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UnicView
           Market Research & Consultant



Multi-Dimension scaling

                        Prepared by Ulysess
Content
 Multi-dimension scaling

 Social network analysis

 Association analysis

 Tools
Multi-dimension scaling
Introduction
MDS could visualize similarity with distance that help researcher
better understand the similarity


     Logo similarity                              Distance
Matrix
Square matrix               Symmetrical matrix
Row and column represents   The data of upside and
the same thing              bottom of diagonal are the
                            same
     A   B   C   D               A   B   C    D

 A                          A        1    3   5

 B                          B    1        2   3

 C                          C    3   2        5

 D                          D    5   3    5
Dissimilarity matrix
※ SPSS MDS could only use dissimilarity matrix

Low score represents high similarity, the lower score, the more
similarity



 similarity                               Dissimilarity
      1                                           5
MDS in market research
         Category management is very important in
         shopper study, adjacencies analysis is a useful
         method in category management which could
         understand how shoppers make sense of
         categories




         MDS could be used to visualize the result of
         adjacencies analysis, it could use distance to
         represents similarity of product or category
Sample
We want to illustrate relationship of a group of people

Sample                                    Shopper study

People                                    Product/category

Likeness                                  Similarity

Asymmetrical matrix                       Symmetrical matrix
Questionnaire design
Please grade the likeness towards following people from 1-5, 1 represents
extremely like while 5 is extremely dislike

   SPRINGER
    ZIMCHEK
  LANGFORD
     AHGHEL
       LEWIS
  ROBINSON
         RAO
     KHOURY
     DEVERS
        DAEL
     CUSTER
     RATANA
         LIAN
    BELTRAN
CARRINGTON
VALENZUELA
      HAMIDI                     ※ In adjacencies analysis product are randomly
     BAKKEN
                                 presented to respondents for them to group,
         CHA
                                 Then give assignment to them
    SHEARER
Dataset                                                                                                                                                                                                      Square matrix




                                                                                                                                              CARRINGTON
                                                                                                                                                           VALENZUELA
                                     LANGFORD




                                                                 ROBINSON
                SPRINGER




                                                                                                                                                                                                SHEARER
                                                                                                                                    BELTRAN
                           ZIMCHEK

                                                                                                                                                                                                                    A B C D




                                                                                  KHOURY
                                                AHGHEL




                                                                                                           CUSTER
                                                                                           DEVERS




                                                                                                                    RATANA




                                                                                                                                                                                 BAKKEN
                                                                                                                                                                        HAMIDI
                                                         LEWIS




                                                                                                    DAEL
                                                                                                                                                                                                                A




                                                                                                                             LIAN
                                                                            RAO




                                                                                                                                                                                          CHA
                                                                                                                                                                                                                B
   SPRINGER                  1         2         2        2        2        5      5        2        2      4        3        4       3          4            3          2        2       4       3
    ZIMCHEK       1                    1         2        2        1        5      5        1        2      2        2        4       1          5            3          1        2       4       3
                                                                                                                                                                                                                C
  LANGFORD        2          1                   2        2        2        4      5        2        2      3        2        4       2          4            3          3        2       5       3             D
     AHGHEL       3          2         2                  1        3        4      2        3        2      3        1        5       3          4            3          3        3       3       3
       LEWIS      3          2         2         1                 3        4      5        3        2      3        1        5       3          2            3          3        3       3       3
  ROBINSON        2          1         1         2        2                 5      4        1        3      2        1        4       2          3            1          1        1       5       3          Asymmetrical matrix
         RAO      4          5         5         4        4        5               3        5        5      5        4        4       5          5            4          5        5       2       3
     KHOURY       5          5         4         3        5        3        3               5        4      5        5        4       4          3            1          5        5       4       3
                                                                                                                                                                                                                    A B C D
     DEVERS       2          1         2         2        2        1        5      5                 1      3        3        4       1          3            3          2        2       4       3             A     1 3 5
        DAEL      3          2         2         2        2        2        4      5        2               1        1        4       3          3            3          3        3       5       3             B   2   2 3
     CUSTER       3          2         3         2        2        3        4      4        2        1               3        4       3          3            3          3        3       4       3             C   4 5   5
     RATANA       3          3         3         1        1        2        4      5        3        1      4                 3       3          3            3          2        3       4       3
                                                                                                                                                                                                                D   4 2 3
         LIAN     3          4         5         2        2        4        5      3        4        3      3        3                2          1            3          3        3       4       3
    BELTRAN       3          2         3         3        3        4        5      4        3        3      3        3        2                  2            3          3        1       5       3
CARRINGTON        3          3         4         2        1        4        3      2        4        3      3        3        1       1                       3          3        3       4       3           Dissimilarity matrix
VALENZUELA        2          3         2         3        3        2        4      1        3        4      4        2        3       3          3                       3        2       5       3
      HAMIDI      2          2         3         2        2        1        5      5        2        1      3        1        3       3          3            2                   1       5       3
                                                                                                                                                                                                          similarity        Dissimilarity
     BAKKEN       2          2         1         2        2        1        5      5        2        1      2        1        4       3          3            2          1                5       3
         CHA      5          3         5         5        5        4        5      4        3        4      5        3        5       4          3            4          4        4               3
                                                                                                                                                                                                               1                   5
    SHEARER       2          3         1         1        2        1        5      5        3        3      3        1        5       3          3            2          2        2       5
MDS result visualize by Tableau
Tableau example
Social network analysis
※ Another method to understand similarity
Introduction
Social network analysis (SNA) is the methodical analysis of social
networks. Social network analysis views social relationships in terms
of network theory, consisting of nodes (representing individual actors
within the network) and ties (which represent relationships between the
individuals, such as friendship, kinship, organizational position, sexual
relationships, etc.) These networks are often depicted in a social network
diagram, where nodes are represented as points and ties are represented
as lines



