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Chapter 5
Normalization of Database Tables
Database Tables and
Normalization
 Normalization is a process for assigning attributes to
entities. It reduces data redundancies and helps
eliminate the data anomalies.
 Normalization works through a series of stages called
normal forms:
– First normal form (1NF)
– Second normal form (2NF)
– Third normal form (3NF)
– Fourth normal form (4NF)
 The highest level of normalization is not always
desirable.
Database Tables and Normalization
 The Need for Normalization
– Case of a Construction Company
 Building project -- Project number, Name, Employees
assigned to the project.
 Employee -- Employee number, Name, Job
classification
 The company charges its clients by billing the hours
spent on each project. The hourly billing rate is
dependent on the employee’s position.
 Periodically, a report is generated.
 The table whose contents correspond to the reporting
requirements is shown in Table 5.1.
Scenario
A few employees works for
one project.
Project Num : 15
Project Name :
Evergreen
Employee Num :
101, 102, 103,
105
Sample Form
Project Num :
15
Project Name : Evergreen
Emp Num Emp
Name
Job Class Chr Hours Hrs Billed Total
101
102
103
105
Table Structure Matches
the Report Format
 Problems with the Figure 5.1
– The project number is intended to be a primary key, but it
contains nulls.
– The table displays data redundancies.
– The table entries invite data inconsistencies.
– The data redundancies yield the following anomalies:
 Update anomalies.
 Addition anomalies.
 Deletion anomalies.
Database Tables and Normalization
 Conversion to First Normal Form
– A relational table must not contain repeating groups.
– Repeating groups can be eliminated by adding the
appropriate entry in at least the primary key
column(s).
Database Tables and Normalization
Data Organization: First Normal Form
Before
After
 1NF Definition
– The term first normal form (1NF) describes the
tabular format in which:
All the key attributes are defined.
There are no repeating groups in the table.
All attributes are dependent on the primary
key.
First Normal Form (1 NF)
 Dependency Diagram
– The primary key components are bold, underlined, and
shaded in a different color.
– The arrows above entities indicate all desirable
dependencies, i.e., dependencies that are based on PK.
– The arrows below the dependency diagram indicate less
desirable dependencies -- partial dependencies and transitive
dependencies.
Dependency Diagram
 Conversion to Second Normal Form
– Starting with the 1NF format, the database can be
converted into the 2NF format by
 Writing each key component on a separate line, and
then writing the original key on the last line and
 Writing the dependent attributes after each new key.
PROJECT (PROJ_NUM, PROJ_NAME)
EMPLOYEE (EMP_NUM, EMP_NAME, JOB_CLASS, CHG_HOUR)
ASSIGN (PROJ_NUM, EMP_NUM, HOURS)
Second Normal Form (2 NF)
Dependency Diagram
A table is in 2NF if:
 It is in 1NF and
 It includes no partial dependencies; that is, no
attribute is dependent on only a portion of the
primary key.
(It is still possible for a table in 2NF to exhibit
transitive dependency; that is, one or more
attributes may be functionally dependent on
nonkey attributes.)
Second Normal Form (2 NF)
 Conversion to Third Normal Form
– Create a separate table with attributes in a transitive
functional dependence relationship.
PROJECT (PROJ_NUM, PROJ_NAME)
ASSIGN (PROJ_NUM, EMP_NUM, HOURS)
EMPLOYEE (EMP_NUM, EMP_NAME, JOB_CLASS)
JOB (JOB_CLASS, CHG_HOUR)
Third Normal Form (3 NF)
 3NF Definition
– A table is in 3NF if:
It is in 2NF and
It contains no transitive dependencies.
Third Normal Form (3 NF)
The
Completed
Database
– A table is in Boyce-Codd normal form (BCNF) if every
determinant in the table is a candidate key.
(A determinant is any attribute whose value
determines other values with a row.)
– If a table contains only one candidate key, the 3NF
and the BCNF are equivalent.
– BCNF is a special case of 3NF.
– Figure 5.7 illustrates a table that is in 3NF but not in
BCNF.
– Figure 5.8 shows how the table can be decomposed
to conform to the BCNF form.
Boyce-Codd Normal Form
(BCNF)
A Table That Is In 3NF
But Not In BCNF
The Decomposition of a Table Structure
to Meet BCNF Requirements
Sample Data for a BCNF Conversion
Decomposition into BCNF
 BCNF Definition
– A table is in BCNF if every determinant in that
table is a candidate key. If a table contains only
one candidate key, 3NF and BCNF are equivalent.
BCNF Definition
– Normalization will help us identify correct
and appropriate TABLES.
– Until Now we have 4 tables
Normalization
PROJECT (PROJ_NUM, PROJ_NAME)
ASSIGN (PROJ_NUM, EMP_NUM, HOURS)
EMPLOYEE (EMP_NUM, EMP_NAME, JOB_CLASS)
JOB (JOB_CLASS, CHG_HOUR)
– We are going to identify the relationships
between entities (tables) including their
cardinality, connectivity.
– We have to list out the Business Rules.
NEXT ........
