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CPS1922 Imran K. et al.


                               Errors of the fourth kind - A click away…key lies
                                          in statistical collaboration
                                                     1
                                                                    2
                                          Imran Khan ; Eric A. Vance
                    1 Sher-e-Kashmir University of Agricultural Sciences and Technology of Kashmir, Srinagar,
                                             Jammu and Kashmir, India
                                         2 University of Colorado Boulder, USA

                  Abstract
                  Statistical  software  is  nowadays  widely  available  to  researchers  not  well-
                  trained in statistical analysis and therefore is often used recklessly and blindly.
                  These researchers may commit errors in their research, simply with a click of
                  the mouse, which we call “Errors of the fourth kind” or “Type IV errors.” Such
                  errors give the wrong answer to the right research question and have been
                  observed  by  the  authors  while  examining  research  problems  in  other
                  disciplines. Errors of the fourth kind can spring from poor statistical know-how
                  among researchers while using statistical software on their research data and
                  lead to erroneous results and incorrect conclusions. Statistical collaborators
                  seek  to  help  researchers  to  answer  their  research  questions  correctly  by
                  applying the right statistical tool to the right problem in the right manner. This
                  paper  highlights  six  case  studies  from  the  literature  and  the  authors’
                  experience that show how Type IV errors were committed and how they could
                  have been avoided through improved statistical collaboration.

                  Keywords
                  errors; software; collaboration

                  1.   Introduction
                      Observations are innocent and, we should avoid torturing them. To play
                  with observations, by using a friendly software in a friendly way can prove
                  dangerous, without proper knowledge of statistics. Many of the scientists who
                  use designed experiments in their research have had little or no exposure to
                  more than elementary statistical methods. The exposure they have had has
                  been concerned largely with the process of applying statistical techniques in
                  the analysis of data. Little attention has been paid to the consideration of what
                  the  data  can  tell  the  scientist  about  whether  the  experiment  has  met  its
                  objectives or about what the results really mean  within the context of the
                  problem. As a consequence, too often the data are subject to procedures with
                  which the scientist is familiar, whether they are appropriate are not (Petersen
                  1985). This is particularly true of pair wise multiple comparison procedures,
                  which are frequently used in situations where they are entirely inappropriate
                  (Petersen 1977).

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