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Presenting Data in Charts,
Graphs and Tables
MDLB 5100 – Principles of Research Design
Catherine Loc-Carrillo, Ph.D.
Learning Objectives
 identify the types of charts and graphs and when the
  use of each is appropriate
Purpose of displaying data
 Figures and graphs help the reader visualize the
  story

 Can make information easier to understand and
  remember
General rules for displaying
data
 K.I.S.S.

 Use clear descriptive titles and labels

 Provide a narrative description of the highlights
A good graph
 Includes: axes, labels, scales, symbols and legend
 Should draw attention to data not itself
 Data points should be easy to read
 Labels are easy to read and distinguish
 The scales used should match the range of the
  data
 The legend is clear and concise
 The data deserved to be graphed
 Visually balanced axes (i.e. ratio of 1.0 to 1.3)
Line graphs &scattergrams
 Use horizontal and vertical axis

 Illustrates the relationship between 2 or more
  variables
  Independent variable (plotted on x axis) can be
   manipulated or changed by the investigator
  Dependent variable (plotted on y axis) depends
   on the value of the independent variable

 Use for continuous variables
Scattergrams
 When displaying data
  that is distributed over
  an area, bar graphs
  can have limitations
   The ‘mean’ and SD, or
    median and 95% CI
    can be easier to
    display with a
    scattergram




                             Source: Annesley (2010) ClinChem 56(8): 1394-1400
Example 1
 Line graph
  Symbols representing
   doses are clear and
   easy to distinguish
  Connecting lines are
   clear
  The scale is
   proportional to the
   range of values
  Minimal wasted space
   throughout graph
  Legend is concise and
   easy to understand

                           Source: Annesley (2010) ClinChem 56(8): 1229-1233
Exercise 1: How can the
graph be improved?
 Symbols

 Lines

 Text size

 Use of decimal point

 Wasted space

 The ratio of axis




                         Source: Annesley (2010) ClinChem 56(8): 1229-1233
Bars graphs and pies charts
 Used when variables are discontinuous

 Bar graphs are useful for visual comparisons of
  data
Bar graphs
 Used to plot a set of discontinuous independent
  variables versus continuous dependent variables

 Consider:
  The space between the bars should be narrower
   than the width of the bars
  Use shading or patterns that help distinguish bars
   from one another
  Avoid use of a suppressed-zero scale
  Y-axis represents frequency
  X-axis may represent time or different classes
Exercise 2: Which graph is
best and why?




                  Source: Annesley (2010) ClinChem 56(8): 1394-1400
Pie charts
 A circular drawing divided into segments
  Each segment reflects proportion of total area

 Pie charts are most understandable if the number
  of categories is limited to <6

 These charts are most accurate when all
  available data or outcomes are included




                                   Source: Annesley (2010) ClinChem 56(8): 1394-1400
Tables
 A rectangular arrangement of data in which the data
  are positioned in rows and columns.

 Each row and column should be labelled.

 Rows and columns with totals should be shown in the
  last row or in the right-hand column.
            Region   Adults and adolescents   Children <15     Total
                           ≥ 15 years            years

              1                      14 800             200       15 000

              2                     400 000          20 000      420 000

              3                     997 000            3 000   1 000 000

              4                     985 000          15 000    1 000 000

              5                   1 460 000          40 000    1 500 000

              6                     465 000          35 000      500 000

              7                     940 000          10 000      950 000

              8                     380 000         220 000      600 000

              9                     900 000         600 000    1 500 000

              10                    545 000            5 000     550 000

             Total                7 086 800         948 200    8 035 000
Making friends with your
data
 Statistical results should be clear and suitable for
  the typical reader

 The statistics conducted should be appropriate
   There isn’t a ‘right’ one
   The data should be analyzed in several ways
   Do the results convey meaningful information

 Don’t be afraid to learn new statistical
  procedures
   Don’t try to impress the readers with statistical
    complexities
Presenting the results
 A 2nd year undergraduate should be able to
  read the results section and know what the main
  findings are
 Don’t report the same stats more than once
 ’Statistical significance’
   Is a result where chance is an unlikely explanation
   i.e. p> 0.05

 When p> 0.001, report the actual number, but
  when p< 0.001 then just report as is
   Don’t report p=0
Take home message
 Researchers spend months/years collecting their
  data then throw it into a computer and try to
  analyze in minutes

 The data deserves better!

