Marketing Science Conference 2000, UCLA FR-A4, 9:00-10:30 Anticipatory (Eagerly-awaited) Good/Service: Estimating Sales Patterns of Music CDs by Weibull Distribution Model Masataka Yamada Kyoto Sangyo University myamada@cc.kyoto-su.ac.jp Ryuji Furukawa Evergreen Japan Corporation r.furukawa@evergreen-japan.co.jp Hiroshi Kato Iihara Management Institute JDX01156@nifty.ne.jp June 23, 2000 (C) Masataka Yamada 1 1 Introduction • From diffusion theory point of view, we define anticipatory (eagerly-awaited) good/service for one of products that indicate rapidly penetrating sales curves to give marketers new strategic implications. • We pick up CD album as one of the anticipatory goods. Then, we test the hypothesis that the diffusion pattern of an anticipatory good/service is a rapidly penetrating one. June 23, 2000 (C) Masataka Yamada 2 1 Introduction (continued) • Second, we found that the diffusion patterns of anticipatory goods are much sharper than those of first purchases of groceries comparing the goodness of fit between Bass diffusion model and Weibull distribution model on the sales data of music CDs. Hence, those goods indicating sharper diffusion curves can be identified as anticipatory goods. • Finally, we consider marketing strategy of new product introductions for anticipatory goods. June 23, 2000 (C) Masataka Yamada 3 1.1 Classification of Products in Marketing • Before we proceed to anticipatory good/service, we would like to review conventional product classifications. • What is a product? A product is anything that can be offered to a market for attention, acquisition, use, or consumption that might satisfy a want or need. • It includes physical objects, services, persons, places, organizations, and ideas (P. Kotler, 1988). June 23, 2000 (C) Masataka Yamada 4 Physical products: automobiles, toasters, shoes, eggs and books Services (Service Products): haircuts, concerts, and vacations Persons: Barbra Streisand, we give her attention, buy her records, and attend her concerts Places: Hawaii can be marketed, in the sense of either buying some land in Hawaii or taking a vacation there. June 23, 2000 (C) Masataka Yamada 5 Organizations: The American Red Cross can be marketed, in the sense that we feel positive toward it and will support it. Ideas: family planning, safe driving June 23, 2000 (C) Masataka Yamada 6 Three Levels of Product • Core Product: what is the buyer really buying? Core benefit or service • Tangible Product: a quality level, features, styling, a brand name, and packaging. • Augmented Product:delivery and credit, installation, after sale service, and warranty. June 23, 2000 (C) Masataka Yamada 7 Some Examples of Product Classifications • Nondurable goods, Durable goods and Services based on their durability or tangibility. June 23, 2000 (C) Masataka Yamada 8 Consumer goods classification Consumer goods are classified on the basis of consumer shopping habits because they have implications for marketing strategy: Convenience goods Shopping Specialty goods goods Unsought goods S taple goods Im pulse goods Em ergency goods June 23, 2000 (C) Masataka Yamada 9 Industrial goods classification Industrial goods can be classified in terms of how they enter the production process and their relative costliness: Materials and Parts Capital Items Supplies and Services Raw Materials Installations Supplies Manufactured materials and parts Accessory equipment Business services June 23, 2000 (C) Masataka Yamada 10 What is the purpose of product classifications? • Marketers believe that each product type has an appropriate marketing-mix strategy. Or it gives marketers implications for marketing