Statistical Analysis of Geographical Data : An Introduction.

Intro -- Title Page -- Table of Contents -- Preface -- 1 Dealing with data -- 1.1 The role of statistics in geography -- 1.2 About this book -- 1.3 Data and measurement error -- Exercises -- 2 Collecting and summarizing data -- 2.1 Sampling methods -- 2.2 Graphical summaries -- 2.3 Summarizing data numerically -- Exercises -- 3 Probability and sampling distributions -- 3.1 Probability -- 3.2 Probability and the normal distribution: z‐scores -- 3.3 Sampling distributions and the central limit theorem -- Exercises -- 4 Estimating parameters with confidence intervals -- 4.1 Confidence intervals on the mean of a normal distribution: the basics -- 4.2 Confidence intervals in practice: the t‐distribution -- 4.3 Sample size -- 4.4 Confidence intervals for a proportion -- Exercises -- 5 Comparing datasets -- 5.1 Hypothesis testing with one sample: general principles -- 5.2 Comparing means from small samples: one‐sample t‐test -- 5.3 Comparing proportions for one sample -- 5.4 Comparing two samples -- 5.5 Non‐parametric hypothesis testing -- Exercises -- 6 Comparing distributions -- 6.1 Chi‐squared test with one sample -- 6.2 Chi‐squared test for two samples -- Exercises -- 7 Analysis of variance -- 7.1 One‐way analysis of variance -- 7.2 Assumptions and diagnostics -- 7.3 Multiple comparison tests after analysis of variance -- 7.4 Non‐parametric methods in the analysis of variance -- 7.5 Summary and further applications -- Exercises -- 8 Correlation -- 8.1 Correlation analysis -- 8.2 Pearson's product‐moment correlation coefficient -- 8.3 Significance tests of correlation coefficient -- 8.4 Spearman's rank correlation coefficient -- 8.5 Correlation and causality -- Exercises -- 9 Linear regression -- 9.1 Least‐squares linear regression -- 9.2 Scatter plots -- 9.3 Choosing the line of best fit: the 'least‐squares' procedure -- 9.4 Analysis of residuals.

9.5 Assumptions and caveats with regression -- 9.6 Is the regression significant? -- 9.7 Coefficient of determination -- 9.8 Confidence intervals and hypothesis tests concerning regression parameters -- 9.9 Reduced major axis regression -- 9.10 Summary -- Exercises -- 10 Spatial Statistics -- 10.1 Spatial Data -- 10.2 Summarizing Spatial Data -- 10.3 Identifying Clusters -- 10.4 Interpolation and Plotting Contour Maps -- 10.5 Spatial Relationships -- Exercises -- 11 Time series analysis -- 11.1 Time series in geographical research -- 11.2 Analysing time series -- 11.3 Summary -- Exercises -- Appendix A: Introduction to the R package -- A.1 Obtaining R -- A.2 Simple calculations -- A.3 Vectors -- A.4 Basic statistics -- A.5 Plotting data -- A.6 Multiple figures -- A.7 Reading and writing data -- A.8 Summary -- Appendix B: Statistical tables -- References -- Index -- End User License Agreement.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.