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Module 3:
Quality Assurance Tools
Learning Objectives
  • Learn the theory and method of use of the
  seven tools of quality needed in process
  analysis and problem-solving techniques

  • Seven tools of quality
     • Pareto charts
     • Flow charts
     • Cause-and-effect diagram
     • Check sheet
     • Histograms
     • Control charts
     • Scatter diagrams
Pareto Chart

• Method of prioritizing problems or causes
 by frequency of occurrence or cost

• Based in the 80-20 rule:
   • 80% of the problem is caused by 20% of the
     sources
   • “Vital few” and “trivial many”

• Depicted by a vertical bar graph arranged from
 left to right descending order
Advantages of a Pareto Chart

• Focuses efforts on problems with greatest
  potential for improvement

• Distinguishes the critical causes from the less
  significant causes

• Helps prevent “shifting the problem” where the
  solution removes some causes but worsens
  others
Advantages of a Pareto Chart (cont.)
• Measure the impact of improvement projects
 when comparing charts “before” and “after”


• The chart shows the relative importance of
  problems in a simple, quickly interpreted,
  visual format.


• Progress is measured in a highly visible format
  that provides incentive to push on for more
  improvement.
Steps to Build a Pareto Chart

• Identify problem
• Choose categories that will be monitored
• Choose the most meaningful unit of measurement
   • Frequency
   • Cost
• Determine time period
   • Long enough to represent situation
   • Scheduled time to collect data is typical of a workday
Steps to Build a Pareto Chart (cont.)


 • Collect data

 • Compare the frequency of each category

 • Draw chart:

    • List the categories on the horizontal line
       • Descending order, from left to right

    • Frequencies on the vertical line
Steps to Build a Pareto Chart (cont.)

 • Draw the cumulative percentage line showing
  categories contribution
    • Optional
    • Draw vertical line on the right side of the chart
    • Plot cumulative values from left to right
 • Interpret results
    • Tallest bar represents biggest contributor
    • Perform analysis of category that has the “most
     impact”
Cum %
  Example of a Pareto Chart                                                                  100 %
                                                                        97%
                                                           91%

                                             79%




                             61%
Frequency

 30                                                                                          50 %


             35%
 20

        24
 10                  18
                                     12
                                                       8
                                                                    4              2
  0
       Late         Wrong          Missing         Dam aged       Wrong       Not received
      delivery     product          parts          container     address

                             Delivery complains
Further analysis using Pareto charts

• Major cause breakdown:
   • Tallest bar is broken down into sub-causes

   30


   20

            24
   10                      18
                                         12
                                                            8
                                                                               4                2
    0
        Late delivery Wrong product Missing parts       Dam aged            Wrong         Not received
                                                        container          address




                                              8



                                              6



                                              4
                                                        8
                                                                          6               4                4
                                              2
                                                                                                                             2
                                              0
                                                  Missing address   Driver mistake       Late         Transportation   Administrative
                                                                                     documentation      problems          delays

                                                                                      Late delivery
Further analysis using Pareto charts

•Before and after:
   • New Pareto bars are drawn side-by-side
    with the original Pareto showing effect of change
     25

            24
     20
                        18
     15

                                    12
     10
                 10                      10
                             8                   8
      5
                                                     4     4
                                                                 3     2   1
      0
           Late        Wrong      Missing     Dam aged Wrong            Not
          delivery    product      parts      container address      received


                         Before                          After
Further analysis using Pareto charts
            •Change measurement scale:
               • Same categories are used but measured
                    differently. Typically cost and frequency.
                  • This exercise defines the category of “most impact”.

                                                                       $3,000
30
                                                                       $2,500
25
                                                                       $2,000
20
                                                                       $1,500
15                                                                                   $ 2 , 50 0
       24
                                                                       $1,000                      $1, 8 50
10                 18
                                                                                                                 $ 1, 2 0 0
                             12                                            $500
5                                         8
                                                                                                                                      $8 0 0
                                                    4                                                                                           $2 2 0        $2 0 0
                                                                 2           $0
0
      Late        Wrong    Missing    Dam aged     Wrong    Not received          Wrong product Not received Missing parts            Wrong    Damaged     Late delivery
     delivery    product    parts     container   address                                                                            address   container

                            Delivery com plains                                                                               Cost/month
Flow Charts
• Pictorial representation of the steps and decision
 points in a process.

