MSc Biostatistics Course Prospectus
MSc Biostatistics Course Prospectus
MSc. BIOSTATISTICS
                          PROSPECTUS
                                     1
    MSc Biostatistics Course
    Eligibility criteria
   Bachelor Degree in Statistics
   Any Bachelor Degree with statistics as ancillary /allied subject
                                             2
Choice Based Credit System (CBCS) Regulations
Credit refers to describe the quantum of syllabus in terms of hours of study. It indicates
differential weight-age given according to the contents & duration of the courses in the
curriculum design.
Core Courses are compulsory subjects offered.
Elective Courses are courses offered by NIE
Supportive courses are of intermediary & introductory level in nature; aimed at bridging
the gap in the curricula; Enabling improvement skills in computation & communication.
Human Rights is a compulsory credit course offered in the III semester.
The course is designed under lectures / practical work / Journal review/ Seminars /
dissertation work / viva-voce.
Application procedure
Online application - advertised thro NIE & ICMR website
Application submission fee of Rs 1000/-drawn in favour of Director NIE
Course fee Rs 60,000 for four semesters (non refundable)
Examination fees as University norms
Method of Selection
       Review/Scrutiny of application form
       Written test/ personal interview
   Reservation of seats and concession for SC /ST/ differently abled student as per
   Govt. norms.
Written test/ personal interview will be held at NIE
Course Subjects
1. No. of Core papers:           13
        Practicals:               3
(Including Journal review/seminar)
2. Elective courses:             2 out of 4
3. Supportive courses:            2 out of 4
4. Dissertation/project work: 1
Total                         21
                                           3
              Fee Structure for MSc. Biostatistics Studies
Accommodation
On-campus limited hostel accommodation is available. Allotment will be based on the first
come first served basis.
                                                    4
          MSc BIOSTATISTICS FRAME WORK
Elective courses
   1.   Data Management
   2.   Applied Spatial Statistics
   3.   Health informatics
   4.   Bayesian Statistics
Supportive courses
   1.   Scientific communication
   2.   Health Economics
   3.   Field Epidemiology
   4.   Health Systems
                                     5
Grading System
The term Grading system indicates a seven point scale of evaluation of the performance of
students in terms of marks, grade points, letter grade and class as given below.
                                              6
                                         Course Competencies
   Develop an efficient design for collecting, recording, and storing non spatial & spatial
    data collected in the conduct of public health and medical research.
   Develop sample size and statistical power calculations for basic study designs including
    those utilized in clinical trials.
   Produce edited data sets suitable for statistical analyses.
   Perform analyses of stated hypotheses using a variety of analytical tools including
    analysis of variance, multiple regression, nonparametric statistics, logistic regression,
    multivariate analyses, spatial data analysis and methods for analyzing rates and failure
    time data.
   Interpret results of advanced statistical analyses and use these results to make relevant
    inferences from data.
   Develop written presentations based on intermediate to advanced statistical analyses
    for both public health professionals and educated lay audiences.
   Develop oral presentations based on intermediate to advanced statistical analyses for
    both public health professionals and educated lay audiences.
                                               7
MSc. BIOSTATISTICS CURRICULUM
            8
         M_BS C01                                   5 hours/week                    5 credits
                               Basic statistics
Unit 1        Types of Data
                   Qualitative and quantitative data
                   cross sectional and time series data
                   discrete and continuous data
                   Nominal, ordinal, ratio and interval scales
Unit 2        Presentation of Data
                   Frequency distribution and cumulative frequency distribution
                   diagrammatic and graphical presentation of data
                   construction of bar, pie diagrams, histograms, frequency polygon,
                    frequency curve and ogives
              Measures of central tendency
                   Mean
                   Median
                   Mode
                                              9
                Random experiment/trial
                sample point, sample space, operation of events
                exhaustive, equally likely and independent events
                Definition of probability-classical, relative frequency
                statistical and axiomatic approach, conditional probability
                Addition & multiplication laws of probability
Unit5       Random Variable and Probability Functions
                Definition of random variable,
                discrete and continuous random variable,
                probability function,
                probability mass function
                probability density functions, distribution function and its properties
                functions of random variables
                Joint, marginal and conditional probability distribution function
        BOOKS RECOMMENDED
        1. Goon A.M., Gupta M. K., Dasgupta B (2008): Fundamentals of Statistics,
           Published by Prentice Hall, 2nd edition.
        2. Gupta S.C.& Kapoor V.K, (2000): Fundamentals of & Mathematical Statistics,
           Sultan Chand Sons 10th edition.
        3. Croxton F.E., Cowden D.J. & Kelin S, (1967): Applied General Statistics,
           Prentice Hall.
        4. Hogg and Craig, Introduction to Mathematical Statistics, (2013): Prentice
           Hall, 7th edition.
        5. Steel and J H Torrie, Principles and procedures of statistics, (2007): McGraw
           Hill, 2nd edition.
