Description
Book SynopsisMark Triola, MD, FACP is the Associate Dean for Educational Informatics at NYU School of Medicine, the founding director of the NYU Langone Medical Center Institute for Innovations in Medical Education (IIME), and an Associate Professor of Medicine. Dr. Triola's research focuses on precision education and the use of AI tools to efficiently personalize medical education for individual learners and give new insights to their programs and coaches. His lab develops new learning technologies and AI-driven educational interventions and also works to define educationally sensitive patient and system outcomes that can be used to assess the impact of training. Dr. Triola and IIME have been funded by the National Institutes of Health, the Josiah Macy Jr. Foundation, the Department of Education, the Department of Defense, and the American Medical Association's Accelerating Change in Medical Education program.
Mario F. Triola is a Profe
Table of Contents
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INTRODUCTION TO STATISTICS
- 1-1 Statistical and Critical Thinking
- 1-2 Types of Data
- 1-3 Collecting Sample Data
- 1-4 Ethics in Statistics (download only)
- EXPLORING DATA WITH TABLES AND GRAPHS
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- 2-1 Frequency Distributions for Organizing and Summarizing Data
- 2-2 Histograms
- 2-3 Graphs That Enlighten and Graphs That Deceive
- 2-4 Scatterplots, Correlation, and Regression
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DESCRIBING, EXPLORING, AND COMPARING DATA
- 3-1 Measures of Center
- 3-2 Measures of Variation
- 3-3 Measures of Relative Standing and Boxplots
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PROBABILITY
- 4-1 Basic Concepts of Probability
- 4-2 Addition Rule and Multiplication Rule
- 4-3 Complements, Conditional Probability, and Bayes' Theorem
- 4-4 Risks and Odds
- 4-5 Rates of Mortality, Fertility, and Morbidity
- 4-6 Counting
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DISCRETE PROBABILITY DISTRIBUTIONS
- 5-1 Probability Distributions
- 5-2 Binomial Probability Distributions
- 5-3 Poisson Probability Distributions
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NORMAL PROBABILITY DISTRIBUTIONS
- 6-1 The Standard Normal Distribution
- 6-2 Real Applications of Normal Distributions
- 6-3 Sampling Distributions and Estimators
- 6-4 The Central Limit Theorem
- 6-5 Assessing Normality
- 6-6 Normal as Approximation to Binomial (download only)
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ESTIMATING PARAMETERS AND DETERMINING SAMPLE SIZES
- 7-1 Estimating a Population Proportion
- 7-2 Estimating a Population Mean
- 7-3 Estimating a Population Standard Deviation or Variance
- 7-4 Bootstrapping: Using Technology for Estimates
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HYPOTHESIS TESTING
- 8-1 Basics of Hypothesis Testing
- 8-2 Testing a Claim About a Proportion
- 8-3 Testing a Claim About a Mean
- 8-4 Testing a Claim About a Standard Deviation or Variance
- 8-5 Resampling: Using Technology for Hypothesis Testing
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INFERENCES FROM TWO SAMPLES
- 9-1 Two Proportions
- 9-2 Two Means: Independent Samples
- 9-3 Matched Pairs
- 9-4 Two Variances or Standard Deviations
- 9-5 Resampling: Using Technology for Inferences
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CORRELATION AND REGRESSION
- 10-1 Correlation
- 10-2 Regression
- 10-3 Prediction Intervals and Variation
- 10-4 Multiple Regression
- 10-5 Dummy Variables and Logistic Regression
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GOODNESS-OF-FIT AND CONTINGENCY TABLES
- 11-1 Goodness-of-Fit
- 11-2 Contingency Tables
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ANALYSIS OF VARIANCE
- 12-1 One-Way ANOVA
- 12-2 Two-Way ANOVA
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NONPARAMETRIC TESTS
- 13-1 Basics of Nonparametric Tests
- 13-2 Sign Test
- 13-3 Wilcoxon Signed-Ranks Test for Matched Pairs
- 13-4 Wilcoxon Rank-Sum Test for Two Independent Samples
- 13-5 Kruskal-Wallis Test for Three or More Samples
- 13-6 Rank Correlation
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SURVIVAL ANALYSIS
- 14-1 Life Tables
- 14-2 Kaplan-Meier Survival Analysis
APPENDICES A: Tables and Formulas B: Data Sets C: Websites and Bibliography of Books D: Answers to Odd-Numbered Section Exercises (and all Quick Quizzes, all Review Exercises, and all Cumulative Review Exercises) Subject Index
