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Preface | |
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Introduction | |
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Logic in determining the presence or absence of a species | |
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Estimation of a mean | |
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Concluding remarks | |
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Critiques of statistical methods | |
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Introduction | |
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Sex ratio of koalas | |
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Null hypothesis significance testing | |
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Information-theoretic methods | |
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Bayesian methods | |
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Estimating effect sizes | |
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Concluding remarks | |
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Analysing averages and frequencies | |
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The average | |
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The Poisson distribution with extra variation | |
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Estimating differences | |
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Required sample sizes when estimating means | |
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Estimating proportions | |
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Multinomial models | |
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Concluding remarks | |
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How good are the models? | |
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How good is the fit? | |
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How complex is the model? | |
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Combining measures of fit and simplicity | |
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The Bayes factor and model probabilities | |
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Evaluating the shape of distributions | |
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Concluding remarks | |
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Regression and correlation | |
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Regression | |
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Correlation | |
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Concluding remarks | |
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Analysis of variance | |
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One-way ANOVA | |
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Coding of variables | |
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Fixed and random factors | |
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Two-way ANOVA | |
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Interaction terms in ANOVA | |
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Variance partitioning | |
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An example of ANOVA: effects of vegetation removal on a marsupial | |
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Analysis of covariance | |
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ANCOVA: a case study | |
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Log-linear models for contingency tables | |
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Concluding remarks | |
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Case Studies | |
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Mark-recapture analysis | |
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Methods | |
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Effects of marking frogs | |
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Logistic regression | |
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Model A | |
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Models B and C | |
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Population dynamics | |
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Mountain pygmy possums | |
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Subjective priors | |
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Eliciting probabilities | |
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Handling differences of opinion | |
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Using subjective judgements | |
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Using the consensus of experts | |
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Representing differences of opinion with subjective priors | |
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Using Bayesian networks to represent expert opinion | |
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Concluding remarks | |
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Conclusion | |
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Prior information | |
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Flexible statistical models | |
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Intuitive results | |
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Bayesian methods make us think | |
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A Bayesian future for ecology | |
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Appendices | |
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A tutorial for running WinBUGS | |
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A summary of steps for running WinBUGS | |
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The steps in more detail | |
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How to write WinBUGS code | |
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Probability distributions | |
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Discrete random variables | |
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Continuous random variables | |
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Univariate discrete distributions | |
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Univariate continuous distributions | |
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Multivariate discrete distributions | |
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Multivariate continuous distributions | |
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Conjugacy | |
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MCMC algorithms | |
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Why does it work? | |
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References | |
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Index | |