                                           10
BOOKS FOR READING (FREE e-BOOKS)
1. http://www.e-booksdirectory.com/listing.php?category=15
2. http://www.analyticsvidhya.com/blog/2016/02/free-read-books-statistics-
   mathematics-data-science/
                               11
         M_BS C02                                 5 hours/week           5 credits
         Statistical Inference I – Estimation Methods
Unit 1   Statistical Estimation
            Parameter and statistic
            Sampling distribution of statistic
            Point and interval estimate of a parameter
            Concept of bias and standard error of an estimate
            Standard errors of sample mean, sample proportion, standard deviation
Unit 2   Properties of a good estimator
            Unbiasedness
            Efficiency
            Consistency
            Sufficiency
             (Definitions & Illustrations)
            Cramer Rao’s Inequality (statement-concept)
            Consistency and asymptotic efficiency
            Fisher’s Information Function
            Rao-Blackwell theorem (statement-concept)
                                       12
Unit 5      Bayesian Inference
               Back ground
               Bayes theorem
               Prior and posterior distributions
               Interval estimation
               Fisher’s fiducial arguments
         BOOKS RECOMMENDED
         1. Daniel, W. W (2005): Biostatistics- A foundation for analysis in the Health
            Sciences, John Wiley & Sons, 7th edition.
         2. Hogg, R. V., McKean, J. W. and Craig, A. T. (2006): Introduction to
            Mathematical Statistics, 6th edition, Pearson Education.
         3. Rohatgi,V.K. and Saleh, A.K.(2001):An Introduction to Probability and
            Statistics, John Wiley & Sons. (Chapter 8, Section 8.1 through 8.8)
         BOOKS FOR REFERENCE
         1. Casella, G. and Berger, R.L. (2002): Statistical Inference, Thomson Duxbury,
            2nd edition.
         2. Kale, B.K, (1999): A First Course on Parametric Inference, Narosa Publication ,
            New Delhi, 2nd edition.
         3. Pagano, M. and Gauvreau, K. (2000): Principles of Biostatistics, Duxbury, 2nd
            edition.
         4. Rao, C.R. (2002): Linear Statistical Inference and its applications, Wiley series
            in Probability and Statistics, 2nd edition.
                                          13
          M_BS C03                                       5 hours/week   5 credits
          Basic Epidemiology
Unit 1    Introduction to Epidemiology
             What is epidemiology?
             The historical context Origins
             Definition, scope, and uses of epidemiology
         BOOKS RECOMMENDED:
         1. R Bonita, R Beaglehole. T Kjellström, (2006): Basic Epidemiology 2nd Edition.
            http://apps.who.int/iris/bitstream/10665/43541/1/9241547073_eng.pdf
         2. Dicker, Richard, (2006): Principles of Epidemiology in Public Health Practice, 3rd
            edition. http://www.cdc.gov/ophss/csels/dsepd/ss1978/ss1978.pdf
         3. Altman D G, (2006): Practical Statistics for Medical Research, London: Chapman
            and Hall, 2nd edition.
         4. Leon Gordis M, (2004): Epidemiology, NA Saunders Company, 3rd edition.
                                             15
          M_BS C04                                       5 hours/week               5 credits
          Sampling methods and Sample size determination
Unit 1   Introduction
             Advantages of sampling method
             Some uses of sample surveys
             The principal steps in a sample survey
             The role of sampling theory
             Probability sampling
             Alternatives to Probability sampling, Use of normal distribution, Bias and its
              effects, The mean square error
Unit 2    Simple random sampling
             Simple random sampling, Selection of simple random sample, definitions
              and notation, properties of the estimate, variance of the estimates
             The finite population correction, Estimation of the standard error from a
              sample, confidence limits
             Random sampling with replacement
             Estimation of a ratio, Estimates of means over subpopulations, Estimates of
              totals over subpopulations
             Comparisons between domain means, Validity of the normal approximation,
              Linear estimators of the population mean
Unit 3    Sample size estimation
             A hypothetical example, Analysis of the problem, The specification of
              precision
             The formula for n in Sampling for proportions, Rare items-Inverse sampling,
              The formula for n with continuous data
             Advance estimates of population variances, Sample size with more than one
              item
             Sample size when estimates are wanted for subdivisions of the population
             Sample size in decision problems
             The design effect
                                            16
Unit 4      Stratified random and Systematic sampling
               Description, Notation, Optimum allocation
               Estimation of sample size with continuous data, proportions
               Relative precision of stratified and simple random sampling
               Systematic sampling relative to cluster sampling
               Comparison of Systematic with stratified random sampling
               Stratified systematic sampling
Unit 5      Single stage cluster sampling: Clusters of equal and unequal sizes
               Reasons for cluster sampling, A simple rule
               Cluster sampling for proportions
               Cluster Units of unequal size
               Sampling with probability proportional to size
               Selection with unequal probabilities with replacement
               Probability proportional to its size measure
         BOOKS RECOMMENDED
         1. William G. Cochran, (1997): Sampling Techniques, , John Wiley & sons 3rd edition.
         2. Murthy M N (2012): Sampling Theory and methods, Statistical publishing
            Society, Calcutta 2nd edition.
         3. Levy PS, Lemeshow S (1999): Sampling of Populations: Methods and
            Applications, New York: Wiley Interscience, 3rd edition.
         4. Lohr SL (2009): Sampling: Design and Analysis. Duxbury Press, 2nd edition.
         5. Wayne Fuller (2009): Sampling Statistics, Wiley, 1st edition.
         BOOKS FOR REFERENCE
         1. Foundations of Inference in Survey Sampling (1997), Cassel, C.M., Sarndal, C.E.
            and Wretman, John Wiley & Sons, 2nd edition.
         2. Floyd J. Fowler (1995), Improving Survey Questions: Design and Evaluation, Sage
            Publications, 2nd edition.
