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Acknowledgments | |
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Design of the Book | |
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Fundamentals of Quantitative Analysis | |
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What We Accomplish in Quantitative Analysis | |
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How to Describe an Observation | |
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Frequency Distributions: A Fundamental Building Block of Quantitative Analysis | |
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Types of Distributions | |
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Is Normal Data, Well, Normal? | |
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Measures of Central Tendency | |
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Measures of Dispersion | |
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Standard Deviation of the Normal Distribution | |
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Exercises | |
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Patterns and Tests | |
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Sampling | |
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Data | |
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Hypothesis Testing | |
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The Central Limit Theorem | |
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Score Keeping | |
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H0: A? = 100 | |
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Type I and Type II Error | |
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Correlation | |
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Covariance and Correlation | |
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The Regression Line | |
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Amount of Variance Accounted For | |
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Exercises | |
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Phonetics | |
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Comparing Mean Values | |
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Cherokee Voice Onset Time: A?1971=A? 2001 | |
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Samples Have Equal Variance | |
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If the Samples Do Not Have Equal Variance | |
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Paired t Test: Are Men Different from Women? | |
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The Sign Test | |
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Predicting the Back of the Tongue from the Front: Multiple Regression | |
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The Covariance Matrix | |
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More than One slope: The bi | |
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Selecting a Model | |
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Tongue Shape Factors: Principal Components Analysis | |
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Exercises | |
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Psycholinguistics | |
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Analysis of Variance: One Factor, More than Two Levels | |
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Two Factors: Interaction | |
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Repeated Measures | |
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An Example of Repeated Measures ANOVA | |
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Repeated Measures ANOVA with a Between-Subjects Factor | |
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The "Language as Fixed Effect" Fallacy | |
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Exercises | |
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Sociolinguistics | |
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When the Data are Counts - Contingency Tables | |
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Frequency in a Contingency Table | |
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Working with Probabilities: The Binomial Distribution | |
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Bush or Kerry? | |
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An Aside about Maximum Likelihood Estimation | |
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Logistic Regression | |
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An Example from the [a<$$$>]treets of Columbus | |
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On the Relationship between x2 and G2 | |
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More than One Predictor | |
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Logistic Regression as Regression: An Ordinal Effect - Age | |
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Varbrul/R Comparison | |
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Exercises | |
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Historical Linguistics | |
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Cladistics: Where Linguistics and Evolutionary Biology Meet | |
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Clustering on the Basis of Shared Vocabulary | |
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Cladistic Analysis: Combining Character-Based Subtrees | |
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Clustering on the Basis of Spelling Similarity | |
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Multidimensional Scaling: A Language Similarity Space | |
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Exercises | |
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Syntax | |
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Measuring Sentence Acceptability | |
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A Psychogrammatical Law? | |
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Linear Mixed Effects in the Syntactic Expression of Agents in English | |
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Linear Regression: Overall, and Separately by Verbs | |
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Fitting a Linear Mixed-Effects Model: Fixed and Random Effects | |
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Fitting Five More Mixed-Effects Models: Finding the Best Model | |
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Predicting the Dative Alternation: Logistic Modeling of Syntactic Corpora Data | |
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Logistic Model of Dative Alternation | |
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Evaluating the Fit of the Model | |
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Adding a Random Factor: Mixed Effects Logistic Regression | |
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Exercises | |
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Appendix 7A | |
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References | |
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Index | |