The document discusses three quality control tools: tree diagrams, matrix diagrams, and arrow diagrams. Tree diagrams systematically develop strategies to achieve objectives. Matrix diagrams clarify problems by considering multiple dimensions and relationships. Arrow diagrams show task relationships and sequences to implement a plan effectively. The document provides instructions on constructing each type of diagram.

1. Tree, Matrix and Arrow Diagram
By
DR.A.Nithya

2. New Seven Q.C. Tools
Tree Diagrams
For Systematically Pursuing the Best Strategies
for Attaining an Objective
 Develops a succession of strategies for
achieving objectives
 Reveals methods to achieve the results.
 Also known as Systematic diagrams or
Dendrograms
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3. New Seven Q.C. Tools
Tree Diagrams
Advantages of Tree Diagrams
 Systematic and logical approach is less likely
that items are omitted
 Facilitates agreement among team
 Are extremely convincing with strategies
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To
Accomplish
Primary means
Constraints
Secondary means
Secondary means
3rd means
3rd means
3rd means
3rd means
4th means
4th means
4th means
4th means
4th means
4th means
4th means

4.  Discuss means of achieving objective (primary
means, first level strategy)
New Seven Q.C. Tools
Tree Diagrams
Constructing a Tree Diagram
Group Method Approach
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 Write Relations Diagram topic (Objective card)
 Identify constraints on how objective can
be achieved
 Take each primary mean, write ob-jective
for achieving it (secondary means)

5. New Seven Q.C. Tools
Tree Diagrams
Constructing an Tree Diagram
Group Method Approach (cont.)
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 Continue to expand to the fourth level
 Review each system of means in both
directions (from objective to means and means to
objective)
 Add more cards if needed
 Connect all levels
Next, complete the diagram

6. New Seven Q.C. Tools
Matrix Diagrams
For Clarifying Problems by “Thinking
Multidimensionally”
 Consists of a two-dimensional array to
determine location and nature of problem
 Discovers key ideas by relationships
represented by the cells in matrix.
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7. New Seven Q.C. Tools
Matrix Diagrams
Advantages of Matrix Diagrams
 Enable data on ideas based on extensive
experience
 Clarifies relationships among different
elements
 Makes overall structure of problem
immediately obvious
 Combined from two to four types of diagrams,
location of problem is clearer.
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8. New Seven Q.C. Tools
Matrix Diagrams
Constructing a Matrix Diagram
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 Write final-level means from Tree diagram
forming vertical axis
 Write in Evaluation categories (efficacy,
practicability, and rank) on horizontal axis.
 Write names along horizontal axis
 Examine final-level means to identify whom
will implement them

9. New Seven Q.C. Tools
Matrix Diagrams
Constructing a Matrix Diagram (cont.)
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 Label group of columns as “Responsibilities”
 Label right-hand end of horizontal axis as
“Remarks”
 Examine each cell and insert the
appropriate symbol:
Efficacy: O=good, =satisfactory, X=none
Practicability: O=good,=satisfactory, X=none

10. New Seven Q.C. Tools
Matrix Diagrams
Constructing a Matrix Diagram (cont.)
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 Fill out remarks column and record
meanings of symbol
Next, complete the diagram
 Examine cells under Responsibility
Columns, insert double-circle for Principal
and single-circle for Subsidiary
 Determine score for each combination of
symbols, record in rank column

11. New Seven Q.C. Tools
Arrow Diagrams
For Working Out Optimal Schedules and
Controlling Them Effectively
 Shows relationships among tasks needed to
implement a plan
 Network technique using nodes for events
and arrows for activities
 Used in PERT (Program Evaluation and Review
Technique) and CPM (Critical Path Method)
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12. New Seven Q.C. Tools
Arrow Diagrams
Advantages of Arrow Diagrams
 Allows overall task to viewed and potential
snags to be identified before work starts
 Leads to discovery of possible improvements
 Makes it easy to monitor progress of work
 Deals promptly with changes to plan
 Improves communication among team
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13. New Seven Q.C. Tools
Arrow Diagrams
Constructing an Arrow Diagram
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 From strategies on Tree diagram, select one
(Objective of Arrow Diagram)
 Identify constraints to Objective
 Write all essential activities on separate
cards
 List all activities necessary to achieving
Objective

14. New Seven Q.C. Tools
Arrow Diagrams
Constructing an Arrow Diagram (cont.)
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 Organize cards in sequential order of
activities
 Remove any duplicate activities
 Review order of activities, find sequence
with greatest amount of activities
 Arrange parallel activities

15. New Seven Q.C. Tools
Arrow Diagrams
Constructing an Arrow Diagram (cont.)
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 Record names and other necessary
information
Next, complete the diagram
 Examine path, number nodes in sequence
from left to right