false

Class Notes
(839,313)

Canada
(511,260)

Ryerson University
(29,048)

Quantitative Methods
(261)

QMS 102
(186)

Lecture

School

Ryerson University
Department

Quantitative Methods

Course Code

QMS 102

Professor

Jason Chin- Tiong Chan

Description

Business StatisticsI-QMS102 Chapter9
Chapter9
Statistical Applications in Quality and Productivity
Managements
Outcomes:
1. Discuss the theory of Control Chart
2. Construct various control chart
3. Determine the X-bar and R chart control limits
Total Quality Management (TQM)
1. An approach that focuses on continuous improvement of products and
services through an increased emphasis on statistics, process improvement
and optimization of the total system.
2. TQM is characterized by the following themes:
a. the primary focus is on process improvement
b. most of the variation in a process is due to the system and not the
individual
c. teamwork is an integral part of a quality management organization.
d. Customer satisfaction is a primary organization.
e. Organizational transformation must occur in order to implement quality
management.
f. Fear must be removed from organizations.
g. Higher quality costs less not more, but requires an investment in training.
Six Sigma Management
1. a quality improvement system.
The Theory of Control Charts
1. Both TQM and Six Sigma Management use the control chart to analyze
process data collected sequentially over time.
2. The control chart monitors variation in a characteristic of a product or service
over time.
Constructing Control Limits
Process mean ± 3 standard deviation
So that
Upper control limit(UCL) = Process mean + 3 standard deviation
Lower control limit(LCL) = Process mean - 3 standard deviation
Fall2012 Page#1 Business StatisticsI-QMS102 Chapter9
The Control chart for the range (R chart)
Control Limits for the Range
d3
R ±3R
d2
d d
UCL = R +3R 3 LCL = R −3R 3
d2 d2
k
R
where ∑i=1 i ,
R =
k
d2factor = the relationship between the standard deviation and the range for
varying sample sizes
d 3factor = the relationship between the standard deviation and the standard
error of the range for varying sample sizes
Calculating Control Limits for The Range
UCL = D R4 LCL = D 3
where D 3actor =1−3(d /3 ) 2 , D 4actor =1+3(d /d3) 2
The Control Chart for the X
Control Limits for the X Chart
R
X ±3
d 2 n
R R
UCL = X +3 LCL = X −3
d2 n d2 n
k k
X R
Where ∑ i ∑ i
X = i=1 R = i=1
k k
X = sample mean of n observations at time i
i
R i range of n observations at time i
k = number of subgroups
Calculating Control limits for the Mean using The A2 factor
UCL = X + A R2 LCL = X − A 2
where A factor = 3/d n
2 2
Fall2012 Page#2 Business StatisticsI-QMS102 Chapter9
Fall2012 Page#3 Control Chart Factors
Business StatisticsI-QMS102s Chapter9
In Sample d 2 d3 D3 D 4 A 2
2 1.12 0.85 0 3.26 1.880
8 3 7
3 1.69 0.88 0 2.57 1.023
3 8 5
4 2.05 0.88 0 2.28 0.729
9 0 2
5 2.32 0.86 0 2.11 0.577
6 4 4
6 2.53 0.84 0 2.00 0.483
4 8 4
7 2.70 0.83 0.07 1.92 0.419
4 3 6 4
8 2.84 0.82 0.13 1.86 0.373
7 0 6 4
9

More
Less
Unlock Document

Related notes for QMS 102

Only pages 1,2,3 are available for preview. Some parts have been intentionally blurred.

Unlock DocumentJoin OneClass

Access over 10 million pages of study

documents for 1.3 million courses.

Sign up

Join to view

Continue

Continue
OR

By registering, I agree to the
Terms
and
Privacy Policies

Already have an account?
Log in

Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.