• Flow charts are used to identify the actual path
  of a product or service.

• Flow charts show:
    • Sequential work activities
   • Inputs for each action
   • Outputs from each activity
Advantages of a Flow Chart

• Provide common understanding of how a
 process works.

• Identifies problem areas, unexpected complexity,
  redundancies, and areas of potential improvement

• Serves as a training aid

• Provides basis for documentation.

• Identifies location where additional data can be
  collected and investigated
Symbols of a Flow Chart

          Shows an activity performed in the process



          Shows a point in the process where a Yes/No
          question is being asked or a decision is required


          Identifies a break in the flow chart and is continued
    A     elsewhere on the same page or another page


          Shows the flow of the process

          Shows the beginning and end process
Steps to Build a Flow Chart


 • List the basic steps of the process.
 • Determine the logical sequence of the steps.
 • Identify the inputs of each step.
 • Determine the outputs of each step.
 • Draw the chart using the symbols to show the
   actions and decisions.
Example of a Flow Chart

Team is given task
to write procedure     Review
                        draft




                                    yes   Complete   Send to
     Develop            Draft
                                            Final    Release
      outline         approved
                                           version    Dept.


                            No



    Complete         Revise Draft                     Release
      draft          with changes                    procedure
Cause and Effect Analysis


• Pictorial representation of all possible causes
 contributing to a problem.

• Developed by Dr.Kaoru Ishikawa
   •Also known as “Fishbone” or “Ishikawa” diagrams
Advantages of a Cause and Effect Diagram

• Clearly illustrates the various causes affecting a
  process:
    • Relationship between these causes
    • Where are they occurring

• Helps in finding the most basic cause of the
  problem

• Motivates team members participation
Steps to Build a Cause and Effect Diagram

• Place problem statement in a box to the right-hand
 side of the paper.

• Select the major cause or categories and place them
 to the left of the problem statement.
   • 4 M’s (Production process):
       • Materials
      • Manpower
      • Machinery/equipment
      • Method
   • 4 P’s (Service process):
       • Policies
       • Procedures
       • People
       • Plant / equipment
Steps to Build a Cause and Effect Diagram
(cont.)


• Draw a box around each category and connect
  to a line pointing out towards the problem statement.

• Using the brainstorming technique, generate ideas
  of causes, on the major categories.

• Record these ideas on a line off the applicable
  major category line.
Steps to Build a Cause and Effect Diagram
(cont.)

 • For each cause listed on the diagram, ask “why
  does this happen?”.
 • For each response, ask the same question.
 • Each successive answer is another possible cause
 • Look for causes that repeat across major cause
  categories.
 • Ensure all team members agree on the problem
  and causes statements.
Example of a Cause and Effect Diagram

              Machinery/equipment                          Manpower

                                                                       Drivers don’t
                                 Unreliable trucks                     Show up
                                               Drivers get lost
     Not enough trucks
                                               Wrong address
    Not capacity for                           on shipper
    peak periods
                                          Database Input error
                                                                                       Late deliveries

              Poor dispatching                       Run out of
                                                     products

           Poor handling of               Poor planning
           large orders
                                        Lack of
Lack of                                 training
training
                      Method                                Material
Check Sheets

• Tool used to record and compile frequency of
 observations as they occur


• Used for Pareto charts and histograms


• Design varies depending on information needed
Advantages of a Check Sheet
• Patterns of information are clearly detected
 and shown

• Easy-to-understand data from a simple process

• Based on facts, not opinions

• Forces agreement on the definition of each
 condition
Steps to Build a Check Sheet

• Agree on the definition of the events or conditions
  to observe.

• Decide who will collect the data.

• Determine the time period.

• Design a check sheet form that is clear and
  easy to use.
   • Define Source of information.
   • Determine Content of information.

• Collect data consistently and accurately.
Example of a Check Sheet



     Project: Defects on fastener installation            Performed by:   John Doe
   Location: Cost Center 727                                   Reason:    Defect reduction
Time period: W/E 4/23/04

    Type of defects          4/19           4/20   4/21        4/22          4/23            Total

Gapped fasteners               15           15     12          10            14               66

Missing fasteners              3             0      0           1             1                5

Damaged fasteners              8             3     12           8             4               35

Defective fasteners            12            3      5           3             6               29

                Total          38           21     29          22            25              135
Histograms

• Graphical representations of the frequency
  distribution of data in bar form.

