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1

Hennevin, Elizabeth, and Bernard Hars. "Second-order conditioning during sleep." Psychobiology 20, no. 2 (June 1992): 166–76. http://dx.doi.org/10.3758/bf03327177.

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2

Tabone, C. J., and J. S. de Belle. "Second-order conditioning in Drosophila." Learning & Memory 18, no. 4 (March 25, 2011): 250–53. http://dx.doi.org/10.1101/lm.2035411.

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3

Witnauer, James E., and Ralph R. Miller. "Some determinants of second-order conditioning." Learning & Behavior 39, no. 1 (September 24, 2010): 12–26. http://dx.doi.org/10.1007/s13420-010-0002-6.

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4

Winterbauer, Neil E., and Bernard W. Balleine. "Motivational Control of Second-Order Conditioning." Journal of Experimental Psychology: Animal Behavior Processes 31, no. 3 (2005): 334–40. http://dx.doi.org/10.1037/0097-7403.31.3.334.

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5

Jara, Elvia, Javier Vila, and Antonio Maldonado. "Second-order conditioning of human causal learning." Learning and Motivation 37, no. 3 (August 2006): 230–46. http://dx.doi.org/10.1016/j.lmot.2005.12.001.

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6

URUSHIHARA, Kouji. "Classical backward conditioning in second-order conditioning in rat's conditioned suppression." Japanese Journal of Animal Psychology 50, no. 1 (2000): 27–31. http://dx.doi.org/10.2502/janip.50.27.

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7

Helmstetter, Fred J., and Michael S. Fanselow. "Differential second-order aversive conditioning using contextual stimuli." Animal Learning & Behavior 17, no. 2 (June 1989): 205–12. http://dx.doi.org/10.3758/bf03207636.

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8

Craddock, Paul, Jessica S. Wasserman, Cody W. Polack, Thierry Kosinski, Charlotte Renaux, and Ralph R. Miller. "Associative structure of second-order conditioning in humans." Learning & Behavior 46, no. 2 (November 3, 2017): 171–81. http://dx.doi.org/10.3758/s13420-017-0299-5.

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9

Pineño, Oskar, Jessica M. Zilski, and Todd R. Schachtman. "Second-order conditioning during a compound extinction treatment." Learning and Motivation 38, no. 2 (May 2007): 172–92. http://dx.doi.org/10.1016/j.lmot.2006.08.004.

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10

Mowrer, Robert R., Douglas E. Krug, and Stephen B. Klein. "Backward Second-Order Conditioning in Flavor Aversion Learning." Psychological Record 38, no. 2 (April 1988): 259–69. http://dx.doi.org/10.1007/bf03395022.

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11

Margarita Alexomanolaki, Chris Kennett, and Catherine Loveday. "Music as First-Order and Second-Order Conditioning in TV Commercials." Music and the Moving Image 3, no. 2 (2010): 39. http://dx.doi.org/10.5406/musimoviimag.3.2.0039.

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12

Cook, Michael, and Susan Mineka. "Second-order conditioning and overshadowing in the observational conditioning of fear in monkeys." Behaviour Research and Therapy 25, no. 5 (1987): 349–64. http://dx.doi.org/10.1016/0005-7967(87)90013-1.

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13

Bevins, Rick A., Timothy A. Delzer, and Michael T. Bardo. "Second-order conditioning detects unexpressed morphine-induced salt aversion." Animal Learning & Behavior 24, no. 2 (June 1996): 221–29. http://dx.doi.org/10.3758/bf03198970.

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14

Barnet, Robert C., Robert P. Cole, and Ralph R. Miller. "Temporal integration in second-order conditioning and sensory preconditioning." Animal Learning & Behavior 25, no. 2 (June 1997): 221–33. http://dx.doi.org/10.3758/bf03199061.

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15

Hussaini, S. A., B. Komischke, R. Menzel, and H. Lachnit. "Forward and backward second-order Pavlovian conditioning in honeybees." Learning & Memory 14, no. 10 (October 1, 2007): 678–83. http://dx.doi.org/10.1101/lm.471307.

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16

Cicala, George A., Julian L. Azorlosa, Lorna B. Estall, and Steven J. Grant. "Endogenous Opioids Interfere with Pavlovian Second-Order Fear Conditioning." Psychological Science 1, no. 5 (September 1990): 312–15. http://dx.doi.org/10.1111/j.1467-9280.1990.tb00224.x.

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17

Gibbs, Charles M., Valerie Cool, Tamio Land, E. James Kehoe, and I. Gormezano. "Second-order conditioning of the rabbit’s nictitating membrane response." Integrative Physiological and Behavioral Science 26, no. 4 (October 1991): 282–95. http://dx.doi.org/10.1007/bf02691064.

