JOURNALOFAPPLIEDBEHAVIORANALYSIS 2008, 41, 25–37 NUMBER1 (SPRING2008) DETERMINING INDIVIDUAL PRESCHOOLERS’ PREFERENCES IN A GROUP ARRANGEMENT STACY A. LAYER, GREGORY P. HANLEY, NICOLE A. HEAL, AND JEFFREY H. TIGER UNIVERSITYOFKANSAS This study sought to determine the accuracy of an assessment format in which selection outcomes were delayed and probabilistic; these are unavoidable features of an assessment designed to determine preferences of multiple children simultaneously. During the single arrangement, preference hierarchies were established by having a child repeatedly select from amongseveral foodsandbysequentiallyrestricting preferred items fromthearray. Afterbeing taughttheassociationsbetweencoloredcardsandthesamefooditems,groupassessmentswere conducted with 3 children simultaneously, in which each child chose a card and all children receivedthefoodcorrelatedwitharandomlyselectedcardfromthosethathadjustbeenselected. The group assessment appeared to be accurate and perhaps more efficient for determining preferences;thus,wepositthatthisarrangementissuitablefordeterminingcontextpreferences ofmultiple children simultaneously. DESCRIPTORS: concurrent-chainsarrangements,delay,preferenceassessments,preschool children,probabilistic outcomes _______________________________________________________________________________ Preferenceassessmentstypicallyidentifypoten- ments (e.g., Lohrmann-O’Rourke, Browder, & tially reinforcing items, activities, or contexts Brown,2000;Risley,1996)byallowingindivid- throughdirectobservationofaselectionbetween uals who are typically unable to advocate for two or more alternatives. These assessments are themselves to express their preferences for how usually conducted with individuals for whom theirenvironmentistobearranged. verbal report of preferences may be unreliable or Hanley and colleagues have used various impossible to obtain (e.g., young children and permutationsofaconcurrent-chainsarrangement persons with severe developmental disabilities). (Catania & Sagvolden, 1980) to determine Many studies have described procedures for individuals’ preferences among contexts such as assessing preferences among discrete items (e.g., protractedactivities(Hanley,Iwata,&Lindberg, foods, toys) to be used as reinforcers during 1999), function-based interventions (Hanley, interventionorinstruction(e.g.,DeLeon&Iwata, Piazza, Fisher, Contrucci, & Maglieri, 1997; 1996;Fisheretal.,1992;Pace,Ivancic,Edwards, Hanley, Piazza, Fisher, & Maglieri, 2005), and Iwata,&Page,1985;Roane,Vollmer,Ringdahl, effective instructional practices for preschoolers &Marcus,1998).However,relativelyfewstudies (Heal & Hanley, 2007; Tiger, Hanley, & have described methods for determining prefer- Hernandez,2006).Theseassessmentsallinvolved ences for important contexts or experiences, the modified concurrent-chains arrangements in results of which could produce lifestyle enhance- which children chose among discriminative stimulithatwerecorrelatedwithvariouscontexts Thisresearchisbasedonathesisbythefirstauthorin in the initial link of a chain; children then partial fulfillment of the requirements for the master’s degree. Gregory Hanley is now at Western New England experiencedthecorrelatedcontextintheterminal College, Nicole Heal is now at the May Center for linkofthechain.Thisprocesswasthenrepeated Education and Neurorehabilitation, and Jeffrey Tiger is for each child until a preference for a particular nowatLouisiana StateUniversity. RequestsforreprintsshouldbeaddressedtoGregoryP. contextwasdeterminedthroughvisualinspection Hanley, Psychology Department, Western New England of selection patterns in the initial links. College, 1215 Wilbraham Road, Springfield, Massachu- Heal and Hanley (2007) introduced two setts01119(e-mail: [email protected]). doi:10.1901/jaba.2008.41-25 procedural changes. First, the initially preferred 25 26 STACY A. LAYER et al. context was removed and the assessment problembehaviorordifferentfree-playarrange- continued until only one context remained to ments, it would be relatively easy to provide establishapreferencehierarchyamongcontexts. multiple children an opportunity to express a Second, assessments also were replicated by personal preference in the initial links of the reintroducing all contexts and reapplying the assessment. Children could, for example, all same restriction criteria. These changes provid- touch one of multiple shapes when entering the ed better information regarding children’s classroom from outdoor play, with each shape preferences for contexts, but they also extended corresponding to a different context. Because it the time required to conduct the assessment. isnotlikelythatallchildrenwillselectthesame The utility of determining children’s prefer- contextoneachday,themoredifficultaspectof ences for behavior management strategies, the procedures would be allowing multiple group instructional techniques, or designs of children to experience their selected context. classroom activities (e.g., free play, circle, or For instance, it would not be feasible for mealtime) is predicated on determining the classroom teachers