                                             17
         M_BS C05                                        4 hours/week              4 credits
         Population Studies
Unit 1   Introduction to Demography
            Definition and uses of demographic data
            Source of vital statistics: census method - Registration method
            Sources of Demography Data: Secondary sources - SRS– Surveys
Unit 2   Mortality and Fertility
         Mortality Measures
            Nature And Uses Of Mortality Statistics
            Mortality measures: Merits and demerits of Crude Death Rate (CDR) and
             Age-Specific Death Rates, Infant Mortality Rate(IMR)
         Fertility measures
            Basic terms and concepts used in the study of fertility
            Measures of fertility: Crude Birth Rate, Age specific fertility rate, General
             fertility rate, Total fertility rate, Gross reproductive rate and Net reproductive
             rate, Order-specific fertility rates.
            Life table and Abridged life table concepts
Unit 3   Standardization
            Need and importance of standardization
            Direct and indirect technique of standardization of rates and ratios in the
             light of mortality/fertility rates
            Decomposition of Infant mortality rate and its sub-divisions
            Maternal Mortality Rate and Ratios
Unit 4   Population distribution and indices of dissimilarity
            Population classification - Urban-Rural international Standard definitions
            Rank size Rule for growth pattern
            Index of dissimilarity , Theil’s index, Isolation index ,Clustering
            Gini Concentration Ratio and Lorenz Curve
Unit 5   Mobility and Migration
            Concept of mobility and Migration
                                            18
      Types of migration, internal migration patterns and characteristics in
       developing countries with a special focus on India.
BOOKS RECOMMENDED
1. Goon A.M., Gupta M. K., Dasgupta B (2008): Fundamentals of Statistics,
   Published by Prentice Hall, 2nd edition.
2. Gupta S.C.& Kapoor V.K, (2000): Fundamentals of & Mathematical Statistics,
   Sultan Chand Sons 10th edition.
3. Pathak, K.B. and F.Ram, (1998): Techniques of Demographic Analysis,
   Mumbai,Himalaya Publishing House, Chapter 4
4. Jacob S. Siegel, David A. Swanson (2004): The methods and Materials of
   Demography, Elsevier Inc.
BOOKS FOR REFERENCE:
1. Hinde, Andrew (1998), Demographic Methods, London: Edward Arnold, 1st
   edition.
2. Cox, P. (1959): Demography, Cambridge University Press, 2nd edition.
3. Keyfitz, (1985): Applied mathematical Demography, Springer-Verlag, New York,
   2nd edition.
4. Shrivastava, O.S. (1995): Demography and population Studies, Vikas Publishing
   house private limited, 2nd edition.
                                     19
          M_BS C06                                      4 hours/week          4 credits
          Statistical Inference II – Tests of Hypotheses
Unit 1    Introduction to Hypothesis Testing
             Null and alternative hypotheses- Simple and composite hypotheses,
             Critical region,
             Level of significance, one tailed and two tailed testing,
             Types of errors (I & II)
             Power and Sample size
             P- value interpretation and its associated misconceptions
Unit 2   Test of Hypotheses
             Neyman-Pearson Lemma,
             Tests based on Binomial, Poisson and Normal distribution(s)
Unit 3    Small and Large Sample Tests
          Small Sample Tests
             Test for means and variances based on t, F, χ2 distributions.
          Large Sample Tests:
          Tests and Interval Estimation for
             Single mean, single proportion
             Two means, two proportions
             Fisher’s Z transformation
Unit 4    Nonparametric Tests
             Test of goodness of fit
             Chi square test
             Kolmogrov- Smirnov one sample test
             Sign test,
             Paired sample test
             Wilcoxon signed rank test
             Paired sample rank test
Unit 5    Two sample problems
                                           20
      Kolmogrov- Smirnov two sample test
      Mann- Whitney U test
      Wald-Wolfowitz runs test
   Sequential Tests
      Sequential methods of drawing inferences
      Sequential probability ratio test (SPRT) – definition and basic concepts
      SPRT for testing simple hypotheses
      Operating Characteristic function
      Average Sample Number function
      Applications to binomial, Poisson and normal distributions
BOOKS RECOMMENDED
1. Conover, W. J. (2006): Practical Non-parametric Methods in Statistics, 2nd
   edition, (Unit 5).
2. Daniel, W.W. (2006): Biostatistics: A foundation for analysis in the Health
   Sciences, John Wiley & Sons, 7th edition (Unit 5).
3. Rohatgi,V.K. (1984): An Introduction to Probability Theory and Mathematical
   Statistics, Wiley Eastern, 3rd edition ( Chapter 14-14.5 for SPRT).
4. Rohatgi, V.K. and Saleh, A.K. (2001): An Introduction to Probability and Statistics,
   John Wiley & Sons, 3rd edition (Chapters 8 - 8.3, 9, 10- 10.1,10.2,10.6, 11 - 11.3).
BOOKS FOR REFERENCE:
1. S.C. Gupta and V.K. Kapoor (2008): Fundamentals of Applied Statistics, Sultan
   Chand and Sons, 2008 4thedition.
2. G. Casella and R.L. Berger (2002): Statistical Inference, Thomson Duxbury, 2 nd
   edition.
3. E.J. Dudewicz and S.N. Mishra (1988): Modern Mathematical Statistics, John
   Wiley and Sons, 2nd edition.
4. A.M. Goon, M.K. Gupta and B. Dasgupta (2003): An Outline of Statistical Theory
   (Vol. I), World Press, Kolkata, 4th edition.
