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SUMMARY	
  OF	
  MY	
  DOCTORATE	
  THESIS	
  AND	
  CELLULAR	
  AUTOMATON	
  
MODEL	
  –	
  RUBENS	
  ZIMBRES	
  
rubens.zimbres@eclipso.de	
  
	
  
This document is a brief explanation of the steps of my Doctorate thesis. Samples of
results are given. The Cellular automaton model is presented.
The	
  thesis	
  is	
  available	
  here:	
  
http://pt.slideshare.net/RubensZimbres/thesisrubens-­‐zimbres	
  
	
  
In	
  my	
  doctorate	
  thesis	
  I	
  studied	
  4	
  constructs:	
  role	
  clarity,	
  involvement,	
  service	
  
quality	
  and	
  behavioral	
  intentions	
  in	
  the	
  following	
  nomological	
  network.	
  The	
  
research	
  was	
  diadic	
  and	
  dynamic,	
  made	
  with	
  clients	
  and	
  service	
  providers.	
  
	
  
	
  
	
  
	
  
For	
  each	
  one	
  of	
  the	
  constructs,	
  I	
  did	
  a	
  comprehensive	
  research	
  where	
  knowledge	
  
acquired	
  was	
  inserted	
  in	
  a	
  matrix,	
  as	
  seen	
  next	
  page.	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
 
	
  
	
  
Then,	
  indicators	
  cited	
  in	
  literature	
  were	
  placed	
  in	
  another	
  matrix,	
  correlating	
  
authors.	
  
	
  
	
  
	
  
	
  
	
  
	
  
 
Then,	
  the	
  research	
  phases	
  are	
  presented.	
  
	
  
	
  
	
  
	
  
	
  
After	
  that,	
  I	
  did	
  qualitative	
  interviews	
  to	
  develop	
  the	
  pre-­‐test	
  questionnaire.	
  
Interviews	
  were	
  transcripted,	
  contente	
  analysis	
  was	
  done,	
  compared	
  to	
  
literature	
  and	
  quantitative	
  pre-­‐test	
  questionnaire	
  was	
  developed.	
  Then	
  I	
  did	
  a	
  
statistical	
  analysis	
  and	
  I	
  finally	
  had	
  the	
  quantitative	
  questionnaire,	
  below.	
  An	
  
ordinal	
  scale	
  of	
  5	
  options	
  was	
  chosen	
  to	
  allow	
  respondents	
  to	
  have	
  a	
  neutral	
  
opinion,	
  without	
  being	
  forced	
  to	
  choose	
  between	
  two	
  opposites,	
  what	
  happens	
  in	
  
a	
  scale	
  with	
  6	
  options.	
  Next	
  page	
  there	
  is	
  a	
  small	
  part	
  of	
  the	
  questionnaire.	
  
	
  
	
  
	
  
 
	
  
	
  
A	
  comprehensive	
  statistical	
  analysis	
  was	
  done.	
  Here	
  are	
  some	
  results:	
  
	
  
Graphic:	
  Time	
  as	
  a	
  cliente	
  of	
  the	
  servisse	
  provider	
  
	
  
	
  
	
  
 
A	
  descriptive	
  analysis	
  was	
  done:	
  
	
  
	
  
	
  
	
  
	
  
Normality	
  tests	
  were	
  done:	
  
	
  
	
  
Also,	
  collinearity	
  tests	
  were	
  done:	
  
	
  
 
Correlations	
  with	
  factor	
  1	
  and	
  2	
  
	
  
	
  
	
  
	
  
Factor	
  analysis	
  and	
  Cronbach's	
  Alpha	
  (for	
  clients).	
  
	
  
	
  
	
  
And	
  the	
  regression	
  model,	
  with	
  principal	
  components:	
  
 
Finally,	
  the	
  cellular	
  automaton	
  model	
  was	
  developed	
  to	
  simulate	
  interactions	
  
between	
  clients	
  and	
  service	
  providers.	
  I	
  did	
  two	
  quantitative	
  researches	
  with	
  
interval	
  of	
  4	
  months.	
  Research	
  A	
  and	
  B.	
  My	
  idea	
  was	
  to	
  find	
  a	
  cellular	
  automaton	
  
that	
  could	
  be	
  applied	
  to	
  research	
  A	
  (first)	
  and	
  generate	
  an	
  outcome	
  of	
  the	
  
simulation	
  similar	
  to	
  research	
  B	
  (second,	
  after	
  4	
  months).	
  