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18

Barnet, Robert C., H. Moore Arnold, and Ralph R. Miller. "Simultaneous conditioning demonstrated in second-order conditioning: Evidence for similar associative structure in forward and simultaneous conditioning." Learning and Motivation 22, no. 3 (August 1991): 253–68. http://dx.doi.org/10.1016/0023-9690(91)90008-v.

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19

Coureaud, Gérard, Nina Colombel, Patricia Duchamp-Viret, and Guillaume Ferreira. "Higher-order trace conditioning in newborn rabbits." Learning & Memory 29, no. 10 (September 30, 2022): 349–54. http://dx.doi.org/10.1101/lm.053607.122.

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Temporal contingency is a key factor in associative learning but remains weakly investigated early in life. Few data suggest simultaneous presentation is required for young to associate different stimuli, whereas adults can learn them sequentially. Here, we investigated the ability of newborn rabbits to perform sensory preconditioning and second-order conditioning using trace intervals between odor presentations. Strikingly, pups are able to associate odor stimuli with 10- and 30-sec intervals in sensory preconditioning and second-order conditioning, respectively. The effectiveness of higher-order trace conditioning in newborn rabbits reveals that very young animals can display complex learning despite their relative immaturity.
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20

Prével, Arthur, Vinca Rivière, Jean-Claude Darcheville, Gonzalo P. Urcelay, and Ralph R. Miller. "Excitatory second-order conditioning using a backward first-order conditioned stimulus: A challenge for prediction error reduction." Quarterly Journal of Experimental Psychology 72, no. 6 (August 21, 2018): 1453–65. http://dx.doi.org/10.1177/1747021818793376.

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Prével and colleagues reported excitatory learning with a backward conditioned stimulus (CS) in a conditioned reinforcement preparation. Their results add to existing evidence of backward CSs sometimes being excitatory and were viewed as challenging the view that learning is driven by prediction error reduction, which assumes that only predictive (i.e., forward) relationships are learned. The results instead were consistent with the assumptions of both Miller’s Temporal Coding Hypothesis and Wagner’s Sometimes Opponent Processes (SOP) model. The present experiment extended the conditioned reinforcement preparation developed by Prével et al. to a backward second-order conditioning preparation, with the aim of discriminating between these two accounts. We tested whether a second-order CS can serve as an effective conditioned reinforcer, even when the first-order CS with which it was paired is a backward CS that elicits no responding. Evidence of conditioned reinforcement was found, despite no conditioned response (CR) being elicited by the first-order backward CS. The evidence of second-order conditioning in the absence of excitatory conditioning to the first-order CS is interpreted as a challenge to SOP. In contrast, the present results are consistent with the Temporal Coding Hypothesis and constitute a conceptual replication in humans of previous reports of excitatory second-order conditioning in rodents with a backward CS. The proposal is made that learning is driven by “discrepancy” with prior experience as opposed to “ prediction error.”
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21

Taniuchi, Tohru, and Misaki Amaya. "Absence of second-order conditioning in Japanese fire-bellied newts." Proceedings of the Annual Convention of the Japanese Psychological Association 82 (September 25, 2018): 1AM—080–1AM—080. http://dx.doi.org/10.4992/pacjpa.82.0_1am-080.

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22

Crawford, Lawrence L., and Michael Domjan. "Second-order sexual conditioning in male Japanese quail (Coturnix japonica)." Animal Learning & Behavior 23, no. 3 (September 1995): 327–34. http://dx.doi.org/10.3758/bf03198929.

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23

Zamble, Edward, G. Marilyn Hadad, John B. Mitchell, and Tim R. H. Cutmore. "Pavlovian conditioning of sexual arousal: First- and second-order effects." Journal of Experimental Psychology: Animal Behavior Processes 11, no. 4 (October 1985): 598–610. http://dx.doi.org/10.1037/0097-7403.11.4.598.

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24

Williams, Douglas A., and Jennifer L. Hurlburt. "Mechanisms of second-order conditioning with a backward conditioned stimulus." Journal of Experimental Psychology: Animal Behavior Processes 26, no. 3 (2000): 340–51. http://dx.doi.org/10.1037/0097-7403.26.3.340.

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25

Holland, Peter C. "Enhancing second-order conditioning with lesions of the basolateral amygdala." Behavioral Neuroscience 130, no. 2 (April 2016): 176–81. http://dx.doi.org/10.1037/bne0000129.

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26

Jennings, Dómhnall, and Kimberly Kirkpatrick. "Temporal map formation in appetitive second-order conditioning in rats." Behavioural Processes 154 (September 2018): 60–72. http://dx.doi.org/10.1016/j.beproc.2018.02.001.

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27

Gauvin, D. V., C. A. Sannerud, and F. A. Holloway. "Second-order (environmental) conditioning of a taste aversion in rats." Behavioural Pharmacology 3, no. 3 (June 1992): 249???254. http://dx.doi.org/10.1097/00008877-199206000-00008.

