Introduction | |

Introduction to statistical methodology | |

Descriptive statistics and inferential statistics | |

The role of computers in statistics | |

Chapter summary | |

Sampling and Measurement | |

Variables and their measurement | |

Randomization | |

Sampling variability and potential bias | |

other probability sampling methods | |

Chapter summary | |

Descriptive statistics | |

Describing data with tables and graphs | |

Describing the center of the data | |

Describing variability of the data | |

Measure of position | |

Bivariate descriptive statistics | |

Sample statistics and population parameters | |

Chapter summary | |

Probability Distributions | |

Introduction to probability | |

Probablitity distributions for discrete and continuous variables | |

The normal probability distribution | |

Sampling distributions describe how statistics vary | |

Sampling distributions of sample means | |

Review: Probability, sample data, and sampling distributions | |

Chapter summary | |

Statistical inference: estimation | |

Point and interval estimation | |

Confidence interval for a proportion | |

Confidence interval for a mean | |

Choice of sample size | |

Confidence intervals for median and other parameters | |

Chapter summary | |

Statistical Inference: Significance Tests | |

Steps of a significance test | |

Significance test for a eman | |

Significance test for a proportion | |

Decisions and types of errors in tests | |

Limitations of significance tests | |

Calculating P (Type II error) | |

Small-sample test for a proportion: the binomial distribution | |

Chapter summary | |

Comparison of Two Groups | |

Preliminaries for comparing groups | |

Categorical data: comparing two proportions | |

Quantitative data: comparing two means | |

Comparing means with dependent samples | |

Other methods for comparing means | |

Other methods for comparing proportions | |

Nonparametric statistics for comparing groups | |

Chapter summary | |

Analyzing Association between Categorical Variables | |

Contingency Tables | |

Chi-squared test of independence | |

Residuals: Detecting the pattern of association | |

Measuring association in contingency tables | |

Association between ordinal variables | |

Inference for ordinal associations | |

Chapter summary | |

Linear Regression and Correlation | |

Linear relationships | |

Least squares prediction equation | |

The linear regression model | |

Measuring linear association - the correlation | |

Inference for the slope and correlation | |

Model assumptions and violations | |

Chapter summary | |

Introduction to multivariate Relationships | |

Association and causality | |

Controlling for other variables | |

Types of multivariate relationships | |

Inferenential issus in statistical control | |

Chapter summary | |

Multiple Regression and Correlation | |

Multiple regression model | |

Example with multiple regression computer output | |

Multiple correlation and R-squared | |

Inference for multiple regression and coefficients | |

Interaction between predictors in their effects | |

Comparing regression models | |

Partial correlation | |

Standardized regression coefficients | |

Chapter summary | |

Comparing groups: Analysis of Variance (ANOVA) methods | |

Comparing several means: One way analysis of variance | |

Multiple comparisons of means | |

Performing ANOVA by regression modeling | |

Two-way analysis | |

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