A Comparison of EWMA Chart Statistics for Michigan Geospatial Data

Presentation Type

Oral and/or Visual Presentation

Presenter Major(s)

Biostatistics

Mentor Information

Paul Stephenson

Department

Statistics

Location

Kirkhof Center 2216

Start Date

11-4-2012 12:00 PM

Keywords

Information, Innovation, and Technology, Health, Mathematical Science

Abstract

Geographic Information Systems (GIS) are often used to accumulate and present data. Visualization of GIS data through maps is useful in displaying emerging patterns, but they can be misleading. In addition to visualization tools, one needs appropriate statistical methods to determine whether the observed data from a series of maps (constructed over a period of time) indicate that a systematic trend is developing. One statistical tool often used is the Moran's I statistic, which measures spatial autocorrelation. The author will examine the use of Exponentially Weighted Moving Average Charts in monitoring the Moran's I statistic for Michigan geo-spatial data. The focus of the presentation will be the comparison of the Average Run Length (ARL) and Average Time to Signal (ATS) as measures of how quickly a shift in spatial dispersion can be detected.

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Apr 11th, 12:00 PM

A Comparison of EWMA Chart Statistics for Michigan Geospatial Data

Kirkhof Center 2216

Geographic Information Systems (GIS) are often used to accumulate and present data. Visualization of GIS data through maps is useful in displaying emerging patterns, but they can be misleading. In addition to visualization tools, one needs appropriate statistical methods to determine whether the observed data from a series of maps (constructed over a period of time) indicate that a systematic trend is developing. One statistical tool often used is the Moran's I statistic, which measures spatial autocorrelation. The author will examine the use of Exponentially Weighted Moving Average Charts in monitoring the Moran's I statistic for Michigan geo-spatial data. The focus of the presentation will be the comparison of the Average Run Length (ARL) and Average Time to Signal (ATS) as measures of how quickly a shift in spatial dispersion can be detected.