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Statistics - Study guide
Descriptive statistics
Data types and levels of measurement
Data collection and sampling methods
Frequency distributions and histograms
Measures of central tendency
Measures of variability
Measures of relative standing
Box plots and outliers
Probability
Basic concepts and rules of probability
Conditional probability and independence
Bayes' theorem and applications
Counting techniques and combinatorics
Random variables and probability distributions
Binomial distribution and Bernoulli trials
Poisson distribution and Poisson process
Normal distribution and standard normal curve
Sampling distribution and central limit theorem
Inferential statistics
Point estimation and interval estimation
Confidence intervals for means and proportions
Hypothesis testing and significance levels
Tests for means and proportions
Type I and type II errors and power of a test
P-values and decision rules
Regression and correlation
Scatter plots and correlation coefficient
Simple linear regression model and equation
Least squares method and line of best fit
Coefficient of determination and goodness of fit
Inference for regression parameters
Residual analysis and assumptions
Analysis of variance (ANOVA)
One-way ANOVA and F-test
ANOVA table and calculations
Multiple comparisons and post-hoc tests
Two-way ANOVA and interaction effects
Categorical data analysis
Contingency tables and marginal distributions
Chi-square test of independence
Chi-square test of homogeneity
Chi-square test of goodness-of-fit
Nonparametric statistics
Advantages and disadvantages of nonparametric methods
Sign test and Wilcoxon signed-rank test
Mann-Whitney U test and Kruskal-Wallis test
Spearman's rank correlation coefficient