Moderate homogeneity violation is generally considered not to be serious with a large sample size and, in fact, with a large sample, you are more likely to reject homogeneity even when the violation is small.
One suggestion is this (https://online.stat.psu.edu/stat500/lesson/10/10.2/10.2.1#:~:text=There%20are%20three%20primary%20assumptions,The%20data%20are%20independent.).
A general rule of thumb for equal variances is to compare the smallest and largest sample standard deviations. This is much like the rule of thumb for equal variances for the test for independent means. If the ratio of these two sample standard deviations falls within 0.5 to 2, then it may be that the assumption is not violated.
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However, it may be that you can transform the analysis variable to improve homogeneity, say, by taking the log.
Another possibility would be to use generalized least squares regression if you have a variable that relates to the error variance.
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Jon Peck
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Original Message:
Sent: Sun October 23, 2022 02:48 AM
From: Sandy Lioupi
Subject: One- Way Anova homogeneity of variance
Hello everyone,
I run One Way Anova and have a significant Levene's Test and Welch & Brown-Forsythe.
Given the study's large sample size (15.119 participants), can I continue with One Way Anova?
I appreciate any help you can provide.
#SPSSStatistics