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ERIC EJ941692: Examination of the Influence of Contingency on Changes in Reinforcer Value PDF

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JOURNALOFAPPLIEDBEHAVIORANALYSIS 2011, 44, 543–558 NUMBER3 (FALL2011) EXAMINATION OF THE INFLUENCE OF CONTINGENCY ON CHANGES IN REINFORCER VALUE ISER G. DELEON KENNEDYKRIEGERINSTITUTE ANDJOHNSHOPKINSUNIVERSITYSCHOOLOFMEDICINE MEAGAN K. GREGORY KENNEDYKRIEGERINSTITUTE MICHELLE A. FRANK-CRAWFORD KENNEDYKRIEGERINSTITUTE ANDUNIVERSITYOFMARYLAND,BALTIMORECOUNTY MELISSA J. ALLMAN KENNEDYKRIEGERINSTITUTE ANDJOHNSHOPKINSUNIVERSITYSCHOOLOFMEDICINE ARTHUR E. WILKE CENTERFORAUTISMANDRELATEDDISORDERS,INC. ABBEY B. CARREAU-WEBSTER KENNEDYKRIEGERINSTITUTE ANDUNIVERSITYOFMARYLAND,BALTIMORECOUNTY AND MANDY M. TRIGGS KENNEDYKRIEGERINSTITUTE This study examined how the amount of effort required to produce a reinforcer influenced subsequent preference for, and strength of, that reinforcer in 7 individuals with intellectual disabilities. Preference assessments identified four moderately preferred stimuli for each participant, and progressive-ratio (PR) analyses indexed reinforcer strength. Stimuli were then assigned to one of four conditions for 4 weeks: fixed-ratio (FR) 1 schedule, escalating FR schedule,yokednoncontingent(NCR)delivery,andrestrictedaccess.Preferenceassessmentsand PR schedules were then repeated to examine changes in selection percentages and PR break points. Selection percentages decreased for all NCR stimuli but increased for most of the restricted stimuli. There were no systematic changes in selection percentages for either of the contingent stimuli. Break points increased, on average, for all conditions, but the increase was highestfortherestrictedstimuliandlowestfortheNCRstimuli.Theseresultsarediscussedin relationtorecent basic research addressing the influence ofefforton stimulus value. Research and manuscript preparation were supported by Grant R03 MH072845 from the National Institute of MentalHealth(NIMH)andGrantR01HD049753fromtheEuniceK.ShriverNationalInstituteofChildHealthand HumanDevelopment(NICHD).Itscontentsaresolelytheresponsibilityoftheauthorsanddonotnecessarilyrepresent theofficial views ofNIMH or NICHD. Address correspondence to Iser G. DeLeon, Neurobehavioral Unit, Kennedy Krieger Institute, 707 N. Broadway, Baltimore,Maryland 21205(e-mail: [email protected]). doi:10.1901/jaba.2011.44-543 543 544 ISER G. DELEON et al. Key words: noncontingent reinforcement, preference assessments, progressive-ratio analysis, stimulus value _______________________________________________________________________________ One important observation that has emerged 2007, p. 275). One sort of relatively aversive from the literature on stimulus preference is event is the amount of effort required to that preferences can change over time and produce the stimuli. Thus, stimuli reliably experience (Hanley, Iwata, & Roscoe, 2006). preceded by greater effort become preferred Items or events identified as more preferred on over stimuli preceded by less effort (e.g., oneoccasionmaybelesspreferredonaseparate Clement et al., 2000; Friedrich & Zentall, occasion (Lohrmann-O’Rourke & Browder, 2004; Johnson & Gallagher, 2011; Kacelnik & 1998; Mason, McGee, Farmer-Dougan, & Marsh, 2002; Klein, Bhatt, & Zentall, 2005). Risley, 1989; Zhou, Iwata, Goff, & Shore, Although some experimenters have been unable 2001). These fluctuations in stimulus prefer- to replicate this effect (e.g., Arantes & Grace, ence sometimes translate into fluctuations in 2008; Vasconcelos, Urcuioli, & Lionello-De- reinforcer effectiveness (e.g., DeLeon et al., nolf, 2007), most studies that have examined 2001). within-trial contrast effects have observed Although preferences are dynamic, few positive instances (Zentall & Singer, 2007b). studies have directly examined the variables If increases in the effort historically associated that influence the stability of preferences or with earning a stimulus are positively related durability of reinforcers. The exceptions have with the subsequent value of that stimulus often examined the local effects of satiation and relative to others, it follows that changes in deprivation on preference assessment outcomes stimulus value over time may vary systemati- (Gottschalk, Libby, & Graff, 2000; Hanley, cally as a function of whether the stimuli were Tiger, Ingvarsson, & Cammilleri, 2009; Mc- delivered in a contingent (higher effort) or Adametal.,2005).Thesestudieshavegenerally noncontingent (lower