to provide each child with individual preferences of all members of a a different behavior management strategy each classroom. Result from such assessments could day, and it would be impossible to allow inform individualized or alternating preferred multiple free-play arrangements to cooccur classroom practices; conditions consistent with simultaneously due to the shared nature of the preferences of the majority also could be these contexts. based on assessment results. However, applica- Although Hanley et al. (1997) showed that tion of the context preference assessments, as differential reinforcement of selections (i.e., theyhavebeendescribedmostrecently(Heal& providing access to the contexts following Hanley, 2007; Heal, Hanley, & Layer, unpub- selections) was critical for obtaining accurate lished manuscript; Tiger, Hanley, & Heal, descriptions of preferences, they did not dem- 2006), would require a prohibitive amount of onstrate that this reinforcement needs to be time for a scientific investigation and certainly continuous.Itispossiblethatintermittentaccess would preclude routine application as a practi- to selected contexts may yield accurate descrip- cal means to determine children’s preferences tionsofpreference,andthisintermittencywould onaclasswidebasis.Forexample,120to1603- certainly make these assessments more efficient. min trials were required to determine a context Forinstance,assessmentsthatscheduledaccessto preference for each child in Heal and Hanley’s selected contexts on every other selection would study. If these procedures were extended to require half the time to conduct. If intermittent determine the context preferences of a class- access to selected contexts yielded accurate room of 20 children and a similar amount of assessmentsofpreference,thenitispossiblethat selection variability is assumed, more than multiple children’s preferences for various con- 140 hr would be required to complete the texts could be determined simultaneously. As a classwide assessment. meanstothisend,atypeoflotterysystemcould Heal and Hanley (2007) noted that experi- be adopted in which all children are provided encing the contexts in the terminal links is the with an opportunity to select their preferred time-consumingaspectoftheconcurrent-chains context,butonlyonecontext,randomlyselected procedures; by contrast, observing selections in from the chosen contexts, is experienced by the the initial links—the actual measure of prefer- group. All children would have a chance of ence—requires little time. For instance, if one experiencing their selected context, but they wanted to determine preschool children’s would experience their selected context only preferences for different teacher responses to intermittently. PREFERENCE ASSESSMENTS IN A GROUP ARRANGEMENT 27 With this group-oriented concurrent-chains and typically developing. Participation was a arrangement, the selected outcomes are neces- function of the mutual availability of child and sarily delayed because all children make selec- experimenter in addition to parental consent. tions before any context is experienced. The Sessions took place in a small room in close outcomes also are probabilistic in that each proximity to the child’s regular classroom. The child’s selected context will be experienced on room included a child-sized table and chairs. only a proportion of trials. This probability Each single assessment was completed during would vary as a function of the number of one session, and each group assessment was contexts from which to select and the extent to completedwithineitheroneortwosessions,with which a particular child’s selection was consis- each session separated by less than 24 hr. tent with the majority of selections. Thus, although a group-oriented assessment might Dependent Variables and Data Collection and Analysis allow a determination of preferences for individual children in an efficient manner, it Theprimarydependentmeasurewasselection, is unknown whether the delayed and probabi- defined as pointing to one item in an array of listic outcomes that are inherent in these items. Although these children could vocalize procedures would compromise the accuracy of theirpreferences,amotorresponsewaschosenas the assessment results. the target behavior because motor responses are Thus,theultimatereasonforconductingthis usually used in concurrent-chains assessments study was to determine if group-oriented duethecomplicatednatureoftheexperiencesfor procedures could be applied to determine whichpreferencesarebeingassessed,andbecause children’s preferences for various contexts it allowed a child’s selections to remain covert accurately. However, to conduct a comparative during group arrangements when multiple analysis of a group concurrent-chains arrange- children were present simultaneously. Depend- mentandatypicalarrangementfordetermining ingontheassessmenttype,theitemswereeither preferences for contexts (referred to hereafter as actualfooditemsorsmallcoloredcardsthatwere the single arrangement), it was necessary to correlated with the same food items. Rankings simplify our