                                     21
         M_BS C07                                     4 hours/week            4 credits
         Longitudinal Data Analysis
Unit 1   One way classification
            Analysis of variance(ANOVA) : One Way, Two Way & generalization
            Single factor ANOVA
            Two-factor ANOVA with unequal and equal replication (with/without
             interactions)- fixed and random effects models
            Multiple comparison tests-Tukey, Newman-Keul, Scheffe tests
Unit 2   Designs of Experiments
            Completely Randomized Designs (CRD)
            Randomized Block Designs (RBD)
            Latin Square Designs (LSD)
Unit 3   Advanced Designs for Analysis
            Repeated measures designs
                         ANCOVA (for CRD and RBD)
                         Factorial Designs (22,32)
Unit 4   Bioassay
            Introduction - Direct assays: the nature of direct assays, precision of
             estimates and the design of direct assays.
            Dose Response Relations: Indirect assays, the dose response regression
            Standard curve estimation, slope estimation, and simultaneous trial
             estimation
Unit 5   Response Surface Methodology (RSM)
            Concept of Response Surface Methodology
            Central Composite Designs (CCD)
            Box-Behnken Designs
            Missing Data
                                            22
BOOKS RECOMMENDED
1. Das, M.N. and Giri N.C. (2006): Design and Analysis of Experiments Delhi. New
   Age International (P) Ltd., New, 2nd edition.
2. Montgomery D.C (2006): Design and Analysis of Experiments, Wiley India 5th
   Edition.
3. Zar, J.H. (2007): Biostatistical Analysis, Pearson Education 4th edition.
4. Govindarajulu, Z. (2000): Statistical techniques in Bioassay, Thomson Duxbury,
   2nd edition.
                                     23
         M_BS C08                                     4 hours/week         4 credits
         Applied Linear Regression Analysis
Unit 1   Simple linear regression
            Assumptions and Estimation of model parameters
            Standard error of estimators
            Testing of hypotheses on slope and intercept ( β’s)
            Coefficient of determination (R2 )
Unit 2   Multiple linear regressions
            Least square estimation of model parameters
            Variance covariance of least squares estimators
            Estimation of error variance
            Tests of hypotheses of regression parameters
            Significance of regression (ANOVA, R2and adjusted R2),
            Dummy variable regression- general concepts and uses
Unit 3   General linear Models (GLM)
            Introduction - Gauss Markov Setup
            Assumptions - Homoscedasticity & Hetroscedasticity
            Multicollinearity and it’s solutions
            Autocorrelation - Durbin – Watson test
            Variance stabilizing transformations to linearize the model
            Analytical methods for selecting a transform
Unit 4   Variable Selection
            Selection of Variables – forward selection, backward elimination and
             stepwise regression (algorithms only)
            Weighted least squares
            Information Criteria
            Akaike Information Criteria
Unit 5   Introduction to Non-linear Regression
            Nonlinear regression – transformation to a linear model,
            Usefulness of the nonlinear regression method
                                            24
          Limitations of the nonlinear regression method
          Use of re-sampling procedures in regression
BOOKS RECOMMENDED
1. Montgomery, D. C., Peck, E. A. and Vining, G. G. (2003): Introduction to Linear
   regression analysis, John Wiley and Sons, Inc. 3rd edition Chapters 2, 3, 4, 5, 6, 8
   (8.1,8.2), 9, 10, 12 (12.1,12.3,12.4), 14 (14.1.2).
2. Zar, J.H. (2006): Biostatistical Analysis, Pearson education, 4th edition Chapter 18
   (18.1, 18.2,18.4,18.5).
                                         25
         M_BS C09                                     4 hours/week               4 credits
         Categorical Data Analysis
Unit 1   Contingency table analysis
            Introduction - Nature of Categorical data - Statistical inference for a
             proportion
            Contingency Tables and their distribution: Binomial and Multinomial
             sampling
            Table structure comparing proportions - Comparing proportions in two-by-
             two tables: Difference of proportions
            Relative risk - Odds Ratio - Properties of Odds Ratio - relationship between
             Odds Ratio and Relative Risk
Unit 2   Measures of Association
            Nominal and Ordinal Measures of Association - Inference for Contingency
             tables: Interval estimation for difference of proportions, odds ratio, log odds
             ratio and relative risk
            Testing Independence in Two-Way tables: Pearson and Likelihood-ratio chi-
             square tests - Yate’s correction for continuity-Residuals for cells in a
             contingency table-Partitioning chi-squared
            Trend tests for 2 x J tables - Testing Independence for Ordinal Data-Fisher
             Exact Test for 2 x 2 tables - Exact Inference for small samples - Association in
             Three-Way Tables: Partial Tables - Marginal and conditional and Odds Ratios
             - Homogeneous Association - Cochran-Mantel-Haenszel methods
Unit 3   Logistic regression
            Logit models for Binary data-Binomial GLM for 2 x 2 contingency tables
            Logistic regression: Interpreting logistic regression - Inference for logistic
             regression
            Maximum likelihood estimate - test of overall regression and goodness of fit
            Deviance statistic, Wald test, LR test, Score test-Logistic regression
             diagnostics
            Multiple Logistic Regression
Unit 4   Logit models for multinomial responses
                                            26
                   Nominal Responses: Baseline-Category Logit Model
                   Ordinal Responses: Cumulative Logit Models
                   Ordinal Responses: Cumulative Link Models
                   Alternative Models for Ordinal Responses
Unit 5          Loglinear models for contingency tables
                   Loglinear Models for Two-Way Tables
                   Loglinear Models for Independence and Interaction in
                    Three-Way Tables
                   Inference for Loglinear Models
                   Loglinear Models for Higher Dimensions
         BOOKS RECOMMENDED
         1. Agresti, A. (2002): Categorical data analysis, John Wiley & Sons, 3rd edition.
         2. McCullagh, P. and Nelder, J.A. (1991): Generalized Linear Models, Chapman and hall,
            London, 2nd edition.
