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Cognitive Studies, 23(2), 135-152. (June 2016) In reading, we are often engaged to the book, lose our self-awareness, transport ourselves into the narrative world, and have deep empathy for the characters in the books. These absorption phenomena have been characterized and classified based on reader s introspective report using the questionnaires. However this methodology relying on introspective reports alone may not be accurately enough to study the absorption: the readers in the absorption cannot reliably report their experiences, as they lose their self-awareness to some degree by definition. This motivates this study to build an alternative measures of absorption, which we can evaluate its reliability by its consistency across multiple subjective and objective measures of reader s states. We conducted two experiments by employing the first author as a subject in a natural and reader friendly situation. In the first experiment, we analyzed the cross correlation between reader s absorption ratings and statistics, CVR-R and fractal dimension, estimated from reader s heart rates. In the second experiment, we analyzed the relationship between reader s absorption ratings and bodily movements using the classification tree technique. The results of these two experiments suggest that the CVR-R and the fractal dimension estimated from heart rates, and the bodily movement can be used as alternative measures indicating the level of reader s absorption. Keywords: reading, absorption, heart rates, bodily movements 1. 1.1 Transportation (Green & Brock, 2000; Green & Carpenter, 2011) Identification (Cohen, 2001; De Graaf, Hoeken, Sanders, & Beentjes, 2012)Trait Ab- Describing Temporal Changes of Absorption with Reader s Physical Measures, by Miho Fuyama (Keio University), and Shohei Hidaka (Japan Advanced Institute of Science and Technology). sorption (Tellegen & Atkinson, 1974) 1

136 Cognitive Studies June 2016 (Csikszentmihalyi, 1990) (Green & Brock, 2002) Csikszentmihalyi (1990). (Keller, Bless, Blomann, & Kleinböhl, 2011; Gaggioli, Cipresso, Serino, & Riva, 2013; Peifer, Schulz, Schächinger, Baumann, &Antoni, 2014) 1 1 (Green & Brock, 2002; Cohen, 2001) 1 Keller et al. (2011), Peifer et al. (2014). D Mello, Chipman, and Graesser (2007) / 1.2

Vol. 23 No. 2 137 1.1 4. 3 (1) (2) (3) (1) (2) 1.1 (3) (2) 1 3 1 D Mello et al. (2007) 2 1 2 1 1 1 1 2. 1 2.1 1 1.2 3 (Keller et al., 2011; Gaggioli et al., 2013; Peifer et al., 2014) Keller et al. (2011), Gaggioli et al. (2013),

138 Cognitive Studies June 2016 Peifer et al. (2014) 1.1 D Mello et al. (2007) (2013) / / 5 2 2 2.2 2.2.1 1.2 1 1 1 10 2.2.2 9 1 2.2.3 2.2.4 No.7 8 9 Polar RS800CX R-R R-R 2 120 mybeat 2.2.5 No.1 No.5 No.6 No.9 2 2 2.4.1 30 6

Vol. 23 No. 2 139 1 1 No.1 No.7 2013 No.8 No.9 2014 No. 1 2013/ 1996 10/19 2 11/11 2003 3 11/20 2009 4 11/25 2013 5 12/2 1994 6 12/5 2009 7 12/8 225 2002 8 2014/ 1996 2/5 9 4/9 2004 / 316 8 12 134/760 313 8 11 144/735 295 8 11 114/620 498 8 14 160/1306 312 8 12 138/656 359 8 12 170/1181 282 9 10 110/644 260 8 12 154/792 146 8 10 100/356 1 ( 2, 1, 0, +1, +2) 5 D Mello et al. (2007) D Mello et al. (2007) (2013) D Mello et al. (2007) ( 2 1) (+1 +2) 0 2 1 1 +2 +1 2 No.6 5 2

140 Cognitive Studies June 2016 2 No.6 1 5 30 =2 23 16 13 5 4 =1 16 5 4 3 3 =0 48 27 18 15 14 =-1 18 7 7 5 4 =-2 44 41 36 28 26 100 R R 100 = R R 100 R-R Hidaka and Kashyap (2013, 2014) (, 2007) Kantz and Schreiber (1997). / (, 2007). (Hidaka & Kashyap, 2013, 2014) 3 2 2 2.4.2 2.3 2.3.1 Coefficient of Variation for R-R interval CVR-R 2.3.2

Vol. 23 No. 2 141 1 9 60 =0 Voss, Schulz, Schroeder, Baumert, and Caminal (2009) Hidaka and Kashyap (2013) p (Kantz & Schreiber, 1997), AIC Akaike s Information Criterion (Akaike, 1974) 1