   CONNECTOR                      MAVEN                    SALESMAN
  Connect people to        Connect people through
                                                         Uses knowledge to
     each other              sharing knowledge
                                                        engage and persuade
Social network analysis result by Ucient & Netdraw
Association analysis
(Market basket analysis)
A story: beer and diapers
There is a story that a large supermarket chain, usually Wal-Mart, did an
analysis of customers' buying habits and found a statistically significant
correlation between purchases of beer and purchases of nappies (diapers
in the US). It was theorized that the reason for this was that fathers were
stopping off at Wal-Mart to buy nappies for their babies, and since they
could no longer go down to the pub as often, would buy beer as well. As a
result of this finding, the supermarket chain is alleged to have the nappies
next to the beer, resulting in increased sales of both.
General concept                              (1/3)


ID    P1       P2         P3         P4
1    bread   cheese      butter     water
2    water     milk      bread      noodle
3    milk    noodle      meat        beer
4    fish    softdrink frozenmeal   bread


                          Antecedent                 Consequent
General concept                             (2/3)


Instances
To each rule, instances represent the number of record of
included rule’s antecedent

Support
Similar with instances, support describe percentage instead of
number

Rule support
The percentage of record of included both rule’s antecedent and
consequent
General concept                              (3/3)


Confidence
Rule support / Support
Accuracy of prediction

Lift
Confidence / Prior probability of rule’s consequent
Lift>1 is meaningful
Dataset




                                                                                                                                                                          confectionery
                                                                                                               cannedmeat
                                                                                                                            frozenmeal
                                                                                                   cannedveg
                                                                               freshmeat
                                          homeown
                          pmethod




                                                                                                                                                       softdrink
                                                                    fruitveg
                                                     income
      cardid




                 value




                                                                                           dairy




                                                                                                                                                wine
                                                                                                                                         beer
                                                              age




                                                                                                                                                                   fish
                                    sex
id
 1   39808     42.7123   CHEQUE M NO                27000     46 F               T          T        F           F            F           F      F       F          F        T
2    67362     25.3567   CASH       F NO            30000     28 F               T          F        F           F            F           F      F       F          F        T
3    10872     20.6176   CASH       M NO            13200     36 F               F          F        T           F            T           T      F       F          T        F
4    26748     23.6883   CARD       F NO            12200     26 F               F          T        F           F            F           F      T       F          F        F
5    91609     18.8133   CARD       M YES           11000     24 F               F          F        F           F            F           F      F       F          F        F
6    26630     46.4867   CARD       F NO            15000     35 F               T          F        F           F            F           F      T       F          T        F
7    62995     14.0467   CASH       F YES           20800     30 T               F          F        F           F            F           F      F       T          F        F
8    38765     22.2034   CASH       M YES           24400     22 F               F          F        F           F            F           T      F       F          F        F
9    28935     22.975    CHEQUE F NO                29500     46 T               F          F        F           F            T           F      F       F          F        F
10   41792     14.5692   CASH       M NO            29600     22 T               F          F        F           F            F           F      F       F          T        F
…
※ Totally 1000 records
Beer
                                                                                                                        Canned
                                                                                                                Promotion veg

                                                                                                                Frozen
                                                                                                                 meal




                                                                                             Rule Support %
                                                                              Confidence %
          Consequent




                                 Antecedent




                                                                 Support %
                                                    Instances
Rule




                                                                                                                Lift
 1     frozenmeal        cannedveg and beer        167          17.766 87.425 15.532 2.721