analysis. We did this by determin- for each food were calculated by dividing the ing preference hierarchies with individual totalnumberofselectionsofaparticularfoodby children for edible items that could be thetotalnumberoftrialsduringwhichthatsame consumed within seconds, as opposed to food was available, multiplying by 100%, and contexts that require minutes to experience, then ordering the foods from the highest to and comparing the hierarchies obtained with lowest percentage of selections (i.e., a 1 was the single and group procedures. Our primary assigned to the food with the highest selection question was whether the delayed and probabi- percentageanda4wasassignedtothefoodwith listic nature of the group arrangement imposed the lowest selection percentage). Selection per- unwanted variability on children’s preferences centages were equal occasionally, but these ties as identified using single arrangements. were broken by assigning the food item chosen on the last trial the higher rank; thus, all ranks wereabsolutenumbers.Thelastfoodchosenwas METHOD assigned the higher rank because later choices Participants and Setting followed the longer experience with the assess- Participants included 14 children who were ment items. Food rankings across single and enrolled in an inclusivepreschool classroom. All group arrangements were examined for each participantswerebetween3 years2 monthsand child to determine if the group procedures 5 years 3 months old (M 5 4 years 3 months) imposed unwanted variability on preferences. 28 STACY A. LAYER et al. Interobserver agreement was measured dur- ‘‘Point to the one you like the best’’) and then ing 100% of sessions for every assessment and deliveredtheselecteditemtothechild;heorshe child.Agreementwascalculatedbydividingthe hadupto30 stoconsumetheitem.Anyportion number of trials with selection agreements of the item left on the plate after 30 s was (observers recorded the same chosen food or disposed of so that the presence of the food did colored card) by the number of trials and not affect selections on the next trial. If a child multiplying by 100%. Mean agreement was didnotmakeaselection,theexperimenterwould 97% (range, 15% to 100%) for all children in have waited 5 s and then delivered the prompt thesinglearrangementand98%(range,83%to again;however,thisdidnotoccurforanyofthe 100%) for all children in the group arrange- children. If the child pointed to two items ment.Forthesinglesessioninwhichagreement simultaneously or made an unclear selection by was under 80%, an examination of the data pointing between the two plates, the experi- revealed that the secondary observer scored two menter said, ‘‘I am not sure which one you selections as occurring during the same trial in wanted.Let’strythatagain.Pointtotheoneyou thebeginningofthesession,andthisaffectedall likethebest.’’Afteraselection,theexperimenter trials for the remainder of the session. replaced the food and then rotated the items so thatthelastitemonthechild’srightbecamethe Procedure firstitemontheleft,andtheplateswerearranged Single arrangement. Our single arrangement equidistant from each other again. A new trial procedures were similar to those described by thenbeganinwhichtheexperimenterinstructed DeLeon and Iwata (1996) and Windsor, Piche, the child to pick his or her most preferred item. and Locke (1994) in that we conducted a This was repeated until a preference was multiple-stimulus preference assessment. The indicated according to one of the following assessments were conducted with a single child, restriction criteria:(a) The childchose thesame using the same four items for each child (jelly food four times consecutively, (b) a particular beans, chocolate peanut butter balls, cheese food was selected four more times overall, (c) crackers, and raisins). These particular foods two foods were selected equally compared to werecutintosmallpiecesapproximatelythesize each other and four more times overall, or (d) of the raisin and were chosen because they each 20totaltrialshadbeenconductedwithnoother had a distinct flavor (e.g., sweet, nutty, salty, restriction criteria met. If a child met criteria fruity).Acupofwaterwasavailablecontinuously (a), (b), or (c), that particular food was to the childrenin all sessions. A singlechild was restricted and the child was presented with the present during this assessment. Priorto the start remaining foods until the same criteria were of the evaluation, a one-time sampling period met to obtain a rank of preference among was arranged in which the experimenter labeled the food items. If a child met criterion (d), the eachitemasheorsheplaceditonaplateinfront assessment ended. During each assessment, the ofthechild,andthensuggestedthatthechildtry experimenter delivered a brief statement of the item (e.g., ‘‘This is a raisin; try it’’). At the praise or social conversation unrelated to the beginningoftheinitialassessmentforeachchild child’s choices (e.g., ‘‘You are sitting so nicely,’’ (the Single 1 assessment), the experimenter or ‘‘It is so sunny, I can’t wait to go outside presented an array of four items in a half circle