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                                        UnivUniversity of Nebrersity of Nebraska Medical Center aska Medical Center 
                                         DigitalCommons@UNMC DigitalCommons@UNMC 
        Journal Articles: College of Nursing      College of Nursing 
        4-1996 
        Basics of rBasics of researesearch (Pch (Parart 6): Quantitativt 6): Quantitative data analysis e data analysis 
        Cheryl Thompson 
        University of Nebraska Medical Center, cbthompson@unmc.edu 
        Robert Schwartz 
        University of Pittsburgh 
        Eric Davis 
        Strong Memorial Hospital 
        Edward A. Panacek 
        University of California, Davis 
        Follow this and additional works at: https://digitalcommons.unmc.edu/con_articles 
           Part of the Nursing Commons 
        Recommended Citation Recommended Citation 
        Thompson, Cheryl; Schwartz, Robert; Davis, Eric; and Panacek, Edward A., "Basics of research (Part 6): 
        Quantitative data analysis" (1996). Journal Articles: College of Nursing. 19. 
        https://digitalcommons.unmc.edu/con_articles/19 
        This Article is brought to you for free and open access by the College of Nursing at DigitalCommons@UNMC. It has 
        been accepted for inclusion in Journal Articles: College of Nursing by an authorized administrator of 
        DigitalCommons@UNMC. For more information, please contact digitalcommons@unmc.edu. 
                                                                                                           SPECIAL COMMUNICATION 
                    Basics of Research (Part 6): 
                   Quantitative  Data Analysis 
                   Cheryl  Bagley  Thompson,                               PhD,  RN,  CS,’  Robert  Schwartz,                                   MD,  MPH,*  Eric  Davis,  MD,3 
                   Edward  A.-P&acek,‘MDd 
                   1.  University      of  Utah     College      of  Nursing,      Salt           Introduction                                                                should consider the statistician an impor- 
                       Lake     City,   Utah                                                     You can do it early or you can do it late,                                   tant  consultant  and  collaborator                              and 
                   2.  Department          of  Emergency          Medicine,       Cen-           but  eventually  all investigators  using                                    should avail himself or herself of the sta- 
                       ter  for   Injury   Research        and  Control,       Uni-              quantitative  methods  have to  deal with                                    tistician’s expertise. 
                       versity    of  Pittsburgh       Medical       Center,     Pitts-          statistical analysis. The  purpose  of this                                        To help diminish the stress of a statis 
                       burgh,      Pennsylvania                                                  part of the Basics of Research series is to                                  tical consultation, the investigator should 
                   3.  Department          of  Emergency          Medicine,                      try  to  take  some  of the  fear  out  of  ap-                              prepare  a list of questions before  meet- 
                       Strong      Memorial        Hospital,     Rochester,                      proaching  your  data analysis by provid-                                    ing with  the  statistician. In  creating the 
                       New  York                                                                 ing  an introduction  to  basic statistical                                  list of questions the investigator needs to 
                   4.  Division     of  Emergency          Medicine       and  Clini-            concepts and the  process of data analy-                                     start with  the  research question.1 If the 
                       cal  Toxicology,         University      of  California,                  sis. To  help accomplish this, definitions                                   investigator has an idea of what statistics 
                       Davis,     Medical      Center,      Sacramento,          Cali-           will be provided for uncommon  concepts                                      to  use, the  questions for  the  statistician 
                       fornia                                                                    and  examples  will  be  used  to  demon-                                    are  related  to  whether  the  proposed 
                   Key    Words:      clinical    research,       research,      sta-            strate key points.                                                           analyses are appropriate and what  other 
                   tistical   analysis                                                                The  discussion will proceed through                                    statistics       should be considered. If the  in- 
                                                                                                 the  chronologic  steps used for  a statisti-                                vestigator  has no idea of what  statistics 
                   Address       for  correspondence             and  reprints:                  cal analysis: planning,  preparation,  and                                   to  use,  the  first  question                     should  be, 
                   Cheryl     Bagley      Thompson,          PhD,     RN,  CS,  Uni-             statistical concepts. The final section will                                 ‘What  statistics are appropriate  for  the 
                   versity    of  Utah    College      of  Nursing,       25  South              include a discussion on interpreting  your                                   research questions being addressed?“. 
