This is a statistics textbook that all students can work through, regardless of their geography or earth science stream degree pathway and their existing mathematical knowledge. The main rationale for the book is to demystify the mathematical component of statistics and to present these techniques in a digestible fashion. This will be achieved through case studies that illustrate the workings of each technique, through photographs and diagrams that help students visualise some of the processes involved and through a clear explanation of how statistical software packages work.
Section 1 First principles.
1 What's in a number?
1.1 Introduction to quantitative analysis.
1.2 Nature of numerical data.
1.3 Simplifying mathematical notation.
1.4 Introduction to case studies and structure of the book.
2 Geographical data: quantity and content.
2.1 Geographical data.
2.2 Populations and samples.
2.3 Specifying attributes and variables.
3 Geographical data: collection and acquisition.
3.1 Originating data.
3.2 Collection methods.
3.3 Locating phenomena in geographical space.
4 Statistical measures (or quantities).
4.1 Descriptive statistics.
4.2 Spatial descriptive statistics.
4.3 Central tendency.
4.5 Measures of skewness and kurtosis for nonspatial data.
4.6 Closing comments.
5 Frequency distributions, probability and hypotheses.
5.1 Frequency distributions.
5.2 Bivariate and multivariate frequency distributions.
5.3 Estimation of statistics from frequency distributions.
5.5 Inference and hypotheses.
5.6 Connecting summary measures, frequency distributions and probability.
Section 2 Testing times.
6 Parametric tests.
6.1 Introduction to parametric tests.
6.2 One variable and one sample.
6.3 Two samples and one variable.
6.4 Three or more samples and one variable.
6.5 Con3 dence intervals.
6.6 Closing comments.
7 Nonparametric tests.
7.1 Introduction to nonparametric tests.
7.2 One variable and one sample.
7.3 Two samples and one (or more) variable(s).
7.4 Multiple samples and/or multiple variables.
7.5 Closing comments.
Section 3 Forming relationships.
8.1 Nature of relationships between variables.
8.2 Correlation techniques.
8.3 Concluding remarks.
9.1 Specifcation of linear relationships.
9.2 Bivariate regression.
9.3 Concluding remarks.
10 Correlation and regression of spatial data.
10.1 Issues with correlation and regression of spatial data.
10.2 Spatial and temporal autocorrelation.
10.3 Trend surface analysis.
10.4 Concluding remarks.
Designed for students with all levels of math background, this book helps take the angst out of the mathematical part of statistics, and encourages students to gain the competence in statistical procedures needed for independent investigations, fieldwork, and other projects. (Booknews, 1 June 2011)