Statistics II

Course Title: Statistics II

Course no: STA-152                                                                        Full Marks: 60+20+20

Credit hours: 3                                                                     Pass Marks: 24+8+ 8

Nature of course: Theory (3 Hrs.) + Lab (3 Hrs.)

Course Synopsis:       Concept of Sample Survey and Design, and their applications.

Goal:  This course makes students able to understand the concept of Sample Survey and             Design, and their applications in the area of Science and Technology.

Course Contents:

Unit 1: Sample Survey                                                                                   10 Hrs.

Concept of Population and Sample; Needs of Sampling; Censuses and Sample Survey; Basic Concept of Sampling; Organizational Aspect of Sample Survey; Questionnaire Design; Sample Selection and Determination of Sample Size; Sampling and Non Sampling Errors.

 

Unit 2: Sample Survey Methods                                                                   13 Hrs.

Types of Sampling; Simple Random Sampling with and without Replacement; Stratified Random Sampling; Ratio and Regression Method of Estimation under Simple and Stratified Random Sampling; Systematic Sampling; Cluster Sampling; Multistage Sampling; Probability Proportion to Size Sampling (PPS), Estimation of population total and its Variance

 

Unit 3: Design of Experiment                                                                        5 Hrs.

 

Concept of Analysis of Variance (ANOVA), F -Statistic and its Distribution, Linear Model in ANOVA, Analysis of One way, Two Way Classification (1 and m observations per cell) in Fixed Effect Model.

 

Unit 4: Simple Design                                                                                    10 Hrs.

Need for Design of Experiment, Fundamental Principles of Design, Completely Randomized Design (CRD), Randomized Block Design (RBD), Latin Square Design (LSD) and their Analysis; Missing Plot Techniques for RBD and LSD (One Observation Missing Only).

 

Unit 5: Factorial Design                                                                                7 Hrs.

2², 2³ and 3² Designs; Main Effects and Interaction Effects; Confounding in 2³ Factorial Design

Text Books:   

·        Mukhopadhyay P., Theory and Methods of Survey Sampling, Prentice Hall of India, New Delhi, 1998.

·        Montgomery Douglas C., Design and Analysis of Experiments, 5th edition, John Wiley & Sons Inc., 2001.

·         Cochran W.G., Sampling Techniques, 3rd edition, John Wiley and Sons, Inc. New York, 1977.

References:

·        Kempthorane, O., Design and Analysis of Experiments, Wiley Eastern, New York.

·        Desraj, Pramod Chandhok, Sample Survey Theory, Narosa Publishing House, 1998.

Note:      

1.                  Theory and practice should go side by side.

2.                  It is recommended 45 hours for lectures and 15 additional hours for tutorial class for   completion of the course in the semester.

3.                  SPSS Software should be used for data analysis.

4.                  Home works and assignments covering the lecture materials will be given   throughout the semester.