General Pivotal Goodness of Fit Test Based on Kernel Density Estimation

Hani M. Samawi; Robert L. Vogel

General Pivotal Goodness of Fit Test Based on Kernel Density Estimation

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we introduce a pivotal goodness of fit test based on empirical kernel density estimation. Our investigation reveals that the new test is more powerful than the traditional goodness of tests found in the literature; namely, the Chi-square and the Kolmogorov-Smirnov (KS) goodness of fit tests. Intensive simulation is conducted to examine the power of the proposed test. Data from a level I Trauma center are used to illustrate the procedures developed in this paper.

Original language	American English
Journal	JP Journal of Biostatistics
Volume	8
State	Published - Jan 1 2012

Keywords

Goodness of fit tests
Power of the test
Kernel density estimation
Chi-Square Test
Kolmogorov-Smirnov Test

DC Disciplines

Biostatistics
Community Health
Public Health

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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http://www.pphmj.com/abstract/7555.htm

Cite this

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title = "General Pivotal Goodness of Fit Test Based on Kernel Density Estimation",

abstract = " In this paper, we introduce a pivotal goodness of fit test based on empirical kernel density estimation. Our investigation reveals that the new test is more powerful than the traditional goodness of tests found in the literature; namely, the Chi-square and the Kolmogorov-Smirnov (KS) goodness of fit tests. Intensive simulation is conducted to examine the power of the proposed test. Data from a level I Trauma center are used to illustrate the procedures developed in this paper.",

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N2 - In this paper, we introduce a pivotal goodness of fit test based on empirical kernel density estimation. Our investigation reveals that the new test is more powerful than the traditional goodness of tests found in the literature; namely, the Chi-square and the Kolmogorov-Smirnov (KS) goodness of fit tests. Intensive simulation is conducted to examine the power of the proposed test. Data from a level I Trauma center are used to illustrate the procedures developed in this paper.

AB - In this paper, we introduce a pivotal goodness of fit test based on empirical kernel density estimation. Our investigation reveals that the new test is more powerful than the traditional goodness of tests found in the literature; namely, the Chi-square and the Kolmogorov-Smirnov (KS) goodness of fit tests. Intensive simulation is conducted to examine the power of the proposed test. Data from a level I Trauma center are used to illustrate the procedures developed in this paper.

KW - Goodness of fit tests

KW - Power of the test

KW - Kernel density estimation

KW - Chi-Square Test

KW - Kolmogorov-Smirnov Test

UR - https://digitalcommons.georgiasouthern.edu/biostat-facpubs/66

UR - http://www.pphmj.com/abstract/7555.htm

M3 - Article

VL - 8

JO - JP Journal of Biostatistics

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General Pivotal Goodness of Fit Test Based on Kernel Density Estimation

Abstract

Keywords

DC Disciplines

UN SDGs

Access to Document

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