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Introduction | |
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Statistics and Geography | |
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Statistical Analysis and Geography | |
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Data | |
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Measurement Evaluation | |
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Data and Information | |
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Summary | |
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Descriptive Statistics | |
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Displaying and Interpreting Data | |
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Displaying and Interpretation of the Distributions of Qualitative Variables | |
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Display and Interpretation of the Distributions of Quantitative Variables | |
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Displaying and Interpreting Time-Series Data | |
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Displaying and Interpreting Spatial Data | |
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Summary | |
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Describing Data with Statistics | |
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Measures of Central Tendency | |
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Measures of Dispersion | |
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Higher Order Moments or Other Numerical Measures of the Characteristics of Distributions | |
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Using Descriptive Statistics with Time-Series Data | |
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Descriptive Statistics for Spatial Data | |
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Summary | |
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Review of Sigma Notation | |
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An Iterative Algorithm for Determining the Weighted or Unweighted Euclidean Median | |
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Statistical Relationships | |
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Relationships and Dependence | |
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Looking for Relationships in Graphs and Tables | |
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Introduction to Correlation | |
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Introduction to Regression | |
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Temporal Autocorrelation | |
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Summary | |
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Review of the Elementary Geometry of a Line | |
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Least Squares Solution via Elementary Calculus | |
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Inferential Statistics | |
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Random Variables and Probability Distributions | |
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Elementary Probability Theory | |
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Concept of a Random Variable | |
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Discrete Probability Distribution Models | |
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Continuous Probability Distribution Models | |
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Bivariate Random Variables | |
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Summary | |
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Counting Rules for Computing Probabilities | |
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Expected Value and Variance of a Continuous Random Variable | |
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Sampling | |
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Why Do We Sample? | |
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Steps in the Sampling Process | |
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Types of Samples | |
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Random Sampling and Related Probability Designs | |
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Sampling Distributions | |
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Geographic Sampling | |
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Summary | |
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Point and Interval Estimation | |
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Statistical Estimation Procedures | |
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Point Estimation | |
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Interval Estimation | |
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Sample Size Determination | |
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Summary | |
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One-Sample Hypothesis Testing | |
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Key Steps in Classical Hypothesis Testing | |
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prob-value Method of Hypothesis Testing | |
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Hypothesis Tests Concerning the Population Mean m and p<$$$> | |
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Relationship between Hypothesis Testing and Confidence Interval Estimation | |
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Statistical Significance versus Practical Significance | |
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Summary | |
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Two-Sample Hypothesis Testing | |
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Difference of Means | |
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Difference of Means for Paired Observations | |
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Difference of Proportions | |
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The Equality of Variances | |
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Summary | |
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Nonparametric Methods | |
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Comparison of Parametric and Nonparametric Tests | |
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One- and Two-Sample Tests | |
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Multisample Kruskal-Wallis Test | |
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Goodness-of-Fit Tests | |
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Contingency Tables | |
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Estimating a Probability Distribution: Kernel Estimates | |
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Bootstrapping | |
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Summary | |
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Analysis of Variance | |
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The One-Factor, Completely Randomized Design | |
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The Two-Factor, Completely Randomized Design | |
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Multiple Comparisons Using the Scheffe Contrast | |
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Assumptions of the Analysis of Variance | |
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Summary | |
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Derivation of Equation 11-11 from Equation 11-10 | |
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Inferential Aspects of Linear Regression | |
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Overview of the Steps in a Regression Analysis | |
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Assumptions of the Simple Linear Regression Model | |
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Inferences in Regression Analysis | |
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Graphical Diagnostics for the Linear Regression Model | |
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Summary | |
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Extending Regression Analysis | |
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Multiple Regression Analysis | |
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Variable Transformations and the Shape of the Regression Function | |
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Validating a Regression Model | |
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Summary | |
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Patterns in Space and Time | |
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Spatial Patterns and Relationships | |
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Point Pattern Analysis | |
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Spatial Autocorrelation | |
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Local Indicators of Spatial Association | |
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Regression Models with Spatially Autocorrelated Data | |
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Geographically Weighted Regression | |
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Summary | |
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Time Series Analysis | |
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Time Series Processes | |
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Properties of Stochastic Processes | |
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Types of Stochastic Processes | |
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Removing Trends: Transformations to Stationarity | |
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Model Identification | |
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Model Fitting | |
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Times Series Models, Running Means, and Filters | |
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The Frequency Approach | |
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Filter Design | |
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Summary | |
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Appendix: Statistical Tables | |
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Index | |
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About the Authors | |