Course breakdown

• 4cfu Probability
• 4cfu Statistics
• 2cfu Analysis

Outline

• Descriptive Statistics
  • Definitions
  • Qualitative and Quantitative data
• Categorical data
  • Frequency Table
  • Index
  • Plots
• Quantitative data
  • Frequency Table
  • Index
    • Tendency Measures: Mean, Median, Mode
    • Variability Measures: Range, Variance, Standard Dev. and Interquartile
    • Range
  • Plots
• Bivariate Data and Correlation

Descriptive stats

Population

Sample

Attributes

There are two main flavour of data:

1. Quantitative

2. Categorical

   • Discrete data
   • Continuous data

Categorical Data

Frequency Tables

Absolute cumulative fequencies:

$F_i = \sum_{k}^{} a_n z^n$ where $F_k$ is the fequency of category $S_k$

Relative cumulative fequencies:

$P_i = \sum_{k} a_n z^n$ where $f_k$ is the fequency of category $S_k$

Categorical data can only can only be plotted in two ways:

1. Pie Charts
2. Bar Charts

Quantitative Data

Book

S. Ross - Probability adn statistics for engineers and science

List of Lecture content

1. Descriptive Statistics
2. Probability definition
3. Combinatorial Analysis
4. Combinatorics & conditional probability
5. Bayes Formula
6. Random variables
7. Continuous Random Variables
8. Normal Distribution
9. Joint distributions
10. Limit theorems
11. Point estimation
12. MLE
13. Confidence interval
14. Hypothesis testing
15. Linear regression