mod 5 04 graphical analysis april 02
TRANSCRIPT
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Check status of request Dealer number incorrectParts not received
Change address Wrong addressName misspelled
Statement error Change addressCheck balance
Car never received Error on invoiceParts not received
Car not received Error on invoiceCheck status of request
Check status of request Check status of requestParts not received
Statement error Wrong addressParts not received
Statement error Error on invoiceParts not received
The following data is collected when customers
contact customer service
Where should you focus your improvement efforts?
Characterization ToolsGraphical Analysis
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Pareto Chart
A bar chart for non-numerical categor ies which has its bars
in decreasing height from left to r ight
Now the question is easier to answer!
40 22 19 12 5
40.8 22.4 19.4 12.2 5.1
40.8 63.3 82.7 94.9 100.0
0
10
20
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40
50
60
70
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90
100
0
20
40
60
80
100
Defect
CountPercent
Cum %
Percent
Cou
nt
Cumulative
line
Characterization ToolsGraphical Analysis
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Why Use It ?
To focus efforts on the problems that offer the greatest potential
for improvement by showing their relative frequency or size in a
descending bar graph
What Does It Do?
Helps a team to focus on those causes that will have the
greatest impact if solved
Based on the proven Pareto principle: 20% of the sources cause80% of any problem
Displays the relative importance of problems in simple, quickly
interpreted format
Progress is measured in a highly visible format that provides
incentive to push on for more improvement
Pareto Chart
Characterization ToolsGraphical Analysis
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5.31 3.84 3.36 3.33
5.57 4.16 5.39 4.27
2.70 2.80 3.46 3.31
2.91 3.09 5.84 4.12
3.06 4.64 3.38 4.671.59 5.51 3.39 4.78
6.20 4.14 3.97 3.87
4.68 4.89 3.83 3.86
5.87 3.05 4.27 2.55
2.06 3.33 4.35 2.97
Histogram
The following data represents measurements for a CTQ with upper
and lower specification limits of 2 and 6 respectively. How are you
doing at meeting your customers expectations?
Characterization ToolsGraphical Analysis
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Now the question is easier to answer!
Histogram
A Histogram is
A bar chart for num erical classes and its bars need not be
in descending ord er
1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0
0
1
2
3
4
5
6
7
8
C1
Frequ
ency
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Histogram
What Does It Do?
Shows the relative frequency of occurrence of the various data
values
Reveals the centering, variation, and shape of the data
Provides useful information for predicting future performance of the
process
Helps to indicate if there has been a change in the processHelps answer the question, Is the process capable of meeting my
customer requirements?
Displays large amounts of data that are difficult to interpret in
tabular form
Characterization ToolsGraphical Analysis
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Histogram
Why Use It?
To summarize data from a process that has been collected over a
period of time, and graphically present its frequency distribution in abar form
To give a quick estimate of the process center, spread, and shape
Characterization ToolsGraphical Analysis
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Run Chart
The following data is
collected from a
critical process step.
How is the process
performing? Hasthere been a shift in
the process with
time?
Time % Defective Accounts
1 0.04
2 0.038
3 0.037
4 0.041
5 0.039
6 0.0427 0.041
8 0.043
9 0.042
10 0.044
11 0.039
12 0.045
13 0.04414 0.043
15 0.046
16 0.04
17 0.047
18 0.042
19 0.046
Characterization ToolsGraphical Analysis
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Run Chart
A time ser ies plot is a chart that shows trends in data over t ime
Now the question is easier to answer!
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
0.037
0.042
0.047
Hour
%DefectiveAccounts
Characterization ToolsGraphical Analysis
Used as a
primarymetric chart
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Run Chart
Why Use It ?
To allow a team to study observed data (a performance measure of
a process) for trends or patterns over a specified period of time
What Does It Do?
Monitors the performance of one or more processes over time todetect trends or patterns over a specified period of time
Allows a team to compare a performance measure before and after
implementation of a solution to measure its impact Tracks useful information for predicting trends
Characterization ToolsGraphical Analysis
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Scatter Plot
Is there a relationship
between cycle time in days
and % defective
addresses? If so, how
strong is this relationship?
108 4.7%
102 4.5%
72 3.6%
68 3.6%
63 3.6%
61 3.6%60 3.8%
60 2.7%
59 3.3%
53 2.6%
47 2.5%
42 1.4%
40 2.2%
36 1.3%36 2.1%
34 1.7%
31 0.5%
31 1.4%
27 1.2%
25 1.3%
25 1.3%
% Defective
Addresses
Cycle Time
in days
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Correlation AnalysisCycle Time and % Defective Addresses
0.0%
0.5%
1.0%
1.5%
2.0%
2.5%
3.0%
3.5%
4.0%
4.5%
5.0%
0 20 40 60 80 100 120
Cycle Time in days - (list pull to mail drop)
%DefectiveA
ddresses
Scatter Plot
A standard plot or sc atter diagram show s a relations hip between 2 var iables
Now the question is easier to answer!
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Scatter Plot
Why Use It ?
Produces a scatter plot that shows the relationship between two
variables graphically
Y DATA
X DATA
Characterization ToolsGraphical Analysis
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Correlation vs. Causality Beware Just because two variables are correlated does not mean
that one variable causes the other
A plot of the population of Oldenburg at the end of each yearagainst the number of storks in that year, 1930-1936 Statistics
for Experimenters by Box, Hunter and Hunter
55 65 75
150
200
250
Population (in thousands)
NumberofStorks
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Customer Rep
111111111
122222222
22
# of accounts
181720191518191720
162019181518181410
1720
Customer Rep
333333333
344444444
44
# of accounts
182019191416171919
171417201619141716
2216
BoxplotThe following data represents customer service representatives
and the number of new accounts opened by them per day for 10
days. Do the customer service representatives yield the same
results?
Characterization ToolsGraphical Analysis
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Head Number
OAL
Boxplot
A Boxplot depic ts measures of the dis tr ibut ion that al low com par ison
of var ious dis tr ibut ions
Now the question is easier to answer!
* Outlier
75th Percentile
Minimum Observation
Maximum Observation
25th Percentile
Median (50th Percentile)
Characterization ToolsGraphical Analysis
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Boxplot
Why Use It?
To give you a graphical summary of values and help you
identify extreme values
What Does It Do?
Represents roughly the middle 50% of the data in the rectangular
box
Represents the general extent of the data via lines or whiskersextending from either side
Marks outliers (observations far from the rest of the data)
Characterization ToolsGraphical Analysis