later’’) following every other trial, and also onthetableinfrontofthechildsothatallitems briefly responded to social interactions initiated were equidistant from each other and from the by the child at any time. child. The experimenter instructed the child to Exposure. It was necessary to pair the food point to his or her most preferred item (i.e., items with arbitrary and distinct stimuli (i.e., PREFERENCE ASSESSMENTS IN A GROUP ARRANGEMENT 29 2.5 cm by 2.5 cm colored cards) for two balls’’) following at least 24 hr since a previous reasons. First, during the group arrangement, exposure session, the exposure period was each child’s selection was placed in a box with considered complete and the children moved theotherchildren’sselections,onewasdrawnat intoagrouparrangement.Themeannumberof random, and all children received the item exposure sessions required for a child to learn correlated with the card. It was more practical the correlations was 2 (range, 1 to 5). to use cards instead of foods for this portion of Group arrangement. Prior to making selec- the procedures because placing food items in tions,3childrenwereseatedatatableandwere the box presents obvious problems with sanita- provided with instructions to keep their tion and food waste. In addition, the group selections a secret to avoid the possibility of arrangement was intended to simulate the one child’s selection influencing another’s. The concurrent-chains procedures used to evaluate experimenter attempted to group children so preferences for contexts; therefore, in future that as many children as possible within the applications of these methods, the cards will grouphaddifferingfoodsrankedfirstaccording represent experiential contexts that cannot to the single arrangement, and one group possibly be placed in box. participated at a time. All children made their Therefore,priortoevaluatingpreferencesina selections in private; to accomplish this, the group arrangement, we conducted exposure experimenter held up a folding poster-board sessions to teach the children the correlations barrier (1 m by 1 m) between the child betweenthedifferentfoodsandcoloredcardsto choosing and the other children. An array of be used as initial-link stimuli in the group thefourcardsthathadbeenpairedwitheachof arrangement. Four colors were chosen random- the foods in the exposure sessions was arranged ly to be correlated with each of the four foods infrontofeachchild.Eachchildwasinstructed presented in the single arrangement. Three to point to the one that he or she liked best. children simultaneously participated in this After each selection, the colored card corre- procedure. During each trial, all children were sponding to each child’s choice was placed instructed to point to one of four available inside a voting box, and this was repeated until colored cards (each child had his or her own set each child had a card in the box. The of four cards). After they pointed to the experimenter then set aside the barrier, showed specified card, the experimenter provided brief theboxtoallofthechildren,anddrewonecard praise and presented every child with the food out of the box. All children received the item that was correlated with that color. The child correlated with the chosen card. This method had access to the food for up to 30 s, and any allowedeachchildachanceof havinghisorher portion of the item not left on the plate after selected card chosen; however, this also resulted 30 s was removed. This sequence of events was in food deliveries that were both delayed and repeated for 20 trials, with each color and food probabilistic relative to the single arrangement. association presented on five trials each in a The probability of a child receiving the item randomandcounterbalancedorder.Priortothe that was selected was measured and is reported start of each subsequent session, the experi- below.Bycontrast,delaysbetweenselectingand menter asked each child what happened when receiving the foods were not measured but were he or she pointed to each of the four cards. estimatedtorangebetween1to2 minpertrial. When the child was able to describe the Eachcardwasreplacedaftereveryselectionso contingencies correctly (e.g., the experimenter thatallchildrencontinuedtoselectfromthefull asked, ‘‘What do you get when you touch array of four cards until a preference emerged. pink?’’and the child responded, ‘‘peanut butter The different cards and their associated edible 30 STACY A. LAYER et al. consequences were restricted using the same group arrangement was conducted next, fol- criteria described in the single arrangement. lowedbyareversaltoasinglearrangement,and Onceapreferencehierarchywasestablishedfora finally a replication of the group arrangement. particularchild,heorshewasremovedfromthe All 14 children experienced all conditions in a pool of children that could be grouped together similar manner. for a session. Toensure groups of three for each session, children who completed the assessment RESULTS weresometimesincludedingroupsatthecloseof the overall evaluation, but their data were not The primary research question regarding