effort) fashion. revealed that stimulus deprivation can increase Research on changes in the value of a preference rankings and satiation can decrease stimulus given past effort generally has exam- preference rankings. For example, Hanley et al. ined the effects of these manipulations on (2006) observed that repeated noncontingent preferences for discriminative stimuli associated delivery of a stimulus resulted in lower indices withsymmetricalreinforcers(e.g.,S+associated of preference for that stimulus. However, given with greater effort to obtain grain vs. S+ that one typically provides reinforcers on a associated with lesser effort to obtain grain). contingent basis, it may also be important to From an applied standpoint, a more pertinent examinechanges instimulusvalueasafunction question might be if these effects transfer to the of contingent reinforcer delivery. reinforcers themselves when they are qualita- Recent research suggests that events histori- tively distinct (e.g., one reinforcer associated cally associated with producing a stimulus can with greater effort vs. a different reinforcer influence subsequent changes in the value of associated with lesser effort). Birch, Zimmer- that stimulus. For example, the effect some- man, and Hind (1980) observed something times termed within-trial contrast (Zentall & akin to this effect. They first asked preschool Singer, 2007a), or the work ethic effect (Clem- children to rate snack foods (peanuts, carrots, ent, Feltus, Kaiser, & Zentall, 2000), predicts crackers, etc.). Four moderately preferred foods that ‘‘reinforcers that follow relatively aversive were then subjected to various manipulations events become preferred over those that follow for several weeks, after which thechildren again less aversive events’’ (Singer, Berry, & Zentall, rated the foods. In one manipulation, the THE INFLUENCE OF CONTINGENCY 545 children received the designated snack item as a ing. The last ratio requirement met, termed the reward contingent on the display of varying breakpoint,providesanindexoftheamountof behaviors (e.g., responding to verbal requests, workthereinforcerwillsupport.Comparisonof cooperative play) twice a day for 21 days. In mean break points provides a gauge of relative another condition, the child received the potency across stimuli. Recent applied studies designated item in a nonsocial context; the (e.g., DeLeon, Frank, Gregory, & Allman, items were simply placed in the children’s 2009; Francisco, Borrero, & Sy, 2008; Glover, lockerstwiceadayandthechildrenwerefreeto Roane, Kadey, & Grow, 2008) suggest that PR consume them when they visited their lockers. schedules perform fairly well in validating After 21 days, the children again rated the differences in preference levels by gauging items, and the experimenters found an overall independent stimulus value. increase in the ratings of the snack items AnaddedadvantageofusingPRbreakpoints delivered as rewards, leading them to conclude is that reinforcer potencycan be gauged for one that ‘‘presenting a food as reward enhances stimulus independent of the potency of other preferencesforthatfood’’(p.860).Bycontrast, stimuli. Recent examinations of within-trial ratings of the items delivered independent of a contrast effects have been restricted to measur- programmed contingency did not increase. In a ing relative preferences among two or more manner consistent with the more recent stimuli, arranged in concurrent schedules. nonhuman animal research, items associated Although these studies have shown that prior withanearningrequirementincreasedinrating, manipulations of effort can influence relative and those associated with no effort did not. responseallocationtoonestimulusoveranother Although this study suggested that contin- concurrently available stimulus, differences in gency might be positively related to subsequent relative response allocation under concurrent reinforcer value, the only dependent measure schedules do not always indicate a difference in was children’s ratings of the items. Verbal self- the absolute strength of a reinforcer in reports of relative preferences, however, may supporting operant behavior on independent notalwayscorrespondwithbehavioralmeasures (nonconcurrent) schedules (Roscoe, Iwata, & of the relative strength of the stimuli in Kahng, 1999). It is therefore important to supporting operant behavior (e.g., Northup, determine whether changes in relative prefer- 2000; Northup, George, Jones, Broussard, & ence translate into meaningful changes in the Vollmer, 