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28

Barnet, Robert C., Nicholas J. Grahame, and Ralph R. Miller. "Comparing the magnitudes of second-order conditioning and sensory preconditioning effects." Bulletin of the Psychonomic Society 29, no. 2 (February 1991): 133–35. http://dx.doi.org/10.3758/bf03335215.

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29

Siddle, David A. T., Nigel W. Bond, and Rena Friswell. "Effects of Stimulus Content on Second-Order Electrodermal Conditioning in Humans." Psychophysiology 24, no. 4 (July 1987): 439–48. http://dx.doi.org/10.1111/j.1469-8986.1987.tb00314.x.

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30

Gewirtz, Jonathan C., and Michael Davis. "Second-order fear conditioning prevented by blocking NMDA receptors in amygdala." Nature 388, no. 6641 (July 1997): 471–74. http://dx.doi.org/10.1038/41325.

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31

Yin, Hua, Robert C. Barnet, and Ralph R. Miller. "Second-order conditioning and Pavlovian conditioned inhibition: Operational similarities and differences." Journal of Experimental Psychology: Animal Behavior Processes 20, no. 4 (1994): 419–28. http://dx.doi.org/10.1037/0097-7403.20.4.419.

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32

Jódar, L., E. Ponsoda, and M. Legua Fernández. "Well-conditioning for variable coefficient second order boundary value difference systems." Computers & Mathematics with Applications 31, no. 12 (June 1996): 35–48. http://dx.doi.org/10.1016/0898-1221(96)00074-0.

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33

Pautassi, Ricardo Marcos, Mallory Myers, Linda Patia Spear, Juan Carlos Molina, and Norman E. Spear. "Ethanol induces second-order aversive conditioning in adolescent and adult rats." Alcohol 45, no. 1 (February 2011): 45–55. http://dx.doi.org/10.1016/j.alcohol.2010.10.004.

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34

Roelant, Raf, Denis Constales, Roger Van Keer, and Guy B. Marin. "Second-order statistical regression and conditioning of replicate transient kinetic data." Chemical Engineering Science 63, no. 7 (April 2008): 1850–65. http://dx.doi.org/10.1016/j.ces.2007.12.012.

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35

Hawkins, Robert D., Winifred Greene, and Eric R. Kandel. "Classical conditioning, differential conditioning, and second-order conditioning of the Aplysia gill-withdrawal reflex in a simplified mantle organ preparation." Behavioral Neuroscience 112, no. 3 (1998): 636–45. http://dx.doi.org/10.1037/0735-7044.112.3.636.

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36

Sticht, Martin A., Zoe K. Leach, James C. Wilson, and Linda A. Parker. "Second-order conditioning of LiCl-induced gaping with flavor and contextual cues." Learning & Behavior 43, no. 1 (December 25, 2014): 95–100. http://dx.doi.org/10.3758/s13420-014-0164-8.

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37

McDannald, Michael A., Barry Setlow, and Peter C. Holland. "Effects of ventral striatal lesions on first- and second-order appetitive conditioning." European Journal of Neuroscience 38, no. 4 (May 20, 2013): 2589–99. http://dx.doi.org/10.1111/ejn.12255.

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38

Marlin, Nancy A. "Devaluation of a Contextual Conditioned Stimulus (S1) in Second-Order Conditioning in Rats." American Journal of Psychology 99, no. 4 (1986): 471. http://dx.doi.org/10.2307/1422286.

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39

Blair, M. Elizabeth, and Terence A. Shimp. "Consequences of an Unpleasant Experience with Music: A Second-Order Negative Conditioning Perspective." Journal of Advertising 21, no. 1 (March 1992): 35–43. http://dx.doi.org/10.1080/00913367.1992.10673358.

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40

Loy, Ignacio, Vanesa Fernández, and Félix Acebes. "Conditioning of tentacle lowering in the snail (Helix aspersa): Acquisition, latent inhibition, overshadowing, second-order conditioning, and sensory preconditioning." Learning & Behavior 34, no. 3 (August 2006): 305–14. http://dx.doi.org/10.3758/bf03192885.

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41

Karazinov, Danielle M., and Robert A. Boakes. "Second-order conditioning in human predictive judgements when there is little time to think." Quarterly Journal of Experimental Psychology 60, no. 3 (March 2007): 448–60. http://dx.doi.org/10.1080/17470210601002488.

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42

Meng, Hu, Jiang-Yuan Li, and Yong-Huai Tang. "Virtual Instrument for Determining Rate Constant of Second-Order Reaction bypXBased on LabVIEW 8.0." Journal of Automated Methods and Management in Chemistry 2009 (2009): 1–7. http://dx.doi.org/10.1155/2009/849704.

