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AP Statistics Course Outline

1.0 Credit

The purpose of the AP course in statistics is to introduce students to the major concepts and tools for 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.

Course Outline

  • Introduction
  • Course Description
  • Calculator Resources
  • MLA Formatting Word 2007
  • MLA Documentation updates
  • MLA Citation
  • MLA Incorporating Sources
  • 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
  • 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
  • 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
  • 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
  • Introduction to Probability
  • Basic Concepts
  • Binomial Distribution
  • Base Rates
  • Additional Readings
  • Handout: Unit 5 Exercises
  • Assignment: Unit 5 Exercises
  • 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
  • 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
  • Capstone Project
  • Sample Outline
  • Brainstorming…
  • Handout: Capstone Project Proposal
  • Handout: Mid-Term Exam
  • Assignment: Capstone Project Proposal
  • Assignment: Mid-Term Exam
  • 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
  • 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
  • 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
  • Introduction to Power
  • Example Calculations
  • Factors Affecting Power
  • Additional Readings
  • Handout: Unit 12 Exercises
  • Assignment: Unit 12 Exercises
  • 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
  • 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
  • Chi Square Distribution
  • One-Way Tables
  • Contingency Tables
  • Additional Readings
  • Handout: Unit 15 Exercises
  • Assignment: Unit 15 Exercises
  • Capstone Project
  • Sample Outline
  • Assignment: Capstone Project
  • About the AP Statistics Exam
  • AP Statistics Exam Resources
  • Handout: Final Exam
  • Assignment: Final Exam
  • Handout: Course Survey
  • Assignment: Course Survey
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