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Quantitative Data
                                                             Analysis and
      Quantitative Data Analysis                             Presentation –
                                                             Consider your
                                                               argument
                  Dr Kevin Morrell
                 www.kevinmorrell.org.uk




                    Overview
 •   Consider your argument
 •   Common mistakes
 •   The role of quantitative data in the thesis
                                                             consider your argument
 •   Charts and illustrations
 •   Summary




             What do I mean by
              ‘consider your                            Don’t look for answers in the data just because
                argument’?                                   the light seems to be brighter there




                                                           Remember to use statistics like the drunk
 Think about the trajectory of the dissertation and
the role of any data before you choose to include it.
                                                        leaning against the lamp post - for support not
           DO NOT PUT YOUR DATA FIRST                                    illumination




                                                                                                          1
How do you structure your
              argument?
•   Overall: aim for clarity of title, questions and abstract
•   Focus on addressing your research questions
•   Jot down key findings on a first ‘sweep’                     common mistakes in thinking
•   Look for explanations → why??
•   Further exploration to test hypotheses
•   Revise any initial assumptions if necessary
•   Consolidate your argument and plan tables/charts
•   Review and refine if necessary
•   Overall: it’s iterative but aim for coherence




     Common mistakes in thinking
•   ‘Quants data will make my thesis look more scientific’
•   ‘I have to have some’ (and terms like correlation etc)
•   ‘I’ve done it so I might as well include it’
•   ‘Not sure what this means but it should go in’
                                                                  the role of quantitative data
•   ‘This speaks for itself’

• Why are these mistakes?

• Get the balance between thinking & writing and charting
  right (most people do more charting)




(Prescriptive) quantitative data in
                                                                          Examples - review
            the thesis
1. Review (introduction, why the area is important,
   discussion of context – may include quantitative,            • “There are approximately 22,000 local
   descriptive, secondary data)                                   politicians (elected members) in England
2. Methods (outline proposed methods & critique / develop
   – may include discussion of secondary data)                    and Wales, with responsibility for running
3. Operationalisation (data ‘collection’ – may include            local government. Approximately half of
   descriptive statistics)
4. Analysis (contextualised presentation and discussion of        all employees in the public sector (of a total
   ‘findings’)                                                    of over 5 million) work in local
5. Discussion (interpretation and setting in a wider context
   ‘the literature’ – may refer back to / compare primary and     government, and local authorities spend
   secondary data)                                                around £78 billion pounds per annum
                                                                  (Local Government Association, 2004).”




                                                                                                                   2
Examples - methods                                                                  Example – operationalisation
                                                                                               • Overall, 1190 surveys were mailed. Of these, 368 were returned.
                                                                                                 Twenty-four surveys were returned undelivered (Trust mailing
                                                                                                 details were incorrect). Eight surveys were excluded from initial
 • Discuss findings / sample size / response                                                     analysis, because the respondents were not nurses (three cases), or
                                                                                                 they did not leave voluntarily (five cases). Eight more surveys were
   rates / reliability and other metrics from                                                    left out during data entry, either because there was too much
   other instruments.                                                                            missing data (three cases), or because turnover was involuntary
                                                                                                 (five cases). The final sample size is thus 352. This represents an
 • Can become quite technical1 but some                                                          overall response rate of 31%, which is high for this type of survey
   numbers are useful to provide context.                                                        (Owen and Jones, 1994, p. 313). Most respondents were female
                                                                                                 (91%), their mean age was 35 and average tenure was 4.1 years.
                                                                                                 The vast majority of respondents (86%) were still working as
    1Dichotomous
                                                                                                 nurses at the time of participating in the research. Almost three-
                    measures reduce variance, such that the maximum effect size for a point-
    biserial correlation between a continuous variable and a dichotomous variable is 0.798       quarters (71%) were still working as nurses in the NHS.




                    Example - analysis                                                                        Example - discussion
Reliability Ratings (alpha ratings) for 7 of the Scales in the
Warwick Political leadership Questionnaire were as follows:
                                                                                                   “Although the item the IES uses seems on the face
•Public Values                            0.825                                                    of it a reasonable indicator of potential interventions
•Questioning                              0.729
                                                                                                   to reduce turnover, it is not consistent with
•Decision Making                          0.797
•Personal Effectiveness                   0.815                                                    evidence gained from asking actual leavers what
•Strategic Thinking                       0.832                                                    the main basis for their decision to leave was. For
•Advocacy                                 0.855                                                    example, although pay was a source of dissatisfaction
                                                                                                   for more than half the respondents to this
                                                                                                   survey, only six saw it as being the main reason
                                                                                                   they left (as reported above)…. [because]”




