BASIC STATISTICS

STATISTICS

Statistics Course Overview 

 

Chapter 1

Section 1: Three Reasons to Study Statistics

Section 2: The Nature and Role of Variability

Sectio 3: Statistics and Data Analysis

Section 4: Types of Data and Some Simple Graphical Displays

 

 

Chapter 2:  Observation and Experimentation

  1. Overview of methods of data collection
  2. Planning and conducting surveys
  3. Planning and conducting experiments
  4. Generalizability of results and types of conclusions that can be drawn

Section 2: Sampling GCE: Generating random integers

Section 3: Statistics Studies: Observation and Experimentation: Randomization

Section 4: Simple Comparative Experiments

Section 5: More on Experimental Design

Section 6: More on Observational Studies: Designing Surveys

Section 7: Communicating and Interpreting the Results of Statistical Analyses


 

Chapter 3: Graphical Methods for Describing Data

Section 1: Displaying Categorical Data: Comparative Bar Charts and Pie

Section 2: Displaying Numerical Data: Stemand-Leaf Displays

Section 3: Displaying Numerical Data: Frequency Distributions and Histograms

Section 4: Displaying Bivariate Numerical Data

Section 5: Communicating and Interpreting the Results of Statistical Analyses


Chapter 4: Numerical Models for Describing Data

Section 1: Describing the Center of a Data Set

Section 2: Describing Variability in a Data Set GCE: Quartiles

Section 3: Summarizing a Data Set: Boxplots (five number summary)

Section 4: Interpreting Center and Variability: Chebyshev’s Rule,

the Empirical Rule, and z Scores GCE: z-scores

Section 5: Communicating and Interpreting the Results of Statistical Analyses

———————————————-

Section 1: Correlation GCE: Linear regression on the calculator

Section 2: Linear Regression: Fitting a Line to Bivariate Data

Section 3: Assessing the Fit of a Line GCE: Residuals

Section 4: Nonlinear Relationships and Transformations FR: 1999 FR#1, 2000 FR#1

Section 5: Communicating and Interpreting the Results of Statistical Analyses


Chapter 5

 

Chapter 6: Probability

Section 1: Chance Experiments and Events

Section 2: Definition of Probability GCE: Simulating Independent Events

Section 3: Basic Properties of Probability

Section 4: Conditional Probability

Section 5: Independence

Section 6: Some General Probability Rules

Section 7: Estimating Probabilities Empirically and Using Simulation


 

Chapter 7: Random Variables and Probability Distributions

Section 1: Random Variables GCE: Discrete probability distributions

Section 2: Probability Distributions for Discrete Random Variables: Binomial probability calculations

Section 3: Probability Distributions for Continuous Random Variables: Geometric probability calculations

Section 4: Mean and Standard Deviation of a Random Variable

Section 5: The Binomial and Geometric Distributions

Section 6: Normal Distributions

Section 7: Checking for Normality and Normalizing Transformations

Section 8: Using the Normal Distribution to Approximate a Discrete Distribution

 

 

Chapter 8: Sampling Variability and Sampling Distributions

Section 1: Statistics and Sampling Variability

Section 2: The Sampling Distribution of a Sample Mean

Section 3: The Sampling Distribution of a Sample Proportion

 

Chapter 9: Estimation Using a Single Sample

Chapter 9 Section 1: Point Estimation

Section 2: Large-Sample confidence Interval for a Population Proportion

Section 3: Confidence Interval for a Population Mean

Section 4: Communicating and Interpreting the Results of Statistical Analyses

 

Chapter 10: Hypothesis Testing Using a Single Sample

Section 1: Hypotheses

Section 2: Errors in Hypothesis Testing

Section 3: Large-Sample Hypothesis Tests for a Population Proportion

 

Chapter 11: Comparing Two Populations or Treatments

Section 2: Inferences Concerning the difference Between Two Population or Treatment Means Using Paired Samples

Section 3: Large-Sample Inferences Concerning a Difference Between Two Population or Treatment Proportions

Section 4: Distribution-Free Procedures for Inferences Using Independent Samples

Section 5: Communicating and Interpreting the Results of Statistical Analyses

 

Chapter 12: The Analysis of Categorical Data and Goodness-of-Fit Tests & Chi-Square Tests

Section 1: Chi-Square Tests for Univariate Categorical Data GCE: The goodness-of fit

Section 2: Tests for Homogeneity and Independence in a TwoWay Table

Section 3: Communicating and Interpreting the Results of Statistical Analyses

 

Chapter 13: Simple Linear Regression and Correlation: Inferential Methods

Section 1: The Simple Linear Regression Model

Section 2: Inferences About the Slope of the Population Regression Line

Section 3: Checking

Section 4: Inferences Based on the Estimated Regression Line

Section 5: Inferences About the Population Correlation Coefficient

Section 6: Communicating and Interpreting the Results of Statistical Analyses Preparing for the AP Exam

 

Chapter 14: Multiple Regression Analysis

Section 1: Multiple Regression Models o

Section 2: Fitting a Model and Assessing its Utility

Section 3: Inferences Based on an Estimated Model

Section 4: Other Issues in Multiple Regression

Section 5: Communicating and Interpreting the Results of Statistical Analyses

 


 

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