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Related Concept Videos

Cluster Sampling Method01:20

Cluster Sampling Method

Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
Applications of Normal Distribution01:22

Applications of Normal Distribution

The normal distribution is a useful statistical tool. One of its practical applications is determining the door height after considering the normal distribution of heights of persons, such that many can pass through it easily without striking their heads. The normal distribution can also determine the probability of a person having a height less than a specific height.
The heights of 15 to 18-year-old males from Chile from 1984 to 1985 followed a normal distribution. The mean height is 172.36...
Distributions to Estimate Population Parameter01:26

Distributions to Estimate Population Parameter

The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually unknown. These are fixed values that can only be estimated from the data collected from the samples. The estimates of each of these parameters are sample proportion, the sample mean, and sample standard deviation (or variance). To obtain the values of these sample statistics, data are required that have particular distribution and central...
Normal Distribution01:11

Normal Distribution

The normal, a continuous distribution, is the most important of all the distributions. Its graph is a bell-shaped symmetrical curve, which is observed in almost all disciplines. Some of these include psychology, business, economics, the sciences, nursing, and, of course, mathematics. Some instructors may use the normal distribution to help determine students’ grades. Most IQ scores are normally distributed. Often real-estate prices fit a normal distribution. The normal distribution is extremely...
Student t Distribution01:31

Student t Distribution

The population standard deviation is rarely known in many day-to-day examples of statistics. When the sample sizes are large, it is easy to estimate the population standard deviation using a confidence interval, which provides results close enough to the original value. However, statisticians ran into problems when the sample size was small. A small sample size caused inaccuracies in the confidence interval.
The Student t distribution was developed by William S. Goset (1876–1937) of the...
Random Error01:04

Random Error

Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...

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Related Experiment Video

Updated: Jun 27, 2026

Mapping Cortical Dynamics Using Simultaneous MEG/EEG and Anatomically-constrained Minimum-norm Estimates: an Auditory Attention Example
08:45

Mapping Cortical Dynamics Using Simultaneous MEG/EEG and Anatomically-constrained Minimum-norm Estimates: an Auditory Attention Example

Published on: October 24, 2012

Spatial event cluster detection using an approximate normal distribution.

Mahmoud Torabi1, Rhonda J Rosychuk

  • 1Department of Pediatrics, University of Alberta, Edmonton, Alberta, Canada. mtorabi@ualberta.ca

International Journal of Health Geographics
|December 17, 2008
PubMed
Summary
This summary is machine-generated.

A new approximate normal distribution method simplifies disease cluster detection for multiple events. This approach is easier to implement and understand than the compound Poisson method, especially for large datasets and complex analyses.

Related Experiment Videos

Last Updated: Jun 27, 2026

Mapping Cortical Dynamics Using Simultaneous MEG/EEG and Anatomically-constrained Minimum-norm Estimates: an Auditory Attention Example
08:45

Mapping Cortical Dynamics Using Simultaneous MEG/EEG and Anatomically-constrained Minimum-norm Estimates: an Auditory Attention Example

Published on: October 24, 2012

Area of Science:

  • Epidemiology and Biostatistics
  • Public Health Surveillance

Background:

  • Geographic surveillance identifies disease clusters to investigate causes of high disease rates.
  • Traditional cluster detection methods focus on incident or prevalent cases, but surveillance of multiple disease-related events per individual is also important.
  • The compound Poisson approach for event clusters can be computationally intensive due to recursion relations, especially with large event numbers or stratified analyses.

Purpose of the Study:

  • To propose a simpler, more accessible method for geographic disease cluster detection using an approximate normal distribution.
  • To evaluate the performance of this new method compared to the existing compound Poisson approach.

Main Methods:

  • Developed an approximate normal distribution method for detecting clusters of disease-related events.
  • Applied the normal approach to pediatric self-inflicted injury data presenting to emergency departments.
  • Conducted Monte Carlo simulations to assess the method's performance across various population sizes and event thresholds.

Main Results:

  • The normal approach identified 12 out of 13 clusters found by the compound Poisson method in the self-inflicted injury data.
  • Simulation studies demonstrated that the normal approach effectively approximates the compound Poisson approach under diverse conditions.
  • The normal method showed good performance across different population sizes and event thresholds.

Conclusions:

  • The approximate normal distribution method offers a flexible and easily implemented alternative to the compound Poisson approach for disease cluster detection.
  • This method is particularly advantageous when dealing with large event counts or stratified analyses, overcoming the computational intensity of recursion relations.
  • The simplicity of the normal approach facilitates understanding for non-statisticians involved in interpreting cluster detection results.