Group A (Marks: 30)
(Related Course - STAT-203: Regression Analysis)
This course focuses on building a greater understanding, theoretical underpinning, and tools for applying the linear regression model and its generalizations.
Course Objectives:
The objectives of this course are to:
• Estimate the regression parameter by using appropriate methods and fit a regression line.
• Use different model selection criteria to choose the appropriate model.
• Test the significance of regression coefficients and then find confidence intervals for these coefficients.
• Detect outliers by using appropriate methods.
Learning Outcomes:
After successful completion of this course, students will be able to:
• Fit a regression line after estimating the parameters and interpret the results perfectly.
• Predict future values by using the fitted model.
• Choose the appropriate model by using different model selection criteria.
• Determine significant regression coefficients and find the confidence interval for these coefficients.
Contents:
• Fitting of simple regression, correlation coefficient, different model selection criteria.
• Determination of intra-class and inter-class.
• Fitting of multiple regression models, partial regression models, multiple and partial correlation coefficients.
• Test of significance of simple, multiple, partial correlation, and regression coefficients.
• Tests of influential and outlier observations by different methods.
• Fitting of ridge regression, fitting of polynomial regression, and orthogonal polynomial models.
• Durbin-Watson test for serial correlation.
Rationale:
Group B (Marks: 20)
(Related Course - STAT-205: Demography)
This course introduces the basic techniques of demographic analysis. Students will become familiar with the core demographic methods and will gather practical experience using such methods.
Course Objectives:
The objectives of this course are to:
• Present demographic data by graphs and charts.
• Know the computation procedures of different rates and ratios (such as Growth Rates, TFR, GRR, NRR, ASFR, etc.) of demographic data.
• Construct life tables and analyze different types of life tables.
• Produce population projections and interpret the information gathered by the different demographic methods.
Learning Outcomes:
After completion of this course, the student will be able to:
• Calculate different rates and ratios and then interpret the results accurately.
• Calculate different indices and interpret the results.
• Identify the components of population change, including the effects of changing birth, death, and migration rates.
• Construct and interpret different life tables.
• Project population using appropriate demographic methods.
Contents:
• Presentation of population and demographic data by graphs and charts.
• Calculation of rates and ratios, standardization of birth, death, marriage, and divorce rates.
• Meyer's index, Whipple's index, United Nations index, estimation of under and over count.
• Intrinsic rates, mean and median age at marriage, growth rates.
• Computation of different measures of fertility and reproduction (such as CWR, CBR, ASFR, ASFMR, TFR, GFR, GRR, NRR, and PPR).
• Computation of different measures of mortality (such as CDR, ASMR, IMR, etc.), migration rates, child mortality rates, and adult mortality rates.
• Coale's indices, construction of nuptiality tables, life tables, population estimates, and projections using mathematical methods.