1996). Therefore, in addition to some independent strength of the stimuli as reinforc- index of changes in relative preference, as ers. DeLeon, Williams, Gregory, and Hagopian offered by established stimulus preference (2005) reported pilot data for two individuals assessments, it is important to conduct a more with developmental disabilities from such an direct test of changes in reinforcer strength analysis. The experimenters delivered moder- before and after arranging manipulations of ately preferred stimuli on an FR 1 schedule effort.Onemeasurethathasreceivedincreasing during daily training sessions and noncontin- attention in the applied behavioral literature is gently on a schedule yoked to the FR 1 the break point on a progressive-ratio (PR) schedule. Thus, the individuals received equiv- schedule (Hodos, 1961). Under a PR schedule, alent exposure to the two stimuli, but they reinforcers are contingent on the completion of worked for one and not the other. PR analyses response requirements that increase within conducted before and after these arrangements sessions. The schedule continues to increase revealed increases in break points for the until reaching some termination criterion, contingent stimuli but decreases for the non- usually some period of time without respond- contingent stimuli, again suggesting a positive 546 ISER G. DELEON et al. relation between prior effort and changes in ney’ssessionstookplaceatatablelocatedinthe stimulus value. center of a room (7.7 m by 7.7 m) adjacent to The present study sought to expand this line the main living area. Sessions for Todd and of investigation on the relation between con- Cathytookplaceataworkstation(deskandtwo tingency and subsequent stimulus value. The chairs) located in the classroom (6.8 m by influence of contingent and noncontingent 6.8 m) where they completed their daily delivery on changes over time was measured academics. Partitions divided the workstations. by (a) changes in preference assessment selec- Response Definitions, Data Collection, and tion percentages and (b) changes in reinforcer Interobserver Agreement strength via PR schedules. To further examine the effects of the amount of effort, the current Trained graduate students and research study evaluated two levels of contingent effort: assistants served as data collectors for all contingentdeliveryonaconstantFR1schedule assessments. Observers used laptop computers and contingent delivery on an escalating FR to collect data for preference assessments and schedule in which the schedule requirements reinforcer-value manipulation sessions. During increased across successive weeks. Finally, the the preference assessments, thetherapist record- same measures were applied to stimuli entirely ed responses in the presence of stimuli restricted (i.e., no exposure) between preference includingselection,avoidance,andnoresponse. assessments and PR analyses. This latter Selection included touching, reaching toward, condition served as a control to assess what oraskingforthetoyorfooditem.Anavoidance might happen in the absence of any effort response was scored if the participant actively manipulation. pushed or threw the stimulus away, moved away from the stimulus within 3 s of presentation, or engaged in negative vocaliza- METHOD tionsuchascryingorsaying‘‘no.’’Noresponse Participants and Settings was scored if the participant exhibited no Seven individuals with developmental dis- reaction to the stimuli within 5 s of presenta- abilities admitted to an inpatient unit for the tion. assessment and treatment of behavior disorders During reinforcer-value manipulation ses- participated in the study (see Table 1 for sions, observers scored task completion each participant description and stimuli assigned to time the participant completed the task follow- each condition). Four of the participants ing a verbal or gestural prompt. The task for (Cathy, Courtney, Mary, and Thomas) had Mary and Thomas was placing a block in a been previously involved in a study examining bucket (scored when the block passed the lip of the correspondence between preference assess- the bucket and the participant let it go). ment outcomes and PR schedule analyses Jonathan’s task was to sort paper clips by size. (DeLeon et al., 2009), and thus were familiar Thetherapistplacedtwobaskets onthetablein with the PR schedule analyses. frontofhim,onewithasmallclipattachedtoit Sessions were conducted in different areas of and one with a large clip attached. A correct the inpatient hospital. Sessions for Mary and