the used in the analyses. imposition of variability via the group arrange- In sum, the single and group arrangements ment was addressed by evaluating changes in were the same in that every child chose among rank of each of the four foods across repeated the same four foods, and the same criteria for measures of the same arrangements, and also determining preferences and assigning ranks to repeated measures of the two different arrange- food items were used. The few important ments. Trial-by-trial data for 2 children are differences between the two assessment formats shown in Figure 1. These are examples of two were as follows. First, each child chose from an common types of performance patterns. Al’s array of foods in the single arrangement, data provide an example of consistent prefer- whereas each child chose a card that was ence rankings across both single and group correlated with a food in the group arrange- assessment formats. He selected a peanut butter ment. Second, each child was guaranteed to ballonthefirsttrial,followedbyajellybeanon receive every item that he or she chose in the the second trial. Al again selected peanut butter single arrangement, whereas the number of balls on the third and fourth trials, and then he timeseach childreceived hisor her chosen item selected a cheese cracker. He next selected was probabilistic in the group arrangement. peanut butter balls two more times. Peanut Third, there was a longer delay between butter balls were then restricted because they selections and delivery of food in the group hadbeen selectedfour moretimesoverall.After arrangement than in the single arrangement. peanut butter balls were removed from the Finally, each child was alone in the single array,Alswitchedselectionsbetweenjellybeans arrangement,whereas3childrenwerepresentin andcheesecrackersuntileachwereselectedfour the group arrangement. more times than the raisin (which was never selected), and the end-of-session criterion had Experimental Design also been met. Al continued to show similar Concurrent-chains designs allowed prefer- patterns of responding throughout the rest of ences to be determined within each assessment. the assessments, until the second group assess- In addition, an AABAB design was used to ment when he chose each of the foods four evaluatedifferencesinselectionsasafunctionof times consecutively. Throughout every assess- the group arrangement. Initially, two single ment, peanut butter balls were always the most arrangements (Condition A) were conducted preferred food, jelly beans second, cheese consecutively to determine if preferences were crackers third, and raisins last. Thus, it did stable across repeated measures of the same not appear that the group arrangement altered assessment type before we attempted to deter- the primary outcome of the preference assess- mine if the group arrangement (Condition B) ment in any appreciable way; the same imposed unwanted variability on preferences. preference hierarchy resulted from all assess- Next, the exposure condition was implemented ments. There was not a single participant for to teach the card and food associations. The whom preferences were stable only across the PREFERENCE ASSESSMENTS IN A GROUP ARRANGEMENT 31 Figure1. CumulativeselectionsacrosstrialsandrelativerankingsoffooditemsaredisplayedforAlinthetoppanel. Thesedataillustrateanexampleofachildwhosepreferencehierarchydidnotchangeduringtheentireassessment.The bottompanelshows cumulative selectionsacross trialsandindifference scores for Kay.Indifference scores describe the amountofselectionvariabilitywithineachassessment.Thesedataillustrateanexampleofachildwithhighlyindifferent responding during the single assessments andhighly discriminated responding during the group assessments. single arrangements; preferences were either Considering that there was no difference stableacrossbothassessmenttypesorpreferences between the percentage of children for whom were variable regardless of assessment type. rankings were generally consistent for these two We also examined the data using a criterion comparisons (e.g., Single 1 to Single 2 and for determining an agreement. According to Single 2 to Group 1 on all rankings or just the this criterion, a ranking agreement occurred top items), it seems unlikely that unwanted when all foods did not move more than one variability in food rankings was imposed by the rank across the two assessments. When com- group arrangement. paring the first and second single arrangement To further describe the extent of agreement using this criterion, rank agreements occurred within and across assessment types, a Spear- for 69% of children. A comparison of the first man’s correlation analysis was conducted on group assessment with the preceding single food rankings (Table 1). First, the rankings for assessment revealed that rank agreements also all children for the initial assessment were occurred for 69% of children. Another way to comparedtotherankingsyieldedbythesecond examine rank consistency includes determining singleassessment(Single1/Single2inTable 1); if the first ranked food remained