## Description

### Quantitative Analysis

Quantitative Analysis for CPA Section 4 is a KASNEB course. It will help learners to use quantitative analysis tools in business operations and decision making.

We provide the best and free Quantitative Analysis PDF notes for CPA Section 4 and past papers. Download free CPA Quantitative Analysis Section 4 PDF notes now.

We have free KASNEB CPA Quantitative Analysis Section 4 past papers for the new KASNEB syllabus 2021. We are the largest repository in Kenya offering free KASNEB notes and revision papers.

To pass KASNEB CPA Section 4 Quantitative Analysis New Syllabus 2021 exam, the student should cover the following topics:

- Mathematical techniques
- Functions – Functions, equations and graphs: Linear, quadratic, cubic, exponential and logarithmic
- Matrix algebra – Types and operations (addition, subtraction, multiplication, transposition and inversion) – Application of matrices: statistical modeling, Markov analysis, input-output analysis.
- Calculus Differentiation – Rules of differentiation (general rule, chain, product, quotient) – Differentiation of exponential and logarithmic functions – Higher order derivatives: turning points (maxima and minima) – Ordinary derivatives and their applications – Partial derivatives and their applications – Constrained optimization; lagrangian multiplier
- Integration – Rules of integration
- Probability
- Set theory – Types of sets – Set description: enumeration and descriptive properties of sets – Operations of sets: union, intersection, complement and difference – Venn diagrams
- Probability theory and distribution Probability theory – Types of events: elementary, compound, dependent, independent, mutually exclusive, exhaustive, mutually inclusive, Laws of probability: additive and multiplicative rules – Baye’s Theorem – Probability trees – Expected value, variance, standard deviation and coefficient of variation using frequency and probability
- Probability distributions – Discrete and continuous probability distributions (uniform, normal, binomial, poisson and exponential)
- Hypothesis testing and estimation – Hypothesis tests on the; Hypothesis tests on proportions – Hypothesis tests on the difference between; Hypothesis tests on the difference between means (matched pairs) – Hypothesis tests on the difference between two proportions
- Correlation and regression analysis Correlation analysis – Scatter diagrams – Measures of correlation –product moment and rank correlation coefficients (Pearson and Spearman) – Regression analysis – Simple and multiple linear regression analysis – Assumptions of linear regression analysis – Coefficient of determination, standard error of the estimate, standard error of the slope, t and F statistics – Computer output of linear regression: T-ratios and confidence interval of the coefficients – Analysis of Variances (ANOVA)
- Time series – Components of time series (circular, seasonal, cyclical, irregular/ random, trend) – Application of time series – Methods of fitting trend: free hand, semi-averages, moving averages, least squares methods – Models – additive and multiplicative models – Measurement of seasonal variation using additive and multiplicative models – Forecasting time series value using moving averages, ordinary least squares method and exponential smoothing – Comparison and application of forecasts for different techniques – Trend projection methods: linear, quadratic and exponential
- Linear programming – Definition of decision variables, objective function and constraints – Assumptions of linear programming – Solving linear programming using graphical method – Solving linear programming using simplex method – Sensitivity analysis and economic meaning of shadow prices in business situations, Interpretation of computer assisted solutions – Transportation and assignment problems
- Decision theory – Decision making environment: deterministic situation (certainty) – Decision making under risk – expected monetary value, expected opportunity loss, risk using coefficient of variation, expected value of perfect information – Decision trees – sequential decision, expected value of sample information – Decision making under uncertainty – maximin, maximax, minimax regret, Hurwicz decision rule, Laplace decision rule
- Game theory – Assumptions of game theory – Zero sum games – Pure strategy games (saddle point) – Mixed strategy games (joint probability approach) – Dominance, graphical reduction of a game – Value of the game – Non zero sum games – Limitations of game theory
- Network planning and analysis – Basic concepts – network, activity, event – Activity sequencing and network diagram – Critical path analysis (CPA) – Float and its importance – Crashing of activity/project completion time – Project evaluation and review technique (PERT) – Resource scheduling (leveling) and Gantt charts – Advantages and limitations of CPA and PERT
- Queuing theory – Components/elements of a queue: arrival rate, service rate, departure, customer behavior, service discipline, finite and infinite queues, traffic intensity – Elementary single server queuing systems – Finite capacity queuing systems – Multiple server queues
- Simulation – Types of simulation – Variables in a simulation model – Construction of a simulation model – Monte Carlo simulation – Random numbers selection – Simple queuing simulation: single server, single channel “first come first served” (FCFS) model – Application of simulation models

KASNEB students should grasp the foundations of Quantitative Analysis in preparation for exposure to the business environment. Students taking other KASNEB courses like Certified Credit Professional (CCP), Certified Investment and Financial Analyst (CIFA), among other KASNEB certified courses will find these resources helpful.

Many students and colleges have benefited from the resources offered by the Pass Exams Team.

Other units or courses in KASNEB CPA Section 4 include:

After completion of KASNEB CPA Section 4, the student advances to KASNEB CPA Section 5 which has the following units:

Free KASNEB CPA Section 4 notes PDF and past papers PDF and Free KASNEB CPA Section 5 notes PDF and past papers PDF are available for the above units.

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