Chapter 1: Descriptive Statistics

- Types of data and measurement
- - Quantitative and qualitative data
- - The hierarchy of measurement scales
- - Nominal scale
- - Ordinal scale
- - Interval scale
- - Ratio scale
- Frequency distributions
- - Frequency distributions
- - Frequency distribution tables
- - Frequency distribution graphs
- - Shape of a distribution
- - Measures of location I: percentiles, quantiles, and quartiles
- Measures of central tendency
- - Mode
- - Median
- - Mean
- - Sensitivity to outliers
- - Central tendency and the shape of the distribution
- Measures of variability
- - Range, interquartile range, and the five-number summary
- - Interquartile range rule for identifying outliers
- - Deviation from the mean and the sum of squares
- - Variance and standard deviation
- The Normal Distribution
- - Normal distribution
- Measures of location II: Z-Scores
- - Z-Scores

Chapter 2: Probability

- Randomness
- - Sets, subsets, and elements
- - Random experiments
- - Sample space
- - Events
- - Complement of an event
- Relationship between events
- - Mutual exclusivity
- - Difference
- - Intersection
- - Union
- Probability
- - Definition of probability
- - Probability of the complement
- - Conditional probability
- - Independence
- - Probability of the intersection
- - Probability of the union
- - Probability of the difference
- - Law of total probability
- - Bayes' theorem

Chapter 3: Probability Distributions

- Probability models
- - Discrete probability models
- - Continuous probability models
- Random variables
- - Random variables
- - Probability distributions
- - Expected value of a random variables
- - Variance of a random variable
- - Sum of random variables
- Common distributions
- - The Binomial distribution
- - Expected value and variance of a binomial random variable
- - The Normal distribution
- - The Normal probability distribution

Chapter 4: Sampling

- Sampling and sampling methods
- - Sampling and unbiased sampling methods
- - Biased sampling methods
- Sampling distributions
- - Sampling distributions
- - Sampling distributions of the sample mean
- - Sampling distributions of the sample proportion

Chapter 5: Inferential statistics

- Estimation
- - Parameter estimation
- - Constructing of a 95% confidence interval for the population mean
- - Confidence interval for the population mean
- - Confidence interval for the population proportion
- Introduction to hypothesis testing (p-value approach)
- - Hypothesis testing procedure
- - Formulating the research hypotheses
- - Two-tailed vs. one-tailed testing
- - Setting the criteria for a decision
- - Computing the test statistic
- - Computing the p-value and making a decision
- - Assumptions of the z-test
- - Connection between hypothesis testing and confidence intervals
- - Errors in decision making
- - Statistical power
- Hypothesis test for a population proportion
- - Hypotheses of a population proportion test
- - Large-sample proportion test: test statistic and p-value
- - Small-sample proportion test: test statistic and p-value
- - Hypothesis test for a proportion and confidence intervals
- One-sample t-test
- - One-sample t-test: purpose, hypotheses, and assumptions
- - One-sample t-test: test statistic and p-value
- - Confidence interval for μ when σ is unknown

Chapter 6: Bivariate analysis

- Paired samples t-test
- - Paired samples t-test: purpose, hypotheses, and assumptions
- - Paired samples t-test: test statistic and p-value
- - Confidence interval for a mean difference
- Independent samples t-test
- - Independent samples t-test: purpose, hypotheses, and assumptions
- - Independent samples t-test: test statistic and p-value
- - Confidence interval for the difference between two independent means
- Two-proportion z-test
- - Two-proportion z-test: purpose, hypotheses, and assumptions
- - Two-proportion z-test: test statistic and p-value
- - Confidence interval for the difference between two independent proportions
- Chi-square goodness of fit
- - Chi-square goodness of fit test: purpose, hypotheses, and assumptions
- - Chi-square goodness of fit test: test statistic and p-value
- Chi-square test for independence
- - Chi-square test for independence: purpose, hypotheses, and assumptions
- - Chi-square test for independence: test statistic and p-value
- Associative statistics: correlation
- - Introduction to correlation
- - Linear relationship: covariance
- - Linear relationship: pearson correlation coefficient
- Simple linear regression
- - Introduction to regression analysis
- - Residuals and total squared error
- - Finding the regression equation
- - The coefficient of determination
- - Regression analysis and causality
- Multiple linear regression
- - Multiple linear regression
- - Overfitting and multicollinearity
- - Dummy variables