 2     cannedveg         frozenmeal and beer       170          18.085 85.882 15.532 2.664
 3       beer          cannedveg and frozenmeal    173          18.404 84.393 15.532 2.707
 4     frozenmeal               beer               293          31.17        58.02 18.085 1.806
 5     cannedveg              frozenmeal           302          32.128 57.285 18.404 1.777
 6     frozenmeal             cannedveg            303          32.234 57.096 18.404 1.777
 7     cannedveg                beer               293          31.17 17.766 1.768                             1.768
 8       beer                 frozenmeal           302          32.128 56.291 18.085 1.806
 9       beer                 cannedveg            303          32.234 55.116 17.766 1.768



                                              Association analysis result by Clementine
Filter by frequency at 160




Strong links are heavier




                    Association analysis result by Clementine Web graph
Tools used in this presentation
Presentation flow by Mindmanger
Tools
      Data analysis SPSS                 Data visualization




 Data mine
  Clementine                    Flow


Social network analysis



                                       Color wheel



                      Netdraw
                                                              Oto255
        Gephi

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shopper study

  • 1. UnicView Market Research & Consultant Multi-Dimension scaling Prepared by Ulysess
  • 2. Content  Multi-dimension scaling  Social network analysis  Association analysis  Tools
  • 4. Introduction MDS could visualize similarity with distance that help researcher better understand the similarity Logo similarity Distance
  • 5. Matrix Square matrix Symmetrical matrix Row and column represents The data of upside and the same thing bottom of diagonal are the same A B C D A B C D A A 1 3 5 B B 1 2 3 C C 3 2 5 D D 5 3 5
  • 6. Dissimilarity matrix ※ SPSS MDS could only use dissimilarity matrix Low score represents high similarity, the lower score, the more similarity similarity Dissimilarity 1 5
  • 7. MDS in market research Category management is very important in shopper study, adjacencies analysis is a useful method in category management which could understand how shoppers make sense of categories MDS could be used to visualize the result of adjacencies analysis, it could use distance to represents similarity of product or category
  • 8. Sample We want to illustrate relationship of a group of people Sample Shopper study People Product/category Likeness Similarity Asymmetrical matrix Symmetrical matrix
  • 9. Questionnaire design Please grade the likeness towards following people from 1-5, 1 represents extremely like while 5 is extremely dislike SPRINGER ZIMCHEK LANGFORD AHGHEL LEWIS ROBINSON RAO KHOURY DEVERS DAEL CUSTER RATANA LIAN BELTRAN CARRINGTON VALENZUELA HAMIDI ※ In adjacencies analysis product are randomly BAKKEN presented to respondents for them to group, CHA Then give assignment to them SHEARER
  • 10. Dataset Square matrix CARRINGTON VALENZUELA LANGFORD ROBINSON SPRINGER SHEARER BELTRAN ZIMCHEK A B C D KHOURY AHGHEL CUSTER DEVERS RATANA BAKKEN HAMIDI LEWIS DAEL A LIAN RAO CHA B SPRINGER 1 2 2 2 2 5 5 2 2 4 3 4 3 4 3 2 2 4 3 ZIMCHEK 1 1 2 2 1 5 5 1 2 2 2 4 1 5 3 1 2 4 3 C LANGFORD 2 1 2 2 2 4 5 2 2 3 2 4 2 4 3 3 2 5 3 D AHGHEL 3 2 2 1 3 4 2 3 2 3 1 5 3 4 3 3 3 3 3 LEWIS 3 2 2 1 3 4 5 3 2 3 1 5 3 2 3 3 3 3 3 ROBINSON 2 1 1 2 2 5 4 1 3 2 1 4 2 3 1 1 1 5 3 Asymmetrical matrix RAO 4 5 5 4 4 5 3 5 5 5 4 4 5 5 4 5 5 2 3 KHOURY 5 5 4 3 5 3 3 5 4 5 5 4 4 3 1 5 5 4 3 A B C D DEVERS 2 1 2 2 2 1 5 5 1 3 3 4 1 3 3 2 2 4 3 A 1 3 5 DAEL 3 2 2 2 2 2 4 5 2 1 1 4 3 3 3 3 3 5 3 B 2 2 3 CUSTER 3 2 3 2 2 3 4 4 2 1 3 4 3 3 3 3 3 4 3 C 4 5 5 RATANA 3 3 3 1 1 2 4 5 3 1 4 3 3 3 3 2 3 4 3 D 4 2 3 LIAN 3 4 5 2 2 4 5 3 4 3 3 3 2 1 3 3 3 4 3 BELTRAN 3 2 3 3 3 4 5 4 3 3 3 3 2 2 3 3 1 5 3 CARRINGTON 3 3 4 2 1 4 3 2 4 3 3 3 1 1 3 3 3 4 3 Dissimilarity matrix VALENZUELA 2 3 2 3 3 2 4 1 3 4 4 2 3 3 3 3 2 5 3 HAMIDI 2 2 3 2 2 1 5 5 2 1 3 1 3 3 3 2 1 5 3 similarity Dissimilarity BAKKEN 2 2 1 2 2 1 5 5 2 1 2 1 4 3 3 2 1 5 3 CHA 5 3 5 5 5 4 5 4 3 4 5 3 5 4 3 4 4 4 3 1 5 SHEARER 2 3 1 1 2 1 5 5 3 3 3 1 5 3 3 2 2 2 5