                                                                                                             Why use illustrations?
                                                                                                       Can improve presentation of the argument


                                                                                                                                +
            charts and illustrations
                                                                                                           More efficient use of time and space


                                                                                                                                +
                                                                                                               Flow / expectations / aesthetic




                                                                                                                                                                        3
Example
          Commonly used techniques                                  Table 1: Reliability Ratings (Alphas) For 7 scales in a questionnaire

    •   Table                                                        Scale (abbrev.)        No of            Alph
                                                                                             Items              a

    •   Bar chart                                                    Public Values              7            0.82
                                                                                                                5                         What if anything is wrong
    •   Histogram                                                    Questioning                6            0.72                         with the way in which this
                                                                                                                9
                                                                                                                                          table is set out?
                                                                     Dec’n Making               5            0.79
    •   Pie Chart                                                                                               7
                                                                     Pers.                      6            0.81
    •   Scatterplot                                                     Effect’ness                             5
                                                                     Strategic                  4            0.83
    •   3d or not 3d                                                    Thinking                                2
                                                                     Advocacy                   5            0.85
                                                                                                                5
    •   cast thy nighted colour off?




                                                                   What if anything is wrong with the way in which this chart is set out?
                         Examples




What if anything is wrong
with the way in which this
chart is set out?




                                                                                                             T o a little extent / not at all
                             Shock Influence                                  72 %
                                                                                             68%             T o a great extent / v ery great extent

                                                                                                                         62%
                                                                                                                                                60%



                                                                                                                                                             48%
                                               What if
                                               anything is
                                               wrong with the
                                               way in which
                                               this chart is set
                                               out?

                                                                               8%
                                                                                             10%
                                                                                                                         12%                    13%
                                                                                                                                                               15%
                                                                          Decide how to                           Decide when
                                                                                          Decide order           to start / finish        Choose methods   Authority to
                                                                          get job done
                                                                                                                 a piece of work              to use        act / make
                                                                                                                                                            decisions
                                                                                                         Base: All res pondents 1 , 933




                                                                   What if anything is wrong
                                                                   with the way in which this
                                                                   chart is set out?




                                                                                                                                                                          4
What if anything is wrong
with the way in which this                                                                     Simple rule when including
chart is set out?
          50
                                                                                                     ‘illustrations’
          45

          40                                                                             •   Have some text introducing, and at the very least referring
          35                                                                                 to, the chart (illustration)
          30

          25                                                                             •   Make sure it is correctly labelled and formatted and
          20                                                                                 appropriately positioned
          15

          10
                                                                                         •   Have some text describing and interpreting the data
           5

           0
                strongly   disagree       neither           agree       strongly agree   •   Always ask yourself
               disagree
                                                                                             1. ‘why is it important to draw the reader’s attention to that’
                           1    2     3   4         5   6     7     8                        2. ‘How does it help my argument’




                                                                                                Putting your argument first
                                                                                                     What questions am I trying to address?



                                                                                                     What relevant data do I have for these?

                               summary                                                                     What’s the data ‘telling me’?


                                                                                                    Does this help me develop an argument?


                                                                                                               How do I illustrate it?


                                                                                                           Presentation & Interpretation




                                                                                                                                                               5

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Quantitative%20 methods%20present%20your%20argument