         3. Draper NR and Smith H (1981): Applied Regression Analysis, John Wiley & Sons, 3rd
            edition.
         4. Hosmer D., Lemeshow S., Sturdivant RX. Applied Logistic Regression, ISBN-13: 978-
            0470582473ISBN-10: 0470582472, 3rd edition.
         BOOKS FOR REFERENCE
         1. Agresti, A. (1991): An Introduction to Categorical data analysis, John Wiley & Sons,
            2nd edition.
         2. Armitage, P. and Berry, G. (1987): Statistical methods in Medical Research, Blackwell
            Scientific Publications, USA, 3rd edition.
         3. Deshpande, J.V., Gore, A.P. and Shanubhogue, A. (1995): Statistical Analysis of Non
            Normal Data, New Age International Publishers Ltd., New Delhi, 1st edition.
         4. Hardin, J.W., and Hilbe, J.M. (1994): Generalized Estimating Equation, Chapman and
            Hall, London, 2nd edition.
         5. Hosmer, D.W. and Lemeshow, S.(1989): Applied Logistic Regression, John Wiley &
            Sons Inc, 2nd edition.
                                                  27
         M_BS C10                                       4 hours/week                4 credits
         Time to event data analysis
Unit 1   Introduction and definition of time series analysis
            Components of time series, Trend, seasonal variations, cyclic variations,
             irregular component
            Method of curve fitting by principle of least squares
            moving average method
            Analysis of seasonal fluctuations
            Construction of seasonal indices using method of simple averages
            ratio to trend method
            ratio to moving average method.
Unit 2   Introduction and terminology used in Survival analysis
            Survival functions- Concept of Time and event
            Censoring mechanism and truncations
            Order and Random Censoring
            Survival, hazard and density functions
            Mean and median residual life and their elementary properties
Unit 3   The shapes of hazard and survival functions
            Exponential
            Gamma
            Weibull
            Lognormal
            Preparing survival time data for analysis and estimation
Unit 4   Kaplan Meier methods
            Point estimation, Confidence Intervals, Scores, tests based on maximum
             likelihood estimation
            Likelihood ratio, Partial likelihood estimation-log logistic distribution
            Kaplan Meier methods-Estimation of the hazard and survivor functions
            Kaplan-Meier life table and product-limit methods
                                           28
Unit 5          Nonparametric methods
                   Log rank test
                   Gehan Test
                   Mantel - Haentzel Test
                   Tarone - Ware tests
                   Efron Tests
         BOOKS RECOMMENDED
         1. Klein, J.P. and Moeschberger, M.L. (2003): Survival Analysis- Techniques for
            Censored and Truncated data. Springer Inc, 1st edition.
         2. Miller, R.G. (1981): Survival Analysis, John Wiley and Sons, 1st edition.
         3. Deshpande, J.V., Gore, A.P. and Shanubhogue, A. (1995): Statistical Analysis of Non
            Normal Data, New Age International Publishers Ltd., New Delhi, 1st edition.
         BOOKS FOR REFERENCE
         1. Barlow, R. E. and Proschan, F. (1975): Statistical Theory of Reliability and Life testing,
            Holt, Rinehart and Winston, New York, 2nd edition.
         2. Johnson, E.R.E. and Johnson, N.L. (1980): Survival models and Data Analysis, John
            Wiley and Sons, 3rd edition.
         3. Lee, C.T. (1997): Applied survival analysis, John Wiley, 2nd edition.
         4. Croxton F.E., Cowden D.J. &Kelin S (1973): Applied General Statistics, Prentice Hall,
            1st edition.
         5. Johnson RA and Wichern DW (1984): Applied Multivariate Statistical Analysis, John
            Wiley & sons, 2nd edition.
                                                  29
         M_BS C11                                     4 hours/week             4 credits
         Applied Multivariate Analysis
Unit 1   Multivariate Normal Distribution
            Definition, mean vector, variance-covariance matrix, properties
            Maximum likelihood estimators for mean vector, variance- covariance matrix
            Tests of hypotheses concerning mean vector, variance- covariance matrix
             (one sample and two sample problems)
                                          30
          Single linkage
          average linkage
          complete linkage methods
       Hierarchical clustering methods
          Introduction to Hierarchical clustering methods
          Non-hierarchical clustering methods
          Advantage and disadvantage of Hierarchical clustering methods
          K means method.
BOOKS RECOMMENDED
1. Johnson, R.A. and Wichern, D.W. (2007): Applied Multivariate Statistical Analysis,
   Pearson Education, Asia, 6th edition.