  • 11. MDS result visualize by Tableau
  • 13. Social network analysis ※ Another method to understand similarity
  • 14. Introduction Social network analysis (SNA) is the methodical analysis of social networks. Social network analysis views social relationships in terms of network theory, consisting of nodes (representing individual actors within the network) and ties (which represent relationships between the individuals, such as friendship, kinship, organizational position, sexual relationships, etc.) These networks are often depicted in a social network diagram, where nodes are represented as points and ties are represented as lines CONNECTOR MAVEN SALESMAN Connect people to Connect people through Uses knowledge to each other sharing knowledge engage and persuade
  • 15. Social network analysis result by Ucient & Netdraw
  • 17. A story: beer and diapers There is a story that a large supermarket chain, usually Wal-Mart, did an analysis of customers' buying habits and found a statistically significant correlation between purchases of beer and purchases of nappies (diapers in the US). It was theorized that the reason for this was that fathers were stopping off at Wal-Mart to buy nappies for their babies, and since they could no longer go down to the pub as often, would buy beer as well. As a result of this finding, the supermarket chain is alleged to have the nappies next to the beer, resulting in increased sales of both.
  • 18. General concept (1/3) ID P1 P2 P3 P4 1 bread cheese butter water 2 water milk bread noodle 3 milk noodle meat beer 4 fish softdrink frozenmeal bread Antecedent Consequent
  • 19. General concept (2/3) Instances To each rule, instances represent the number of record of included rule’s antecedent Support Similar with instances, support describe percentage instead of number Rule support The percentage of record of included both rule’s antecedent and consequent
  • 20. General concept (3/3) Confidence Rule support / Support Accuracy of prediction Lift Confidence / Prior probability of rule’s consequent Lift>1 is meaningful
  • 21. Dataset confectionery cannedmeat frozenmeal cannedveg freshmeat homeown pmethod softdrink fruitveg income cardid value dairy wine beer age fish sex id 1 39808 42.7123 CHEQUE M NO 27000 46 F T T F F F F F F F T 2 67362 25.3567 CASH F NO 30000 28 F T F F F F F F F F T 3 10872 20.6176 CASH M NO 13200 36 F F F T F T T F F T F 4 26748 23.6883 CARD F NO 12200 26 F F T F F F F T F F F 5 91609 18.8133 CARD M YES 11000 24 F F F F F F F F F F F 6 26630 46.4867 CARD F NO 15000 35 F T F F F F F T F T F 7 62995 14.0467 CASH F YES 20800 30 T F F F F F F F T F F 8 38765 22.2034 CASH M YES 24400 22 F F F F F F T F F F F 9 28935 22.975 CHEQUE F NO 29500 46 T F F F F T F F F F F 10 41792 14.5692 CASH M NO 29600 22 T F F F F F F F F T F … ※ Totally 1000 records
  • 22. Beer Canned Promotion veg Frozen meal Rule Support % Confidence % Consequent Antecedent Support % Instances Rule Lift 1 frozenmeal cannedveg and beer 167 17.766 87.425 15.532 2.721 2 cannedveg frozenmeal and beer 170 18.085 85.882 15.532 2.664 3 beer cannedveg and frozenmeal 173 18.404 84.393 15.532 2.707 4 frozenmeal beer 293 31.17 58.02 18.085 1.806 5 cannedveg frozenmeal 302 32.128 57.285 18.404 1.777 6 frozenmeal cannedveg 303 32.234 57.096 18.404 1.777 7 cannedveg beer 293 31.17 17.766 1.768 1.768 8 beer frozenmeal 302 32.128 56.291 18.085 1.806 9 beer cannedveg 303 32.234 55.116 17.766 1.768 Association analysis result by Clementine
  • 23. Filter by frequency at 160 Strong links are heavier Association analysis result by Clementine Web graph
  • 24. Tools used in this presentation
  • 25. Presentation flow by Mindmanger
  • 26. Tools Data analysis SPSS Data visualization Data mine Clementine Flow Social network analysis Color wheel Netdraw Oto255 Gephi