	
  
	
  
	
  
	
  
 
	
  
I	
  had	
  to	
  find	
  a	
  rule	
  in	
  a	
  space	
  of	
  1	
  in	
  10	
  to	
  the	
  power	
  of	
  80	
  possibilities.	
  This	
  
would	
  take	
  more	
  than	
  200	
  years	
  with	
  a	
  regular	
  computer,	
  so	
  I	
  did	
  a	
  randomly	
  
guided	
  search.	
  The	
  cellular	
  automaton	
  is	
  a	
  tool	
  where	
  you	
  have	
  three	
  cells.	
  The	
  
center	
  cell	
  is	
  updated	
  according	
  to	
  the	
  opinion	
  of	
  the	
  cells	
  on	
  the	
  left	
  and	
  on	
  the	
  
right.	
  Each	
  CA	
  rule	
  generate	
  on	
  specific	
  outcome.
	
  
	
  
	
  
	
  
 
	
  
	
  
Next	
  page,	
  the	
  cellular	
  automaton	
  model	
  workflow:	
  
	
  
 
	
  
	
  
The	
  accuracy	
  of	
  the	
  cellular	
  automaton	
  model	
  to	
  simulate	
  interactions	
  was	
  
73.80%	
  case	
  by	
  case	
  and	
  99%	
  considering	
  mean	
  of	
  indicators.	
  This	
  is	
  greater	
  
than	
  any	
  linear	
  regression	
  found	
  in	
  service	
  quality	
  literature.	
  
	
  
	
  	
  
	
  
	
  
 
	
  	
  
	
  
	
  
	
  
	
  
	
  
 

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  • 1. SUMMARY  OF  MY  DOCTORATE  THESIS  AND  CELLULAR  AUTOMATON   MODEL  –  RUBENS  ZIMBRES   rubens.zimbres@eclipso.de     This document is a brief explanation of the steps of my Doctorate thesis. Samples of results are given. The Cellular automaton model is presented. The  thesis  is  available  here:   http://pt.slideshare.net/RubensZimbres/thesisrubens-­‐zimbres     In  my  doctorate  thesis  I  studied  4  constructs:  role  clarity,  involvement,  service   quality  and  behavioral  intentions  in  the  following  nomological  network.  The   research  was  diadic  and  dynamic,  made  with  clients  and  service  providers.           For  each  one  of  the  constructs,  I  did  a  comprehensive  research  where  knowledge   acquired  was  inserted  in  a  matrix,  as  seen  next  page.                  
  • 2.       Then,  indicators  cited  in  literature  were  placed  in  another  matrix,  correlating   authors.              
  • 3.   Then,  the  research  phases  are  presented.             After  that,  I  did  qualitative  interviews  to  develop  the  pre-­‐test  questionnaire.   Interviews  were  transcripted,  contente  analysis  was  done,  compared  to   literature  and  quantitative  pre-­‐test  questionnaire  was  developed.  Then  I  did  a   statistical  analysis  and  I  finally  had  the  quantitative  questionnaire,  below.  An   ordinal  scale  of  5  options  was  chosen  to  allow  respondents  to  have  a  neutral   opinion,  without  being  forced  to  choose  between  two  opposites,  what  happens  in   a  scale  with  6  options.  Next  page  there  is  a  small  part  of  the  questionnaire.        
  • 4.       A  comprehensive  statistical  analysis  was  done.  Here  are  some  results:     Graphic:  Time  as  a  cliente  of  the  servisse  provider        
  • 5.   A  descriptive  analysis  was  done:             Normality  tests  were  done:       Also,  collinearity  tests  were  done:    
  • 6.   Correlations  with  factor  1  and  2           Factor  analysis  and  Cronbach's  Alpha  (for  clients).         And  the  regression  model,  with  principal  components:  
  • 7.   Finally,  the  cellular  automaton  model  was  developed  to  simulate  interactions   between  clients  and  service  providers.  I  did  two  quantitative  researches  with   interval  of  4  months.  Research  A  and  B.  My  idea  was  to  find  a  cellular  automaton   that  could  be  applied  to  research  A  (first)  and  generate  an  outcome  of  the   simulation  similar  to  research  B  (second,  after  4  months).          
  • 8.     I  had  to  find  a  rule  in  a  space  of  1  in  10  to  the  power  of  80  possibilities.  This   would  take  more  than  200  years  with  a  regular  computer,  so  I  did  a  randomly   guided  search.  The  cellular  automaton  is  a  tool  where  you  have  three  cells.  The   center  cell  is  updated  according  to  the  opinion  of  the  cells  on  the  left  and  on  the   right.  Each  CA  rule  generate  on  specific  outcome.        
  • 9.       Next  page,  the  cellular  automaton  model  workflow:    
  • 10.       The  accuracy  of  the  cellular  automaton  model  to  simulate  interactions  was   73.80%  case  by  case  and  99%  considering  mean  of  indicators.  This  is  greater   than  any  linear  regression  found  in  service  quality  literature.            
  • 11.                
  • 12.