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Chapter 2 Basic Tools for Improving Quality. 7 Basic Tools by Ishikawa. Histogram Pareto chart Scatter plot Control chart Cheek sheet Cause-and-effect diagram Defect concentration diagram. 2.1 Histogram.

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7 basic tools by ishikawa
7 Basic Tools by Ishikawa
  • Histogram
  • Pareto chart
  • Scatter plot
  • Control chart
  • Cheek sheet
  • Cause-and-effect diagram
  • Defect concentration diagram
2 1 histogram
2.1 Histogram
  • A histogram is a bar chart that shows the relative frequencies of observations in each of several classes.
  • Rule for determining the number of classes:
    • “Power of 2 rule”: for n observations, we would use a classes, where 2a-1 < n < 2a
    • Roundup a = lnn / ln 2 (=ROUNDUP(LN(100)/LN(2), 0)
    • a ~
2 2 pareto charts
2.2 Pareto Charts
  • A Pareto chart is a bar graph that shows the relative frequencies of observations in a descending order.
    • draws its name from an Italian economist, VilfredoPareto (1848–1923)
    • J. M. Juran is credited with being the first person to apply it to industrial problems
2 3 scatter plots
2.3 Scatter Plots
  • A scatter plot is another simple graphical device
  • The simplest type is a bivariate scatter plot, in which two quantities are plotted.
  • Scaling of the two axes is somewhat arbitrary
  • A time sequence plot is a type of scatter plot in that data on one variable are plotted against a second variable, time.
  • A probability plot is another type of scatter plot.
variations of scatter plots
Variations of Scatter Plots
  • Use number or special symbols for duplicated data points.
  • Use “range frames”, instead of scales
2 4 control charts
2.4 Control Charts
  • A control chart is a time sequence plot with “decision lines” added.
  • These decision lines are used to try to determine whether or not a process is in control.
    • Type I and II errors
typical control chart
10

9

1

2

3

4

5

6

7

8

Typical Control Chart

Upper

control

limit

2s

1s

Central

Line

95%

99.73%

1s

Lower

control

limit

-1

-3

-2

=0

1

2

3

2s

Sample number

2 5 check sheet
2.5 Check Sheet
  • A check sheet is a means of recording historical data on causes of nonconformities or nonconforming units.
    • The general idea is to record all pertinent information relative to nonconformities and nonconforming units, so that the sheets can facilitate process improvement.
    • Such information might include notes on raw materials, machine performance, or operator changes.
2 6 cause and effect diagram
2.6 Cause-and-Effect Diagram
  • The cause-and-effect diagram was introduced in Japan in 1943 by Professor Kaoru Ishikawa of the University of Tokyo.
    • For that reason it is sometimes called an Ishikawa diagram; it has also been called a fishbone chart.
2 7 defect concentration diagram
2.7 Defect Concentration Diagram
  • It is simply a schematic diagram that shows the various sides of a unit of production, with the positions where nonconformities occur pinpointed.
2 8 the 7 newer tools
2.8 The 7 Newer Tools
  • Affinity Diagram
  • Interrelationship Digraph
  • Tree Diagram
  • Prioritization Matrix
  • Matrix Diagram
  • Process Decision Program Chart
  • Activity Network Diagram
2 8 1 af nity diagram
2.8.1 Affinity Diagram
  • An affinity diagram is a set of ideas about a particular topic that are grouped into clusters.
  • The diagram is the end product of brainstorming that is performed in a prescribed manner.
2 8 2 interrelationship digraph
2.8.2 Interrelationship Digraph
  • An interrelationship digraph is used for identifying and exploring causal relationships between related ideas.
  • This is a step beyond an affinity diagram, as an interrelationship digraph is a figure with arrows indicating relationships between ideas.
2 8 3 tree diagram
2.8.3 Tree Diagram
  • A tree diagram is somewhat similar to a cause-and-effect diagram in that a desired effect (e.g., reducing delivery delays) can be shown pictorially as related to the factors that can lead to the effect.
  • A tree diagram will generally more closely resemble a company organizational chart in appearance than a cause-and-effect diagram.
  • A tree diagram is a more structured display than either an affinity diagram or an interrelationship digraph.
2 8 4 prioritization matrix
2.8.4 Prioritization Matrix
  • A prioritization matrix is a relative ranking of issues jobs, objectives, products, and so on.
  • The ranking is accomplished by comparing the components pairwise so that a logical and consistent ranking results.
2 8 5 matrix diagram
2.8.5 Matrix Diagram
  • A matrix diagram is used for showing relationships between two or more sets of ideas, projects, and so on.
  • The matrix can have one of several different forms.
  • At least five forms have been used:
    • C-shaped
    • L-shaped
    • T-shaped
    • X-shaped, and
    • Y-shaped
2 8 6 process decision program chart
2.8.6 Process Decision Program Chart
  • A process decision program chart is a listing of undesirable events and corresponding contingency actions relative to planned actions.
  • It is used when there is considerable concern about the possibility of negative unanticipated outcomes.
2 8 7 activity network diagram
2.8.7 Activity Network Diagram
  • This is essentially a combination of two well-known techniques: PERT (Program Evaluation and Review) and CPM (Critical Path Method).
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