This course will enable students to understand and known research methodology, statistical methods, errors in observation & calculations and numerical methods.
12.00
Unit I:
Theory
Research: Meaning, definition, methodology, research process, criterion of good research
Objectives of research and role of research method in fabric and apparel science
Types of Research: Qualitative and quantitative research, historical, survey, ex post facto, field study, intervention study, experimental, case study, social research, longitudinal and cross sectional studies etc
Research design - Meaning, concepts, need, designs for different types of research; library, laboratory and field research; advantages of designing research
Research problem and developing research proposal: Selection of research area and topic, statement of the research problem, its scope, steps involved in defining the problem. Literature Search: Reviewing related literature, referencing, abstracting, computer search, bibliography, evaluation of the problem.
Defining concepts, objectives, basic assumptions, delimitations and limitations of the problem, statement of hypothesis.
12.00
Variables: Independent and dependent variables, qualitative and quantitative variables, discrete and continuous variables, confounding variables, methods of controlling variables. Measurement of variables.
Sampling: Meaning, characteristics of a good sample design, steps in sampling design, types, advantages
Techniques of data collection: Primary data; Questionnaire, schedules, interview observation & other methods. Secondary data: reliability, suitability & adequacy of data.
Processing and analysis of data: Processing operations: Editing & coding, classification and tabulation of data, elements of data analysis, role of statistics in data analysis. Statistical tables
Report writing: Types, format
12.00
Introduction to statistics- Descriptive and inferential statistics
Basic principles of statistical procedures- Measurements, analysis and interpretation
Measurement and computation: quality and quantity
Scales of measurement: nominal, ordinal, interval, and ratio. Reliability, validity, specificity and sensitivity of tools
Descriptive statistics: central tendencies: mean, mode, median. Variability, range, semi-interquartile range, standard deviation and variance
Application and uses of descriptive statistics
Organization and presentation of data: coding and tabulation, frequency distribution, graphic representation: graphs diagram and charts
Characteristics of a distribution: skewness and kurtosis
Percentages and frequencies, uses and applications: percentile ranks
12.00
Statistical tests-Probability and normal distribution: basic principles and applications of probability
Testing hypotheses, level of significance and estimations
Errors of estimation: type 1, type 2
Sampling theory, method and errors
Z scores and its uses
12.00
Parametric tests of difference: T and ANOVA, post-hoc analysis of significance.
Parametric tests of association: Pearson’s r
Non- parametric tests of difference: Mann- Whitney, sign, median and Kruskal- Wallis
Non- parametric tests of association: Spearman’s r
Chi- square test
Regression and prediction
Essential Readings:
Agarwal, J.C. (1989) Educational Research – An Introduction, New Delhi: Arya Book Depot.
Agrawal, B.L., Basic statistics, New Delhi: New Age publishers.
Ahuja Ram (2006) Research Methods, Jaipur: Rawat Publication
Kothari, C.R. (1989) Research Methodology: Methods and Techniques, Bangalore: Wiley Eastern.
Young, P.V., (1988) Scientific Social Surveys & Research, New Delhi: Prentice Hall of India.
Yule, G.V. and Kendall, M.G., An Introduction to the theory of statistics.
References:
Anderson T.W. An Introduction to Multivariate Statistical Analysis, New Delhi: Wiley Eastern Publication Ltd.
Best John W. and Kahn, James V. (2006) Research in Education, NEW Delhi: Prentice Hall of India.
Bjorck A., Numerical Methods for Least Squares.
Bose, Pradip Kumar (1995) Research Methodology, New Delhi:ICSSR
Braun, Robert, Introduction to Instrumental analysis; Mc. Graw Hill.
Burns, Robert B. (2000) Introduction to Research Methods, New Delhi; Sage publications.
Chandra, S.S. and Sharma, R.K., Research in Education, New Delhi: Atlantis Publishers.
E., Balagurusamy, Numerical Methods, Tata Mc. Graw Hill.
Gerald, Applied Numerical Analysis, Addison Wesley Publishing Company
Gourdin, Applied Numerical method, Prentice Hall of India
Hagood, M.J. and Price, D.O., Theory of sampling.
Hamming Richard, Numerical Methods for Scientists and Engineers.
Hare, Anthony O, Numerical Methods for Physicists.
Jain M.K., and Iyengar, Numerical methods problems and solutions, New Age International Ltd.
Minium, E.W. King, B. M. and Bear, G. (1995)Statistical Reasoning in Psychology & Education, New York, John Wiley & Sons.
Peatman, J.G., Descriptive and sampling Statistics.
Prakash, S .(2006) Theory of Sampling, Xeroxa: BIMTECH.
Reddy, C.R., Research Methodology in social sciences, New Delhi: Daya Publishing House.
Sarvavanavel, P. (2003) Research Methodology, Allahabad; Kitab Mahal.
Saxena H.C., Finite difference and numerical analysis, New Delhi, S Chand & Co.
Shanlla K.R. (2002) Research Methodology, New Delhi: National Publishing House.