Lecture 1

Tectbooks

Evaluation

Course Objectives

Pillars of the course

• 6 pillars
  • Recall from MATH F113
    • statistical inference for 2 or more populations
  • ANOVA (Analysis of Variance)
  • Regression Analysis - (MATH F113 - SLRMs - Simple Linear Regression Models)
  • Factor analysis and Cluster analysis
  • Time Series Analysis and Forecasting
  • SQC (Statistical Quality Control)

What to revisit

• MATH F113
• Parameter Estimation
• Max Likelihood Estimation
• MOM
• Hypothesis testing
  • for one population
  • whether null hypothesis can be rejected or accepted

Examples

• observed population proportion
  • from bank 1 p1_ 10/40
  • from bank 2 p2_ 22/50
• Hypothesis, are these proportions same

H0: p1 = p2 H1: p1 != p2

or

H0: p1 >= p2 H1: p1 < p2

• in both cases, it is for 2 sample proportion

• While collecting data make sure sample data are IID = Independent, Identically Distributed
• In gem, I feel female community prefers light drink and male gen prefer regular or dark, but not light
• As a manager of beer industry, I would like to know if preferences are dependent on Gender of person
• for such analysis, we will use this course

• ANOVA = A collection/set of statistical test to analyze whether there is a difference between population means of three or more groups