0DUNHW6HJPHQWDWLRQ*URXSYHUVXV,QGLYLGXDO%HKDYLRU $XWKRUV)UDQN0%DVV'RXJODV-7LJHUW5RQDOG7/RQVGDOH 6RXUFH-RXUQDORI0DUNHWLQJ5HVHDUFK9RO1R$XJSS 3XEOLVKHGE\American Marketing Association 6WDEOH85/http://www.jstor.org/stable/3150342 . $FFHVVHG Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at . http://www.jstor.org/action/showPublisher?publisherCode=ama. . Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. American Marketing Association is collaborating with JSTOR to digitize, preserve and extend access to Journal of Marketing Research. http://www.jstor.org FRANKM. BASS,DOUGLASJ. TIGERT, and RONALDT. LONSDALE* The argumentthat socioeconomicvariables do not provide an adequate basis for marketsegmentationof grocery productsis disputed. A theoretical frameworkfor segmentationmeasurementin termsof group behavioris developed and applied to surveydata. Market Segmentation: Group Individual Behavior This articleis about marketsegmentation.Although most of this articleis aboutthe analysisof data and the measurementof market segments, it also focuses on those aspectsof measurementthathave a practicalbearing on the managerialstrategyof marketsegmentation. Thoughthere are severalpossiblebases for application of the selectivityprinciplein marketing[11], the specific concernhere is the allocationof marketingeffort,particularly advertising,to selective groups of potential customers.In currentmarketingmanagementpractice, there is probablyno problemarea of greaterpractical consequencethan the questionof how to definemarket segments.Despite extensiveresearchin marketsegmentation, there is some uncertaintyabout the practical feasibilityof definingmarketsegmentsby socioeconomic measurements[15]. The authors will argue that such measurementsare operationallyfeasible and demonstratewith empiricaldata. SEGMENTATIONSTUDIES Frank [4] reviewed the research literatureon economic, demographic,personality,and purchasingcharacteristicsas basesfor segmentingthe marketfor grocery products. His synthesis of the literaturehas yielded highly significantconclusions.In severalcases reviewed by Frank, the almost universalconclusion appearsto Versus be that regressionanalysis-or some variantof regression such as discriminantanalysis-of the quantityof groceryproductspurchasedby individualfamiliesyields low R2's when the independentvariablesare socioeconomic.Thusit wouldappearthatthesevariablesexplain only a small part of the variancein purchasingrates by individualfamilies.To illustrate,in the studyby Frank, Massy, andBoyd [5] using ChicagoTribunepanel data, quantitiesof 57 groceryproductspurchasedby individual families were analyzedin relation to 14 socioeconomic variables.The highestR2 obtainedfor any product category was .29, and about 50 percent of the regressionsproducedR2'sof less than.10. There is evidencethat the additionof psychological and sociological variables increases the "explained" variance somewhat [10, 13] but, even so, the unexplainedvarianceremainshigh.The verylow goodnessof fit in cross-sectionalstudies of groceryproductsis not surprising,particularlyconsideringthe resultsof crosssectional studies of consumerexpendituresreportedin economicsjournals.In a survey articlein 1962, Ferber [3] indicatedthat in expenditurestudiescoveringa wide rangeof products,includingdurables,the proportionof variancein individualhouseholdexpendituresexplained by socioeconomicvariablesis small,frequentlyless than .3. An extensivecollectionof cross-sectionalexpenditure studies is included in Consumption and Savings [6]. The evidenceis overwhelmingthatR2 is low whenindividual householdpurchaserates are relatedto socioeconomic variables. The intuitiveconclusion,perhaps, suggestedby the evidenceis that marketsegmentationbasedon socioeconomicmeasurementsis infeasible.This is the conclusion of Twedt [14], Frank [4] and others. Frank concludes, "Based on the