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AP Statistics Course Outline

AP Statistics Course Outline

1.0 Credit

The purpose of the AP course in statistics is to introduce students to the major concepts and toolsfor collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes:

  • Exploring Data: Describing patterns and departures from patterns.
  • Sampling and Experimentation: Planning and conducting a study.
  • Anticipating Patterns: Exploring random phenomena using probability and simulation.
  • Statistical Inference: Estimating population parameters and testing hypotheses.

1- Introduction

  • Introduction
  • Course Description
  • Calculator Resources
  • MLA Formatting Word 2007
  • MLA Documentation updates
  • MLA Citation
  • MLA Incorporating Sources

2- Unit 1: Introduction to Statistics

  • What are Statistics?
  • Importance of Statistics
  • Descriptive Statistics
  • Inferential Statistics
  • Variables
  • Percentiles
  • Levels of Measurement
  • Assignment: What’s My Data Type?
  • Basics of Data Collection
  • Distributions
  • Summation Notation
  • Linear Transformations
  • Additional Readings
  • Handout: Unit 1 Exercises
  • Assignment: Sampling Methods and Bias
  • Assignment: Unit 1 Exercises

3- Unit 2: Graphing Distributions

  • Introduction to Graphing Distributions
  • Qualitative Variables
  • Quantitative Variables
  • Stem & Leaf Displays
  • Histograms
  • Frequency Polygons
  • Box Plots
  • Bar Charts
  • Additional Readings
  • Handout: Unit 2 Exercises
  • Assignment: Using Data to Make Good Decisions
  • Assignment: Unit 2 Exercises

4- Unit 3: Summarizing Distributions

  • Introduction to Central Tendency
  • What is Central Tendency?
  • Measures of Central Tendency
  • Median & Mean
  • Assignment: Mean and Median: Are They Stable?
  • Additional Measures
  • Introduction to Variability
  • Measures of Variability
  • Shape
  • Effects of Transformations
  • Variance Sum Law I
  • Additional Readings
  • Handout: Unit 3 Exercises
  • Assignment: Changing Data: Effects of Variability
  • Assignment: Unit 3 Exercises

5- Unit 4: Describing Bivariate Data

  • Introduction to Bivariate Data
  • Values of Pearson Correlation (Correlation Coefficient)
  • Properties of Pearson’s r
  • Computing Pearson’s r
  • Variance Sum Law II
  • Additional Readings
  • Handout: Unit 4 Exercises
  • Assignment: Sentences, Words & Reading Level
  • Assignment: Unit 4 Excercises

6- Unit 5: Probability

  • Introduction to Probability
  • Basic Concepts
  • Binomial Distribution
  • Base Rates
  • Additional Readings
  • Handout: Unit 5 Exercises
  • Assignment: Unit 5 Exercises

7- Unit 6: Normal Distributions

  • Introduction to Normal Distributions
  • History of Normal Distributions
  • Areas Under Normal Distributions
  • Standard Normal Distributions
  • Normal Approximation
  • Additional Readings
  • Handout: Unit 6 Exercises
  • Assignment: Unit 6 Exercises

8- Unit 7: Sampling Distributions

  • Introduction to Sampling Distributions
  • Sampling Distribution of the Mean
  • Sampling Distribution of Difference Between Means
  • Sampling Distribution of Pearson’s r
  • Sampling Distribution of p
  • Additional Readings
  • Handout: Unit 7 Exercises
  • Assignment: Unit 7 Exercises

9- Unit 8: Mid-term Exam/Capstone Project

  • Capstone Project
  • Sample Outline
  • Brainstorming…
  • Handout: Capstone Project Proposal
  • Handout: Mid-Term Exam
  • Assignment: Capstone Project Proposal
  • Assignment: Mid-Term Exam

10- Unit 9: Estimation

  • Introduction to Estimation
  • Degrees of Freedom
  • Characteristics of Estimators
  • Introduction to Confidence Inter
  • vals
  • Confidence Interval for the Mean
  • t Distribution
  • Confidence Intervals for Difference Between Means
  • Confidence Intervals for Pearson’s Correlation
  • Confidence Interval for Proportion
  • Additional Readings
  • Handout: Unit 9 Exercises
  • Assignment: Unit 9 Exercises

11- Unit 10: Logic of Hypothesis Testing

  • Introduction to Hypothesis Testing
  • Significance Testing
  • Type I & Type II Errors
  • One- And Two-Tailed Tests
  • Interpreting Significant Results
  • Interpreting Non-Significant Results
  • Steps in Hypothesis Testing
  • Significance Testing & Confidence Intervals
  • Misconceptions
  • Additional Readings
  • Handout: Unit 10 Exercises
  • Assignment: Unit 10 Exercises

12- Unit 11: Testing Means

  • Testing a Single Mean
  • Difference Between Two Means (Independent Groups)
  • Pairwise Comparisons Among Means
  • Specific Comparisons
  • Difference Between Means (Correlated Pairs)
  • Specific Comparisons (Correlated Pairs)
  • Pairwise Comparisons (Correlated Pairs)
  • Additional Readings
  • Handout: Unit 11 Exercises
  • Assignment: Unit 11 Exercises

13- Unit 12: Power

  • Introduction to Power
  • Example Calculations
  • Factors Affecting Power
  • Additional Readings
  • Handout: Unit 12 Exercises
  • Assignment: Unit 12 Exercises

14- Unit 13: Prediction

  • Introduction to Simple Linear Regression
  • Partitioning Sums of Squares
  • Standard Error of the Estimate
  • Inferential Statistics for b and r
  • Influential Observations
  • Regression Toward the Mean
  • Introduction to Multiple Regression
  • Additional Readings
  • Handout: Unit 13 Exercises
  • Assignment: Unit 13 Exercises

15- Unit 14: ANOVA

  • Introduction to ANOVA
  • ANOVA Designs
  • One-Factor ANOVA (Between Subjects)
  • Multi-Factor ANOVA (Between Subjects)
  • Unequal Sample Sizes
  • Tests Supplementing ANOVA
  • Within-Subjects ANOVA
  • Additional Readings
  • Handout: Unit 14 Exercises
  • Assignment: Unit 14 Exercises

16- Unit 15: Chi Square

  • Chi Square Distribution
  • One-Way Tables
  • Contingency Tables
  • Additional Readings
  • Handout: Unit 15 Exercises
  • Assignment: Unit 15 Exercises

17- Unit 16: Capstone Project

  • Capstone Project
  • Sample Outline
  • Assignment: Capstone Project

18- Unit 17: Course Review / AP Statistics Exam

  • About the AP Statistics Exam
  • AP Statistics Exam Resources
  • Handout: Final Exam
  • Assignment: Final Exam

19- Course Survey

  • Handout: Course Survey
  • Assignment: Course Survey
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