PROJECT (PROJ_NUM, PROJ_NAME)
ASSIGN (PROJ_NUM, EMP_NUM, HOURS)
EMPLOYEE (EMP_NUM, EMP_NAME, JOB_CLASS)
JOB (JOB_CLASS, CHG_HOUR)
Business Rules
 The company manages many projects.
 Each project requires the services of many
employees.
 An employee may be assigned to several different
projects.
 Some employees are not assigned to a project and
perform duties not specifically related to a project.
Some employees are part of a labor pool, to be
shared by all project teams.
 Each employee has a (single) primary job
classification. This job classification determines the
hourly billing rate.
 Many employees can have the same job
classification.
 Two Initial Entities:
PROJECT (PROJ_NUM, PROJ_NAME)
EMPLOYEE (EMP_NUM, EMP_LNAME, EMP_FNAME,
EMP_INITIAL, JOB_DESCRIPTION, JOB_CHG_HOUR)
Normalization and Database
Design
Three Entities After Transitive Dependency Removed
PROJECT (PROJ_NUM, PROJ_NAME)
EMPLOYEE (EMP_NUM, EMP_LNAME, EMP_FNAME, EMP_INITIAL,
JOB_CODE)
JOB (JOB_CODE, JOB_DESCRIPTION, JOB_CHG_HOUR)
Normalization and Database
Design
The Modified ERD
Creation of Composite Entity ASSIGN
 Attribute ASSIGN_HOUR is assigned to the composite entity
ASSIGN.
 “Manages” relationship is created between EMPLOYEE and
PROJECT.
PROJECT (PROJ_NUM, PROJ_NAME, EMP_NUM)
EMPLOYEE (EMP_NUM, EMP_LNAME, EMP_FNAME,
EMP_INITIAL,
EMP_HIREDATE, JOB_CODE)
JOB (JOB_CODE, JOB_DESCRIPTION, JOB_CHG_HOUR)
ASSIGN (ASSIGN_NUM, ASSIGN_DATE, PROJ_NUM,
EMP_NUM,
ASSIGN_HOURS)
Normalization and Database
Design
Relational Schema
Higher-Level Normal Forms
 4NF Definition
– A table is in 4NF if it is in 3NF and has no multiple
sets of multivalued dependencies.
A Set of Tables in 4NF
Denormalization
 Normalization is only one of many database design
goals.
 Normalized (decomposed) tables require additional
processing, reducing system speed.
 Normalization purity is often difficult to sustain in
the modern database environment. The conflict
between design efficiency, information
requirements, and processing speed are often
resolved through compromises that include
denormalization.
SUMMARY
The Initial 1NF Structure
Identifying the Possible PK Attributes
Table Structures Based On
The Selected PKs

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Normalization case

  • 1. Chapter 5 Normalization of Database Tables
  • 2. Database Tables and Normalization  Normalization is a process for assigning attributes to entities. It reduces data redundancies and helps eliminate the data anomalies.  Normalization works through a series of stages called normal forms: – First normal form (1NF) – Second normal form (2NF) – Third normal form (3NF) – Fourth normal form (4NF)  The highest level of normalization is not always desirable.
  • 3. Database Tables and Normalization  The Need for Normalization – Case of a Construction Company  Building project -- Project number, Name, Employees assigned to the project.  Employee -- Employee number, Name, Job classification  The company charges its clients by billing the hours spent on each project. The hourly billing rate is dependent on the employee’s position.  Periodically, a report is generated.  The table whose contents correspond to the reporting requirements is shown in Table 5.1.
  • 4. Scenario A few employees works for one project. Project Num : 15 Project Name : Evergreen Employee Num : 101, 102, 103, 105
  • 5. Sample Form Project Num : 15 Project Name : Evergreen Emp Num Emp Name Job Class Chr Hours Hrs Billed Total 101 102 103 105
  • 6.