researchreportedin the precedingsections for the most partsocioeconomiccharacteristicsare * Frank M. Bass is professor of industrial administration, Purdue University. Douglas J. Tigert is assistant professor of marketing,University of Chicago. Ronald T. Lonsdale is operations researchmanager, G. D. Searle and Company.The authors are indebted to their colleagues E. A. Pessemier, C. W. King, D. L. Weiss, D. E. Schendel, J. O. Summers and to numerous graduate students for their participation in discussions that sharpened their views about the issues involved in the measurement of market segments. 264 Journal of Marketing Research, Vol. V (August 1968), 264-70 MARKET SEGMENTATION: GROUPVERSUSINDIVIDUAL BEHAVIOR not particularlyeffectivebases for segmentationeither in termsof their associationwith householddifferences in average purchase rate or response to promotion." Twedt said, "the heavy users usually accountfor 7-10 times the volume of light users. They buy more often and they buy more differentbrands.Furthermore,the heavy user is not readily identifiablein terms of any othercharacteristics." Though we agree that multiple regressioninvolving socioeconomic variables and quantities purchasedby individualhouseholdsof groceryproductsresults in a low proportionof explainedvariance,we disagreewith the conclusionthat socioeconomicvariablesdo not provide measurementsthat can be effectivelyappliedin a strategyof market segmentation.In other words, the evidence is not disputed, but we argue that the conclusion does not follow from it. This shall be demonstrated with empirical illustrations, but before the analysis, some propositions about measurementand marketsegmentationwill be examined. MEASUREMENT THEORY AND MARKET SEGMENTATION The two most importantideas to considerin market segmentationare the following fundamentalpropositions:(1) marketsegmentationis a managementstrategy and (2) implementationof the strategyof market segmentationinvolves postulatesabout the characteristics and the behaviorof groups, not persons. Smith, in his pioneeringarticle[11], expresslyincludedthese propositions in his definitionof market segmentation.Smith's definitionwas "marketsegmentationconsistsof viewing a heterogeneousmarketas a numberof smallhomogeneous marketsin responseto differingproductpreferences among importantmarketsegments.It is attributableto the desiresof consumersor usersfor more precisesatisfaction of their varyingwants. Segmentationoften involves the use of advertisingand promotion. It is a merchandisingstrategy"[11]. Much of the confusion about market segmentation,we believe, stems from failure to recognizethe two fundamentalpropositions. The absence of a satisfactorytheory of individualbehavior does not necessarilyimply the absence of valid propositionsabout the groups'behavior.For marketing strategy,it is the behaviorof groups,not persons, that is primarilyimportant. A hypotheticalexampleillustratesthe basic structure of the measurement problem in market segmentation as Table 1 PROBABILITY OF LOW,MEDIUM, AND HIGHUSAGERATES Usage rates Probability Low (amount purchased = xi) Medium (amount purchased = x2) High (amount purchased = x3) PI P2 P3 265 it applies to quantitiespurchasedor usage rates. The analysisof segmentationconsideredhere is restrictedto usage rates although the principles generally apply equally well to other segmentationmeasurementslike promotionalelasticityandbrandloyalty. Table 1 shows the probabilitiesor proportions of families purchasing,on average,differentquantitiesof some product. For market segmentation,the essential questionis whetherit is possible to identify groups of consumerswith differentmeanpurchaseratesdependent on certainvariables,such as income, age, and occupation. Table 2 shows the conditionalprobabilitiesof purchasing differentquantities of a product given some measurementon a variable.If in