the same this yielded a moderate, positive correlation of across assessments. For single assessments, 57% .60.Correlationsofsimilarstrengthwerefound of the children had their first ranked food between all like assessment types (r 5 .60 for remainthesameacrossrepeatedmeasuresofthe Single1/Single2,r5.68forSingle2/Single3, single arrangement. A comparison of the first r 5 .57 for Single 1/Single 3, and r 5 .72 for group assessment with the preceding single Group 1/Group 2). These correlations were assessment revealed that the first ranked food close to or higher than a generally acceptable remained the same for 57% of children. test-retestreliabilitycoefficientof.60(Cicchetti 32 STACY A. LAYER et al. Table 1 Correlations andDays ExpiredBetween Assessments Samearrangementtype Differentarrangementtype Single1/ Single2/ Single1/ Group1/ Single2/ Group1/ Single3/ Single2 Single3 Single3 Group2 Group1 Single3 Group2 Correlationsbetween .60 .68 .57 .72 .65 .74 .71 assessments Meannumber(range)of 19(1–34) 30(7–60) 44(8–68) 28(7–70) 19(6–47) 10(1–49) 17(3–69) daysbetweenassessments Note.All correlations betweenassessments arestatistically significant atp ,.05. & Sparrow, 1981). These data showed that that the probabilities that each child received both single and group assessment types share a the same item selected varied considerably similar amount of consistency across applica- across children. For example, the probability tions. The correlations generated between the that Eva received the item that she selected in singleandgroupassessmentswerealsoallabove the second group arrangement was .83, whereas .60(r5.65forSingle2/Group1,r5.74for the probability that Kat received the item that Group 1/Single 3, r 5 .71 for Single 3/Group she selected in the second group arrangement 2). All of the above correlations are statistically was .08 (Table 2). The mean probability of significant (p , .05). By comparing the sets of each child receiving the item that he or she correlations, it is apparent that the correlations chose in the group arrangement was .53 in the within assessment types were of the same current study. Thus, children’s selections re- magnitude as those correlations between assess- sulted in access to their chosen item on about ment types. Thus, these data are also consistent half the trials. To determine if the probabilistic with the notion that the group assessment did outcomes influenced the extent of agreement not impose unwanted variability on the out- between the single and group assessments, a comes of the preference assessments. Pearson correlation analysis between the mean Because the amount of time between assess- probability that a child received selected items ments varied unsystematically, we determined and the correlations between the single and whether the amount of time between assess- ments affected the correlations between assess- Table 2 ments (see Table 1 for the mean number of ProbabilityThataChildReceivedtheSameItemSelected days between assessments). A Pearson correla- Assessment tion analysis involving time between assess- ments and the rank correlations between the Group1 Group2 assessmentsshowedthatthesevariableswerenot Ed .44 .43 correlated (r 5 .04), suggesting that variations Kay .39 .67 Ben .43 in the rank correlations were probably not due Roy .44 .75 to the differences in time between assessments. Lea .56 .50 Mia .57 .69 Oneofthefeaturesofthegrouparrangement Roz .44 .42 was that it was probabilistic that each child Kat .43 .08 Abe .43 .53 would receive the item that he or she preferred Mel .58 .53 the most; traditional preference assessments Eva .62 .83 Joy .46 .58 guarantee that the child receives every item that Jim .65 .53 he or she selects (i.e., the probability of Al .77 .50 M .52 .54 receiving a selected item is 1). Table 2 shows PREFERENCE ASSESSMENTS IN A GROUP ARRANGEMENT 33 group arrangements was conducted. Our con- cern was that children with lower probabilities of receiving the items they selected (e.g., Kat) would be more likely to have inconsistent assessment outcomes. A weak, positive, and statistically insignificant correlation found be- tweenthesevariables(r5.38,p..05)suggests that this was not the case. In addition, a scatter plot showed that this weak relation was highly dependent on two outliers. Thus, the probabi- Figure 2. The mean indifference scores and standard listic selection outcomes were likely not respon- deviationsofthosescoresforall14children.Indifference sible for any disruptions in preference observed scores refer to the amount of selection variability within an assessment. between single and group assessments. Although preference hierarchies were not systematically different between single and criteriametplusone)toobtainascoreof3.This group arrangements, the patterns in the data is representative of the lowest possible i score. were different for each assessment type with Kay’sdata(Figure 1)alsoillustrateacommon respect to within-assessment variability. As we pattern of within-session variability observed analyzed the data with respect to our primary within the single and group