Fundamentals of Prob. & Statistics

Unit I: Introduction ————————————————————– 3 hours

1. 1. Statistics and data
   2. Quantitative and categorical variables
   3. Fundamental elements of a statistical analysis

Unit II: Data Collection ——————————————————— 4 hours

1. 1. Sources of data
   2. Experimental research
   3. Survey research
   4. Questionnaire
   5. Data preparation:
      1. Editing
      2. Coding
      3. Transcribing

Unit III: Tables and Charts —————————————————- 4 hours

1. 1. Steam-and-leaf display
   2. Frequency distribution
   3. Relative frequency distribution
   4. Cumulative
   5. Polygon
   6. Time-plots

Unit IV: Summarizing and Describing Numerical Data —————— 5 hours

1. 1. Measure of central tendency:
      1. Mean
      2. Median
      3. Mode
      4. Mid-hinge
   2. Measures of variation:
      1. Range
      2. Inter quartile range
      3. Standard deviations
      4. Coefficient of variations
   3. Shape five-number summary
   4. Box-and-whisker plot

Unit V: Probability ————————————————————— 5 hours

1. 1. Basic concepts
   2. Counting rules
   3. Objective and subjective probability
   4. Marginal and joint probability
   5. Addition rule
   6. Conditional probability
   7. Multiplication rules
   8. Bays’ Theorem

Unit VI: Discrete Probability Distribution ———————————- 5 hours

1. 1. Random variables
   2. Mean and standard deviation of discrete random variables,
   3. Mathematical
   4. Expectation
   5. Binomial distribution
   6. Poisson distribution

Unit VII: Continuous Probability Parameters —————————– 5 hours

1. 1. Normal distribution and its applications
   2. Assessing normality
   3. Normal approximation of binomial and Poisson distribution

Unit VIII: Estimation of Population Parameters ————————– 5 hours

1. 1. Law of large numbers
   2. Central limit theorem
   3. Statistical confidence
   4. Confidence intervals
   5. Confidence for means and populations

Unit IX: Hypothesis Testing —————————————————- 6 hours

1. 1. Testing of significance
   2. P-value approach to hypothesis testing
   3. Connection between confidence intervals and hypothesis testing
   4. Comparing two means (two sample z and t- test procedures)
   5. Comparing two proportions

Unit X: Correlation and Regression Analysis —————————— 6 hours

1. 1. Correlation Coefficient
   2. Properties
   3. Simple Linear Regression Model
   4. Residual Analysis
   5. Coefficient of Determination
   6. Standard Error

Text Books:

1. 1. Levin, Richard I. And David S. Rubin: Statistics for Management, Prentice-Hall of India