  • 1. Quantitative Data Analysis and Quantitative Data Analysis Presentation – Consider your argument Dr Kevin Morrell www.kevinmorrell.org.uk Overview • Consider your argument • Common mistakes • The role of quantitative data in the thesis consider your argument • Charts and illustrations • Summary What do I mean by ‘consider your Don’t look for answers in the data just because argument’? the light seems to be brighter there Remember to use statistics like the drunk Think about the trajectory of the dissertation and the role of any data before you choose to include it. leaning against the lamp post - for support not DO NOT PUT YOUR DATA FIRST illumination 1
  • 2. How do you structure your argument? • Overall: aim for clarity of title, questions and abstract • Focus on addressing your research questions • Jot down key findings on a first ‘sweep’ common mistakes in thinking • Look for explanations → why?? • Further exploration to test hypotheses • Revise any initial assumptions if necessary • Consolidate your argument and plan tables/charts • Review and refine if necessary • Overall: it’s iterative but aim for coherence Common mistakes in thinking • ‘Quants data will make my thesis look more scientific’ • ‘I have to have some’ (and terms like correlation etc) • ‘I’ve done it so I might as well include it’ • ‘Not sure what this means but it should go in’ the role of quantitative data • ‘This speaks for itself’ • Why are these mistakes? • Get the balance between thinking & writing and charting right (most people do more charting) (Prescriptive) quantitative data in Examples - review the thesis 1. Review (introduction, why the area is important, discussion of context – may include quantitative, • “There are approximately 22,000 local descriptive, secondary data) politicians (elected members) in England 2. Methods (outline proposed methods & critique / develop – may include discussion of secondary data) and Wales, with responsibility for running 3. Operationalisation (data ‘collection’ – may include local government. Approximately half of descriptive statistics) 4. Analysis (contextualised presentation and discussion of all employees in the public sector (of a total ‘findings’) of over 5 million) work in local 5. Discussion (interpretation and setting in a wider context ‘the literature’ – may refer back to / compare primary and government, and local authorities spend secondary data) around £78 billion pounds per annum (Local Government Association, 2004).” 2
  • 3. Examples - methods Example – operationalisation • Overall, 1190 surveys were mailed. Of these, 368 were returned. Twenty-four surveys were returned undelivered (Trust mailing details were incorrect). Eight surveys were excluded from initial • Discuss findings / sample size / response analysis, because the respondents were not nurses (three cases), or they did not leave voluntarily (five cases). Eight more surveys were rates / reliability and other metrics from left out during data entry, either because there was too much other instruments. missing data (three cases), or because turnover was involuntary (five cases). The final sample size is thus 352. This represents an • Can become quite technical1 but some overall response rate of 31%, which is high for this type of survey numbers are useful to provide context. (Owen and Jones, 1994, p. 313). Most respondents were female (91%), their mean age was 35 and average tenure was 4.1 years. The vast majority of respondents (86%) were still working as 1Dichotomous nurses at the time of participating in the research. Almost three- measures reduce variance, such that the maximum effect size for a point- biserial correlation between a continuous variable and a dichotomous variable is 0.798 quarters (71%) were still working as nurses in the NHS. Example - analysis Example - discussion Reliability Ratings (alpha ratings) for 7 of the Scales in the Warwick Political leadership Questionnaire were as follows: “Although the item the IES uses seems on the face •Public Values 0.825 of it a reasonable indicator of potential interventions •Questioning 0.729 to reduce turnover, it is not consistent with •Decision Making 0.797 •Personal Effectiveness 0.815 evidence gained from asking actual leavers what •Strategic Thinking 0.832 the main basis for their decision to leave was. For •Advocacy 0.855 example, although pay was a source of dissatisfaction for more than half the respondents to this survey, only six saw it as being the main reason they left (as reported above)…. [because]” Why use illustrations? Can improve presentation of the argument + charts and illustrations More efficient use of time and space + Flow / expectations / aesthetic 3
  • 4. Example Commonly used techniques Table 1: Reliability Ratings (Alphas) For 7 scales in a questionnaire • Table Scale (abbrev.) No of Alph Items a • Bar chart Public Values 7 0.82 5 What if anything is wrong • Histogram Questioning 6 0.72 with the way in which this 9 table is set out? Dec’n Making 5 0.79 • Pie Chart 7 Pers. 6 0.81 • Scatterplot Effect’ness 5 Strategic 4 0.83 • 3d or not 3d Thinking 2 Advocacy 5 0.85 5 • cast thy nighted colour off? What if anything is wrong with the way in which this chart is set out? Examples What if anything is wrong with the way in which this chart is set out? T o a little extent / not at all Shock Influence 72 % 68% T o a great extent / v ery great extent 62% 60% 48% What if anything is wrong with the way in which this chart is set out? 8% 10% 12% 13% 15% Decide how to Decide when Decide order to start / finish Choose methods Authority to get job done a piece of work to use act / make decisions Base: All res pondents 1 , 933 What if anything is wrong with the way in which this chart is set out? 4
  • 5. What if anything is wrong with the way in which this Simple rule when including chart is set out? 50 ‘illustrations’ 45 40 • Have some text introducing, and at the very least referring 35 to, the chart (illustration) 30 25 • Make sure it is correctly labelled and formatted and 20 appropriately positioned 15 10 • Have some text describing and interpreting the data 5 0 strongly disagree neither agree strongly agree • Always ask yourself disagree 1. ‘why is it important to draw the reader’s attention to that’ 1 2 3 4 5 6 7 8 2. ‘How does it help my argument’ Putting your argument first What questions am I trying to address? What relevant data do I have for these? summary What’s the data ‘telling me’? Does this help me develop an argument? How do I illustrate it? Presentation & Interpretation 5