Page 173 - FINAL_HANDBOOK_20242025

Faculty of Science Handbook, Academic Session 2024/2025

single population; difference Assessment:
between two means, difference Continuous Assessment: 50%
between two proportions and Final Examination: 50%
ratio of variances. Chi-square
goodness-of-fit tests and
contingency tables. SIT2008
FURTHER MATHEMATICAL
Power of a statistical test. Best STATISTICS
critical region. Likelihood ratio
test. Chebyshev's inequality. The exponential family;
Convergence in probability and sufficient, complete and
distribution. Asymptotic ancillary statistics; minimum
distribution of maximum variance unbiased estimators;
likelihood estimator. Rao- Bayesian estimation; Delta
Cramer's inequality. method for asymptotic
approximation; distributions of
Assessment: certain quadratic forms-one
Continuous Assessment: 40% and two factors analysis of
Final Examination: 60% variance; probability measure
space; law of large numbers;
Borel-Cantelli lemma.
SIT2007
FOUNDATIONS OF DATA Assessment:
SCIENCE Continuous Assessment: 40%
Final Examination: 60%
Introduction to data science;
Differences between
experimental and SIT2009
observational data; REGRESSION ANALYSIS
Characteristics of big data sets;
Sources of biases in data sets; Simple linear regression:
Introduction to industry-level, Estimation, hypothesis testing,
open source computing tools analysis of variance,
such as R; Data management; confidence intervals,
Graphical visualisation correlation, residuals analysis,
including spatial data; Analysis prediction. Model
and interpretation of real data inadequacies, diagnostics,
sets with varying degrees of heterogeneity of variance,
complexity using appropriate nonlinearity, distributional
statistical methods. assumption, outliers,
transformation. Selected
topics from matrix theory and
multivariate normal distribution.

173