To Trim or Not to Trim : Tests of Location Equality Under Heteroscedasticity and Nonnormality  

Oleh:

Lix, Lisa M. ; Keselman, H. J.

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Educational and Psychological Measurement vol. 58 no. 3 (1998), page 409-429.
Topik: NORMALITY; tests; statistics
Fulltext: 409.pdf (1.82MB)

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: EE30.2 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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Isi artikel

Tests of mean equality proposed by alexander and govern, box, brown and forsythe, james and welch, as well as the analysis of variance F test, were compared for their ability to limit the number of type I error and to detect true treatment group differences in one - way, completely randomized designs in which the underlying distributions were non normal, variances were non homogeneous, and groups sizes were unequal. These tests were compared when the usual method of least squares was applied to estimate group means and variances and when yuen's trimmed means and winsorized variances were adopted. Based on the variables examined in this investigation, which included number of treatment groups, degree of population skewness, nature of the pairing of variances and group sizes, and non null effects of varying sizes, we recommend that researchers use trimmed means and winsorized variances with either the alexander and govern, james or welch tests to test for mean equality.

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