
Bonnini, S., Prodi, N., Salmaso, L., Visentin, C.: Permutation approaches for stochastic ordering. Commun. Stat.-Theory Methods 43(10–12), 2227–2235 (2014)
Bonnini, S.: Testing for heterogeneity with categorical data: permutation solution versus bootstrap method. Commun. Stat.-Theory Methods 43(4), 906–917 (2014)
Pesarin, F., Salmaso, L.: Permutation Tests for Complex Data: Theory, Applications and Software. Wiley, Chichester (2010)
Arboretti, R., Bonnini, S., Pesarin, F.: A permutation approach for testing heterogeneity in two-sample problems. Stat. Comput. 19(2), 209–216 (2009)
Arboretti, R., Bonnini, S., Salmaso, L.: Employment status and education/employment relationship of PhD graduates from the University of Ferrara. J. Appl. Stat. 36(12), 1329–1344 (2009)
Arboretti, R., Bonnini, S.: Moment-based multivariate permutation tests for ordinal categorical data. J. Nonparametric Stat. 20(5), 383–393 (2008)
Pesarin, F.: Multivariate Permutation Tests with Applications in Biostatistics. Wiley, Chichester (2001)
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Bonnini, S., Oller, I.M.P. (2020). Test for Sign Effect in Intertemporal Choice Experiments: A Nonparametric Solution. In: La Rocca, M., Liseo, B., Salmaso, L. (eds) Nonparametric Statistics. ISNPS 2018. Springer Proceedings in Mathematics & Statistics, vol 339. Springer, Cham. https://doi.org/10.1007/978-3-030-57306-5_9
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