each row of the matrix thereis one numberthatis nearone, maybe.8 or greater, it will be possible to predictfairly accuratelythe usage rates for individualconsumers.The evidence from the regression and discriminantstudies clearly indicates that it is impossibleto predictusage rates very well on an individualbasis with socioeconomicvariables.For purposesof marketsegmentation,however,it is sufficient that the variablesyield large differencesin mean purchase rates.Thus in Table 2, if E(x I Z,) > E(x i Z1), it may be possible to segment the market with this information.Even though the within-groupvariance is great, the fact that the choice is between groups not personspermitssegmentationby groupmeans. The regressionmodels applied in several studies of marketsegmentationhave tendedto focus on individual behavior,resultingin misleadingconclusions.The propriety of the linearity assumptionand noncontinuous observationson the dependentand independentvariables bring into questionthe meaningof the regression results. This was essentially the point which Kuehn [8] made in his debatewith Evans [1, 2]. Kuehnargued that simplecross-classification analysisof a single variable with the probabilityof ownershipwas more revealing than discriminantanalysis. It is not suggestedthat regressionmodels are necessarily inappropriatefor analysis of market segments. However, the results of these models should be interpretedin terms of group means. In succeedingsections of this article,these ideas will be illustratedwith an analysisof survey data. DATA SOURCE, MEASUREMENTS, AND PRODUCTS STUDIED The grocery product data analyzed here were obtained by the Milwaukee Journal in its annual survey of consumer-purchasing behavior. The survey was conducted by mail in the Milwaukee area on a probability sampling basis in October, 1964. The sample return for two questionnaires in separate samples of 4,000 each was 6,264 or 81.2 percent [9]. The analysis here is restricted to the following product categories: catsup, frozen orange juice, pancake or waffle mix, candy bars, AUGUST1968 OF MARKETING JOURNAL RESEARCH, 266 cake mix, beer, creamshampoo,hair spray,toothpaste, mouthwashor oral antiseptic.For the first six products, consumerswere asked to state the quantitiespurchased in the past 30 days, but for the remainingfour products the purchaseperiod coveredwas 60 days.1 The socioeconomicvariablesanalyzedand the measurementcategoriesare: Table 2 ANDHIGH CONDITIONAL PROBABILITY OF LOW,MEDIUM, Z USAGERATESGIVENMEASUREMENT Variable Variable measurements Low Z1 Age of male head Numberof children under 18 years No man in household 18-24 0 1 25-34 35-49 50-64 65 and over 2 3 4 5 6 or more Family income Education of head Under$3,000 $3,000 -$4,999 $5,000 -$7,999 $8,000 -$9,999 Gradeschool or less 1-3 yearsof high school Graduatedhigh school 1-3 yearscollege $10,000-$14,999 $15,000and over Occupationof head All other Sales Clerical Professional Manager Graduated college Television viewing yesterday, by head 0 0-1Y2hours hours 1-3 Over3%12 hours REGRESSION ANALYSIS The relationshipbetween purchaserates and socioeconomic variablesis analyzedby multiple regression, among other statistical techniques. To avoid the assumptionsof linearityand continuity,dummyvariables areused for the socioeconomicmeasurements[7]. Thus, is the value for the kth householdon the jth disXi•, crete variableof the ith discreteclassificationand is one if the householdis in the jth class, otherXi•k wise zero. Therefore,least-squaresregressionprovidesestimatesof table using cell meansfor a multiplecross-classification all of the socioeconomicvariables. If there are N classes of the ith discreteclassification and if a household is not in the first N - 1 of these classes, then the household must necessarily be in the Nth class. In fact, the solution is indeterminate if all N variables are included [12]. Therefore, the first classification is omitted for each variable. The Weighted Regression Analysis Program (WRAP), of the reliabilitywith which 1 Although there is some question consumers report quantity purchased and some bias in the unit of measurement for products in which there are a variety of sizes (the questionnaire calls only for a report on units, not sizes), it is not believed that either of these weaknesses is severe enough to destroy the usefulness of the data for the present purposes. Z2 71"1 7121 Zn 7rnl7r1n2 Medium 71 2 7122 High 7'13 7223 7n3 used to obtain the regressionestimates, performs the multiple-regressioncalculationson all of the variables and then in a stepwiseway deletes nonsignificantvariables by a fixed F ratio or a fixed probabilitylevel. For the presentanalysisthe probabilitywas chosensuch that all variablesaresignificantat the .10 level. The R2 values are uniformlylow-also true of previous studies-but the essentialpoint is that all of the variablesincludedin the final stage are significantby definition.The low R2 values imply only that the variance withincells is great,not that the relationshipsare weak. Table 3 shows the numberof classificationsfor each variableand each productincludedin the final stage of the regression.Every variableappearsin the final stage for some group of products.Numberof childrenis includedin nine of ten productcategories,and age andincome are includedin eight of the ten. Occupationappearsto be the weakestmeasurementsince it is included only threetimes,andthenwithonly one classification. The crucialtest of whetherit is possible to segment the marketby socioeconomicmeasurementsis whether segmentscan be describedby socioeconomicmeasurements with widely varying mean purchase rates. For such a test, finalstage regressionestimateswere used to estimatemean purchaserates for differentsegmentsby summingthe appropriateregressioncoefficientsusing the vector descriptionof socioeconomicmeasuresfor groupsof householdscomprisingthat segment.Table 4 summarizesthese estimatesfor various groups of segments, collectedinto light-buyerand heavy-buyercategories.The mean consumptionrate ranges(see Table 4) have been computedfromthe finalstageregressionestimates by summingthe regressioncoefficientsincluded in the segmentdescriptionand then summingover variablesnot included.It is clearfromthe rangeof variation of meanpurchaseratesbetweenthe segmentsthat socioeconomicmeasurementsprovidea meaningfulbasis for segmentation.For example,marriedhouseholdswhose heads are over 50 with no childrenunder 18; the husbands are college graduates,watch televisionless than one and a half hoursa day, have an estimatedmeanpurchase rate of .74 bottles a month for catsup.However, if heads are between 35 and 49, are not high-school BEHAVIOR GROUPVERSUSINDIVIDUAL SEGMENTATION: MARKET 267 Table 3 FOREACHVARIABLE FOREACHPRODUCTIN THEFINALREGRESSION CLASSIFICATIONS STAGE Product Catsup Frozen orange juice Pancake or waffle mix Candy bars Cake mix Beer Cream shampoo Hair spray Toothpaste Mouthwash or oral antiseptic Age Children Income Education Occupation T. V. viewing R2 2 2 0 2 4 2 0 4 4 4 6 3 4 6 6 1 2 2 4 0 0 2 0 2 4 5 4 2 3 1 2 1 2 0 0 4 2 1 0 2 0 1 0 1 0 1 0 0 0 0 1 1 0 1 3 3 0 1 1 1 .081 .072 .037 .080 .082 .092 .017 .058 .093 .032 graduates,have five children,and watch televisionbetweenone anda half andthreeand a half hoursper day; the householdshave an estimatedmean purchaserate of 5.78 bottlesper monthfor catsup, almosteight times as much. The fact that the R2 values are low impliesonly that the variance within segments is great, not necessarily thatthe differencesin meanvaluesbetweensegmentsare not significant.Of course,even for largesamplessuch as this one, samplemeasurementsare smallenoughto raise questions about the reliability of estimates for cells sparselyrepresentedin the sample.Later, the