                   Medical      Drive,    Salt  Lake      City,   UT  64112                      statistical analysis.                                                              The  investigator  should  take advan- 
                   Copyright       0   1996     by  the  Air  Medical        Journal                                                                                          tage of the  meeting  with  the  statistician 
                   Associates.                                                                   Planning                                                                     to find  out why  the analysis is appropri- 
                   Reprint     no.  74llff2811                                                   The most important  part of any research                                     ate and to increase his or her knowledge 
                                                                                                 project  is the  planning  process.  The                                     of statistics. The investigator needs to be 
                                                                                                 more  complete                    the  planning,                 the         able to defend his or her choice of statis- 
                                                                                                 smoother  the  project  generally  runs.                                     tics at presentations and within  publica- 
                                                                                                This  includes  data collection  and analy-                                   tions. Saying merely that  the  statistician 
                                                                                                 sis. The  development                       of  a statistical                said so is not  sufficient.  Consequently, 
                                                                                                 analysis should not be delayed until after                                   this understanding  of the analysis is es- 
                                                                                                 the data is in hand. Rather, the investiga-                                  sential. 
                                                                                                 tor  should  have a specific plan for  data                                        Several advantages result from hav- 
                                                                                                 analysis before initiating the study.                                        ing a plan for data analysis before begin- 
                                                                                                      Investigators uncomfortable  with  sta-                                 ning the study. The most obvious is that 
                                                                                                 tistical analysis should consult a statisti-                                 the investigator is not left perplexed 
                                                                                                 cian early in the planning phase. A statia                                   about what to do with all the data now in 
                                                                                                 tician        will       help         the       investigator                 the computer. A plan speeds the process 
                                                                                                 determine  what  statistical  analysis  is                                   of data analysis. If a computer program 
                                                                                                 most  appropriate  for  answering  the  re-                                  will be used, the commands for the 
                                                                                                 search question  considering  the  type of                                   analysis can even be written  before data 
                                                                                                 data collected. Statisticians, however, can                                  collection is complete. In this case, as 
                                                                                                 be intimidating  to some individuals. This                                   soon as all the data are entered, the in- 
                                                                                                 should not be the case. The investigator                                     vestigator runs the predetermined  prc- 
                   Air  Medical  Journal                152       April-June         1996                                                                                                                                                         73 
                      grams and the analysis is ready for inter-                                        puter that can only be accessed by the re                                        ual subjects  are listed  down  the  side. 
                      pretation.                                                                        search team or must be placed into files                                         This data format  takes less time to create 
                            The second advantage of planning the                                        with  password  protection.  In  addition,                                       than a data input  screen but still requires 
                      statistical analysis before  the study is an                                      the  investigator  must  have  backups  in                                       the enter, tab, or arrow key to be pressed 
                      increase in scientific integrity. The inves-                                      case of catastrophic loss. Backups should                                        after  each data  element.  Most  current 
                      tigator  who  has a plan ahead of time  is                                        be made at frequent  intervals during data                                       spreadsheets allow for a variety of simple 
                      less likely to bend the analysis to suit the                                      entry  to  prevent  loss caused by power                                         statistics to be calculated without  using a 
                      purpose.             A  plan  also  prevents  the                                 failure  or  other  mechanical  difficulty.                                      statistical analysis program.  Investigators 
                      process of doing repeated analyses until                                          The  investigator                    needs  to  mark  the                        needing  a sophisticated statistical analy- 
                      something  is found  that  is statistically                                       disk(s) carefully so that  the most recent                                       sis may need more  power  than  is avail- 
                      significant. A post hoc (after the fact) ap                                       disk is used for  the next  data entry  ses-                                     able with  a spreadsheet. However, statis 
                      preach  to  statistical analysis is inappro-                                      sion.  Data  can be inadvertently  lost  if                                      tical programs such as SPSS for windows 