strategy. June 23, 2000 (C) Masataka Yamada 11 An approach to Product Classification from Diffusion Theory of New Product • We would like to add another approach to classify product for the decision making of marketing strategy from diffusion theory of new products . June 23, 2000 (C) Masataka Yamada 12 2 Past Researches of Diffusion Patterns of New Products • Fourt and Woodlock (1960), q=0, Exponential Curve, Grocery Products • Mansfield (1961), p=0, Logistic Curve, Industrial Products • Bass(1969), combined the above two • Lekvall and Wahlbin (1973) • Gatignon and Robertson (1985), 29 propositions • Bayus(1993), Consumer Electronics and Electric Appliances • Sawhney And Eliashberg (1996), Movies f (t ) f (t ) p p 0 June 23, 2000 Patterns can be regarded as being continuous from Sshaped ones to J-shaped ones. (C) Masataka Yamada Time 0 Time 13 Correspondence between Bayus' Segments and the Classes Product Group Characteristics Segment 1 Housewares and Smaller Appliances 2 Major Appliances 3 4 Products with Large Production Efficiency 5 Comparative Details #1 has a lower avarage price than #2 Products Electric Toothbrush, Fire Extinguisher, Hair Setter, Slow Cooker, Styling Dryer, Trash Compactor, Turntable Can Opener, CassetteTape Deck, Curling Iron, Electric blancket, Heating Pad, Knife Sharpner, Lawn Mower, Waffle Iron B&W TV, Blender, Deep Fryer, Electric Dryer, Food Processor, Microwave Oven, Room A/C #4 is starting out Color TV, Refrigerator, VCR much higher price point than #3 Calculator, Digital Watch large market potentials, and high learning and price trend coefficients Basic Pattern* Class (1) III (3) II (3) I (2) I (3) II * = Three Basic Patterns (1) fast initial growth with sales peaking quickly (segment #1) (2) a long introduction growth period (segment #4) (3) a moderate introduction and growth period, with differences primarily in the market potential size (segment #2, #3, and #5) ( The original data are taken from Table 5 on p. 1329, Bayus 1993 and all in the US market ) June 23, 2000 (C) Masataka Yamada 14 Name of Movie T j (Wks) Terminator 2 24 Robin Hood 20 The Rocketeer 17 Dying Young 10 Naked Gun 2-1/2 19 The Doctor 21 V.I. Warshowski 10 Mobsters 10 Hot Shots! 16 Doc Hollywood 19 Die Hard 2 15 Days of Thunder 13 Betsy's Wedding 10 Exorcist III 6 Arachnophobia 10 Ghost 20 Bird on a Wire 19 Cadillac Man 12 Wild at Heart 11 p q m p /q 0.553 0 142.532 #DIV/0! 0.319 0 141.780 #DIV/0! 0.347 0.371 42.804 0.935 0.56 0 32.218 #DIV/0! 0.557 0 73.703 #DIV/0! *** *** *** #VALUE! 0.553 0.858 9.607 0.645 0.651 0.161 17.801 4.043 0.279 0 73.562 #DIV/0! 0.193 0 65.883 #DIV/0! 0.398 0.149 102.719 2.671 0.295 0.421 71.384 0.701 0.199 0.724 18.949 0.275 0.288 1.353 22.062 0.213 0.181 0.876 42.911 0.207 0.116 1.02 68.601 0.114 *** *** *** #VALUE! *** *** *** #VALUE! 0.174 1.346 10.498 0.129 Class Exponential V Exponential V Gen. Gamma III Exponential V Exponential V *** *** Erlang-2 III Gen. Gamma V Exponential V Exponential V Gen. Gamma IV Gen. Gamma III Erlang-2 III Erlang-2 II Erlang-2 II Erlang-2 II *** *** *** *** Erlang-2 II Type of Pattern (made from Table 1 on p. 123, Sawhney and Eliashberg 1996) June 23, 2000 (C) Masataka Yamada 15 Our Classification Method of Diffusion Patterns • Yamada, Masataka, Ruji Furukawa and Mamoru Ishihara (1997) Mahajan, Vijay, Eitan Muller and Rajendra K. Srivastava (1990) June 23, 2000 (C) Masataka Yamada 16 Figure 1. Class I Pattern: 0 < T IN 0 T June 23, 2000 T T * (C) Masataka Yamada Laggards Late Majority Early Adopters Innovators p Early Majority f (t ) T Time 17 Bass Continuous Time Domain Diffusion model 2 p q t p q t p q e 1 e F t 1 e p q f (t ) p q t F TIN 