  • 8.  Problems with the Figure 5.1 – The project number is intended to be a primary key, but it contains nulls. – The table displays data redundancies. – The table entries invite data inconsistencies. – The data redundancies yield the following anomalies:  Update anomalies.  Addition anomalies.  Deletion anomalies. Database Tables and Normalization
  • 9.  Conversion to First Normal Form – A relational table must not contain repeating groups. – Repeating groups can be eliminated by adding the appropriate entry in at least the primary key column(s). Database Tables and Normalization
  • 10. Data Organization: First Normal Form Before After
  • 11.  1NF Definition – The term first normal form (1NF) describes the tabular format in which: All the key attributes are defined. There are no repeating groups in the table. All attributes are dependent on the primary key. First Normal Form (1 NF)
  • 12.  Dependency Diagram – The primary key components are bold, underlined, and shaded in a different color. – The arrows above entities indicate all desirable dependencies, i.e., dependencies that are based on PK. – The arrows below the dependency diagram indicate less desirable dependencies -- partial dependencies and transitive dependencies. Dependency Diagram
  • 13.  Conversion to Second Normal Form – Starting with the 1NF format, the database can be converted into the 2NF format by  Writing each key component on a separate line, and then writing the original key on the last line and  Writing the dependent attributes after each new key. PROJECT (PROJ_NUM, PROJ_NAME) EMPLOYEE (EMP_NUM, EMP_NAME, JOB_CLASS, CHG_HOUR) ASSIGN (PROJ_NUM, EMP_NUM, HOURS) Second Normal Form (2 NF)
  • 15. A table is in 2NF if:  It is in 1NF and  It includes no partial dependencies; that is, no attribute is dependent on only a portion of the primary key. (It is still possible for a table in 2NF to exhibit transitive dependency; that is, one or more attributes may be functionally dependent on nonkey attributes.) Second Normal Form (2 NF)
  • 16.  Conversion to Third Normal Form – Create a separate table with attributes in a transitive functional dependence relationship. PROJECT (PROJ_NUM, PROJ_NAME) ASSIGN (PROJ_NUM, EMP_NUM, HOURS) EMPLOYEE (EMP_NUM, EMP_NAME, JOB_CLASS) JOB (JOB_CLASS, CHG_HOUR) Third Normal Form (3 NF)
  • 17.  3NF Definition – A table is in 3NF if: It is in 2NF and It contains no transitive dependencies. Third Normal Form (3 NF)
  • 19. – A table is in Boyce-Codd normal form (BCNF) if every determinant in the table is a candidate key. (A determinant is any attribute whose value determines other values with a row.) – If a table contains only one candidate key, the 3NF and the BCNF are equivalent. – BCNF is a special case of 3NF. – Figure 5.7 illustrates a table that is in 3NF but not in BCNF. – Figure 5.8 shows how the table can be decomposed to conform to the BCNF form. Boyce-Codd Normal Form (BCNF)
  • 20. A Table That Is In 3NF But Not In BCNF
  • 21. The Decomposition of a Table Structure to Meet BCNF Requirements
  • 22. Sample Data for a BCNF Conversion
  • 24.  BCNF Definition – A table is in BCNF if every determinant in that table is a candidate key. If a table contains only one candidate key, 3NF and BCNF are equivalent. BCNF Definition
  • 25. – Normalization will help us identify correct and appropriate TABLES. – Until Now we have 4 tables Normalization PROJECT (PROJ_NUM, PROJ_NAME) ASSIGN (PROJ_NUM, EMP_NUM, HOURS) EMPLOYEE (EMP_NUM, EMP_NAME, JOB_CLASS) JOB (JOB_CLASS, CHG_HOUR)
  • 26. – We are going to identify the relationships between entities (tables) including their cardinality, connectivity. – We have to list out the Business Rules. NEXT ........ PROJECT (PROJ_NUM, PROJ_NAME) ASSIGN (PROJ_NUM, EMP_NUM, HOURS) EMPLOYEE (EMP_NUM, EMP_NAME, JOB_CLASS) JOB (JOB_CLASS, CHG_HOUR)
  • 27. Business Rules  The company manages many projects.  Each project requires the services of many employees.  An employee may be assigned to several different projects.  Some employees are not assigned to a project and perform duties not specifically related to a project. Some employees are part of a labor pool, to be shared by all project teams.  Each employee has a (single) primary job classification. This job classification determines the hourly billing rate.  Many employees can have the same job classification.
  • 28.  Two Initial Entities: PROJECT (PROJ_NUM, PROJ_NAME) EMPLOYEE (EMP_NUM, EMP_LNAME, EMP_FNAME, EMP_INITIAL, JOB_DESCRIPTION, JOB_CHG_HOUR) Normalization and Database Design
  • 29. Three Entities After Transitive Dependency Removed PROJECT (PROJ_NUM, PROJ_NAME) EMPLOYEE (EMP_NUM, EMP_LNAME, EMP_FNAME, EMP_INITIAL, JOB_CODE) JOB (JOB_CODE, JOB_DESCRIPTION, JOB_CHG_HOUR) Normalization and Database Design
  • 31. Creation of Composite Entity ASSIGN
  • 32.  Attribute ASSIGN_HOUR is assigned to the composite entity ASSIGN.  “Manages” relationship is created between EMPLOYEE and PROJECT. PROJECT (PROJ_NUM, PROJ_NAME, EMP_NUM) EMPLOYEE (EMP_NUM, EMP_LNAME, EMP_FNAME, EMP_INITIAL, EMP_HIREDATE, JOB_CODE) JOB (JOB_CODE, JOB_DESCRIPTION, JOB_CHG_HOUR) ASSIGN (ASSIGN_NUM, ASSIGN_DATE, PROJ_NUM, EMP_NUM, ASSIGN_HOURS) Normalization and Database Design
  • 34. Higher-Level Normal Forms  4NF Definition – A table is in 4NF if it is in 3NF and has no multiple sets of multivalued dependencies.
  • 35. A Set of Tables in 4NF
  • 36. Denormalization  Normalization is only one of many database design goals.  Normalized (decomposed) tables require additional processing, reducing system speed.  Normalization purity is often difficult to sustain in the modern database environment. The conflict between design efficiency, information requirements, and processing speed are often resolved through compromises that include denormalization.
  • 38. The Initial 1NF Structure
  • 39. Identifying the Possible PK Attributes
  • 40. Table Structures Based On The Selected PKs