response involved placing a clip in the basket Thomastook placeinasession room(2.4m by with the same-sized clip attached. The task for 3 m) equipped with a one-way observation Todd, Cathy, April, and Courtney was to place window,twochairs,andatable.April’ssessions apeginaPeg-Board.Observersscoredacorrect took place at one of two tables located on the response when the participant placed the peg main living area (9.4 m by 9.4 m) of the completely in any one of 25 holes in the board inpatient hospital unit. Jonathan’s and Court- such that it stood upright when the participant THE INFLUENCE OF CONTINGENCY 547 Table 1 ParticipantDescription andStimuli Assigned toEachCondition Name Age Gender Diagnosis Condition Stimulus Mary 9 female autism,moderatementalretardation,mood FR1 musicradio disorder(NOS) NCR band esclFR phone FRrest ballpopper Jonathan 13 male autism,severementalretardation,pervasive FR1 popcorn developmentaldisorder(PDD) NCR chips esclFR crackers rest M&Ms Todd 11 male autism,disruptivebehaviordisorder(NOS), FR1 sphere stereotypicmovementdisorderwithself-injury NCR ballpopper esclFR caterpillar rest drum Cathy 11 female autism,moderatementalretardation,stereotypic FR1 radio movementdisorderwithself-injury NCR shakingdog esclFR ballpopper rest band April 10 female mentalretardation(NOS),PDD,stereotypic FR1 radio movementdisorderwithself-injury NCR playdough esclFR ballpopper rest Elmobook Courtney 20 female criduchat,severementalretardation FR1 playdough NCR caterpillar esclFR shakingdog rest spintoy Thomas 16 male mentalretardation(NOS),PDD,stereotypic FR1 squishyball movementdisorderwithself-injury NCR Spongebob esclFR wormball rest car Note. NOS 5 not otherwise specified; FR 1 5 fixed-ratio 1; NCR 5 noncontingent reinforcement; escl FR 5 escalating fixedratio; rest 5restricted. let it go. For all participants, stimulus delivery erence assessments consisted of both observers consisted of placing the stimulus directly in recording the same selection, avoidance, or no front of the participant. Stimulus interaction response during each trial. Mean percentage included touching, turning on, or otherwise agreement across participants for the paired- interacting with the item. For Jonathan only, choice preference assessments was 97% (range consumptionconsistedofmovingthefooditem across sessions, 81% to 100%). During the PR past the plane of his lips. analyses, an agreement consisted of both During the PR analyses, trained observers observers placing a check or no check next to usedpaperandpenciltorecordeachcompleted each FR schedule value. Mean percentage FR schedule value. The data sheet listed agreement across participants for the PR individual FR values ranging from FR 1 to analyses was 99% (range, 92% to 100%). FR25.Nextto eachFR valuewasa boxforthe Interobserver agreement data for the reinforcer data collector to check after the participant manipulation sessions were calculated for completed the respective schedule value. compliance with prompts, delivery of the Asecondindependentobservercollecteddata stimulus, and item interaction using the exact during an average of 87%, 58%, and 29% of agreement within intervals method (Mudford, paired-choice preference assessments, PR anal- Martin, Hui, & Taylor, 2009). Sessions were yses, and reinforcer-value manipulation ses- dividedintoconsecutive10-sintervals.Intervals sions, respectively. Agreement during the pref- in which the same number was scored by both 548 ISER G. DELEON et al. observerswereassignedavalueof1.Intervalsin preference assessment results) were selected which one observer scored 0 target responses from the preference assessment for inclusion andtheotherscoredanythingotherthan0were in the experimental manipulations for each assigned a value of 0. For intervals in which participant, with two exceptions. For Mary, the different numbers were scored, the smaller ninth-ranked stimulus (the ball popper) re- number of responses scored was divided by placed the eighth-ranked stimulus (the rattle) the larger number. These quotients were because she engaged in self-injury with the summed, divided by the total number of rattle. Thomas’s seventh-ranked stimulus (the intervals in the session, multiplied by 100%, musical band) was broken after the initial three and averaged across sessions. Mean percentage preference assessments were completed. There- agreement across participants for reinforcer- fore, the fourth-ranked stimulus (the worm value manipulation sessions was 95% (range, ball) was used during the PR analysis and 57% to 100%), 