2. Morrison (1990): Multivariate Statistical Methods, McGraw-Hill,.
3. Allen Agresti (1990) Categorical data analysis, 2nd edition.
                                        31
         M_BS C12                                      5 hours/week              5 credits
         Clinical Trials
Unit 1   Introduction to Clinical Trials
            Historical background – The need and ethics of clinical trials
            Organization and Planning ,Main features of the study protocol
            Selection of patients ,Treatment schedule ,Evaluation of patient response
            Follow-up studies
            GCP/ICH guidelines
Unit 2   Different Phases of clinical trials
            Phase I, II, III and IV trials
            Basic study designs: Randomized control study, Nonrandomized concurrent
             control study
            Historical controls, cross-over design, withdrawal studies
            Group allocation design, hybrid designs
            Studies of equivalency
Unit 3   Methods of Randomization
            Fixed allocation randomization ,Stratified randomization,Adaptive
             randomization ,Unequal Randomization
            Blinding and Placebos: Unblinded, Single blind and Double-blind
             trials,conduct of double blind trials
            Crossover trials- Design, Analysis and interpretation
Unit 4   Statistical methods for determining Trial size
            Method for dichotomous response variable
            Continuous response variables
            Repeated measures
            Cluster randomization and equivalency of intervention
            Multicenter trials
Unit 5   Data management
            Interim analysis
            Case report form design
                                              32
   Database design
   Data collection system for good clinical practice
   Terminologies used in Clinical research
BOOKS RECOMMENDED
1. Fundamentals of clinical trials (2010): Lawrence M. Friedman, Curt D.
    Furberg, David L. DeMets. Springer; 4th edition.
2. Clinical Trials (2006): A practical guide to design, analysis and reporting.
    Wang D, Bakhai A. Remedica; 1st edition.
3. SPIRIT 2013: New guidance for content of clinical trial protocols. Chan AW,
    TetzlaffJM, Altman DG, Dickersin K, Moher D. Lancet. 2013 Jan 12;381(9861)
    :91-2.
4. Pocock, S.J. (1991): Clinical Trials – A Practical Approach, John Wiley and
    Sons.
    http://onlinelibrary.wiley.com/doi/10.1002/0470842563.fmatter_indsub/pdf
BOOKS FOR REFERENCE
1. Fleiss, J.L. (1986): The design and analysis of clinical experiments John Wiley
    & Sons.
2. Meinert, C.L. (1986): Clinical trials: Design, Conduct and Analysis, Oxford
    university press.
    http://samples.sainsburysebooks.co.uk/9781118031179_sample_388791.pdf
3. Piantadosi, S. (2005): Clinical Trials - A Methodological Perspective Wiley
    series in probability and Statistics, 2nd edition.
                                  33
         M_BS C13 (Compulsory subject)                    3 hours/week    3 credits
         Human rights
Unit 1   Background
            Introduction
            Meaning
            Nature and Scope
            Development of Human Rights
            Theories of Rights
            Types of Rights.
                                          34
                   Human Rights Violations against Minorities, SC/ST and Transgenders
                   Preventive Measures.
         BOOKS RECOMMENDED
         1. Jagannath Mohanty, Teaching of Human sRights New Trends and Innovations, Deep
            & Deep Publications, Pvt. Ltd., New Delhi,2009
         2. Ram Ahuja: Violence Against Women, Rawat Publications Jewahar Nager,
            Jaipur.1998.
         3. Sivagami Parmasivam, Human Rights, Salem, 2008
         4. Hingorani R.C.: Human Rights in India: Oxford and IBA, New Delhi.
                                                35
         M_BS Elective Course                       4 hours/week               4 credits
         Data Management
Unit 1   Basics of computers
          Introduction,
            CPU
            I/O devices
            memory, storage
            working with files & folders
            system software
            application software
            virus/worms threat management.
BOOKS RECOMMENDED
                                         37
         M_BS Elective Course                            4 hours/week   4 credits
         Applied Spatial Statistics
Unit 1   Introduction to Spatial Statistics
            Components of spatial data
            Geographical coordinates
            Map Projections
            Coordinate Systems
            Types of spatial data: Vector data and raster data
            Remotely sensed data
            Digitizing
Unit 5 Models
                                          38
          Introduction to spatial models
          Spatially correlated data
          Linear regression models for Spatially Autocorrelated data
          Interpretation and use with spatial data
          GeoDa software over view
BOOKS RECOMMENDED
1. Lance A. Waller and Carol A. Gotway (2004): Applied Spatial Statistics for Public
   Health Data, John Wiley & Sons, 1st edition.
   http://samples.sainsburysebooks.co.uk/9780471662679_sample_381451.pdf
2. Bailey, T.C. and A.C. Gatrell (1995): Interactive Spatial Data Analysis. Essex, England,
   Prentice Hall 1st edition.
3. A. E. Gelfand, P. J. Diggle, M. Fuentes and P. Guttorp (2011) “Handbook of Spatial
   Statistics edited by Gelfand, A. E., Diggle, P. J., Fuentes, M. and Guttorp, P.
4. N. Cressie (2015): Statistics for spatial data Wiley-Interscience; 2nd edition.
5. S. Banerjee, B. P. Carlin and A. E. Gelfand (2014): “Hierarchical modeling and analysis
   for spatial data”, Chapman & Hall/CRC 6th edition.
BOOKS FOR READING
1. Wiley. Cressie, N. and Wikle, C. (2011): Statistics for Spatio-Temporal Data. Wiley 1st
   edition.
2. Diggle, P. J. (2003) Statistical Analysis of Spatial Point Patterns 2nd edition.
3. Hodder Arnold. Diggle, P. J. and Ribeiro, R. J. (2007) Model-based Geostatistics.
   Springer 2nd edition.
