The Role Of Statistics And The Data Analysis Process | |

Why Study Statistics | |

The Nature and Role of Variability | |

Statistics and the Data Analysis Process | |

Types of Data and Some Simple Graphical Displays | |

Collecting Data Sensibly | |

Statistical Studies: Observation and Experimentation | |

Sampling | |

Simple Comparative Experiments | |

More on Experimental Design | |

More on Observational Studies: Designing Surveys (Optional) | |

Interpreting and Communicating the Results of Statistical Analyses | |

Graphical Methods For Describing Data | |

Displaying Categorical Data: Comparative Bar Charts and Pie Charts | |

Displaying Numerical Data: Stem-and-Leaf Displays | |

Displaying Numerical Data: Frequency Distributions and Histograms | |

Displaying Bivariate Numerical Data | |

Interpreting and Communicating the Results of Statistical Analyses | |

Numerical Methods For Describing Data | |

Describing the Center of a Data Set | |

Describing Variability in a Data Set | |

Summarizing a Data Set: Boxplots | |

Interpreting Center and Variability: Chebyshev's Rule, the Empirical Rule, and z Scores | |

Interpreting and Communicating the Results of Statistical Analyses | |

Summarizing Bivariate Data | |

Correlation | |

Linear Regression: Fitting a Line to Bivariate Data | |

Assessing the Fit of a Line | |

Nonlinear Relationships and Transformations | |

Logistic Regression (Optional) | |

Interpreting and Communicating the Results of Statistical Analyses | |

Probability | |

Chance Experiments and Events | |

Definition of Probability | |

Basic Properties of Probability | |

Conditional Probability | |

Independence | |

Some General Probability Rules | |

Estimating Probabilities Empirically Using Simulation | |

Random Variables And Probability Distributions | |

Random Variables | |

Probability Distributions for Discrete Random Variables | |

Probability Distributions for Continuous Random Variables | |

Mean and Standard Deviation of a Random Variable | |

Binomial and Geometric Distributions | |

Normal Distributions | |

Checking for Normality and Normalizing Transformations | |

Using the Normal Distribution to Approximate a Discrete Distribution | |

Sampling Variability And Sampling Distribution | |

Statistics and Sampling Variability | |

The Sampling Distribution of a Sample Mean | |

The Sampling Distribution of a Sample Proportion | |

Estimation Using A Single Sample | |

Point Estimation | |

Large-Sample Confidence Interval for a Population Proportion | |

Confidence Interval for a Population Mean | |

Interpreting and Communicating the Results of Statistical Analyses | |

Hypothesis Testing Using A Single Sample | |

Hypotheses and Test Procedures | |

Errors in Hypotheses Testing | |

Large-Sample Hypothesis Tests for a Population Proportion | |

Hypotheses Tests for a Population Mean | |

Power and Probability of Type II Error | |

Interpreting and Communicating the Results of Statistical Analyses | |

Comparing Two Populations Or Treatments | |

Inferences Concerning the Difference Between Two Population or Treatment Means Using Independent Samples | |

Inferences Concerning the Difference Between Two Population or Treatment Means Using Paired Samples | |

Large Sample Inferences Concerning a Difference Between Two Population or Treatment Proportions | |

Interpreting and Communicating the Results of Statistical Analyses | |

The Analysis Of Categorical Data And Goodness-Of-Fit Tests | |

Chi-Square Tests for Univariate Data | |

Tests for Homogeneity and Independence in a Two-way Table | |

Interpreting and Communicating the Results of Statistical Analyses | |

Simple Linear Regression And Correlation: Inferential Methods | |

Simple Linear Regression Model | |

Inferences About the Slope of the Population Regression Line | |

Checking Model Adequacy | |

Inferences Based on the Estimated Regression Line (Optional) | |

Inferences About the Population Correlation Coefficient (Optional) | |

Interpreting and Communicating the Results of Statistical Analyses | |

Multiple Regression Analysis | |

Multiple Regression Models | |

Fitting a Model and Assessing Its Utility | |

Inferences Based on an Estimated Model (online) | |

Other Issues in Multiple Regression (online) | |

Interpreting and Communicating the Results of Statistical Analyses (online) | |

Activity 14.1: Exploring the Relationship Between Number of Predictors and Sample Size | |

Analysis Of Variance | |

Single-Factor ANOVA and the F TeSt. Multiple Comparisons | |

The F Test for a Randomized Block Experiment (online) | |

Two-Factor ANOVA (online) | |

Interpreting and Communicating the Results of Statistical Analyses (online) | |

Nonparametric (Distribution-Free Statistical Methods (Online) | |

Distribution-Free Procedures for Inferences About a Difference Between Two Population or Treatment Means Using Independent Samples (Optional) | |

Distribution-Free Procedures for Inferences About a Difference Between Two Population or Treatment Means Using Paired Samples | |

Distribution-Free ANOVA | |

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