목차

Defining and Collecting Data

[01] Defining and Collecting Data, part1

learn [01]

• Objectives
• Definition Of Some Terms
  • 데이터의 타입
  • 데이터의 출처
  • 데이터의 범위
  • 정형, 비정형 데이터
• After Collection It Is Often Helpful To Recode
• Types of Samples
• Types of Survey Errors
• 관련 문제 풀어보기

[01] Defining and Collecting Data, part2

learn [02]

• Organizing
  • Categorical Data
    • One Categorical Variable
    • Two Categorical Variables
  • Numerical Data
• Visualizing
  • Categorical Data
    • Summary Table For One Variable
    • Summary Table For Two Variable
  • Numerical Data
    • Ordered Array
    • Frequency Distributions and Cumulative Distributions
  • Two Numerical Data

Numerical Descriptive Measures (수치적 기술 방법)

[03] Numerical Descriptive Measures 1

learn [03]

• central tendency
  • Mean
  • Median
  • Mode
• variation
  • Range
  • Sample Variance
  • Sample Standard Deviation
  • Coefficient of Variation
  • Z-Score
• shape
  • Skewness
  • Kurtosis

[04] Numerical Descriptive Measures 2

learn [04]

• Exploring Numerical Data
  • Quartile Measures
• population
  • mean µ
  • Variance σ2
  • The Empirical Rule
  • Chebyshev Rule
• Two Measures Of The Relationship
  • Covariance
  • Coefficient of Correlation

[05] Basic Probability

learn [05]

• Basic Probability Concepts
  • Assessing Probability
  • EVENT
  • Probability
  • Exclusive Events
  • Computing
• Conditional Probabilities
• PLUS
• Bayes’ Theorem
• Counting Rules

[06] Discrete Probability Distributions

learn [06]

• INTRO
• Discrete Variables
• Probability Distributions
  • Bernoulli distribution
    • Mean
    • Variance & Standard Deviation
  • Binomial Distributions
    • Mean
    • Variance & Standard Deviation
  • Poisson Distributions
    • Mean
    • Variance & Standard Deviation
• 문제

[07] The Normal Distribution

learn [07]

• Continuous Probability Distributions
• The Normal Distribution
• The Standardized Normal
• Finding Normal Probabilities
• 문제

Sampling Distributions

[08] Sampling Distributions of the Mean

learn [08]

• Sampling Distributions
• Sampling Distributions of the Mean
  • Standard Error of the Mean
  • Central Limit Theorem
  • Example

[09] Sampling Distributions of the Proportion

learn [09]

• Sampling Distributions
• Sampling Distributions of the Proportion
  • Example
• 문제

One-Sample Tests

[10] Hypothesis & Z-Test

learn [10]

• 개요
• INTRO
• What is a Hypothesis?
  • The Null Hypothesis, \(H_0\)
  • The Alternative Hypothesis, \(H_1\)
• The Hypothesis Testing Process
• Z-Test of Hypothesis for the Mean
  • Critical Value approach
  • p-Value approach
• Risks in Decision Making Using Hypothesis Testing
• 문제

[11] 𝜎 Unknown (t test)

learn [11]

• Fundamentals of Hypothesis Testing: One-Sample Tests
• 개요
• INTRO
• t Test of Hypothesis for the Mean
• When we use
  • Critical Value approach
  • example

[12] one tail test

learn [12]

• Fundamentals of Hypothesis Testing: One-Sample Tests
• 개요
• INTRO
• One-Tail Tests 종류
  • Lower-Tail Tests
  • Upper-Tail Tests
• Example: Upper-Tail t Test for Mean (𝜎 unknown)
  • PROBLEM
  • SOLVE 1
  • SOLVE 2: p-value

[13] Hypothesis Tests for Proportions

learn [13]

• Fundamentals of Hypothesis Testing: One-Sample Tests
• 개요
• INTRO
• Hypothesis Tests for Proportions
• Proportions
• Example: Z Test for Proportion
  • PROBLEM
  • SOLVE 1
  • SOLVE 2: p-value
• 문제

Two-Sample Tests

[14] Independent samples

learn [14]

• Fundamentals of Hypothesis Testing: Two-Sample Tests
• 개요
  • 결정 방법
  • 각각 구하는 식
• Comparing the mean of Two Independent Populations
  • σ(퍼짐의 정도)를 알 때
  • σ(퍼짐의 정도)를 모를 때
    • Pooled-Variance t-test
    • Separate-variance t-test
• Independent Sample
• Example: Pooled-Variance t-test
  • PROBLEM
  • SOLVE 1
• 문제

[15] Related Populations

learn [15]

• Fundamentals of Hypothesis Testing: Two-Sample Tests
• 개요
  • 결정 방법
  • 각각 구하는 식
• Comparing the mean of Two Related Populations
  • σ(퍼짐의 정도)를 알 때
  • σ(퍼짐의 정도)를 모를 때
• Related Sample
• How to Solve
  • Example 1: σ(퍼짐의 정도)를 알 때
  • SOLVE
  • Example 2: σ(퍼짐의 정도)를 모를 때
  • SOLVE

[16] Population proportion

learn [16]

• Fundamentals of Hypothesis Testing: Two-Sample Tests
• 개요
  • 결정 방법
  • 각각 구하는 식
• Comparing the mean of Population proportion
  • Population proportion
  • 정규화 조건
  • tail
• How to Solve
  • Example
  • SOLVE

[17] Population Variance

learn [17]

• Fundamentals of Hypothesis Testing: Two-Sample Tests
• 개요
  • 결정 방법
  • 각각 구하는 식
• Comparing the mean of Population Variance
  • Population Variances
• The F Distribution
  • 분포 모양
• How to Solve
  • Example
  • SOLVE
• 문제

[18] ANOVA

learn [18]

• Fundamentals of Hypothesis Testing
• General ANOVA Setting
  • One-Way Analysis of Variance
  • Hypotheses of One-Way ANOVA
• Partitioning the Variation
  • SST
  • SSA
  • SSW
• ANOVA F Test Statistic
  • Interpreting One-Way ANOVA F Statistic
• One-Way ANOVA Table
• How to Solve
  • Example
  • SOLVE
• 문제