                                          39
                M_BS Elective Course                        4 hours/week                  4 credits
                Health Informatics
         Book recommended
         Taylor P, From Patient data to Medical knowledge – The principles and Practice of
         Health Informatics (2006); Blackwell Publishing – BMJ Books.
                                                 40
   Books for Reading
1. Enrico Coiera Hodder Arnold , Guide to health informatics (2003) Second Edition.
2. Frank Sullivan, Jeremy C Wyatt, ABC of Health Informatics,(2006) Blackwell Publishing –
   BMJ Books.
                                          41
         M_BS Elective Course                        4 hours/week          4 credits
         Bayesian Statistics
Unit 1   Bayes law
            Background and introduction
            The differences between Bayesian verses non Bayesian approaches;
            Baye’s law for multiple events
Unit 2   Markov Chain Monte Carlo techniques
            Introduction
            Informative priors
            Non informative priors
            Simple Gibbs sampling
            Simple Metropolis Sampling
Unit 3   Specifying Bayesian Models
            Purpose
            Likelihood theory and estimation
            The Basic Bayesian Framework.
            Summarizing Posterior Distributions with intervals.
Unit 4   The Bayesian Prior
            The importance of priors
            Posterior distribution
            A Plethora of priors
            Conjugate priors
            Choice of priors
            Different posterior beliefs
Unit 5   Bayesian models
            Bayesian Hierarchical models
            Basic structure of the Bayesian Hierarchical Model
            A poison Gamma Hierarchical Model
            WinBUGS software
            OpenBUGS module
                                           42
BOOKS RECOMMENDED
1.   Jeff Gill, Bayesian methods: A Social and Behavioural Approach Chapman & Hall
     (CRC)
2.   P M Lee, Bayesian Statistics: An Introduction, Arnold
3.   Andrew Gelman, John B. Carlin, H.S. Stern, and D.B. Rubin, Bayesian Data Analysis,
     2nd Edition. Chapman & Hall (SFGEL)
4.   G R Iverson, Bayesian Statistical Inference, Beverley Hills, CA: Sage (SF4 IVE)
5.   J Albert, Bayesian Computation with R, Springer 2007
6.   D V Lindley, An Introduction to Probability and Statistics from a Bayesian
     Viewpoint (2 vols - Part I: Probability and Part II: Inference), Cambridge University
     Press (S 9 LIN).
BOOKS FOR READING
1.   Sivia, D. and skilling J (2006). Data analysis: A Bayesian tutorial. Oxford: Oxford
     University Press, 2nd edition.
2.   Bernardo, J. M., & Smith, M. F. A. (1994). Bayesian theory. New York: Wiley, 1st
     edition.
3.   Box, G. E. P., and Tiao, G. C. (1992). Bayesian inference in statistical analysis. New
     York: Wiley, 1st edition.
                                          43
         M_BS Supportive Course                          4 hours/week   4 credits
             Scientific communication
Unit 1       Science Communication overview
                                              44
          Preparing message for print media, writing press release
          Preparing message and handling TV/radio media
BOOKS RECOMMENDED
1. Laura Bowater, Kay Yeoman, (2012): Science Communication: A Practical Guide for
   Scientists. ©2013, Wiley-Blackwell.
2. Bucchi, M. & Trench, B. (Eds.) (2008). Handbook of Public Communication on Science
   and Technology. London: Routledge.
3. Cheng, D., Claessens, M., Gascoigne, T., Metcalfe, J., Schiele, B., & Shi, S. (eds.)
   (2008). Communicating Science in Social Contexts: New models, New Practices. New
   York: Springer.
4. Joseph E. Harmon and Alan G. Gross, The Craft of Scientific Communication ©
   2010 (Chicago Guides to Writing, Editing, and Publishing).
5. Schimel, Joshua (2011). Writing Science: How to Write Papers That Get Cited and
   Proposals That Get Funded. Oxford University Press
                                         45
         M_BS Supportive Course                              4 hours/week             4 credits
         Health Economics
Unit 1   Tools for Health Economics
            Opportunity cost
            Demand and supply of health care, price elasticity of demand
            Utility functions
            Market structures, gross domestic product and inflation
            Equity and Efficiency
Unit 2   Economic evaluation in health care
            Concept and need of health care evaluation
            Concept of efficiency and its types
            Influence of economic evaluation in policy making
            Frameworks used to prioritise different programs
            Types of economic evaluation in health care -
            Perspective of Economic Evaluation
            Interpreting CER and ICER results of economic evaluation
            Methods of economic evaluation – RCT and Decision modeling
Unit 3   Costing and cost analysis
            Type of costs
            Perspectives of costing – Economic and financial
            Costing methods
            Designing a costing study
            Analysing cost data
Unit 4   Economic evaluation in health care
            Valuation of benefits – DALY, QALY, WTP
            Uncertainty analysis - Types of uncertainties, analysing uncertainties
            Decision rules and thresholds - Interpreting CER and ICER results,
Unit 5   League tables and threshold
            Introduction to league tables and thresholds
                                          46
          The problem of threshold in evaluating the cost
          The limits of cost effective analysis
          Using the Drummond checklist for critical appraisal of economic evaluation
BOOKS RECOMMENDED
1. Charles E. Phelp (2009), Health Economics, Prentice Hall , 4th edition.
2. Yasodha Shanmugasundaram (1994) Theory and Practice of Health Economics in
   India Allied Publishers Ltd, 1st edition.
