Islam, Tanweer
(2016):
*Preliminary tests of homogeneity- type I error rates under non-normality.*

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## Abstract

Many statistical procedures utilize preliminary tests to enhance the accuracy of the final inferences. Preliminary tests like Goldfeld-Quandt (GQ) and Levene-type tests are used to assess the assumption of equality of population variances with normality as the underlying distributional assumption. Such tests must be used with care as the final inferences are conditional on the performance of these tests at first stage. This study explores the size distortions of GQ and Levene-type tests under non-normality. The results do not warrant the use of GQ & Levene test under non-normality as the size distortions are as high as 88 & 48% for the respective statistics. However, the modified form of Levene test (BF-test) retains its size properties except for the multi-model alternatives with relatively big outliers.

Item Type: | MPRA Paper |
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Original Title: | Preliminary tests of homogeneity- type I error rates under non-normality |

English Title: | Preliminary tests of homogeneity- type I error rates under non-normality |

Language: | English |

Keywords: | Size Distortions, Levene test, equality of variances |

Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C12 - Hypothesis Testing: General C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63 - Computational Techniques ; Simulation Modeling |

Item ID: | 84108 |

Depositing User: | Dr Tanweer Islam |

Date Deposited: | 26 Jan 2018 10:15 |

Last Modified: | 26 Sep 2019 19:27 |

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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/84108 |