reliability of regressionestimateswill be examinedin greaterdetail, and the possibleapplicationof regressionmeasures of mean purchaserates to media analysis will be explored. SIMPLE CROSS-CLASSIFICA TION ANALYSIS For greaterfocus on the variationin groupbehavior associated with socioeconomiccharacteristics,contingency tables were developedfor each of the six socioeconomicvariableswith each of the ten products.This analysisthus providesa basis for measuringthe ability Table 4 RATESFORDIFFERENT LIGHTAND HEAVYBUYERSBY MEANPURCHASE SOCIOECONOMIC CELLS Mean consumption rate ranges Light buyers Heavy buyers Light buyers Heavy buyers Ratio of highest to lowest rate Unmarried or married over age 50 without children Under 35 or over 65, income less than $10,000, not college grads, 2 or less children Some college, 2 or less children Under 50, 3 or more children .74-1.82 2.73-5.79 7.8 College grads, income over $10,000, between 35 & 65 1.12-2.24 3.53-9.00 8.0 3 or more children, high school or less ed. 35 or over, 3 or more children 35 or over, 3 or more children, income over $10,000 .48-.52 1.10-1.51 3.3 1.01-4.31 .55-1.10 6.56-22.29 2.22-3.80 21.9 6.9 0-12.33 17.26-40.30 oo Description Product Catsup Frozen orange juice Pancake mix Candy bars Cake mix Beer Cream shampoo Hair spray Toothpaste Mouthwash Under 35, no children Not married or under 35, no children, income under $10,000, T.V. less than 3/2 hrs. Under 25 or over 50, college ed., nonprofessional, T.V. less than 2 hrs. Income less than $8,000, at least some college, less than 5 children Over 65, under $8,000 income Over 50, less than 3 children, income less than $8,000 Under 35 or over 65, less than $8,000 income, some college Between 25 & 50, not college grad., T.V. more than 3/2 hrs. Income $10,000 or over with high school or less ed. Under 65, over $10,000 income, not college grad. Under 50, 3 or more children over $10,000 income Between 35 & 65, income over $8,000, high school or less ed. .16-35 0-.41 1.41-2.01 .46-.85 .44-.87 5.5 .52-1.68 oo 2.22-4.39 3.1 .98-1.17 2.5 AUGUST1968 OF MARKETING JOURNAL RESEARCH, 268 of each variablesinglyto discriminateamonggrouppatterns of behavior for quantity purchased.Chi-square values have been calculatedfor each contingencytable. The tablessignificantat the .05 level or less are listed in Table 5. Again socioeconomicmeasureseffectivelydiscriminatebetweenpatternsof group behavior.Number of childrenis significantfor all ten products;age and income aresignificantfor eightof ten products. Althoughcross-classificationanalysisof a single independentvariablewith the dependentvariablehas the disadvantagerelative to regression and other multivariatetechniquesof failingto measurethe joint effects of several variables,it helps greatly in demonstrating the natureof the variation.In principle,of course,multiple cross classificationis possibleand desirable;but as the numberof variablesincreases,the numberof cells becomes large enough to overwhelmeven vary large samples. However, several multiple cross-classification analyses (cross classificationwith variable stacking) wereperformed,one of whichis reportedlater. It has been contendedthat the low R2's obtainedin regressionanalysishave led to false conclusionsabout the ability of socioeconomicvariablesto segment the marketsince R2 is a measureof the model's ability to predictindividualratherthan group behavior.In addition, it has been arguedthat the relationshipsmay be nonlinear.These pointsare demonstratedby conditional probabilitymatricesof the charactershown in Table 2. Developmentof these tables should be the first step in any segmentationstudy. To conserve space, only 4 of 42 significanttables for the ten productsare presented here.Table 6 illustratesconditionalprobabilities,means, and standarderrors.These conditionalprobabilitiesindicate clearly the strengthof the socioeconomicvariables. For