89% (range, 42% to 100%), reinforcer value manipulation sessions. The and 86% (range, 53% to 100%) for compli- musical band continued to be included in the ance, stimulus delivery, and item interaction, preference assessments. Across all participants, respectively. the difference in selection percentage for the stimulichosenforinclusionintheremainderof Procedure the study was no greater than 28%. All stimuli Paired-choice preference assessment. The were entirely restricted from the participants’ paired-choice preference assessments (Fisher et environment outside the experimental condi- al., 1992) included 12 leisure or food items tions. This seemed important because uncon- identified by caregivers or hospital staff. Each trolled access to the stimuli could affect item was paired once with every other item in a subsequent preference rankings. quasirandom order for a total of 66 trials. Progressive-ratio analyses. Three PR sessions During each trial, the therapist presented two items to the participant. If he or she selected were conducted, in a randomized order, with eitheritem,thetherapistprovided30-saccessto each of the four selected stimuli for each theleisureitem or delivereda smallpiece ofthe participant(i.e.,12PRsessionsperparticipant). food to consume. The therapist blocked all A task that the participant could readily attempts to select both items simultaneously. If complete was chosen from prior educational the participant made no response toward both plans. Before each session, the therapist items,thetherapistphysicallyguidedhimorher prompted the participant to complete the task to sample each item for 5 s and then initiated a threetimesusingsuccessiveverbal,gestural,and second trial. The assessment was repeated twice physical prompts. After completion of each more, and the selection percentages were task, regardless of the level of prompting, the averaged across the three assessments. Selection therapist delivered the appropriate stimulus for percentage was determined by calculating the 30 s. When the session began, the therapist percentage of assessment trials in which stimuli placed the available stimulus within the view of were selected when available. The items were the participant and issued a single verbal then arranged in descending order according to prompt to engage in the task. No additional their selection percentages (i.e., the item prompting was delivered. The stimulus being selectedwiththegreatest percentagewasranked assessed during agiven sessionwas deliveredfor 1, the item with the second highest selection 30 s on a PR schedule beginning with a single percentage was ranked 2, etc.). response (i.e., the stimulus was delivered for a The middle four stimuli (i.e., those ranked single correct completion of the task). During fifth,sixth,seventh,andeighthinthecombined each trial thereafter, the schedule requirement THE INFLUENCE OF CONTINGENCY 549 was increased by one in an arithmetic progres- 1 min. For Jonathan only, asmall piece of food sion (e.g., two responses, three responses, etc.). was delivered. At the end of the reinforcement The therapist removed task materials after the interval,theFR1stimuluswasremovedandthe deliveryofeachreinforcerandreturnedthemas next prompt to complete the task was issued. soon as the 30-s reinforcement period had The therapist issued the next prompt for elapsed.Sessionscontinueduntiltheparticipant Jonathan after he consumed the food. This ceased to respond for 1 min. The highest continued until the participant had earned the schedulerequirementcompletedbeforemeeting stimulus 10 times. the termination criterion constituted the break The escalating FR condition was identical to point for the session. the FR 1 condition, with the exception that the Reinforcer-value manipulations. Following the FR schedule value increased after every fifth completion of the PR analyses, the four stimuli session.Three-steppromptingwasagainusedto were randomly assigned to one of four ensure completion of each task presented. The experimental conditions: FR 1, escalating FR, therapist delivered the escalating FR stimulus noncontingent reinforcement (NCR), or re- after the predetermined schedule requirements stricted (see Table 1 for assignment of stimuli had been met, regardless of the level of to conditions). Sessions were conducted each prompting required. During the 1st week, the day, 5 days per week for 4 weeks. Each day, participantearnedtheitemonanFR1schedule three experimental conditions were conducted identical to that described for the FR 