Asymptotics for Analysis of Variance When the Number of Levels is Large

By Michael G. Akritas, Steven F. Arnold. 2000

66 citations recorded by the source corpus.

Subfields: Environmental Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/e9231a0f17f8ab5fb253a43b193d0be2658b7830

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Environmental Engineering

1. Arne C. Bathke
2. K. Moder

In Statistics and Probability

1. K. Moder
2. Arne C. Bathke
3. Hangcheng Liu

Citations in the corpus

• Alternatives to F-Test in One Way ANOVA in case of heterogeneity of variances (a simulation study) (2010, background): “There is some evidence, that in a two or multi-factorial design type I error rate is approximately met if the number of factor levels tends to infinity for a certain factor while the number of levels is fixed for the other factors (Akritas & S., 2000, Bathke, 2004).”
• The ANOVA F test can still be used in some balanced designs with unequal variances and nonnormal data (2004, result): “One of the drawbacks of the results mentioned above is that all authors (Boos and Brownie, 1995; Akritas and Arnold, 2000; Bathke, 2002) have only considered a homoscedastic model, i.”