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The virtual instrument system based on LabVIEW 8.0 for ion analyzer which can measure and analyze ion concentrations in solution is developed and comprises homemade conditioning circuit, data acquiring board, and computer. It can calibrate slope, temperature, and positioning automatically. When applied to determine the reaction rate constant bypX, it achieved live acquiring, real-time displaying, automatical processing of testing data, generating the report of results; and other functions. This method simplifies the experimental operation greatly, avoids complicated procedures of manual processing data and personal error, and improves veracity and repeatability of the experiment results.
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43

Wessa, Michèle, and Herta Flor. "Failure of Extinction of Fear Responses in Posttraumatic Stress Disorder: Evidence From Second-Order Conditioning." American Journal of Psychiatry 164, no. 11 (November 2007): 1684–92. http://dx.doi.org/10.1176/appi.ajp.2007.07030525.

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44

Lee, Jessica C., and Evan J. Livesey. "Second-Order Conditioning and Conditioned Inhibition: Influences of Speed versus Accuracy on Human Causal Learning." PLoS ONE 7, no. 11 (November 28, 2012): e49899. http://dx.doi.org/10.1371/journal.pone.0049899.

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45

Jeong, Hae-Gwang, Gwang-Seob Kim, and Kyo-Beum Lee. "Second-Order Harmonic Reduction Technique for Photovoltaic Power Conditioning Systems Using a Proportional-Resonant Controller." Energies 6, no. 1 (January 2, 2013): 79–96. http://dx.doi.org/10.3390/en6010079.

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46

Hosoya, Yuzo, Yoshihiko Tsukuda, and Nobuhiko Terui. "Ancillarity and the Limited Information Maximum-Likelihood Estimation of a Structural Equation in a Simultaneous Equation System." Econometric Theory 5, no. 3 (December 1989): 385–404. http://dx.doi.org/10.1017/s0266466600012585.

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The concepts of the curved exponential family of distributions and ancillarity are applied to estimation problems of a single structural equation in a simultaneous equation model, and the effect of conditioning on ancillary statistics on the limited information maximum-likelihood (LIML) estimator is investigated. The asymptotic conditional covariance matrix of the LIML estimator conditioned on the second-order asymptotic maximal ancillary statistic is shown to be efficiently estimated by Liu and Breen's formula. The effect of conditioning on a second-order asymptotic ancillary statistic, i.e., the smallest characteristic root associated with the LIML estimation, is analyzed by means of an asymptotic expansion of the distribution as well as the exact distribution. The smallest root helps to give an intuitively appealing measure of precision of the LIML estimator.
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47

Vogels, Ingrid M. L. C., Astrid M. L. Kappers, and Jan J. Koenderink. "Haptic Aftereffect of Curved Surfaces." Perception 25, no. 1 (January 1996): 109–19. http://dx.doi.org/10.1068/p250109.

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A haptic aftereffect of curved surfaces is demonstrated. Two spherical surfaces were presented sequentially to human subjects. They rested one hand on the first (conditioning) surface. After a fixed conditioning period they transferred their hand to the second (test) surface and judged whether the test surface was convex or concave. In experiment 1 the curvature of the conditioning surface was varied; the subject's judgment of convexity or concavity of the test surface was strongly shifted in the direction opposite to the curvature of the conditioning surface (negative aftereffect). Therefore, subjects judged a flat surface to be concave after being exposed to a convex surface. After a conditioning period of 5 s the shift was about 20% of the curvature of the conditioning surface. In experiment 2 the duration of the conditioning period was varied; the magnitude of the aftereffect could be described by a first-order integrator with a time constant of 2 s. In experiment 3 the time interval between the conditioning period and the touching of the second surface was varied; the magnitude of the aftereffect could be described by an exponential decay with a time constant of 40 s. It is concluded that the haptic aftereffect of curved surfaces is an important effect that occurs almost instantaneously and lasts for an appreciable period.
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48

URUSHIHARA, Kouji, and Hiroshi IMADA. "Effect of temporal relationship between the first-order conditioned stimulus and the unconditioned stimulus on classical second-order conditioning in rats." Japanese Journal of Animal Psychology 49, no. 2 (1999): 161–70. http://dx.doi.org/10.2502/janip.49.161.

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49

Stout, Steven, Martha Escobar, and Ralph R. Miller. "Trial number and compound stimuli temporal relationship as joint determinants of second-order conditioning and conditioned inhibition." Animal Learning & Behavior 32, no. 2 (May 2004): 230–39. http://dx.doi.org/10.3758/bf03196024.

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50

Topál, József, and Vilmos Csányi. "Interactive learning in the paradise fish ( Macropodus opercularis ): an ethological interpretation of the second-order conditioning paradigm." Animal Cognition 2, no. 4 (December 3, 1999): 197–206. http://dx.doi.org/10.1007/s100710050040.

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