142 Cognitive Studies June 2016 2.4 2.4.1 1 1 1 356 1306 10 10 1 1000 1 1 1 1) 1000 17 17 / 9 1 +9 3 1000 1) 9 0.026 0.013 0.017 0.018 1 0 500 500 8 8 9 1 1 0.23 0.09 0.07 0.25 0.40 0.24 9

Vol. 23 No. 2 143 2 3 No.6 2 3 2 3 20 1 3 14 () 60 1 2.2.5 No.6 No.6 3 No.6 0.05 0.15 0.07 0.11 2.4.2 2.4.1 3 AIC No.7 No.9

144 Cognitive Studies June 2016 3 No.6 No. 1 2 3 4 5 6 7 8 9 12530 8481 8125 14599 12650 13114 6295 9944 4501 CVR-R CVR-R 0.22* 0.04* 0.23* 0.12* 0.09* 0.09* 0.07* 0.25* 0.10* 0.18* 0.05* ( 0.07*) 0.15* (0.11*) 0.16* 0.22* 0.18* 0.23* 0.12* 0.11* 0.40 0.29 0.35 0.35 0.39 0.24 0.29 0.36 0.26 AIC AIC AIC logl k AIC = 2(log L k) AIC AIC = n log ( 2 /n) +2 ( ) n = AIC 4 No.7 No.9 3 No.8 No.7 No.8 2 AIC 5 p 0.0001 t No.7 No.9 No.7 No.8 9 AIC 4 /AIC AIC AIC CVR-R + + CVR-R + CVR-R + + No.7 5191.9* 5225.4 5427.5 5228.8 No.8 5931.5 5929.7* 5950.7 6301.0 No.9 5978.9* 5993.2 5999.8 6092.0 5 3 t p p<.0001 No.8 AIC CVR-R No.7 t 16.59 6.24 15.57 5.96 No.8 t 0.42 19.46 4.58 No.9 t 3.43 10.37 3.73 2.71 2.5 1 AIC (Keller et al., 2011; Gaggioli et al.,

Vol. 23 No. 2 145 2013; Peifer et al., 2014) 8 3 / / AIC No.8 No.9 No.8 3. 2 3.1 D Mello et al. (2007) (2013) 1 1 1 2 2 1 2 3.2 1 No.6 No.7 No.6 7 2 2.2.5 30 No.6 No.7 2 1 No.6 2013 12 5 No.7 12 8 1 ( 2, 1, 0, +1, +2) 5 1 100 No.6 2014 3 21 No.7 3 22

146 Cognitive Studies June 2016 6 No.6 1 13395 318 1 2 3 ( ) 13395 318 1 13445 322 2 13494 322 2 13531 324 2 2 3.3.1 100 100 2 100 2 2 1 6 30 6 1 1 6 =0 1 4 n n=10 3.3 3.3.1 2 5 5 7 No.6 No.7 100 5

Vol. 23 No. 2 147 4 No.6 - - 20 7 8 No.6 No.7 2 2 () +2 ( ) 2 1 0 +1 +2 No.6 0 0 48 86 44 No.7 21 51 45 23 0 p<.05 * No 6 7 0.729 0.551 p <.000* <.000* 3.3.2 2 72.9% 55.1% 8 2 2 2 p.0001) 4 No.7 1 - - 4 20 2 +2 28% +2 19% D Mello et al. (2007) (2013)

148 Cognitive Studies June 2016 D Mello et al. (2007) (2013) 1 1 4. 4.1 2 1 1 / 2 150 300 2 1 1 4.2 1 2 4.3 1

Vol. 23 No. 2 149 Kintsch (1988) Construction-Integration Zwaan, Langston, and Graesser (1995) Event-Indexing Gernsbacher (1997) Structure Building Structure Building Foundationlaying Mapping Shifting 3 (2015) 4.4 1 (2015) 6 1 4.5 Eco (1967) Green and Brock (2002) Flow 4.3

