What are the benefits and limitations of mathematical modeling? Do you employ mathematical modeling in your profession? If so, is such modeling used as value-added to other kinds of empirical research, or is it used in place of other kinds of empirical research?
The benefits would include the fact that a mathematical model is systematic, results can be repeated, and the model can be refined. This would be in contrast to prediction systems based on emotion or "soft" events such as observation of human behavior.?Whereas, the limitations would be difficulty in building a complete model of real processes due to lack of available data. Computational complexity would be another possible limitation - a model sufficiently accurate may require enormous computer power, e.g. weather forecasting …show more content…
Grounded theory is a method in which observable data is used to inductively generate a theory based on the representative data set rather than using deduction, whereby a theory is tested and validated based on scientific data.6,7 Creswell relies on Strauss and Corbin (1990) to provide the steps required to code data in the research process. Open coding begins by developing major themes based on data inputs and transitions to axial coding which focuses on the core phenomena at the heart of the research. Furthermore, Creswell notes that as data is collected categories of data emerge consisting of ?causal conditions, strategies, contextual and interviewing conditions, and consequences.? 8 Creswell does point out that coding data can sometimes include pre-existing (a priori), emerging codes, or unique codes.9 Finally, the last step within the coding process is selective coding, whereby the researcher reviews the data and develops a theoretical model developing hypotheses surrounding the core research question. This theory is delivered narratively, visually or through a series of supported propositions.10
In Klandermans and Staggenbourg?s edited text, a variety of concepts on coding within social research are covered. Although less extensive notes on coding are provided, similar ground is covered. During the interview process, echoing Creswell,