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Statistical Methods syllabus

MSC 5145 units · 33 topicsAcademic year 2083/84
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Statistical Methods

5 units

1. Probability LH6

  1. Concept and importance of probability
    1. Concept and importance of probability
  2. Approaches to probability. Additive and multiplicative theorems
    1. approaches to probability. Additive and multiplicative theorems
  3. Conditional probability
    1. conditional probability
  4. Baye’s theorem and decision tree
    1. Baye’s theorem and decision tree.

2. Probability Distribution LH6

  1. Discrete probability distribution
    1. Discrete probability distribution: Binomial and Poisson
  2. Continuous probability distribution
    1. Continuous probability distribution: Normal Distribution and their properties along with applications.

3. Sampling and Estimation LH6

  1. Sampling techniques
    1. Sampling techniques
  2. Sampling and non-sampling errors
    1. sampling and non-sampling errors
  3. Sampling distribution
    1. sampling distribution
    2. standard error
  4. Application of standard error
    1. application of standard error
  5. Concept of central limit theorem Estimation theory
    1. concept of central limit theorem Estimation theory
  6. Criteria of good estimator
    1. criteria of good estimator
  7. Point and interval estimate
    1. point and interval estimate
  8. Relationship among errors
    1. relationship among errors
  9. Risk and sample size
    1. risk and sample size
  10. Determination of sample size
    1. determination of sample size

4. Testing of Hypothesis LH18

  1. Meaning of hypothesis testing
    1. Meaning of hypothesis testing
  2. Types of error in hypothesis testing
    1. types of error in hypothesis testing
    2. critical region
  3. One tailed and two tailed test
    1. one tailed and two tailed test
  4. Parametric Test
    1. Parametric Test: large sample test of mean and proportions
  5. Small sample test of mean
    1. small sample test of mean
    2. paired t-test
  6. Test of significance of correlation coefficient
    1. test of significance of correlation coefficient
    2. variance ratio test
  7. One way and two way Analysis of Variance (ANOVA)
    1. one way and two way Analysis of Variance (ANOVA)
  8. Non-parametric test
    1. Non-parametric test: Chi-square test of goodness of fit and independence of attributes
  9. Chi-square test for population variance
    1. chi-square test for population variance.

5. Correlation and Regression Analysis LH12

  1. Partial and multiple correlation
    1. Partial and multiple correlation
  2. Coefficient of determination
    1. coefficient of determination
  3. Concept of linear and non-linear regression
    1. concept of linear and non-linear regression
  4. Multiple regression equation
    1. multiple regression equation
  5. Standard error of estimate for multiple regression
    1. standard error of estimate for multiple regression
  6. Test of regression model and regression coefficients
    1. test of regression model and regression coefficients
  7. Auto-correlation and multicollinearity
    1. auto-correlation and multicollinearity
  8. Residual analysis
    1. Residual analysis: Linearity of the regression model
    2. Homoscedasticity
    3. Normality of error.