0 1 e p q TIN 1 p 1 3 1 3 p f (t )dt 1 7 4 3 q 2 4 2 4 q p p q TIN 8 4 3 1 e q p 1 2 3 q 1 p T1 ln 2 3 pq q F T1 p 1 T* ln pq q 1 p F T * 1 2 q T2 1 p 1 ln p q 2 3 q June 23, 2000 2 1 p TIN T * 2T * T1 2T1 T * ln 7 4 3 pq q TIN 1 p q t p 1 p e q F T2 3 3 1 2 3 (C) Masataka Yamada 3 3 qp Noting that F () f ( qp ), we invented the following classification method and class map. 18 A Typical Pattern for the Respective Class f (t ) Figure2. Class II Pattern: T IN < 0 < T 1 Figure 3. Class III Pattern: T 1 < 0 < T * f (t ) p p 0 f (t ) T1 T* Time T2 T* 0 Figure 4. Class IV Pattern: T * < 0 < T 2 f (t ) p Time T2 Figure 5. Class V Pattern: T 2 < 0 p 0 T2 June 23, 2000 Time Time 0 (C) Masataka Yamada 19 Class Map with Iso-Peak Time Curves Class IV p q p 2 3 q 0.3 Class V 0.28 0< T 0.26 0.24 0< T 2 p * T * =1 0< T 1 Class III 0.22 p 0.28q** p 2 3 q 0.2 0.18 0.14 p 74 3 q Class II 0.16 T * =2 0.12 0.1 0< T IN T * =3 0.08 Class I T * =4 0.06 0.04 * T * =5 T =6 * T =7 T * =10 0.02 0 0 ** p 0.28q 0.5 1 1.5 * is an orbit of the maximum p's forT fixed 's. June 23, 2000 (C) Masataka Yamada q 2 2.5 20 Table 1 Classification Criteria for Diffusion Patterns Class I II III IV V June 23, 2000 Timing 0 TIN Lower bound p/q Upper bound 0 < p/q < 7 4 3 0.072 < p/q < 2 3 0.268 2 3 0.268 < p/q < 1.000 1.000 < p/q < 2 3 3.732 2 3 3.732 < p/q < TIN 0 T1 7 4 3 0.072 T1 0 T * T * 0 T2 T2 0 (C) Masataka Yamada 21 3 Adoption and Diffusion Process of New Product Announcement Awareness Knowledge Decision (Intension) Attitude Introduction Initial Value (Attractiveness) Information, Involvement Perceived Risk Value (Attractiveness) at the time of its adoption decision∝ Initial Value ( Attractiveness) / Perceived Risk Action (Adoption) Time to act from its adoption decision ∝ 1 / Value (Attractiveness) at the time of its adoption decision Speed of Supply Response: Product, Manufacturing, Distribution, Cyberspace Marketing Mix Setting Marketing Mix Adjustment Personality and Attributes: Five categories of Rogers, Lifestyle Product Characteristics Inventory of Similar Products, Existence of competing product categories Market Characteristics : things that influence indivisual person's adoption decision : things that firms influence indivisual person's adoption decision or things that are given Note that this conceptual model is made to answer the question why different diffusion patterns from S-shaped curve to J-curve exist. June 23, 2000 (C) Masataka Yamada 22 3 Adoption and Diffusion Process of New Product Announcement Awareness Knowledge Decision (Intention) Attitude Introduction Initial Value (Attractiveness) Excitement / Innovativeness Information, Involvement Perceived Characteristics of Innovativeness: (1) Relative Advantage, (2) Compatibility, (3) Complexity, (4) Trialability, (5) Observability. Word-of- mouth Communications Price Tie-up with multiplemedia Price decreasing Sample offering Country, Region, Organization, Firm Brand Popularity: Director, Star, Producer, Songwriter, Composer, Artist Marketing Mix Setting Action (Adoption) Review, Publicity Time to act from its adoption decision ∝ 1 / Value (Attractiveness) at the time of its adoption decision Advertisement Series, Junior Marketing Mix Adjustment Value (Attractiveness) at the time of its adoption decision∝ Initial Value ( Attractiveness) / Perceived Risk Perceived Risk Speed of Supply Response: Product, Manufacturing, Distribution, Cyberspace Personality and Attributes: Five categories of Rogers, Lifestyle Product Characteristics Inventory of Similar Products, Existence of competing product categories Market Characteristics : things that influence individual person's adoption decision : things that firms influence individual person's adoption decision or things that are given Skip Note that this conceptual model is made to answer the question why different diffusion patterns from S-shaped curve to J-curve exist. June 23, 2000 (C) Masataka Yamada 23 Initial Value (Attractiveness) Excitement / Innovativeness Perceived Characteristics of Innovativeness: (1) Relative Advantage, (2) Compatibility, (3) Complexity, (4) Trialability, (5) Observability. Price Country, Region, Organization, Firm Brand Popularity: Director, Star, Producer, Songwriter, Composer, Artist Series, Junior June 23, 2000 (C) Masataka Yamada Back 24 Information, Involvement Word-of- mouth Communication Review, Publicity Advertisement Tie-up with multiple media Price decreasing Sample offering June 23, 2000 (C) Masataka Yamada Back 25 Value (Attractiveness) at the time of its adoption decision Initial Value ( Attractiveness) / Perceived Risk Back June 23, 2000 (C) Masataka Yamada 26 Time to act from its adoption decision 1 / Value (Attractiveness) at the time of its adoption decision Back June 23, 2000 (C) Masataka Yamada 27 Speed of Supply Response: Product, Manufacturing, Distribution, Cyberspace Personality and Attributes: Five categories of Rogers, Lifestyle Product Characteristics Inventory of Similar Products, Existence of competing product categories Market Characteristics Back June 23, 2000 (C) Masataka Yamada 28 4. Anticipatory (Eagerly-awaited) Good/Service • Episode: Tickets for the national singer, Hikaru Utada’s first whole country concert tour are put on sale on April 22, 2000 and all of 70,000 seats are sold out within 90minutes. Also the sales of her new single “Wait and See~Risk~” have already exceeded 1.3 million CDs within first three days after its introduction. Her popularity seems to stop nowhere. (ZAX 4/23/00). June 23, 2000 (C) Masataka Yamada 29 4.1 Definition: • An anticipatory (Eagerly-awaited) good/service is anything that can be offered to a market for attention, acquisition, use, or consumption that might satisfy an anticipatory want or need. June 23, 2000 (C) Masataka Yamada 30 Examples: • Computer software (Windows95), TV Game software (Final Fantasy), Movies with Celebrated Stars/Director (Terminator 2), Music CDs with Famous Artist/Group (Hikaru Utada). June 23, 2000 (C) Masataka Yamada 31 Properties: • 1. High Value: Consumers want it eagerly and obtain it anyway when it becomes available because they like it. They may be fans, admirers, and the like. • 2. Intensive Information Search: Consumers are willing to make great efforts to search for information about its content, available time and date, etc., to travel for obtaining it and so on. Often times, there are abundant supply of its information through firms’ marketing efforts. June 23, 2000 (C) Masataka Yamada 32 Properties (continued): • 3. Low Risk: Consumers basically like it because of their satisfaction with its previous version. Therefore, they have very little perceived risk on it. They anticipate the same or more level of satisfaction than before. • 4. Low Risk: It should be reasonably priced so that consumers can tolerate its unsatisfactory performance even if it happens to be the case. • 5. It may have “out of stock” or “sold out” risk but for certain products such as music by internet may not have this risk at all and at the same time it offers instantaneous supply responses for consumers. June 23, 2000 (C) Masataka Yamada 33 Reasons for Album CD Purchases My favorite artist My favorite single in it Impression through TV, Radio and Stores From http://www.ongakudb.com/ June 23, 2000 (C) Masataka Yamada 34 