• Summarizes data from a process that has been
  collected over a period of time

• Provide a quick representation of the “spread”
  and “centering” of a process
• Histogram Defined
  – A histogram is a bar graph that shows
    frequency data.
  – Histograms provide the easiest way to evaluate
    the distribution of data.
Advantages of a Histogram

• Display large amounts of data that are difficult
  to interpret in a tabular form

• Show the relative frequency of occurrences of the
  various data values

• Reveal the variation, centering, and distribution
  shape of the data

• Very useful when calculating capability of a process

• Helps predict future performance of a process
Steps to Build a Histogram

  • Collect data for analysis.
     • At least 50 to 100 data points
     • Use historical data to find patterns or to use as
       a baseline for past performance

  • Determine the range of the data set.
     • Smallest value subtracted from largest value

  • Determine quantity of categories.
     • Take the square root of total number of data
       points and round to nearest whole number
Steps to Build a Histogram (cont.)

  • Determine each category’s data point.
     • Mid-point of each category


  • Plot data on a vertical bar-graph.
     • Frequency on Y-axis
     • Categories on X-axis
     • For each class interval, draw bar with the
      the height equal to frequency count
Example of a Histogram
                               Class
              Category                   Mid-point Frequency
                            boundary
                     1     10.00 - 10.19   10.1        1
                     2     10.20 - 10.39   10.3        6
                     3     10.40 - 10.59   10.5        12
                     4     10.60 - 10.79   10.7        8
                     5     10.80 - 10.99   10.9        6
                     6      11.00- 11.19   11.1        3

      14

      12

      10

      8

      6                              12

      4                                        8
                           6                              6
      2
                                                                  3
             1
      0
           10.00 -       10.20 -   10.40 -   10.60 -   10.80 -   11.00-
            10.19         10.39     10.59     10.79     10.99    11.19
Control Charts

• Line graph of measurements of a process overtime
  that has statistically based control limits placed on it

• Process control charts monitor and display variations
  in a process output.

• Control limits are based on process variation
   • Define expected variation range due to common causes
   • +/- three standard deviations from centerline

• Centerline represents the average of all
  measurements used
Types of Control Charts

 • Two primary types are:
    • Control charts for variables:
        • Most used: X –R
            • X is average values
            • R is range
        • Others: Run charts, moving range charts (MX –MR charts)


    • Control charts for attributes:
        • p chart: fraction defective
        • np chart: number of defectives
        • c chart: number of defects
Advantages of Control Charts

• Focuses attention on detecting and monitoring
  process variation over time

• Distinguishes “special” from “common” causes

• Helps predict performance of a process

• Helps improve a process to perform consistently

• Provides a common language to discuss process
  behavior
Steps to Build a Control Chart

   • Select the process to be charted.
   • Determine type of chart.
   • Determine sampling method and plan.
   • Initiate data collection.
   • Calculate control limits and centerline.
   • Build the control chart.
   • Plot data.
   • Interpret results.
Example of a Control Chart      Point out-of-control
                             (out of the control limits boundaries)



           Data plot
                                                              Upper control limit



                                                                 3 std.deviations


                                                                       Centerline

                                                                 3 std.deviations




                                                        Lower control limit
Scatter Diagrams

• Chart used to identify the possible relationship
  between two process characteristics

• Advantages of the scatter diagram

   • Provides visual and statistical means to test the
     strength of a potential relationship

   • Provides a good follow-up to the cause and effect
     diagram to find out if there is a connection between
     the cause and the effect
Steps to Build a Scatter Diagram

• Collect 50 – 100 paired samples of data.
• Construct a data sheet.
• Draw the Y-axis and the X-axis of the diagram.
• Plot the data on the diagram.
Example of a Scatter Diagram
   Variable 2




                 Variable 1
Summary

• The seven tools of quality discussed in this module
 are considered to make up the fundamental
 continuous improvement toolkit.


• It is the intent of this course to touch basis on these
 tools and not to study them in depth.


