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Here we are the last publication derived of Lucia Ceja's doctoral thesis. We have tested how a cusp catastrophe model explains significantly better the fit between challenge and skill as a determinant of flow experiences than their counterpart linear model. This publicatio can serve as a model to apply to other areas. Moreover, the assumption of the qualitative leap that means entering flow (or exit) is now evidenced.
Abstract
Work-related flow is defined as a sudden 
and enjoyable merging of action and awareness that represents a peak 
experience in
                     the daily lives of workers. Employees’ perceptions 
of challenge and skill and their subjective experiences in terms of 
enjoyment,
                     interest and absorption were measured using the 
experience sampling method, yielding a total of 6981 observations from a
 sample
                     of 60 employees. Linear and nonlinear approaches 
were applied in order to model both continuous and sudden changes. 
According
                     to the R2, AICc and BIC 
indexes, the nonlinear dynamical systems model (i.e. cusp catastrophe 
model) fit the data better than the linear
                     and logistic regression models. Likewise, the cusp 
catastrophe model appears to be especially powerful for modelling those
                     cases of high levels of flow. Overall, flow 
represents a nonequilibrium condition that combines continuous and 
abrupt changes
                     across time. Research and intervention efforts 
concerned with this process should focus on the variable of challenge, 
which,
                     according to our study, appears to play a key role 
in the abrupt changes observed in work-related flow.
                  
http://hum.sagepub.com/content/early/2012/06/06/0018726712447116.full.pdf+html
 
 
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