150 Cognitive Studies June 2016 B 23300099 Akaike, H. (1974). A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19 (6), 716 723. Cohen, J. (2001). Defining Identification: A Theoretical Look at the Identification of Audiences with Media Characters. Mass Communication & Society, 4 (3), 245 264. Csikszentmihalyi, M. (1990). Flow: The psychology of optimal experience. NewYork:Harper and Row. De Graaf, A., Hoeken, H., Sanders, J., & Beentjes, J. W. J. (2012). Identification as a Mechanism of Narrative Persuasion. Communication Research, 39 (6), 802 823. D Mello, S., Chipman, P., & Graesser, A. (2007). Posture as a predictor of learner s affective engagement. Proceedings of the 29th Annual Meeting of the Cognitive Science Society, 905 910. Eco, U. (1967). Opera aperta. Milano: Bompiani. ( ) (2002)... (2015).., 5, III3-1 8. (2013). -. SKL-16-06, 26 34. Gaggioli, A., Cipresso, P., Serino, S., & Riva, G. (2013). Psychophysiological correlates of flow during daily activities. Annual Review of Cybertherapy and Telemedicine 2013, 65 69. Gernsbacher,M.A. (1997). Two decades of structure building. Discourse Processes, 23 (3), 265 304. Green, M. C. & Brock, T. C. (2000). The role of transportation in the persuasiveness of public narratives. Journal of Personality and Social Psychology, 79 (5), 701 721. Green, M. C. & Brock, T. C. (2002). In the mind s eye: Transportation imagery model of narrativepersuasion.inm.c.green,j.j.strange, &T.C.Brock(Eds.),Narrative impact: Social and cognitive foundations, 315 341. New York: Psychology Press. Green, M. C. & Carpenter, J. M. (2011). Transporting into narrative worlds: New directions for the scientific study of literature. Scientific Study of Literature, 1 (1), 113 122. Hidaka, S. (2013). A computational model associating learning process, word attributes, and age of acquisition.. PLOS ONE, 8 (10), e76242. Hidaka, S. & Kashyap, N. (2013). On the Estimation of Pointwise Dimension. arxiv, preprint arxiv:1312.2298, Retrieved from http://arxiv.org/abs/1312.2298. Hidaka, S. & Kashyap, N. (2014). The Generalist Approach to Frame Problems. Proceedings of The Third Asian Conference on Information Systems, 318-325. Kantz,H.&Schreiber,T. (1997). Nonlinear Time Series Analysis. Cambridge, UK: Cambridge University Press. Keller, J., Bless, H., Blomann, F., & Kleinböhl, D. (2011). Physiological aspects of flow experiences: Skills-demand-compatibility effects on heart rate variability and salivary cortisol. Journal of Experimental Social Psychology, 47 (4), 849 852. Kintsch, W. (1988). The role of knowledge in discourse comprehension: A constructionintegration model. Psychological Review, 95 (2), 163 182. (2007). R-R. ( ), (4 )., 169 182. :. Peifer, C., Schulz, A., Schächinger, H., Baumann,N., &Antoni,C.H. (2014). The relation of flow-experience and physiological arousal under stress - Can u shape it?. Journal of Experimental Social Psychology, 53, 62 69. Tellegen, A. & Atkinson, G. (1974). Openness to absorbing and self-altering experiences( Ab-

Vol. 23 No. 2 151 sorption ), a trait related to hypnotic susceptibility. Journal of Abnormal Physchology, 83 (3), 268 277. Voss, a., Schulz, S., Schroeder, R., Baumert, M., & Caminal, P. (2009). Methods derived from nonlinear dynamics for analysing heart rate variability. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 367 (1887), 277 296. Young, L.-S. (1982). Dimension, entropy and Lyapunov exponents.ergodic Theory and Dynamical Systems, 2 (01), 109 124. Zwaan,R.A.,Langston,M.C., &Graesser,A.C. (1995). The Construction of Situation Models in Narrative Comprehension: An Event- Indexing Model. Psychological Science, 6 (5), 292 297. (Received 6 July 2015) (Accepted 14 Jan. 2016) ( ) 18 20 23 23 25 () 14 19 20 Indiana University 22 A. (Young, 1982) Hidaka & Kashyap (2013, 2014) (Hidaka & Kashyap, 2013) d x r B(x, r) d = lim r 0 log B(x, r) log r λ d x r x Weibull-gamma (Hidaka, 2013) P (r x n, d, λ) = dλn rx nd 1 (n 1)! ( ) exp λrx d (Hidaka & Kashyap, 2013) d, λ n- d Weibull-gamma AIC (Akaike, 1974) M (d 1,λ 1),...,(d M,λ M ) (x 1,x 2,...,x T ) (x t,x t+τ,x t+2τ,...,x t+nτ) ˆd t τ n

152 Cognitive Studies June 2016 τ 1,τ +1 n 1,n+1 τ =50 50 n =6