• Depth analysis of these theories is considered subject
 for another course.
RUN CHARTS
• Run Charts Defined
  – Run charts are used to
    analyze processes
    according to time or
    order.
RUN CHARTS
• Creating a Run Chart
   – Gathering Data
       • Some type of process or operation must be available to take
         measurements for analysis.
   – Organizing Data
       • Data must be divided into two sets of values X and Y. X values represent
         time and values of Y represent the measurements taken from the
         manufacturing process or operation.
   – Charting Data
       • Plot the Y values versus the X values.
   – Interpreting Data
       • Interpret the data and draw any conclusions that will be beneficial to the
         process or operation.
RUN CHART
• An Example of Using a
  Run Chart
   – An organization’s desire is
     to have their product arrive
     to their customers on time,
     but they have noticed that it
     doesn’t take the same
     amount of time each day of
     the week. They decided to
     monitor the amount of time
     it takes to deliver their
     product over the next few
     weeks.

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7 quality tools

  • 2. Learning Objectives • Learn the theory and method of use of the seven tools of quality needed in process analysis and problem-solving techniques • Seven tools of quality • Pareto charts • Flow charts • Cause-and-effect diagram • Check sheet • Histograms • Control charts • Scatter diagrams
  • 3. Pareto Chart • Method of prioritizing problems or causes by frequency of occurrence or cost • Based in the 80-20 rule: • 80% of the problem is caused by 20% of the sources • “Vital few” and “trivial many” • Depicted by a vertical bar graph arranged from left to right descending order
  • 4. Advantages of a Pareto Chart • Focuses efforts on problems with greatest potential for improvement • Distinguishes the critical causes from the less significant causes • Helps prevent “shifting the problem” where the solution removes some causes but worsens others
  • 5. Advantages of a Pareto Chart (cont.) • Measure the impact of improvement projects when comparing charts “before” and “after” • The chart shows the relative importance of problems in a simple, quickly interpreted, visual format. • Progress is measured in a highly visible format that provides incentive to push on for more improvement.
  • 6. Steps to Build a Pareto Chart • Identify problem • Choose categories that will be monitored • Choose the most meaningful unit of measurement • Frequency • Cost • Determine time period • Long enough to represent situation • Scheduled time to collect data is typical of a workday
  • 7. Steps to Build a Pareto Chart (cont.) • Collect data • Compare the frequency of each category • Draw chart: • List the categories on the horizontal line • Descending order, from left to right • Frequencies on the vertical line
  • 8. Steps to Build a Pareto Chart (cont.) • Draw the cumulative percentage line showing categories contribution • Optional • Draw vertical line on the right side of the chart • Plot cumulative values from left to right • Interpret results • Tallest bar represents biggest contributor • Perform analysis of category that has the “most impact”
  • 9. Cum % Example of a Pareto Chart 100 % 97% 91% 79% 61% Frequency 30 50 % 35% 20 24 10 18 12 8 4 2 0 Late Wrong Missing Dam aged Wrong Not received delivery product parts container address Delivery complains
  • 10. Further analysis using Pareto charts • Major cause breakdown: • Tallest bar is broken down into sub-causes 30 20 24 10 18 12 8 4 2 0 Late delivery Wrong product Missing parts Dam aged Wrong Not received container address 8 6 4 8 6 4 4 2 2 0 Missing address Driver mistake Late Transportation Administrative documentation problems delays Late delivery
  • 11. Further analysis using Pareto charts •Before and after: • New Pareto bars are drawn side-by-side with the original Pareto showing effect of change 25 24 20 18 15 12 10 10 10 8 8 5 4 4 3 2 1 0 Late Wrong Missing Dam aged Wrong Not delivery product parts container address received Before After
  • 12. Further analysis using Pareto charts •Change measurement scale: • Same categories are used but measured differently. Typically cost and frequency. • This exercise defines the category of “most impact”. $3,000 30 $2,500 25 $2,000 20 $1,500 15 $ 2 , 50 0 24 $1,000 $1, 8 50 10 18 $ 1, 2 0 0 12 $500 5 8 $8 0 0 4 $2 2 0 $2 0 0 2 $0 0 Late Wrong Missing Dam aged Wrong Not received Wrong product Not received Missing parts Wrong Damaged Late delivery delivery product parts container address address container Delivery com plains Cost/month
  • 13. Flow Charts • Pictorial representation of the steps and decision points in a process. • Flow charts are used to identify the actual path of a product or service. • Flow charts show: • Sequential work activities • Inputs for each action • Outputs from each activity