 Quick and reckless approach to data analysis
  often fails to identify important aspects of the
  data

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Presenting data & stats

  • 1. Presenting Data in Charts, Graphs and Tables MDLB 5100 – Principles of Research Design Catherine Loc-Carrillo, Ph.D.
  • 2. Learning Objectives  identify the types of charts and graphs and when the use of each is appropriate
  • 3. Purpose of displaying data  Figures and graphs help the reader visualize the story  Can make information easier to understand and remember
  • 4. General rules for displaying data  K.I.S.S.  Use clear descriptive titles and labels  Provide a narrative description of the highlights
  • 5. A good graph  Includes: axes, labels, scales, symbols and legend  Should draw attention to data not itself  Data points should be easy to read  Labels are easy to read and distinguish  The scales used should match the range of the data  The legend is clear and concise  The data deserved to be graphed  Visually balanced axes (i.e. ratio of 1.0 to 1.3)
  • 6. Line graphs &scattergrams  Use horizontal and vertical axis  Illustrates the relationship between 2 or more variables  Independent variable (plotted on x axis) can be manipulated or changed by the investigator  Dependent variable (plotted on y axis) depends on the value of the independent variable  Use for continuous variables
  • 7. Scattergrams  When displaying data that is distributed over an area, bar graphs can have limitations  The ‘mean’ and SD, or median and 95% CI can be easier to display with a scattergram Source: Annesley (2010) ClinChem 56(8): 1394-1400
  • 8. Example 1  Line graph  Symbols representing doses are clear and easy to distinguish  Connecting lines are clear  The scale is proportional to the range of values  Minimal wasted space throughout graph  Legend is concise and easy to understand Source: Annesley (2010) ClinChem 56(8): 1229-1233
  • 9. Exercise 1: How can the graph be improved?  Symbols  Lines  Text size  Use of decimal point  Wasted space  The ratio of axis Source: Annesley (2010) ClinChem 56(8): 1229-1233
  • 10. Bars graphs and pies charts  Used when variables are discontinuous  Bar graphs are useful for visual comparisons of data
  • 11. Bar graphs  Used to plot a set of discontinuous independent variables versus continuous dependent variables  Consider:  The space between the bars should be narrower than the width of the bars  Use shading or patterns that help distinguish bars from one another  Avoid use of a suppressed-zero scale  Y-axis represents frequency  X-axis may represent time or different classes
  • 12. Exercise 2: Which graph is best and why? Source: Annesley (2010) ClinChem 56(8): 1394-1400
  • 13. Pie charts  A circular drawing divided into segments  Each segment reflects proportion of total area  Pie charts are most understandable if the number of categories is limited to <6  These charts are most accurate when all available data or outcomes are included Source: Annesley (2010) ClinChem 56(8): 1394-1400
  • 14. Tables  A rectangular arrangement of data in which the data are positioned in rows and columns.  Each row and column should be labelled.  Rows and columns with totals should be shown in the last row or in the right-hand column. Region Adults and adolescents Children <15 Total ≥ 15 years years 1 14 800 200 15 000 2 400 000 20 000 420 000 3 997 000 3 000 1 000 000 4 985 000 15 000 1 000 000 5 1 460 000 40 000 1 500 000 6 465 000 35 000 500 000 7 940 000 10 000 950 000 8 380 000 220 000 600 000 9 900 000 600 000 1 500 000 10 545 000 5 000 550 000 Total 7 086 800 948 200 8 035 000
  • 15. Making friends with your data  Statistical results should be clear and suitable for the typical reader  The statistics conducted should be appropriate  There isn’t a ‘right’ one  The data should be analyzed in several ways  Do the results convey meaningful information  Don’t be afraid to learn new statistical procedures  Don’t try to impress the readers with statistical complexities
  • 16. Presenting the results  A 2nd year undergraduate should be able to read the results section and know what the main findings are  Don’t report the same stats more than once  ’Statistical significance’  Is a result where chance is an unlikely explanation  i.e. p> 0.05  When p> 0.001, report the actual number, but when p< 0.001 then just report as is  Don’t report p=0
  • 17. Take home message  Researchers spend months/years collecting their data then throw it into a computer and try to analyze in minutes  The data deserves better!  Quick and reckless approach to data analysis often fails to identify important aspects of the data