                      priate  and increases the  chance of mak-                                         some subjects are entered  on one disk                                           provide a spreadsheet-type data entry for- 
                      ing a type I statistical error (see following                                     and the  next  set of subjects added  to a                                       mat that then  allows complex data analy- 
                      section on hypothesis testing for  discus                                         backup that  does not contain a complete                                         sis using SPSS.3 
                      sion of type I errors). If post hoc analyses                                      set of data.                                                                           A final method  for data entry is enter- 
                      are used, a technique  such as Bonferroni                                               Data backups should be made at the                                         ing data directly into a flat text file. This 
                      adjustment  is needed  to  decrease  the                                          end  of each day and can consist of the                                          type  of data  entry  is demonstrated                                   in 
                      chance of a type 1 error.2                                                        entire  computer  system or of individual                                        Table  1. The  main advantage of flat files 
                            Before beginning  a study, the investi-                                     data files for  the  study. Backups can be                                       is the speed of data entry.  A competent 
                      gator  also should  know  what  computer                                          made onto  tapes or  onto  floppy  disks.                                        typist  can  enter  data  quickly  because 
                      hardware  and what  statistical and  data                                        The  best  backup  plan  will  provide  for                                       few if any characters need to be typed be 
                      entry software are available for data entry                                       storage of backup tapes at a site remote                                         tween variables. Spaces are left occasion- 
                      and  data  analysis.  The  investigator                                           from  the  location  of the  original  data.                                     ally to allow the eye to follow columns of 
                      should know the capabilities of the statis                                       This plan will protect  against major loss                                        values, but  the  spaces are much  fewer 
                      tics program  to  be used and should  de-                                         of data in  case of fire  or  other  disaster                                    than  needed to enter  data into a spread- 
                      termine  whether  his or her  computer  is                                        that  might  destroy  data  residing  in  a                                      sheet. The  disadvantage of this method 
                      powerful  enough  to  run  the  planned                                           desk, as well as on the computer itself.                                         of data entry is that  it is easier to make a 
                      analyses. The  investigator  should  not                                                                                                                           mistake.  Numbers  once entered  are not 
                      plan for  analyses that  he or she has no                                        Data  entry                                                                       associated directly with  a variable name. 
                      way of conducting.  The investigator also                                         Data can be entered into a computer file                                         Consequently,                  finding  errors  in  data 
                      should  spend  time  during  the  early                                          for  analysis using  one  of  several data                                        entry may be more difficult. 
                      phases of the  project becoming  familiar                                         entry  methods.  Although  not  common                                                 Data coding is the  process of assign- 
                      with  the  statistical package to be used.                                       with  air medical  research,  data  can be                                        ing  a numerical value to a qualitative re 
                      Data analysis will proceed more smooth-                                           collected on forms that are automatically                                        sponse.  For  example,  an investigator 
                      ly if  the  investigator  does not  need  to                                      read into a computer data file. Because of                                       may ask for the professional background 
                      stop and ask for technical assistance.                                           the  expense involved, this is not  a com-                                        of  a transport  team  member.  The  re- 
                                                                                                       mon method for data entry.                                                        sponses may be physician,  nurse,  para- 
                      Data  Management                                                                       A second method  entails the develop                                        medic,  respiratory  therapist,  pilot,  or 
                      Data  Storage                                                                    ment  of a computerized data entry form                                           other. To facilitate the statistical analysis 
                      Data,  once collected,  should  be stored                                        that  resembles  the  original  form  onto                                        and to save space in the data file, the in- 
                      carefully to prevent damage or violations                                        which  the  data  is hand  written  by the                                        vestigator may assign a numerical value 
                      of subject privacy. Having a plan for orga-                                       data collector or subject. This method  is                                       to  each possible response  such that  all 
                      nizing the data before data collection be                                        user friendly  because the  screen resem-                                         physicians would  be 0, all nurses  1, all 
                      gins is also advisable. A commonly  used                                         bles the paper form and generally is easy                                         paramedics 2, all respiratory therapists 3, 
                      method  is  manila  file  folders.                                Data           to understand. In  addition, the  individual                                      all pilots  4, and all others  5. Although 
                      should  be  sorted  into  appropriate  file                                      entering  data can see that  the  data they                                       numbers  are easier to deal with,  the  in- 