example, the probabilitythat a household with five or morechildrenwill buy threeor morebottles of catsupin a month is more than three times as great as the correspondingconditionalprobabilityfor a household with no children.There is a similardifferencein the probabilitiesfor toothpaste.The probabilitythat a householdin which the head is a college graduatewill buy five or morecans of frozenorangejuice in a month is about twice the probabilityfor a householdin which the headis a high schoolgraduate. The nonlinearityof beer consumptionrelativeto age is also demonstratedin Table 6. When the analysisis extendedto includetwo or more independentvariables, the differencesin conditionalprobabilitiesand means are further increased. CROSS CLASSIFICATION WITH VARIABLE STACKING To study the simultaneous effects of two variables on mean usage rates, two variables were cross-classified with purchase rates for a subsample of 1,400 households. In addition, a regression analysis was done using Table 5 SIGNIFICANT(S) AND NONSIGNIFICANT (NS) CONFOR TINGENCYTABLES OF AMOUNTSPURCHASED AND SOCIOEACHPRODUCT ECONOMICMEASUREMENTS Product Age S Catsup S Frozenorange juice Pancakeor waffle NS mix S Candybars S Cake mix Beer S Creamshampoo NS S Hair spray S Toothpaste S Mouthwash ChiPdren T. V. Income Educa- Occu- viewtion pation ing ing S S S S S S S S S S S S S S NS S S S S S S S S S S NS S S NS S NS NS NS S S S NS NS NS NS NS S S NS NS S NS NS S NS only two variables,similarto the analyseswith several variablesdiscussedpreviously.This permitscomparison of regression estimates of segment means with the sampleestimatesof these means determinedfrom cross classification.Table 7 shows the segment means, the standarderrorof these means, the regressionestimates of segmentmeans, and the samplesizes cross-classified into each segmentfor an analysisof educationand income on beerpurchases. The differencesin the segmentmeans are again substantial.The mean consumptionrate for householdsin whichthe husbandis a high-schoolgraduateand has an annualincomebetween$8,000 and$10,000 is fivetimes as great as for householdswith the same educationand less than $3,000 income. Furthermore,this group of householdsbuys, on average, about 50 percent more beer than householdswith the same income but a college-graduatehead. In general, the regressionestimates are fairly good. In a few instancesthey are substantiallyinaccurate,but the largererrorstend to occur in those segmentswith a small sample.Fortunately,these segmentsare a small part of the populationand representa small proportion of the potential market. In developing segmentation strategy, regression analysis should be performedon severalvariablesto determinewhichtwo or threeare the more powerful.Estimatesof segment means can then be made from cross classification of the smaller number of variables. In practical terms these two or three variables will be sufficient to permit discrimination among groups. To study the overlap of the effectiveness of the seg- mentationstructuresuggestedby Table 7, a weighted regressionwas performedin which the segment mean is the dependentvariableand educationand family in- GROUPVERSUSINDIVIDUAL BEHAVIOR MARKET SEGMENTATION: 269 Table 6 CONDITIONAL PROBABILITIES OF PURCHASES OF FOURPRODUCTS BY SELECTED CHARACTERISTICS Variable Mean Standard error 3 or more .16 .30 .30 .42 .39 .54 1.76 2.45 2.47 3.06 2.95 3.36 .06 .12 .11 .13 .17 .19 5 or more .07 .09 .12 .11 .23 1.18 1.37 1.65 1.83 2.87 .13 .15 .13 .20 .27 3 or more .16 .28 .36 .36 .37 .57 1.77 2.36 2.65 2.68 2.79 3.35 .07 .13 .12 .14 .19 .19 25 or more .24 .35 .33 .27 .13 19.52 27.05 25.50 21.80 12.89 2.05 1.50 1.10 1.31 1.53 Conditional probability Category Catsup Children Education Children 0 1 2 3 4 5 or more 0 .20 .11 .13 .04 .05 .08 1 .32 .23 .17 .12 .14 .09 2 .32 .36 .40 .42 .43 .29 6 yrs. 10 12 14 16 0 .67 .62 .61 .51 .40 