Introduction to Statistics

Introductions

• 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

Fundamental of Statistics

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

Activity

• How many Harry Potter books have you read?

• With which hand do you write?

• How many hours have you slept in the past 24 hours?

• Have you have slept for at least 7 hours in the past 24 hours?

• Which college is your major in?

• How many states have you visited?

Activity

• What is the average number of Harry Potter books read by a student in this class?

• What percentage of students in this class are left-handed?

Fundamental of Statistical Inference

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

Sampling Techniques

• Simple Random Sampling

• Stratified Sampling

• Cluster Sampling

• Multistage Sampling

Simple Random Sampling

Stratified Sampling

Cluster Sampling

Multistage Sampling