<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Testing of parallelism of regression lines is discussed and the classical F-test is compared by means of simulations with a rank test computed by means of results of Sen’s 1969 AMS paper. A rank based multiple comparisons rule for detecting regression lines with different slopes is constructed and asymptotic distribution of the underlying statistic is derived. This rule is compared by means of simulations with the rule derived from the assumption that the random fluctuations are Gaussian.</p></abstract>

Testing of parallelism of regression lines is discussed and the classical F-test is compared by means of simulations with a rank test computed by means of results of Sen’s 1969 AMS paper. A rank based multiple comparisons rule for detecting regression lines with different slopes is constructed and asymptotic distribution of the underlying statistic is derived. This rule is compared by means of simulations with the rule derived from the assumption that the random fluctuations are Gaussian.

On parallelism of regression lines

Institute of Measurement Science Slovak Academy of Sciences D´ubravsk´a cesta 9 SK–841-04 Bratislava SLOVAKIA

Tatra Mountains Mathematical Publications

{"article-title":"On parallelism of regression lines"}

Testing of parallelism of regression lines is discussed and the classical F-test is compared by means of simulations with a rank test computed by means of...

On parallelism of regression lines

Published Online: Nov 13, 2012

Page range: 151 - 160

DOI: https://doi.org/10.2478/v10127-012-0015-y

Keywords
rank test statistic, equality of slopes of regression lines, hypotheses testing, multiple comparisons procedures, asymptotic distribution.

This content is open access.

On parallelism of regression lines

Published Online: Nov 13, 2012

Page range: 151 - 160

DOI: https://doi.org/10.2478/v10127-012-0015-y

Keywordsrank test statistic, equality of slopes of regression lines, hypotheses testing, multiple comparisons procedures, asymptotic distribution.

This content is open access.

Keywords
rank test statistic, equality of slopes of regression lines, hypotheses testing, multiple comparisons procedures, asymptotic distribution.