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Preface to the Second Edition | |
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Preface to the First Edition | |
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Acronyms | |
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The Basics | |
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Four Basic Questions | |
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Observation is Selection | |
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Replicate to Characterize Variability | |
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Variability Occurs at Multiple Levels | |
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Invalid Selection is the Primary Threat to Valid Inference | |
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There is Variation in Strength of Inference | |
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Distinguish Randomized and Observational Studies | |
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Beware of Linear Models | |
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Keep Models As Simple As Possible, But Not More Simple | |
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Understand Omnibus Quantities | |
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Do Not Multiply Probabilities More Than Necessary | |
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Use Two-sided p-Values | |
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p-Values for Sample Size, Confidence Intervals for Results | |
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At Least Twelve Observations for a Confidence Interval | |
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Estimate [plus or minus] Two Standard Errors is Remarkably Robust | |
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Know the Unit of the Variable | |
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Be Flexible About Scale of Measurement Determining Analysis | |
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Be Eclectic and Ecumenical in Inference | |
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Sample Size | |
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Begin with a Basic Formula for Sample Size-Lehr's Equation | |
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Calculating Sample Size Using the Coefficient of Variation | |
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No Finite Population Correction for Survey Sample Size | |
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Standard Deviation and Sample Range | |
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Do Not Formulate a Study Solely in Terms of Effect Size | |
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Overlapping Confidence Intervals Do Not Imply Nonsignificance | |
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Sample Size Calculation for the Poisson Distribution | |
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Sample Size for Poisson With Background Rate | |
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Sample Size Calculation for the Binomial Distribution | |
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When Unequal Sample Sizes Matter; When They Don't | |
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Sample Size With Different Costs for the Two Samples | |
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The Rule of Threes for 95% Upper Bounds When There Are No Events | |
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Sample Size Calculations Are Determined by the Analysis | |
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Observational Studies | |
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The Model for an Observational Study is the Sample Survey | |
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Large Sample Size Does Not Guarantee Validity | |
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Good Observational Studies Are Designed | |
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To Establish Cause Effect Requires Longitudinal Data | |
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Make Theories Elaborate to Establish Cause and Effect | |
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The Hill Guidelines Are a Useful Guide to Show Cause Effect | |
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Sensitivity Analyses Assess Model Uncertainty and Missing Data | |
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Covariation | |
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Assessing and Describing Covariation | |
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Don't Summarize Regression Sampling Schemes with Correlation | |
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Do Not Correlate Rates or Ratios Indiscriminately | |
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Determining Sample Size to Estimate a Correlation | |
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Pairing Data is not Always Good | |
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Go Beyond Correlation in Drawing Conclusions | |
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Agreement As Accuracy, Scale Differential, and Precision | |
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Assess Test Reliability by Means of Agreement | |
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Range of the Predictor Variable and Regression | |
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Measuring Change: Width More Important than Numbers | |
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Environmental Studies | |
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Begin with the Lognormal Distribution in Environmental Studies | |
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Differences Are More Symmetrical | |
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Know the Sample Space for Statements of Risk | |
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Beware of Pseudoreplication | |
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Think Beyond Simple Random Sampling | |
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The Size of the Population and Small Effects | |
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Models of Small Effects Are Sensitive to Assumptions | |
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Distinguish Between Variability and Uncertainty | |
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Description of the Database is As Important as Its Data | |
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Always Assess the Statistical Basis for an Environmental Standard | |
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Measurement of a Standard and Policy | |
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Parametric Analyses Make Maximum Use of the Data | |
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Confidence, Prediction, and Tolerance Intervals | |
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Statistics and Risk Assessment | |
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Exposure Assessment is the Weak Link in Assessing Health Effects of Pollutants | |
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Assess the Errors in Calibration Due to Inverse Regression | |
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Epidemiology | |
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Start with the Poisson to Model Incidence or Prevalence | |
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The Odds Ratio Approximates the Relative Risk Assuming the Disease is Rare | |
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The Number of Events is Crucial in Estimating Sample Sizes | |
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Use a Logarithmic Formulation to Calculate Sample Size | |
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Take No More than Four or Five Controls per Case | |
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Obtain at Least Ten Subjects for Every Variable Investigated | |
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Begin with the Exponential Distribution to Model Time to Event | |
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Begin with Two Exponentials for Comparing Survival Times | |
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Be Wary of Surrogates | |
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Prevalence Dominates in Screening Rare Diseases | |
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Do Not Dichotomize Unless Absolutely Necessary | |
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Additive and Multiplicative Models | |
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Evidence-Based Medicine | |
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Strength of Evidence | |
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Relevance of Information: POEM vs. DOE | |
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Begin with Absolute Risk Reduction, then Follow with Relative Risk | |
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The Number Needed to Treat (NNT) is Clinically Useful | |
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Variability in Response to Treatment Needs to be Considered | |
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Safety is the Weak Component of EBM | |
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Intent to Treat is the Default Analysis | |
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Use Prior Information but not Priors | |
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The Four Key Questions for Meta-analysts | |
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Design, Conduct, and Analysis | |
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Randomization Puts Systematic Effects into the Error Term | |
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Blocking is the Key to Reducing Variability | |
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Factorial Designs and Joint Effects | |
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High-Order Interactions Occur Rarely | |
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Balanced Designs Allow Easy Assessment of Joint Effects | |
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Analysis Follows Design | |
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Independence, Equal Variance, and Normality | |
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Plan to Graph the Results of an Analysis | |
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Distinguish Between Design Structure and Treatment Structure | |
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Make Hierarchical Analyses the Default Analysis | |
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Distinguish Between Nested and Crossed Designs-Not Always Easy | |
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Plan for Missing Data | |
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Address Multiple Comparisons Before Starting the Study | |
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Know Properties Preserved When Transforming Units | |
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Consider Bootstrapping for Complex Relationships | |
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Words, Tables, and Graphs | |
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Use Text for a Few Numbers, Tables for Many Numbers, Graphs for Complex Relationships | |
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Arrange Information in a Table to Drive Home the Message | |
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Always Graph the Data | |
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Always Graph Results of an Analysis of Variance | |
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Never Use a Pie Chart | |
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Bar Graphs Waste Ink; They Don't Illuminate Complex Relationships | |
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Stacked Bar Graphs Are Worse Than Bar Graphs | |
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Three-Dimensional Bar Graphs Constitute Misdirected Artistry | |
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Identify Cross-sectional and Longitudinal Patterns in Longitudinal Data | |
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Use Rendering, Manipulation, and Linking in High-Dimensional Data | |
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Consulting | |
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Session Has Beginning, Middle, and End | |
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Ask Questions | |
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Make Distinctions | |
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Know Yourself, Know the Investigator | |
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Tailor Advice to the Level of the Investigator | |
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Use Units the Investigator is Comfortable With | |
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Agree on Assignment of Responsibilities | |
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Any Basic Statistical Computing Package Will Do | |
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Ethics Precedes, Guides, and Follows Consultation | |
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Be Proactive in Statistical Consulting | |
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Use the Web for Reference, Resource, and Education | |
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Listen to, and Heed the Advice of Experts in the Field | |
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Epilogue | |
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References | |
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Author Index | |
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Topic Index | |