advantages of using quantitative research methods over the other methods while if one uses qualitative methods enriches more his/her work and if uses mixed methods is able to avoid bias
As Jesus has mentioned, the choice of methodology should be driven by the research question. As per the broader issue regarding the prevalence of quantitative methods, this has very much to do with the history of science. This used to be the only way to do science, so underpins much of the training in graduate programs internationally. As new paradigms and associated methodologies have evolved, we have seen much more qualitative research as well.
It is easy to analyze the factors and come up with a significant result. Apart from that quantitative research is clear to define. However, qualitative research needs more precise article review and linguistic capacity to elaborate.
The primary reason that researchers prefer quantitative methods to qualitative methods relates to genealizability. Many researchers view qualitative research as basically emprically documenting anecdotal evidence (not always a fair critique, but sometimes it can be), which means it only shows that a few people are reporting a particular experience. Qualitative research usually requires very specific groups of participants, which can further reinforce that problem - unless the reseach qiestion is best answered by a qualitative approach. Conversely, with a large sample size, quantitative methods demonstrate that a theory is supported for many different groups of people (hopefully a representative sample).
I think there is an increased interest in mixed methods research, since it can enrich quantitative data. However, I’m not sure that researchers in most social sciences are as well trained in how to conduct or employ qualitative research methods. I suspect this leads to neglecting mixed methods approaches, which are by definition going to be more difficult to interpret and harder to assess for methodological rigor (the “rules” are less clear). Finally, there is a general bias toward quantitative methods (frankly, they are easier, and you can mine the data for more publications more quickly), which makes it easier to fet twnure and build an academic reputation/line of research. So there are some non-scientific reasons for quantitative research as well.
I agree with Abe Oudshoorn that much of the balance between qualitative, quantitative, and mixed methods is historical. Beyond his example of training, it think it also has to do with opportunities for funding and publication. In my home field of sociology, almost all the grants go to quantitative research and some of the major journals publish almost nothing but quantitative articles (despite claims that they cover the entire field).
So, I think that the frequently heard claim that one's methods should depend on one's question is not enough. Every researcher has many choices about which questions to ask, and often which methods to use for any given question, and there are many historical and cultural factors that affect such choices. So the technical linkage of questions and methods only occurs as the very end of a long process that is subject to social influences at every step of the way.
I have covered the advantages and challenges of quantitative and qualitative methods in my free eBook on Research Methods
https://works.bepress.com/tlbrink
Here are the reasons why most of my students opt for quantitative research (and that is what I advise them to do).
1. Unless you are doing a longitudinal study, it is just much quicker to gather the data, do the calculations, and write it up. Especially in this era of big data, I can download an Excel file (Google Sheets is better), upload into JASP or an R program, and follow a formulaic write up.
2. Most conferences and journals still prefer a quantitative study (with no significant results) to a profound qualitative study
What do I prefer to read or hear about at a conference: qualitative.
What do I think my most profound research was: qualitative.
What do I hope the future will do more of: qualitative.
As your question says "usinig" can be considered as "using". This could prevent from quantitative studies as we do not detect themes (quantitative studies) that lead to the wrong interpretation in the qualitative studies. Just try to convince you, it would be your typing error.