4.2 Hypothesis • Anticipatory good/service should take a rapid penetration diffusion pattern (Class V). f (t ) Figure 5. Class V Pattern: T 2 < 0 p Time 0 June 23, 2000 (C) Masataka Yamada 35 Operational Hypotheses • H1: The rate of CDs whose diffusion patterns are rapid penetration diffusion patterns within the album CDs is greater than that of the single CDs. • H2: Sales pattern of unknown singer’s debut single CD (unanticipatory good) does not take a rapid penetration diffusion pattern. June 23, 2000 (C) Masataka Yamada 36 Operational Hypotheses(continued) • H3: The sales patterns of the debut singles of new groups and singers who are produced through a well designed process such as “ASAYAN” contest program of TV Tokyo are rapidly penetrating ones. • The cases of the debut singles of “Sun and Cisco-moon,” Ami Suzuki and “Morning Girls” are analyzed. June 23, 2000 (C) Masataka Yamada 37 Data Used • Authorized dealers of manufacturers, wholesaler-related stores, and mail order companies and companies for business uses are sharing the distribution channels of music CDs and records by 45%, 50%, and 5% respectively(Recording Industry in Japan 1999, Recording Industry Association of Japan 1999). • Our data are the sales data of music CDs sold at one of national chains of convenience stores obtained through Iihara Management Institute, related to one of the major wholesalers, Seikodo(http://www.seikodo.co.jp/index.html). June 23, 2000 (C) Masataka Yamada 38 Some Details of Convenience Stores • Usually convenience stores start to sell new CDs from 3pm on the day before the officially announced sales date by manufacturers. They generally open stores for 24 hours. • The original data are disguised for proprietary reasons and the day before the announced sales date is treated as a one half day duration for our computation. • Period for data collection:10/14/97-7/09/99 • Number of CDs: 256 • Number of data points: 56 days (eight weeks) June 23, 2000 (C) Masataka Yamada 39 4.3 Results for Hypotheses Testing • H1: The rate of CDs whose diffusion patterns are rapid penetration diffusion patterns within the album CDs is greater than that of the single CDs. • The rate for album CDs: P1=119/121=0.983 • A001 97/11/11 MAX4 Omnibus Western Music • A009 97/12/11 Nobuteru Maeda HARD PRESSED • The rate for single CDs: P2=135/153=0.882 H A : P1 P2 0 H 0 : P1 P2 0, Z pp p (1 p ) p (1 p ) n n 1 1 2 1 1 F(3.5315)=0.999793 June 23, 2000 2 2 0.983 0.882 3.5315 0.983(1 0.983) 0.882(1 0.882) 121 153 2 H0 can be rejected at (C) Masataka Yamada 0.001 40 A Typical Rapid Penetration Curve We learned that albums can be regarded as anticipatory goods by almost 100%. Because A001 is an omnibus CD which does not have any particular artist, and A009 seems to demonstrate basically a rapid penetration pattern. 80 60 40 20 0 June 23, 2000 20 0 40 60 (C) Masataka Yamada 20 40 60 40 60 A009 120 100 80 60 40 20 0 100 0 A002 1997/11/11hitomi deja-vu (%) A001 (%) 120 (%) 120 100 80 60 40 20 0 0 20 41 H2: Sales pattern of unknown singer’s debut single CD (unanticipatory good) does not take a rapid penetration diffusion pattern. We have only two unknown singers’ debut single CDs in our data. Their patterns are shown below: (%) S057 1998/5/12 The Brilliant Green, THERE 100 WILL BE LOVE THERE 80 60 40 20 0 0 20 June 23, 2000 40 60 (%) S079 1998/7/7 CONVERTIBLE OH-DARLING 25 20 15 10 5 0 0 20 40 60 (C) Masataka Yamada 42 H3: The sales patterns of the debut singles of new groups and singers who are produced through a well designed process such as “ASAYAN” contest program of TV Tokyo are rapid penetration ones. The cases of the debut singles of “Sun and