MBAQ-104: Quantitative Techniques

MBAQ-104: Quantitative Techniques

The learning units for this course are listed below:

UnitObjectives
1Measures of Central Tendency: the concept and significance of measures of central tendency; to compute various measures of central tendency, such as arithmetic mean,
weighted arithmetic mean, median, mode, geometric mean and harmonic mean; to compute several quantiles such as quartiles, deciles and percentiles & the relationship among various averages. [Link]
2Measures of Variation and Skewness: the concept and significance of measuring variability; the concept of absolute and relative variation; the computation of several measures of variation, such as the range, quartile; deviation, average deviation and standard deviation and also their coefficients; the concept of skewness and its importance & the computation of coefficient of skewness. [Link]
3Correlation: understand the meaning of correlation; compute the correlation coefficient between two variables from sample
observations; test for the significance of the correlation coefficient; identify confidence limits for the population correlation coefficient from the observed sample correlation coefficient & become aware of the concept of auto-correlation and its application in time series analysis. [Link]
4Regression: understand the role of regression in establishing mathematical relationships between dependent and independent variables from given data; use the least squares criterion to estimate the model parameters; establish confidence intervals for the forecast values and estimates of parameters and make meaningful forecasts from given data by fitting any function, linear in unknown parameters. [Link]
5Correlation and Regression Analysis: scatter diagram; covariance between two variables; correlation coefficient; least square estimation method of regression; and partial and multiple correlation and regression. [Link]
6Assignment Problems: formulate an assignment problem; determine the optimal solutions of assignment problems using the Hungarian method; and solve the travelling salesman problem as an assignment problem. [Link]
7Transportation Problems: define a transportation problem; state the conditions for performing optimality test; and solve the transportation problems for special cases such as unbalanced transportation problem, case of degeneracy, case of alternative solutions, maximisation transportation problem, problems with prohibited routes. [Link]
8PERT/ CPM: appreciate problems involved in planning, scheduling and controlling of projects; list and discuss the special terms developed for this unit, namely activity,
event, dummy activity, critical activity, slack, critical path and float; compute slack and float, and estimate the probability of completing a project by a certain target date. [Link]