1 inthefollowingorder:FR1,escalatingFR,and condition. The reinforcement schedule was NCR. For all conditions, sessions were termi- increased to FR 2 during the 2nd week, FR 5 nated after the stimulus assigned to that during the 3rd week, and FR 10 during the 4th condition was delivered 10 times. Thus, session week. The response requirements used in the length varied while the total number of Escalating FR condition were adopted from reinforcers delivered per session for each prior studies in which these values produced condition remained constant. meaningful outcomes in related analyses (e.g., During the FR 1 condition, the participant DeLeon, Iwata, Goh, & Worsdell, 1997). All and therapist sat next to each other at a table. sessions, regardless of the reinforcement sched- The therapist presented the task using a three- ule in place, were terminated after the partic- step prompting procedure that consisted of ipant earned the escalating FR stimulus 10 sequential verbal, gestural, and physical times. prompts. The task used for each participant During the NCR condition, no academic was identical to the tasks used during the PR task was present. The therapist delivered the analyses. Three-step prompting was used for stimulusassignedtothisconditionfor1minon both effort manipulations (i.e., FR 1 and a fixed-time (FT) schedule that was yoked to escalatingFRconditions).Thetherapistinitially the schedule of delivery for the stimulus in the delivered a verbal prompt to complete the task. precedingFR1condition.TheFTschedulewas If the participant did not comply with the determined by dividing the duration of the FR verbal prompt, a gestural prompt was delivered 1 session by 10 (i.e., the number of times the (i.e., the correct response was modeled for the participant earned the reinforcer in the FR 1 participants). If the participant still did not condition). For example, if the participant comply, he or she was physically guided to earned the FR 1 stimulus 10 times and the complete the task. Each time the participant session lasted 12 min, the NCR session would completed the task, regardless of the level of be 12 min in duration and the stimulus would prompting, the FR 1 stimulus was delivered for be delivered every 72 s, with the first reinforcer 550 ISER G. DELEON et al. being delivered at the start of session. The the four stimuli identified for each participant therapist removed the stimulus when the and the break-point values for each of the four reinforcement interval elapsed and withheld stimuli during the PR schedule analyses. the stimulus until the next scheduled interval. Changes in selection percentage were deter- NCR sessions ended when the stimulus had mined by comparing selection percentages for been delivered 10 times. each of the stimuli during the initial preference The stimulus assigned to the restricted assessments and preference assessments that condition was placed in a locked closet such followed the reinforcer value manipulations. that the participant would not have contact Changes in break-point values were determined withorseethestimulus.Therestricteditemwas by comparing the means of the last completed used only during subsequent preference assess- FR schedule in thethree initial PRanalyses and ments and PR analyses. final three PR analyses with each stimulus. Prior research on events that may affect stimulus preference have suggested that (a) RESULTS noncontingent stimulus delivery can result in Figure 1 displays change scores (postmanip- a decrease in preference indices (e.g., Hanley et ulation average minus premanipulation aver- al., 2006), (b) stimuli that require greater effort age) in the preference assessment selection toobtainmaybe preferredrelative tothosethat percentages for each type of stimulus for each require less effort (e.g., Friedrich & Zentall, participant. Selection percentages for the NCR 2004),and(c)stimulusdeprivationcanincrease stimuli decreased for all seven participants. The preference (e.g., McAdam et al., 2005). We restricted stimuli moved upwards in selection therefore hypothesized that preferences (indi- percentage for five of the seven participants and cated by selection percentage) and effectiveness moved down for two participants. As noted (measured by PR break points) for the stimulus previously, the restricted stimuli served as a assigned to the NCR condition would decrease form of control to indicate what might happen when compared to preferences for the stimuli across evaluations in the absence of stimulus assigned to the three other