# Introduction To Quantitative Methods

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In the social sciences, quantitative research refers to the systematic empirical investigation of social phenomena via statistical, mathematical or computational techniques. The objective of quantitative research is to develop and employ mathematical models, theories and/or hypotheses pertaining to phenomena. The process of measurement is central to quantitative research because it provides the fundamental connection between empirical observation and mathematical expression of quantitative relationships. Quantitative research is used widely in social sciences such as psychology, economics, Sociology, and Political science. In the social sciences, the term relates to empirical methods, originating in both philosophical positivism and the history of statistics, which contrast qualitative research methods. Qualitative methods produce information only on the particular cases studied, and any more general conclusions are only hypotheses. Quantitative methods can be used to verify, which of such hypotheses are true.

This subject gives an introduction to key ideas underlying statistical and quantitative reasoning. The topics covered are methods for organizing, summarizing and displaying data; elements of sample surveys, experimental design and observational studies; methods of parameter estimation and hypothesis testing in one- and two-sample problems; regression with one or more predictors; correlation; and analysis of variance. It also explores applications in a wide range of fields, including the social and political sciences, medical research, and business and economics. Quantitative methods in psychology emphasizes on concepts and practice of statistics used in psychology and other social and behavioral sciences. Topics covered are describing center and variability; probability and sampling distributions; estimation and hypothesis testing for comparing means and comparing proportions; contingency tables; correlation and regression; multiple regression; analysis of variance. Emphasis on translation of research questions into statistically testable hypotheses and models, and interpretation of results in context. Similarly quantitative methods are also put to use in the field of economics which emphasizes on applications including economics, health sciences and policy analysis. In finance also quantitative methods have a important role to play as it introduces stochastic analysis tools to be used as a basis for developing continuous-time asset pricing theory. Various quantitative methods are widely used in the financial industry for valuing derivative products like binomial-tree valuation methods, extensions of the Black-Scholes option pricing formula, numerical techniques for solving partial differential equations, and Monte Carlo simulations.

This subject also provides an insight into the modern financial derivative markets and the probabilistic and statistical techniques used to navigate them. Methodology is largely be motivated by real problems from the financial industry. Topics include: interest-rates; forward and futures contracts; option markets and probabilistic valuation methods; interest-rate derivatives and structured notes; electronic trading and performance evaluation.

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