arrangements. question, it became apparent that children’s During the first and second single assessments, selections were more highly discriminated (i.e., Kayallocatedafairlyequalnumberofselections there was less within-session selection variabil- between peanut butter balls, jelly beans, and ity) during the group arrangements. cheese crackers. In the first group assessment, A metricto describeand quantify theamount selectionsweremorehighlydiscriminated.When of selection variability within and across assess- a third single assessment was conducted, she mentswasderivedfromthedata.Werefertothis again frequently switched selections among all metric as an indifference score (i score) because the foods. Finally, in the second group assess- indiscriminate responding would yield relatively ment, Kay engaged in the most discriminated high scores and discriminated responding would responding by selecting peanut butter balls yield relatively lower scores. These scores were four times consecutively, followed byjelly beans calculated by dividing the total number of trials fourtimesconsecutivelyandcheesecrackersfour in each assessment by the number of restriction timesconsecutively.Kay’sdatarepresentastrong criteriametplusone(onerepresentedtheend-of- example of the differencesin variability between session criterion). The i scores ranged from 3 the single and group assessments. Her respond- (highly discriminated) to 20 (highly indifferent). ing was indifferent during all single assessments For an example of a high i score, see Kay’s first with i scores of 20 (the maximum score), and single assessment (Figure 1). Twenty trials were highly discriminative responding was observed conducted without Kay meeting a single restric- during the group assessments with scores of 3.3 tion criterion. Therefore, the i score was and 3.0 (the minimum score), respectively, calculated by dividing the 20 total trials by 1, during each group assessment. These data show for a score of 20, the maximum score that could that the group assessment resulted in more be achieved. By contrast, Kay’s second group discriminated selections than the single assess- assessment wasconductedfor atotalof12 trials, ments for Kay. andthreerestrictioncriteriaweremet.Theiscore Figure 2 shows the mean i scores across was calculated by dividing 12 by 4 (restriction children for each of the five assessments. The 34 STACY A. LAYER et al. Figure 3. The mean indifference score byassessment type for each individual child. data reveal that mean i scores were higher in tions and disrupt the rank of preferences. The each of the single arrangements than in the evidence against negative effects of the group group arrangements. In addition, the standard arrangement were as follows: (a) There was no deviation of scores was higher in each of the single example of stability in ranks being single arrangements than in the group arrange- disrupted systematically by the group assess- ments. This effect was replicated in a reversal ment procedures, (b) the consistency in rank- design for the grouped data. A different ings was similar for like and unlike assessment representationoftheiscoresisseeninFigure 3, types, and (c) correlation coefficients were which shows the mean i score by assessment similar for like and unlike assessment types. In typeforeachindividualchild.Forallchildren,i fact, for 11 of 14 participants, more highly scores in the single arrangements were either discriminated responding, and thus more higher than or equal to i scores in the group efficient determinations of preference, was arrangements. In addition, the range of group- associated with the group assessment. Thus, arrangement i scores was minimal (3 to 7.5) notonlydidthegrouparrangementnotimpose relative to the range of single-arrangement i unwanted variability on selections during the scores (3 to 20). To determine if a relation identification of preferences, but the assessment existed between the probability that a child actually minimized selection variability for 12 received the same item he or she selected and i of14childrenandbyamagnitudeofover50% scores, a Pearson correlational analysis was for 10 of these 12 children. conducted on these variables. A weak, negative However, there were some limitations of this correlation of 2.28 resulted, indicating that study that are worth noting. First, because all selections were slightly more likely to reflect assessments were conducted in the same order indifference when the child was less likely to for all children, it is possible that the more receive his or her selected item. highly discriminated performances during the groupassessmentsmayhavebeendependenton the fact that the single assessments routinely DISCUSSION preceded them. Conducting the conditions in a This study sought to determine if group- BBABA design for some participants would oriented preference assessments, in which have allowed the influence of an order effect to outcomes were both delayed and probabilistic, be detected, although not necessarily controlled would impose unwanted variability on selec- (Hains & Baer, 1989). In addition, children