experimental access between preference assessments. The FR conditions. Furthermore, preference for the Escalating FR stimulus was expected to increase 1 stimuli showed a mixed pattern, increasing in to a greater extent than that for the FR 1 selectionpercentageforfouroftheparticipants, stimulus. Finally, we hypothesized that depri- but decreasing for the remaining three partic- vation resulting from restricted access would ipants. The escalating FR stimuli also showed a result in an increase in preference for the mixed pattern, but decreases in selection restricted stimulus relative to that for the percentages were more common than increases. noncontingent stimulus. Figure 2depictsthepercentagechangescores inthePRbreakpointsforeachtypeofstimulus Design and Data Analysis for each of the participants. The change scores At the end of Week 4, three preference were calculated by subtracting the mean assessments were again conducted with all premanipulation break point from the mean participants. In addition, the three PR sessions postmanipulation break point, dividing the were repeated with the stimuli assigned to each difference by the mean premanipulation break condition (i.e., 12 PR sessions per participant). point, and multiplying by 100%. Percentage A before-and-after comparison was used to change, rather than raw change, was used assess changes in the value of a given stimulus. because an absolute change in the mean The dependent variables included the selection break-point value would have very different percentages across preference assessments for interpretations depending on the base value THE INFLUENCE OF CONTINGENCY 551 Figure 1. Differences in selection percentages between the preference assessments conducted before and after the experimentalmanipulations for each participant. (e.g., an increase of two mean responses is a increases in mean break points were observed substantial increase for a stimulus with a forsixofthesevenFR1stimuli,withadecrease premanipulation mean break point of one in one stimulus. Finally, mean break points response but not for a stimulus with a mean increasedforfourofsevenescalatingFRstimuli premanipulation break point of 20). and decreased for three stimuli. Although break A great deal of variability was observed points increased from the first to the second during the second PR analysis, with PR break administration in all conditions, increases points increasing for 17 of the 28 stimuli, occurred less often in the NCR condition decreasing for nine of the 28 stimuli, and not (two of seven cases) than in the other three changingfortwostimuli.Themeanbreakpoint conditions. These results provide further sup- decreased for four of the NCR stimuli, port for the notion that the noncontingent increased in two cases, and remained the same delivery of a stimulus can result in a reduction inonecase.Themeanbreakpointincreasedfor in the value of that stimulus. five of seven restricted stimuli, decreased for Figure 3 (top) depicts the mean change in one, and stayed the same for one. Percentage selection percentage for each type of stimulus 552 ISER G. DELEON et al. Figure2. Percentagechangescoresfromthemeanpremanipulationbreakpointtothepostmanipulationbreakpoint for eachtype of stimulus foreach participant. collapsed across participants. Error bars depict Figure 3 (bottom) depicts the mean percent- the standard deviation. The data for each bar agechangeinbreak-pointvaluesforeachtypeof were calculated by subtracting the premanipula- stimulus across all participants. Overall, the tion selection percentage from the postmanipu- mean break point increased for each type of lation selection percentage and averaging the stimulus. Mean break points for Restricted differences across all participants. Consistent stimuli made the largest percentage gain (M 5 with the individual data, the mean difference 355%,SD5548),followedindescendingorder increasedfortheRestrictedstimuli(M59.1,SD by the FR 1 stimuli (M 5 258.3%, SD 5 5 18.6) and, to a lesser extent, for the FR 1 446.7), the escalating FR stimuli (M 5 84.6%, stimuli (M 5 7.2, SD 5 32.6). The mean SD 5 152.3), and finally, the NCR stimuli (M differencedecreasedfortheEscalatingFRstimuli 5 5.3%, SD 5 83.9). Although there was an (M526.8,SD524.4),butthelargestchange averageincreaseinPRbreakpointsfortheNCR wasadecreaseintheselectionpercentageforthe stimuli, it was accounted for by the relatively NCR stimuli (M 5 217.2, SD 5 16). large increases observed in the only two NCR

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