Cisco-moon,” Ami Suzuki and “Morning Girls” are tested. S140 1999/4/20 “Sun and Cisco-moon,” Moon and Sun 120 100 80 60 40 20 0 0 June 23, 2000 20 (C) Masataka Yamada 40 60 43 Ami Suzuki(from ORICON data) 160,000 140,000 120,000 100,000 80,000 60,000 40,000 20,000 0 3rd Single 11/5/98 2nd Single 9/17/98 Debut Single 7/1/98 0 June 23, 2000 5 (C) Masataka Yamada 10 week 15 44 “Morning Girls” (from ORICON data) 200,000 3rd Single 9/9/98 150,000 Debut Single 1/28/98 100,000 2nd Single 5/27/98 50,000 0 0 June 23, 2000 2 4 (C) Masataka Yamada 6 week 8 45 5. Model Fitting on CD Sales Data for Further Investigations and Model Finding for Better Forcasting • Almost all the sales patterns seem to be taking rapid penetration curves by eye-ball inspection. • Usually exponential model is fitted on this type of data. Note that exponential model is a special case of Bass diffusion model when the internal influence parameter, q, is zero. • Also Weibull distribution model is fitted because of its better performance for the first several data points. June 23, 2000 (C) Masataka Yamada 46 Weibull Distribution • Weibull two parameter probability distribution function of adoption time (t) is given as follows: • Ft(t )=1-EXP (-(t/ )c), t >0 • c: shape parameter, : scale parameter • Let the potential market size be m, then the cumulative number of adoptions at the end of time t, Yt, can be given as below: • Yt=m Ft(t) • Note for managerial convenience that when t= , regardless of the value of c, Ft(t= )=1-EXP(-1)=0.63 June 23, 2000 (C) Masataka Yamada 47 Weibull Distribution(continued) • In order to compute cumulative unit sales:Y1, Y2, Y3, , , unit sales from t=0 to t=0.5, S1, unit sales from t=0.5 to t=1.5, S2, unit sales from t=1.5 to t=2.5, S3, , , are summed up accordingly and respectively. • Let t be an error, then our model becomes as follow: Yt=m Ft(t )+ t , where, t~N (0, 2) is assumed. • PROC NLIN of SAS is used for the parameter estimation. June 23, 2000 (C) Masataka Yamada 48 Model Selection Criteria • Adjusted R2: • AIC: SSE MSE n p 2 Ra 1 1 SST MST n 1 AIC n ln( SSE n) 2 p We did not use these criteria. Because we found that the following graphs better demonstrate the respective model performance. June 23, 2000 (C) Masataka Yamada 49 ALBUM: Average Absolute Percentage Errors, n=121 Average of e t 's (%) 50.0 40.0 30.0 20.0 10.0 0.0 Absolute Percentage Error: et =100*|Yt -y^t |/Y t Y t =Cumulative Sales at t Bass y^t =fitted value for Y Weibull 1 June 23, 2000 11 21 31 41 t 51 t=day (C) Masataka Yamada 50 ALBUM: Absolute Percentage Errors ofWeibull Model, n=121 (%) 9.0 8.0 7.0 6.0 5.0 4.0 3.0 2.0 1.0 0.0 mean >median mean median 1 6 June 23, 2000 11 16 21 26 31 36 (C) Masataka Yamada 41 46 51 t=day 51 ALBUM: Absolute Percentage Errors ofBass Model, n=121 (%) mean median median 45.0 40.0 35.0 30.0 25.0 20.0 15.0 10.0 5.0 0.0 0 June 23, 2000 10 20 30 40 (C) Masataka Yamada 50 52 Weibull Model fits better than Bass Model on the Music CD Sales Data • This implies that diffusion patterns of anticipatory goods take much sharper pattern, especially during first few periods, than grocery goods whose first purchase sales patterns are generally believed to be exponential curves (Fourt and Woodlock (1960)). June 23, 2000 (C) Masataka Yamada 53 Distribution of c (shape parameter) mean=0.697066, median=0.684119, N=117 Stem 9 9 8 8 7 7 6 6 5 5 4 4 Leaf 77 02233 559 000111222333344 55666666889999 000001112222334 556666677777777888889999 00111112222334444 6666777789999 000113 589 # 2 5 3 15 14 15 24 17 13 6 3 Boxplot | | | | +-----+ | + | *-----* +-----+ | | | ----+----+----+----+---Multiply Stem.Leaf by 10**-1 June 23, 2000 (C) Masataka Yamada 54 Distribution of alpha (scale parameter) mean=17.5, median=14.1, N=117 Stem 9 8 8 7 7 6 6 5 5 4 4 3 3 2 2 1 1 0 0 Leaf 0 # 1 Boxplot * 2 1 * 1 5 1 1 * * 1 1 1 1 4 5 11 25 34 27 3 * 0 0 0 0 | | +--+--+ *-----* +-----+ | 3 5 4 9 0044 55579 00112222334 5555556667777888888899999 0000011111222222233333444444444444 556666777778888888999999999 244 ----+----+----+----+----+----+---Multiply Stem.Leaf by 10**+1 June 23, 2000 (C) Masataka Yamada 55 Conclusions • We proposed a new classification for product/service, namely, anticipatory good/service vs unaticipatory good/service from new product diffusion pattern perspective. • We found that the diffusion pattern of anticipatory good/service takes the rapidly penetrating (J-shaped) pattern. • We found that it can not be captured well by Bass diffusion (=exponential ) curve (ex. first purchase sales patterns of grocery goods) . They are generally much sharper than those captured by Bass model. Hence, those goods indicating sharper rapid penetrating diffusion curves can be identified as anticipatory goods. • Therefore, diffusion strategy of new products for anticipatory good/service must be different from unaticipatory good/service. June 23, 2000 (C) Masataka Yamada 56 Conclusions (continued) • Marketing strategy for a new anticipatory good/service: (1) One should let consumers be involved from its development stage. Ex. (a) ASAYAN project of TV Tokyo; (b) use famous artists, movie stars, directors; (c) make it series etc. (2) Before the introduction of a new product, its promotion and publicity should be done as intensively and widely as possible into the target market. (3) The initial price should be set at the most reasonable level possible or free if possible. June 23, 2000 (C) Masataka Yamada 57 Future Research Directions • Analyze albums further. • Analyze singles. • Models for sales forecasts. June 23, 2000 (C) Masataka Yamada 58 References • Bass, Frank M. (1969), “A New Product Growth Model for Consumer Durables,” Management Science, Vol. 15 (January), 215-227. • Bayus, Barry L. (1993), “High-Definition Television: Assessing Demand Forecasts for a Next Generation Consumer Durable,” Management Science, Vol. 39 (November), 1319-1333. • Fourt, L. A. And Woodlock, J. W. (1960), "Early Prediction of Market Success for New Grocery Products," Journal of Marketing, Vol. 25 (October), 31-38. • Gatignon, Hubert, Jehoshua Eliashberg and Thomas S. Robertson (1989), “Modeling Multinational Diffusion Patterns: An Efficient Methodology,” Marketing Science, Vol. 8, No. 3 (Summer), 231-247. June 23, 2000 (C) Masataka Yamada 59 References(continued) • Lekvall, Per and Clas Wahlbin (1973), “A Study of Some Assumptions Underlying Innovation Diffusion Functions,” Swedish Journal of Economics, 75,362-377. • Mahajan, Vijay, Eitan Muller and Rajendra K. Srivastava (1990), “Determination of Adopter Categories by Using Innovation Diffusion Models,” Journal of Marketing Research, Vol. XXVII (February), 37-50. • Mansfield, Edwin (1961), “Technical Change and the Rate of Innovation,” Econometrica, 29, October, 741-766. • Sawhney, Mohanbir S. And Jehoshua Eliashberg (1996), “A Parsimonious Model for Forecasting Gross Box-Office Revenues of Motion Pictures,” Marketing Science, Vol.15, No. 2, 113-131. June 23, 2000 (C) Masataka Yamada 60 References(continued) • Yamada, Masataka, Ruji Furukawa and Mamoru Ishihara (1997) “A Classification Method of Diffusion Patterns with a Class Map,” ACTA HUMANISTICA ET SCIENTIFICA, UNIVERSITATIS SANGIO KYOTIENSIS, Vol. 28, No. 2, Social Science Series No. 14 (March), Kyoto Sangyo University, 59-82. June 23, 2000 (C) Masataka Yamada 61