800 essential formulas and equations for studying behavior, analyzing data, and understanding quantitative models.
From probability and statistical inference to psychological measurement and decision-making, behavioral research draws on a wide range of mathematical relationships. Math Formulas and Equations for Behavioral Sciences by Peter I. Kattan brings these tools together in one organized reference for students, beginners, educators, and experienced researchers.
Across nine chapters, the book covers:
• Essential mathematical tools: algebra, functions, summation, vectors, matrices, derivatives, and integrals.
• Probability and statistics: distributions, descriptive measures, confidence intervals, hypothesis tests, analysis of variance, effect sizes, and statistical power.
• Regression and prediction: correlation, linear and logistic regression, mediation, moderation, and multilevel models.
• Psychological measurement: reliability, validity coefficients, factor models, item response theory, and measurement precision.
• Learning and decision-making: memory retention, reinforcement learning, perception, signal detection, expected utility, and temporal discounting.
• Social behavior and change: social influence, game theory, networks, time series, Markov chains, survival analysis, and Bayesian models.
Formulas are arranged by topic, with brief symbol definitions and conditions of use where needed. A symbols guide and subject index support quick consultation.
Designed for reference rather than step-by-step instruction, the book deliberately omits worked examples and derivations. It complements textbooks, coursework, and research literature by helping readers locate mathematical relationships and check their assumptions.
A practical companion for keeping the quantitative tools of behavioral science within reach.