Math 453

Mathematical Statistics

Introduction

• San Bernardino, CA

• CSU Monterey Bay

  • BS Biology

• San Diego State University

  • Master’s in Public Health

• UC Riverside

  • PhD in Applied Statistics

Introductions

• Name

• Year

• Major

• Fun Fact

• Career Goal

Learning Objectives

• Define and identify population, sample, parameter, and statistics

• Define and identify different variable types (quantitative and categorical)

• Define concept of random samples and sampling methods

Website and Syllabus

Outline

Fundamental of Statistics

• Fundamental of Statistics

• Fundamentals of Statistical Inference

• Sampling Techniques

Fundamental of Statistics

• Observational Unit

• Variable

  • Types of Variables

    • Quantitative

    • Categorical

  • Roles of Variables

    • Predictors

    • Outcome

Observational Unit

Type of Variable - Quantitative

Type of Variable - Qualitative

Predictor Variables

Outcomes

Fundamentals of Statistical Inference

• Fundamental of Statistics

• Fundamentals of Statistical Inference

• Sampling Techniques

Fundamental of Statistical Inference

• Categorical Variables

  • Proportions

    • p or \(\pi\)

    • \(\hat p\)

• Continuous Variables

  • Means or Averages

    • \(\mu\)

    • \(\hat \mu\) or \(\bar X\)

  • Variances

    • \(\sigma^2\)

    • \(\hat \sigma^2\) or \(s^2\)

Sampling Techniques

• Fundamental of Statistics

• Fundamentals of Statistical Inference

• Sampling Techniques

Sampling Techniques

• Simple Random Sampling

• Stratified Sampling

• Cluster Sampling

• Multistage Sampling