                      folders and placed into a locked file cabi-                                      are entering  matches the  variable name                                          vestigator must be careful that he or she 
                      net.  If  data is not  to  be entered  into  a                                   on the screen. The  disadvantages of this                                         does not  attribute  ordinal  or ratio  level 
                      computer  file  but  will  be tabulated  by                                      method  are that  data entry takes longer                                         characteristics  to  data  that  were  origi- 
                      hand, it is advisable to make a complete                                         because  the  enter,  tab,  or  arrow  key                                        nally nominal in nature.  For example,  a 
                      copy of the data and then store the com-                                         must be pressed with  each data element                                           correlation requires that the level of mea- 
                      plete copy at another site.                                                      and time  is needed to create and debug                                           surement  for both  of the  variables be at 
                            Security of data remains an issue even                                     the input form.                                                                   the  interval  or  ratio  level of measure- 
                      after data is stored within  a computer file.                                          Data also can be directly entered onto                                      ment.  Coding  profession as a numerical 
                      The investigator  must ensure that  unau-                                        a spreadsheet.  With  spreadsheet  data                                           value does not then allow the investigator 
                      thorized  access to the files is not  possi-                                     entry  the  names  of  the  variables  are                                        to  do correlations  between  profession 
                      ble. Data files need to be stored in a com-                                      placed across the top row and the individ-                                        and another variable. The  dam remain at 
                     74                                                                                                                                                               April-June          1996        15:2       Air   Medical         Journal 
                    the nominal level and thus are inappropri- 
                    ate for inclusion in a correlation analysis.                                     p!Kt File  Data  Entry                                                                  Misaligned                  Data  Indicating 
                          Data transformation  is a variation  of                                                                                                                                         Data  Entry  Error 
                    data coding and is the process of chang- 
                    ing  the  numerical  representation                                  of  a                 101120195                3455            11122012                                   101120195             3455         11122012 
                    quantitative value to another  value. Data                                                 102120395                3545            11021121                                   1022120395               3545        11021121* 
                    can be changed to reflect a new measure                                                    103120695                4443            01011022                                   103120695             4443         01011022 
                    ment  scale or to make  alterations in the                                                 104121095                3343            10112222                                   104121095             3343         10112222 
                    distribution             of the  data.  For  example,                                                                                                                 ‘The  longer  line is  because  an extra  2 was  entered  with 
                                                                                                                                                                                          the  subject  number  of  102 In the  first  three  columns. 
                    data on neonate weight  may be obtained 
                    in grams. However, if older subjects also 
                    are included  in the  dataset, the  neonate                                                     Population 
                    weights may need to be transformed  into                                                                    Group1                                                                Group2 
                    kilograms from  the original grams. In the                                                                  polxpolxpolx                                                          polxpolxpolx 
                    case of  family  income  level an uneven                                                                    polxpolxpolx                                                          polxpolxpolx 
                    distribution  of subjects is usually found                                                                  polxpolxpolx                                                          polxpolxpolx 
                    at the  low end of the  scale. Economists 
                    often use a logarithmic  transformation  so                                                     Sample 
                    that the data are more evenly distributed.                                                                 Growl                                                                  Group2 
                    If  the  income  data are reduced  to their                                                                 PXPl                                                                  poxl 
                    logarithmic  value, the high  incomes are                                                                   POPX                                                                  PP      XI 
                    brought  closer to  the  lower  end  of the                                                                PPlO                                                                   00     xl 
                    scale and provide a distribution  closer to                                                                                                                                                                                                    , 
                    a normal curve. 
                          Physically coding the  data can be ac-  been made. The primary  disadvantage of                                                                              believing  that  their  data entry  was ade- 
                    complished  by one of  several methods.                                          this method  is the increased time needed                                         quate  and  that  obvious  errors  can  be 
                    Some researchers  like to  evaluate each                                         for  data entry.  Another  disadvantage  is                                       found with other methods. 
