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16-1
Part Four
                        ANALYSIS AND
                    PRESENTATION OF DATA



 16-2
McGraw-Hill/Irwin             © 2003 The McGraw-Hill Companies, Inc.,All Rights Reserved.
Chapter Sixteen
       EXPLORING, DISPLAYING,
        AND EXAMINING DATA



16-3
Types of Data Analysis

       • Exploratory data analysis
         – the data guide the choice of analysis--or a
           revision of the planned analysis
       • Confirmatory data analysis
         – closer to classical statistical inference in its
           use of significance and confidence
         – may use information from a closely related
           data set or by validating findings through
           the gathering and analyzing of new data

16-4
Techniques to Display
             and Examine Distributions

       • Frequency Table
       • Visual Displays
         – Histograms
         – Stem-and-leaf display
         – Box-plot
       • Crosstabulation of Variables



16-5
Techniques to Display
             and Examine Distributions

       • Histograms
         – Display all intervals in a distribution, even
           without observed values
         – Examine the shape of the distribution for
           skewness, kurtosis, and the modal pattern




16-6
Techniques to Display
          and Examine Distributions (cont.)

       • Box-plot (box and whisker-plot)
         – Rectangular plot encompasses 50% of
           the data values
            • Edges of the box (hinges)
         – Center line through the width of the box
           marks the median
         – Whiskers extend from the right and left
           hinges to the largest and smallest
           values
16-7
Techniques to Display
          and Examine Distributions (cont.)

       • Transformation
         – To improve interpretation and
           compatibility with other data sets
         – To enhance symmetry and stabilize
           spread
         – To improve linear relationships between
           and among variables



16-8
Improvement & Control Analysis

       • Statistical process control
         – Uses statistical tools to analyze, monitor,
           and improve process performance
         – Total Quality Management
         – Control chart
            • Displays sequential measurements of a
              process together with a center line and control
              limits
                – Upper control limit
                – Lower control limit

16-9
Types of Control Charts

        • Variables data
          (ratio or interval measurements)
          – X-bar
          – R-charts
          – s-charts
          – Pareto Diagrams
             • Bar chart whose percentages sum to 100
               percent


16-10
Geographic Information Systems

        • Systems of hardware, software, and
          procedures that capture, store,
          manipulate, integrate, and display
          spatially-referenced data




16-11
Geographic Information Systems

        • Minimum four components
          – Integrating information from various
            sources
          – Capturing data
          – Projection and restructuring
          – Modeling




16-12
Crosstabulation

        • A technique for comparing two
          classification variables
          – Cells
          – Marginals
          – Contingency tables




16-13
Percentaging Errors

        • Averaging percentages without
          weighting
        • Using too-large percentages (>100%)
        • Using percentage with very small
          sample
        • Citing percentage decrease exceeding
          100 percent


16-14
Other Table-based Analysis

        • Automatic Interaction Detection (AID)
          – Sequential partitioning procedure that uses
            a dependent variable and set of predictors
          – Searches among up to 300 variables for
            the best single division of data into
            subsets according to each predictor
            variable,
          – Chooses one division approach
          – Splits the sample using chi-square tests to
            create multi-way splits.
16-15

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Business Research Methods Chap016

  • 2. Part Four ANALYSIS AND PRESENTATION OF DATA 16-2 McGraw-Hill/Irwin © 2003 The McGraw-Hill Companies, Inc.,All Rights Reserved.
  • 3. Chapter Sixteen EXPLORING, DISPLAYING, AND EXAMINING DATA 16-3
  • 4. Types of Data Analysis • Exploratory data analysis – the data guide the choice of analysis--or a revision of the planned analysis • Confirmatory data analysis – closer to classical statistical inference in its use of significance and confidence – may use information from a closely related data set or by validating findings through the gathering and analyzing of new data 16-4
  • 5. Techniques to Display and Examine Distributions • Frequency Table • Visual Displays – Histograms – Stem-and-leaf display – Box-plot • Crosstabulation of Variables 16-5
  • 6. Techniques to Display and Examine Distributions • Histograms – Display all intervals in a distribution, even without observed values – Examine the shape of the distribution for skewness, kurtosis, and the modal pattern 16-6
  • 7. Techniques to Display and Examine Distributions (cont.) • Box-plot (box and whisker-plot) – Rectangular plot encompasses 50% of the data values • Edges of the box (hinges) – Center line through the width of the box marks the median – Whiskers extend from the right and left hinges to the largest and smallest values 16-7
  • 8. Techniques to Display and Examine Distributions (cont.) • Transformation – To improve interpretation and compatibility with other data sets – To enhance symmetry and stabilize spread – To improve linear relationships between and among variables 16-8
  • 9. Improvement & Control Analysis • Statistical process control – Uses statistical tools to analyze, monitor, and improve process performance – Total Quality Management – Control chart • Displays sequential measurements of a process together with a center line and control limits – Upper control limit – Lower control limit 16-9
  • 10. Types of Control Charts • Variables data (ratio or interval measurements) – X-bar – R-charts – s-charts – Pareto Diagrams • Bar chart whose percentages sum to 100 percent 16-10
  • 11. Geographic Information Systems • Systems of hardware, software, and procedures that capture, store, manipulate, integrate, and display spatially-referenced data 16-11
  • 12. Geographic Information Systems • Minimum four components – Integrating information from various sources – Capturing data – Projection and restructuring – Modeling 16-12
  • 13. Crosstabulation • A technique for comparing two classification variables – Cells – Marginals – Contingency tables 16-13
  • 14. Percentaging Errors • Averaging percentages without weighting • Using too-large percentages (>100%) • Using percentage with very small sample • Citing percentage decrease exceeding 100 percent 16-14
  • 15. Other Table-based Analysis • Automatic Interaction Detection (AID) – Sequential partitioning procedure that uses a dependent variable and set of predictors – Searches among up to 300 variables for the best single division of data into subsets according to each predictor variable, – Chooses one division approach – Splits the sample using chi-square tests to create multi-way splits. 16-15