3. Government of India (1983) National Health Policy, New Delhi.
4. ICSSR AND ICMR (1981) Health for ALL 2000 A,D, ICSSR ,Delhi.
5. Naik J.P (1977) An alternative System of Health Care Services in India – Some
   Prospects ICSSR Delhi.
6. Panchamukhi, P.R (1980), Economics of Health: A Trend Report, Volume – VII
   Infrastructure, ICSSR Delhi.
BOOKS/WEB PAGES FOR READING
1. Health Economics Core Library Recommendations, 2011.
   https://www.nlm.nih.gov/nichsr/corelib/hecon-2011.html
2. Introduction to Health economics
   http://www.cartercenter.org/resources/pdfs/health/ephti/library/lecture_notes/health_sci
   ence_students/LN_Intro_to_Health_Economics_final.pdf
                                          47
         M_BS Supportive Course                         4 hours/week              4 credits
         Field Epidemiology
Unit 1   Public health situation analysis
            Framework of situation analysis
            Data sources
            Prioritization of public health problems
            SWOT analysis
Unit 2   Disease surveillance
            To manage and operationalise the disease surveillance system
            Conduct basic time, place and person analysis of surveillance data
            Use surveillance information for action
            Describe and evaluate a surveillance system
Unit 3   Outbreak investigations
            Conceptualize and undertake epidemiologic and laboratory investigations of
             outbreaks
            Understand and undertake appropriate measures for preparation and
             response to outbreaks
Unit 4   Public health programme evaluation
            Concept and purpose of evaluation
            Six steps of framework for public health programme evaluation
            Logic model
            Elements of description of health programme
            Evaluation design and tools
            Interpreting results of evaluation
Unit 5   Epidemiological Data
            Data Interpretation
            Validity
            Reliability
                                            48
RECOMMENDED BOOKS
1. Michael Gregg (2008): Field Epidemiology, Oxford University Press, USA, 2nd edition.
2. ebook selected Chapters www.ciphi.ca/hamilton/Content/documents/fieldepi.pdf
3. Mark S. Dworkin (2011) Cases in Field Epidemiology: A Global Perspective. Publisher
   Jones & Bartlett Learning.
4. Jones & Bartlett (2012): Learning, Methods of field Epidemiology. Publisher Michael
   brown.
5. Anderson RM & May RM (1992) Infectious Diseases of Humans. Dynamics and
   Control. Oxford Science Pubs., ISBN 0-19-854040-X.
RECOMMENDED FOR READING
1. Beaglehole R, Bonita R. (1997): Public Health at the Crossroads. Cambridge
   University Press.
2. Breslow NE, Day NE, Davis W. Statistical methods in cancer research (1980) Vol 1.
   Case-control studies. IARC Scientific Publications No 32. ISBN 9283211324
3. Clayton D, Hills M (1993). Statistical Models in Epidemiology. Oxford University
   Press. ISBN 019852221-5.
4. Giesecke, J (2001); Modern Infectious Disease Epidemiology. Edward Arnold ISBN
   034076423-6, 2nd edition.
5. Hennekens CH, Buring JE (1987): Epidemiology in Medicine. Little, Brown & Co., ISBN
   0316356360
                                       49
         M_BS Supportive Course                        4 hours/week                4 credits
         Health Systems
Unit 1   Organization and Structure of Health System in India
            Concept of six pillars of Health Systems - covering HS concepts, details of
             each of the system blocks with reference to India's health care system
            Universal Health Coverage - what it is, what is happening in the country and
             the issues related to it.
            Public health legislation - conceptual aspect of legislations, the various health
             legislations in India
Unit 2   Health Policy
            Recognizing Policy – What is it? Who makes it? How is it made? What are its
             impacts? How is it evaluated? – Introducing the policy triangle framework.
            Theories of policy making – introducing the main frameworks and theories of
             the policy process.
Unit 3   Policy implementation
            Policy implementation and analysis – introducing various frameworks for the
             analysis of policy
            Trends in the development of the health system in India. Over view of Indian
             Health Policy - Introducing a critical analysis of health system development
Unit 3   Health service delivery in India
            National Health Mission
            National health programmes
            Quality systems - NABH, NABL, six sigma, ISO, Accreditation, Indian public
             health standards
Unit 4   Health information systems
            HMIS and HMS
            ICD classification of diseases - Medical certification of deaths, ICD coding for
             hospitalizations
                                            50
          Data sources for health in India
BOOKS RECOMMENDED
1. Mark Britnell, In Search of the Perfect Health System, ISBN 9781137496614
   Publication Date September 2015, Publisher Palgrave Macmillan.
2. LeighAnne Olsen, Dara Aisner, and J Michael McGinnis. The Learning Healthcare
   System, Institute of Medicine (US) Roundtable on Evidence-Based Medicine;
   Washington (DC): National Academies Press (US); 2007. ISBN-13: 978-0-309-10300-
   8ISBN-10: 0-309-10300-2
3. OECD iLibrary, Health Care Systems Efficiency and Policy Settings ISBN
   9789264094901 (PDF) ;
   DOI :10.1787/9789264094901-en http://www.oecd-ilibrary.org/social-issues-
   migration-health/health-care-systems_9789264094901-en
4. Corlien M. Varkevisser, Indra Pathmanathan, and Ann Brownlee Designing and
   conducting Health Systems Research Projects. KIT, IDRC / 2003-01-01, SBN: Out of
   print / 380 pg., e-ISBN: 1-55250-069-1
                                        51
M_BS P01                                      6 hours/week           3 credits
52