Frozen orangejuice 1 2-4 .12 .14 .16 .13 .13 .14 .16 .22 .17 .20 0 1 2 3 4 5 or more 0 .15 .06 .05 .04 .01 .04 Toothpaste 1 2 .33 .35 .26 .40 .20 .39 .19 .41 .19 .44 .08 .31 18-24 25-34 35-49 50-64 65 or over 0 .45 .33 .36 .42 .61 Beer Not married or agea a 1-18 .15 .08 .09 .07 .04 19-24 .17 .24 .22 .23 .22 Of head of household. come are independentvariables.In this regression,R is equal to .65, and the regressioncoefficientsfor both variables are substantiallylarger than their standard deviations.Thus when the noise is eliminatedfrom the data, it is even more obvious that variableseffectively discriminatebetween groups with differentmean purchasing rates. MARKET POTENTIAL AND MEDIA SELECTION In allocatingmarketingeffortto marketsegments,the size and the mean usage rate of the segment must be considered.Other thingsbeing equal, a mediumwith a higherproportionof its audiencein those segmentswith a largemarketpotentialrelativeto the numberof households would be more valuable than a medium with a smaller proportionof its audience in these segments. If Wmiis the relativesize of segmenti in the total audience, Am, of mediumm, then X, = Z wmixiis the meanusagerate of medium m and, AmXm is the marketpotentialof mediumm in units of the product. Media may then be ranked by order of cost per unit of marketpotentialwhichthey deliver. An interestingarea for future researchwould be a comparisonof the mean usage rates for the audience of differentmedia with the mean usage rates to be expectedfrom the audiencecompositionin socioeconomic segments.This comparisonwould provide a basis for evaluationof the media effect. SUMMARY AND CONCLUSION Althoughthere is not yet a satisfactorytheoryto explain variationsin usage rates of individualsof grocery products,this deficiencydoes not imply that a strategy of market segmentationis infeasible. The inability of socioeconomicvariables to explain a substantialpart 270 JOURNALOF MARKETING AUGUST1968 RESEARCH, Table 7 CROSS-CLASSIFICATION ANALYSISOF BEERPURCHASE BY INCOME OF 1,400 HOUSEHOLDS, EDUCATION Annual family income Years of education 6a 10 12 14 16 ~a 10.01 1.64 a Xi 12.18 n 124 6.53 2.38 9.03 36 6.18 1.74 5.78 38 12.27 7.78 4.67 7 15.21 13.17 0.00 4 Xa 27.74 3.93 Xi 23.33 n 48 20.27 4.03 17.12 38 11.70 2.98 16.93 45 17.40 9.51 15.82 14 1.79 1.65 8.25 7 $5,0007,999 25.23 ax 2.62 Xe 31.81 n 115 26.03 2.45 28.66 122 22.63 1.85 25.41 196 24.27 3.48 24.30 57 16.80 3.85 18.73 35 $8,0009,999 Xa 27.72 ax 4.62 X, 37.00 n 30 24.21 3.38 33.85 56 32.14 2.13 31.40 88 21.78 4.41 29.49 32 23.23 4.93 23.82 30 $10,00014,999 Xa 34.24 6.47 ar X, 33.79 n 15 24.05 4.51 30.64 37 21.54 3.07 27.30 61 20.63 3.92 26.28 45 24.18 3.78 20.71 50 $15,000 and over X, 36.58 ax 10.68 X, 34.85 7 n 12.50 0.00 31.70 1 28.49 6.93 28.45 15 34.17 8.52 27.34 10 17.86 3.80 21.75 37 Under $3,000 $3,0004,999 SXa. Si Xa is the segment mean estimated by cross classification, ax is the standard error of the mean, X, is the regression estimate of the segment mean, n is the sample size in the segment. of the varianceof usage rates of personsdoes not necessarilyimply that there are not substantialdifferences in the mean usage rates for different socioeconomic marketsegments.Differencesin meanusageratesamong segmentsis sufficientconditionfor the developmentof a strategyof marketsegmentation. REFERENCES 1. Franklin B. Evans, "Psychologicaland Objective Factors in the Prediction of Brand Choice: Ford versus Chevrolet," Journal of Business, 32 (October 1959), 340-69. 2. and Harry V. Roberts, "Fords, Chevrolets and the Problem of Discrimination,"Journal of Business, 36 (April 1963), 242-4. 3. Robert Ferber, "Researchon Household Behavior,"American Economic Review, 52 (March 1962), 19-63. 4. Ronald E. Frank, "Market Segmentation Research: Findings and Implications,"in Frank M. Bass, Charles W. 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