Statistics I

Course Title: Statistics I
Course no: STAT-108                                                                                                                          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 Applied Statistical Technique and its applications.

Goal: This course makes student able to understand Applied Statistical Techniques and their applications in the allied areas.

Course Contents:

Unit 1. Sampling Technique                                                                                     10 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; Multistage Sampling; Estimation of population total and its Variance.

Unit 2. Non Parametric Test                                                                                      16 Hrs.

Chi-square test: Test of goodness of fit; Test for independence (Categorical Data). Definition of Order Statistics; Run Test; Sign Test; Wilcoxon Matched Pairs Signed Ranks Test; Mann-Whitney U Test; Median Test; Kolmogorov Smirnov Test (One Sample Case); Cochran Q Test; Kruskl Wallis One way ANOVA Test; Friedman Two way ANOVA Test.

Unit 3. Correlation and Regression Analysis                                                           19 Hrs.

Partial and Multiple Correlations; Multiple Linear Regressions: Assumptions; Coefficient Estimation, and Significance Test; Coefficient of Determination; Cobb-Dauglas Production Function; Growth Model; Logistic Regression; Autoregressive Model of order One, and Appraisal of Linear Models (Heteroscedasticity, Multicolinearity, Autocorrelation).

Note:

• Theory and practice should go side by side.
• It is recommended 45 hours for lectures and 15 additional hours for tutorial class for completion of the course in the semester
• SPSS Software should be used for data analysis.
• Home works and assignments covering the lecture materials will be given throughout the semester.

Text Books:

• Draper, N. and H. Smith, Applied Regression Analysis, 2nd edition, New York: John Wiley & Sons, 1981.
• Hogg & Tanis, Probability & Statistical Inference, 6th edition, First Indian Reprint, 2002.
  
• Gujaratii, D. Basic Econometrics, International edition, 1995
  
• Gibbons, J.D. Nonparametric Statistical Inference. International Student Edition.
  
• Siegel, S. Nonparametric Statistics for the Behavioral Sciences. McGraw-Hill, New York
  

References:
                  Hollander, M. & Wolfe, Nonparametric Statistical Methods. Johns Wiley & Sons, New York

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