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Testing Uniformity on the Circle using Spacings when Data are Rounded

Abstract Number:

2888 

Submission Type:

Contributed Abstract 

Contributed Abstract Type:

Paper 

Participants:

Sreenivasa Rao Jammalamadaka (1), Kaushik Ghosh (2), Sridhar Akiri (3)

Institutions:

(1) Univ of California, SB, N/A, (2) University of Nevada-Las Vegas, N/A, (3) Gandhi Institute of Technology and Management, India

Co-Author(s):

Kaushik Ghosh  
University of Nevada-Las Vegas
Sridhar Akiri  
Gandhi Institute of Technology and Management

First Author:

Sreenivasa Rao Jammalamadaka  
Univ of California, SB

Presenting Author:

Kaushik Ghosh  
University of Nevada-Las Vegas

Abstract Text:

Tests for uniformity on the circle based on spacings, such as the Rao's spacing test, assume that the data are measured on a continuous scale. In practice however, recorded observations are often rounded values, ignoring which can result in incorrect inference, especially if the degree of rounding is quite severe or if the sample size is large. In this article, we propose a simple modification to the rounded data that allows us to continue to use the Rao's spacing test and its available critical values, without affecting the probability of Type I error. In support of the theoretical justification, we provide simulation studies to demonstrate how our proposed method works and evaluate its performance.

Keywords:

circular data|spacings|rounding|test for uniformity|Rao's spacing test|

Sponsors:

Section on Nonparametric Statistics

Tracks:

Applications of nonparametric methods

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