KNOWLEDGE OF DESCRIPTIVE AND SPATIAL STATISTICS
Knowledge of Descriptive and Spatial Statistics assesses a GIS practitioner’s ability to summarize, interpret, and analyze spatial data using statistical techniques. This includes understanding descriptive statistics (mean, median, mode, standard deviation) to summarize attribute data, as well as, spatial statistics to identify spatial patterns and relationships. Key concepts include spatial autocorrelation (e.g., Moran’s I), hot spot and cold spot analysis, spatial clustering (e.g., Getis-Ord Gi*), and regression modeling for spatial prediction. Practitioners must also grasp the implications of statistical assumptions, sample size, and data distribution. For the GISP Exam, candidates should be able to demonstrate both technical proficiency and conceptual clarity in using statistical tools to support spatial decision-making and to uncover trends, anomalies, and patterns in geographic datasets.
KEY CONCEPTS AND TERMINOLOGY
A. Measures of Central Tendency:
These statistics describe the central value around which data points tend to cluster. Common measures include:
- Mean (Average): Sum of all values divided by the number of values.
- Median: Middle value when data is sorted in ascending order.
- Mode: Most frequently occurring value.
B. Measures of Dispersion (Variability):
These statistics quantify how spread out or dispersed the data points are. Common measures include:
- Range: Difference between the maximum and minimum values.
- Variance: Average of squared differences from the mean.
- Standard Deviation: Square root of the variance.
C. Frequency Distribution:
A table or graph showing how often each value occurs in a dataset. Useful for understanding the distribution of data.
D. Percentiles and Quartiles:
Percentiles divide data into equal parts. Quartiles split data into four equal parts (Q1, Q2, Q3).
E. Skewness and Kurtosis:
Skewness measures the asymmetry of the data distribution. Kurtosis describes the shape of the distribution (peakedness or flatness).
F. Graphical Descriptions:
Histograms, box plots, and scatter plots visually represent data distributions.
G. Spatial Relationships and Patterns:
Spatial statistics explore relationships between data points based on their spatial proximity. Techniques help identify patterns, clusters, and trends in spatial data.
H. Applications of Spatial Statistics:
- Geostatistics: Analyzing spatial variability and interpolation (e.g., kriging).
- Point Pattern Analysis: Studying the distribution of point features (e.g., crime incidents, tree locations).
- Spatial Autocorrelation: Detecting spatial patterns (positive or negative spatial dependence).
- Spatial Regression: Modeling relationships between spatial variables.
- Hot Spot Analysis: Identifying statistically significant clusters (hot spots or cold spots).