  • 14. Advantages of a Flow Chart • Provide common understanding of how a process works. • Identifies problem areas, unexpected complexity, redundancies, and areas of potential improvement • Serves as a training aid • Provides basis for documentation. • Identifies location where additional data can be collected and investigated
  • 15. Symbols of a Flow Chart Shows an activity performed in the process Shows a point in the process where a Yes/No question is being asked or a decision is required Identifies a break in the flow chart and is continued A elsewhere on the same page or another page Shows the flow of the process Shows the beginning and end process
  • 16. Steps to Build a Flow Chart • List the basic steps of the process. • Determine the logical sequence of the steps. • Identify the inputs of each step. • Determine the outputs of each step. • Draw the chart using the symbols to show the actions and decisions.
  • 17. Example of a Flow Chart Team is given task to write procedure Review draft yes Complete Send to Develop Draft Final Release outline approved version Dept. No Complete Revise Draft Release draft with changes procedure
  • 18.
  • 19. Cause and Effect Analysis • Pictorial representation of all possible causes contributing to a problem. • Developed by Dr.Kaoru Ishikawa •Also known as “Fishbone” or “Ishikawa” diagrams
  • 20. Advantages of a Cause and Effect Diagram • Clearly illustrates the various causes affecting a process: • Relationship between these causes • Where are they occurring • Helps in finding the most basic cause of the problem • Motivates team members participation
  • 21. Steps to Build a Cause and Effect Diagram • Place problem statement in a box to the right-hand side of the paper. • Select the major cause or categories and place them to the left of the problem statement. • 4 M’s (Production process): • Materials • Manpower • Machinery/equipment • Method • 4 P’s (Service process): • Policies • Procedures • People • Plant / equipment
  • 22. Steps to Build a Cause and Effect Diagram (cont.) • Draw a box around each category and connect to a line pointing out towards the problem statement. • Using the brainstorming technique, generate ideas of causes, on the major categories. • Record these ideas on a line off the applicable major category line.
  • 23. Steps to Build a Cause and Effect Diagram (cont.) • For each cause listed on the diagram, ask “why does this happen?”. • For each response, ask the same question. • Each successive answer is another possible cause • Look for causes that repeat across major cause categories. • Ensure all team members agree on the problem and causes statements.
  • 24. Example of a Cause and Effect Diagram Machinery/equipment Manpower Drivers don’t Unreliable trucks Show up Drivers get lost Not enough trucks Wrong address Not capacity for on shipper peak periods Database Input error Late deliveries Poor dispatching Run out of products Poor handling of Poor planning large orders Lack of Lack of training training Method Material
  • 25.
  • 26. Check Sheets • Tool used to record and compile frequency of observations as they occur • Used for Pareto charts and histograms • Design varies depending on information needed
  • 27. Advantages of a Check Sheet • Patterns of information are clearly detected and shown • Easy-to-understand data from a simple process • Based on facts, not opinions • Forces agreement on the definition of each condition
  • 28. Steps to Build a Check Sheet • Agree on the definition of the events or conditions to observe. • Decide who will collect the data. • Determine the time period. • Design a check sheet form that is clear and easy to use. • Define Source of information. • Determine Content of information. • Collect data consistently and accurately.
  • 29. Example of a Check Sheet Project: Defects on fastener installation Performed by: John Doe Location: Cost Center 727 Reason: Defect reduction Time period: W/E 4/23/04 Type of defects 4/19 4/20 4/21 4/22 4/23 Total Gapped fasteners 15 15 12 10 14 66 Missing fasteners 3 0 0 1 1 5 Damaged fasteners 8 3 12 8 4 35 Defective fasteners 12 3 5 3 6 29 Total 38 21 29 22 25 135
  • 30. Histograms • Graphical representations of the frequency distribution of data in bar form. • Summarizes data from a process that has been collected over a period of time • Provide a quick representation of the “spread” and “centering” of a process
  • 31. • Histogram Defined – A histogram is a bar graph that shows frequency data. – Histograms provide the easiest way to evaluate the distribution of data.
  • 32. Advantages of a Histogram • Display large amounts of data that are difficult to interpret in a tabular form • Show the relative frequency of occurrences of the various data values • Reveal the variation, centering, and distribution shape of the data • Very useful when calculating capability of a process • Helps predict future performance of a process
