 | Descriptive
Statistics
Measures of Location: Mean, Median, Mode, Quartiles, and
Percentiles
Measures of Dispersion: Variance and Standard Deviation
Standard Scores and the Empirical Rule |
| Graphing
Histograms
Box Plots
Scatterplots
Bar Graphs
Pie Charts
Line Graphs
Frequency Distributions |
| Probability
Experiments, Outcomes, Events, and Sample Spaces
Probability Rules
Mutually Exclusive and Independent Events
Conditional Probability |
| Probability
Distributions
Cumulative Distribution Functions
Expected Value and Variance of a Discrete Random Variable
Discrete Probability Distributions
Binomial Distributions
Poisson Distributions
Continuous Probability Distributions
Continuous Probability Distributions
Uniform Distributions
Normal Distributions
Standard Scores and Areas Under Any
Normal Curve
Normal Distributions as Approximations to the Binomial
Distribution |
| Sampling
Distributions
Sampling Distribution of the Sample Mean
Central Limit Theorem
Sampling Distribution of the Sample Proportion
Sampling Distribution of the Difference Between Two Sample Means
Sampling Distribution of the Difference Between Two Sample Proportions |
| Confidence Intervals
Confidence Interval for the Mean with Known Population Variance
Confidence Interval for the Mean with Unknown Population Variance (Large
Sample Size)
Confidence Interval for the Mean with Unknown Population Variance (Small
Sample Size)
Confidence Interval for the Proportion (Large Sample Size)
Confidence Interval for the Difference of Two Means
Confidence Interval for the Difference of Two Proportions
Determining Sample Size |
| Hypothesis Testing
Testing Hypotheses about a Mean with Known Population Variance
Testing Hypotheses about a Mean with Unknown Population Variance (Large
Sample Size)
Testing Hypotheses about a Mean with Unknown Population Variance (Small
Sample Size)
Testing Hypotheses about a Proportion (Large Sample Size)
Testing Hypotheses for the Difference of Two Means
Testing Hypotheses for the Difference of Two Proportions
Testing Hypotheses for a Mean of Paired Samples |
| Chi-Square
Goodness-of-Fit Testing |
| ANOVA |
| Regression
Simple Linear Regression
Correlation Coefficients
Least Squares Regression Equation (Slope and Y-Intercept Calculations)
Making Predictions
Multiple Regression
Nonlinear Regression
Exponential Trend Models
Polynomial Trend Models |
| Nonparametric Tests
Sign Test
Mann-Whitney Test
Wilcoxon Signed-Rank Test
Kruskal-Wallis Test
Runs Test |
