This course will enable students to understand and know the theoretical and practical approach of Research Methodology, Statistical Methods, Errors in Observation & calculations, Numerical Methods and Statistical Softwares.
Research: Meaning, Definition, Methodology, Research process, Criterion of good research
Types of Research: Fundamental or Basic, Applied, Historical, Descriptive, Analytical quantitative, qualitative, Conceptual Experimental, Case study
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. Report writing: Types, Format
Defining concepts, objectives, basic assumptions, delimitations and limitations of the problem, Statement of Hypothesis.
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
Probability: Basic Aspects, types, total and compound probability, Baye’s theorem
Statistical Methods: Measures of Central tendency and measures of dispersion
Regression and Correlation: Least square method of fitting a regression line, correlation coefficient (Karl Pearson and Rank).
Common Distribution functions: Binomial probability distribution, Poisson distribution and normal distribution.
Errors in Experiments: Errors in observations: random errors, systematic errors; Normal law of errors; Average error, Standard error and probable error; significant figures; percentage error. p-value, critical region, types of error.
Reliability of test scores: Concept, test retest method, parallel forms method, split half method. Validity of test scores: Concept, method of determination. Effect of length and range of test. Comparisons between reliability and validity.
Introduction to SPSS: Data entry, descriptive statistics, data analysis using chi-square, t and F test, one way and two way ANOVA, reliability and validity of questionnaire
Introduction of R: Data types, operators, Plot a graph, descriptive statistics, correlation, regression and fitting of population distributions.
Books Recommended/ Reference Books: