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Preface | |
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Introduction | |
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Statistics and the Life Sciences | |
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Examples and Overview | |
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Description of Populations and Samples | |
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Introduction | |
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Frequency Distributions: Techniques for Data | |
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Frequency Distributions: Shapes and Examples | |
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Descriptive Statistics: Measures of Center | |
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Boxplots | |
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Measures of Dispersion | |
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Effect of Transformation of Variables (Optional) | |
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Samples and Populations: Statistical Inference | |
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Perspective | |
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Random Sampling, Probability, and the Binomial Distribution | |
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Probability and the Life Sciences | |
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Random Sampling | |
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Introduction to Probability | |
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Probability Trees | |
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Probability Rules (Optional) | |
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Density Curves | |
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Random Variables | |
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The Binomial Distribution | |
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Fitting a Binomial Distribution to Data (Optional) | |
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The Normal Distribution | |
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Introduction | |
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The Normal Curves | |
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Areas Under a Normal Curve | |
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Assessing Normality | |
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The Continuity Correction (Optional) | |
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Perspective | |
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Sampling Distributions | |
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Basic Ideas | |
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Dichotomous Observations | |
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Quantitative Observations | |
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Illustration of the Central Limit Theorem (Optional) | |
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The Normal Approximation to the Binomial Distribution (Optional) | |
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Perspective | |
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Confidence Intervals | |
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Statistical Estimation | |
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Standard Error of the Mean | |
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Confidence Interval for [mu] | |
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Planning a Study to Estimate [mu] | |
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Conditions for Validity of Estimation Methods | |
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Confidence Interval for a Population Proportion | |
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Perspective and Summary | |
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Comparison of Two Independent Samples | |
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Introduction | |
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Standard Error of (y[subscript 1] - y[subscript 2]) | |
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Confidence Interval for ([mu subscript 1] - [mu subscript 2]) | |
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Hypothesis Testing: The t test | |
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Further Discussion of the t test | |
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One-Tailed t Tests | |
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More on Interpretation of Statistical Significance | |
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Planning for Adequate Power (Optional) | |
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Student's t: Conditions and Summary | |
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More on Principles of Testing Hypotheses | |
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The Wilcoxon-Mann-Whitney Test | |
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Perspective | |
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Statistical Principles of Design | |
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Introduction | |
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Observational Studies | |
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Experiments | |
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Restricted Randomization: Blocking and Stratification | |
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Levels of Replication | |
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Sampling Concerns (Optional) | |
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Perspective | |
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Comparison of Paired Samples | |
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Introduction | |
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The Paired-Sample t test and Confidence Interval | |
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The Paired Design | |
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The Sign Test | |
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The Wilcoxon Signed-Rank Test | |
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Further Considerations in Paired Experiments | |
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Perspective | |
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Analysis of Categorical Data | |
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Inference for Proportions: The Chi-Square Goodness-of-Fit Test | |
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The Chi-Square Test for the 2 X 2 Contingency Table | |
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Indepence and Association in the 2 X 2 Contingency Table | |
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Fisher's Exact Test (Optional) | |
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The r X k Contingency Table | |
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Applicability of Methods | |
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Confidence Interval for Difference Between Probabilities | |
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Paired Data and 2 X 2 Tables (Optional) | |
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Relative Risk and the Odds Ratio (Optional) | |
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Summary of Chi-Square Tests | |
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Comparing the Means of Many Independent Samples | |
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Introduction | |
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The Basic Analysis of Variance | |
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The Analysis of Variance Model (Optional) | |
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The Global F Test | |
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Applicability of Methods | |
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Two-Way ANOVA (Optional) | |
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Linear Combinations of Means (Optional) | |
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Multiple Comparisons (Optional) | |
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Perspective | |
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Linear Regression and Correlation | |
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Introduction | |
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The Fitted Regression Line | |
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Parametric Interpretation of Regression: The Linear Model | |
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Statistical Inference Concerning [beta subscript 1] | |
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The Correlation Coefficient | |
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Guidelines for Interpreting Regression and Correlation | |
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Perspective | |
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Summary of Formulas | |
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A Summary of Inference Methods | |
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Introduction | |
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Data Analysis Examples | |
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Chapter Appendices | |
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Chapter Notes | |
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Statistical Tables | |
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Random Digits | |
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Binomial Coefficients [subscript n]C[subscript j] | |
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Areas Under the Normal Curve | |
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Critical Values of Student's t Distribution | |
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Number of Observations for Independent-Samples t Test | |
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Critical Values of U, the Wilcoxon-Mann-Whitney Statistic | |
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Critical Values of B for the Sign Test | |
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Critical Values of W for the Wilcoxon Signed-rank Test | |
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Critical Values of the Chi-Square Distribution | |
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Critical Values of the F Distribution | |
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Critical Constants for the Newman-Keuls Procedure | |
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Bonferroni Multipliers for 95% Confidence Intervals | |
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Answers to Selected Exercises | |
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Index | |
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Index of Examples | |