Spatial Statistics and Hypothesis Testing

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What is likely to occur when measuring something about the same object over time?

Two observations close to each other in time are similar in measurement

What is an example of exogenous spatial autocorrelation?

Rainfall

What is a consequence of spatial autocorrelation in both variables under investigation?

Reduced number of degrees of freedom

What is the result of positive spatial autocorrelation on standard inferential tests?

They underestimate the sampling variance

What is the name of the ArcGIS tool that measures spatial autocorrelation?

Spatial Autocorrelation (Global Moran’s I)

What is returned by the Spatial Autocorrelation (Global Moran’s I) tool?

Five values: Moran’s I Index, Expected Index, Variance, z-score, and p-value

What is the primary purpose of assigning spatial weights to locations?

To determine the spatial autocorrelation statistics

What type of spatial weight is used when wij = 1 for neighboring locations i and j?

Binary weight

What determines the changing rate of weights over distance dij in the distance inverse weight?

Parameter α

What is the main advantage of using spatial weights matrices?

They express our knowledge about spatial relationships and embed all observations in space together

What is a common spatial question that spatial weights can help answer?

How many gas stations are within 5 miles of my stalled car?

What is the purpose of defining the spatial relations among locations?

To calculate the spatial autocorrelation statistics

What is the primary purpose of the Incremental Spatial Autocorrelation tool?

To evaluate the spatial pattern of a set of features

What is the null hypothesis in the context of Moran's Index?

The spatial distribution of feature values is random

What does a p-value indicate in the context of Moran's Index?

The statistical significance of the spatial pattern

What does a positive z-score indicate in the context of Moran's Index?

The spatial distribution of feature values is clustered

How can you access the Global Moran's I values in the Results window?

By right-clicking on the Messages entry and selecting View Global Moran's I

What is the purpose of the derived output values generated by the Geoprocessing tool?

To provide input for models or scripts

What is the formula for calculating the confidence interval in the context of Moran's I?

CI = Moran's I +/- z * sd

What is the key concept of Complete Spatial Randomness (CSR) in spatial statistics?

Events are independent of each other and have an equal probability of occurring at any location

What does high positive spatial autocorrelation indicate?

Similar values cluster together

What is the purpose of hypothesis testing in spatial statistics?

To make inferences or draw conclusions about a population based on a sample of data

What is the main purpose of spatial regression models?

To control for spatially auto-correlated error or dependent variable

What is the term for the concept that the location of one event is independent of the location of another event?

2nd order effect

What is the condition for a join to be counted?

wi j = xi = xj = 1

What is the focus of the local join count statistic?

Individual observations and their neighbors

What is the purpose of the Global Moran's I tool?

To evaluate spatial autocorrelation based on feature locations and values

What is the range of the normalized Moran's I Index value?

-1.0 to +1.0

What is the purpose of the z-score and p-value in the Global Moran's I tool?

To evaluate the significance of the Moran's I Index value

What do the cross-products of deviation values in the Moran's I statistic indicate?

The similarity of neighboring feature values

This quiz covers the concepts of spatial autocorrelation, Moran's Index, and hypothesis testing in spatial statistics. Learn how to calculate confidence intervals and make inferences about a population based on a sample of data.

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