                    data  collection  form  before  data entry                                       that  commonly the  same mistake will be                                                A final method for data checking is to 
                    and place the  appropriate  code next  to                                        made twice, thus concealing the mistake.                                          obtain  a frequency  distribution  for  all 
                    the response on the  form.  Others prefer                                              Another method for cleaning data as it                                      variables. The  investigator can check for 
                    to put  the  appropriate  code on the  data                                      is entered is by using controls in the data                                       obvious errors by comparing the data ob 
                    collection  form  before  distribution                                 so        entry  program.  If a form  is constructed                                        tained  with  the  data  that  should  have 
                    that the code can be read from  the form                                         for  use with  data entry,  value checking                                        been obtained. For example, if gender is 
                    at the  time  of data entry. A final way to                                      rules can be created. Once a rule is cre                                          coded  as 0 for males and 1 for females, 
                    code data is to have a separate code book                                        ated, the computer will check all data en-                                        no 2’s or 3’s should appear for the value 
                    and to use this as a reference during  data                                      tered  into that  field to make sure that it                                      of gender.  If the  frequency  distribution 
                    entry  into  the  computer.                             The  first               meets the established criteria.                                                   shows an erroneous value, the investiga- 
                    method  requires two passes through  the                                               Other  methods  of  data  cleaning  in-                                     tor  can search the  data set for  the erro- 
                    data collection forms.  Consequently, one                                        clude a variety of ways for examining the                                         neous value, find the subject number  for 
                    of the  later two approaches often  is pre-                                      raw data after computer  entry. The  first                                        the  subject  where  the  error  was made, 
                   ferred.  If  the investigator  does not wish                                      approach is to use the appearance of the                                          find the correct value on the original data 
                   the  subject  to  be  aware  of the  coding                                       data.  One  of the  most  common  errors                                          collection form, and reenter the data. 
                    scheme or does not have room  for  it on                                         with  data entry  is skipping  variables or 
                   the  data collection  form,  the  last option                                     double entry of a value. If periodic spaces                                       Statistical  Analysis 
                   may be the best.                                                                  are  planned  into  data  entry,  either  of                                      Overview 
                                                                                                     these  errors  will cause the  data to  be-                                       Understanding  the  concepts of a statisti- 
                   Data  cleaning                                                                    come misaligned (Table 2).                                                        cal analysis before  actually running  any 
                   Data  entered  into  the  computer  will in-                                            The  method  of  data  cleaning  that                                       statistical tests is extremely  important. 
                   evitably contain mistakes. Data cleaning                                          catches  most  errors  is the  process  of                                        On a basic level, statistics (specifically in- 
                   is the process of trying to find errors and                                       reading the data back. With  this method                                          ferential          statistics)  try  to  determine 
                   to correct them before data analysis. Sev-                                        one investigator reads the  data elements                                         whether  a difference exists between mea- 
                   eral  techniques  can be  used  for  data                                         from  the data entry form  and the second                                         sured values and how  confident you can 
                   cleaning.                                                                         checks the values entered  by reading  a                                          be that the diierence  is, in fact, a real dii 
                         Programs are available that allow the                                       copy of the data file. Inconsistencies be-                                        ference. The measured values for a study 
                   investigator to enter  the  data twice. The                                       tween  what  the  data should  be and the                                         are  derived  from  a sample,  which  is 
                   computer  then  checks  for  inconsisten-                                         data that  was entered  become  obvious                                           some subset of a population.4 Statistical 
                   cies between the two sets of data and no-                                         and errors can be corrected. Some inves                                           tests can be used to determine  whether 
                   tifies  the  individual  that  a mistake  has                                     tigators  elect not  to  read the  data back                                      the  sample is representative  of the  total 
                   Air    Medical        Journal           15:2      April-June          1996                                                                                                                                                                 75 
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...Univuniversity of nebrersity nebraska medical center aska digitalcommons unmc journal articles college nursing basics rbasics researesearch pch parart quantitativt quantitative data analysis e cheryl thompson university cbthompson edu robert schwartz pittsburgh eric davis strong memorial hospital edward a panacek california follow this and additional works at https con part the commons recommended citation research article is brought to you for free open access by it has been accepted inclusion in an authorized administrator more information please contact special communication bagley phd rn cs md mph p acek mdd utah salt introduction should consider statistician impor lake city can do early or late tant consultant collaborator department emergency medicine cen but eventually all investigators using avail himself herself sta ter injury control uni methods have deal with tistician s expertise versity pitts statistical purpose help diminish stress statis burgh pennsylvania series tical c...

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