  • 33. Steps to Build a Histogram • Collect data for analysis. • At least 50 to 100 data points • Use historical data to find patterns or to use as a baseline for past performance • Determine the range of the data set. • Smallest value subtracted from largest value • Determine quantity of categories. • Take the square root of total number of data points and round to nearest whole number
  • 34. Steps to Build a Histogram (cont.) • Determine each category’s data point. • Mid-point of each category • Plot data on a vertical bar-graph. • Frequency on Y-axis • Categories on X-axis • For each class interval, draw bar with the the height equal to frequency count
  • 35. Example of a Histogram Class Category Mid-point Frequency boundary 1 10.00 - 10.19 10.1 1 2 10.20 - 10.39 10.3 6 3 10.40 - 10.59 10.5 12 4 10.60 - 10.79 10.7 8 5 10.80 - 10.99 10.9 6 6 11.00- 11.19 11.1 3 14 12 10 8 6 12 4 8 6 6 2 3 1 0 10.00 - 10.20 - 10.40 - 10.60 - 10.80 - 11.00- 10.19 10.39 10.59 10.79 10.99 11.19
  • 36. Control Charts • Line graph of measurements of a process overtime that has statistically based control limits placed on it • Process control charts monitor and display variations in a process output. • Control limits are based on process variation • Define expected variation range due to common causes • +/- three standard deviations from centerline • Centerline represents the average of all measurements used
  • 37. Types of Control Charts • Two primary types are: • Control charts for variables: • Most used: X –R • X is average values • R is range • Others: Run charts, moving range charts (MX –MR charts) • Control charts for attributes: • p chart: fraction defective • np chart: number of defectives • c chart: number of defects
  • 38. Advantages of Control Charts • Focuses attention on detecting and monitoring process variation over time • Distinguishes “special” from “common” causes • Helps predict performance of a process • Helps improve a process to perform consistently • Provides a common language to discuss process behavior
  • 39. Steps to Build a Control Chart • Select the process to be charted. • Determine type of chart. • Determine sampling method and plan. • Initiate data collection. • Calculate control limits and centerline. • Build the control chart. • Plot data. • Interpret results.
  • 40. Example of a Control Chart Point out-of-control (out of the control limits boundaries) Data plot Upper control limit 3 std.deviations Centerline 3 std.deviations Lower control limit
  • 41. Scatter Diagrams • Chart used to identify the possible relationship between two process characteristics • Advantages of the scatter diagram • Provides visual and statistical means to test the strength of a potential relationship • Provides a good follow-up to the cause and effect diagram to find out if there is a connection between the cause and the effect
  • 42. Steps to Build a Scatter Diagram • Collect 50 – 100 paired samples of data. • Construct a data sheet. • Draw the Y-axis and the X-axis of the diagram. • Plot the data on the diagram.
  • 43. Example of a Scatter Diagram Variable 2 Variable 1
  • 44. Summary • The seven tools of quality discussed in this module are considered to make up the fundamental continuous improvement toolkit. • It is the intent of this course to touch basis on these tools and not to study them in depth. • Depth analysis of these theories is considered subject for another course.
  • 45. RUN CHARTS • Run Charts Defined – Run charts are used to analyze processes according to time or order.
  • 46. RUN CHARTS • Creating a Run Chart – Gathering Data • Some type of process or operation must be available to take measurements for analysis. – Organizing Data • Data must be divided into two sets of values X and Y. X values represent time and values of Y represent the measurements taken from the manufacturing process or operation. – Charting Data • Plot the Y values versus the X values. – Interpreting Data • Interpret the data and draw any conclusions that will be beneficial to the process or operation.
  • 47. RUN CHART • An Example of Using a Run Chart – An organization’s desire is to have their product arrive to their customers on time, but they have noticed that it doesn’t take the same amount of time each day of the week. They decided to monitor the amount of time it takes to deliver their product over the next few weeks.

Editor's Notes

  1. It motivates team members participation.
  2. Example of a Scatter Diagram The scatter diagram shows that variable 1 increases as variable 2 increases. This is a case of a positive relationship. In the event that variable 1 decreases as variable 2 increases, then both variables have a negative relationship. The same is true if variable 1 increases as variable 2 decreases.