# What is an unbalanced ANOVA?

## What is an unbalanced ANOVA?

Page 1. Unbalanced two-factor ANOVA. The term “unbalanced” means that the sample sizes nkj are not all equal. A balanced design is one in which all nkj = n. In the unbalanced case, there are 2 ways to define sums of squares for factors A and B.

## Can ANOVA handle unbalanced data?

You can perform one way ANOVA with unequal sample sizes. You must consider the assumptions of Normality, equality of variance and independence ( that mentioned by Saigopal ) before using ANOVA and in a case of not correct assumption then you must use non-parametric test ( Kruskal-Wallis test ).

Can you do ANOVA with unequal variance?

If your groups have unequal variances, your results can be incorrect if you use the classic test. On the other hand, Welch’s ANOVA isn’t sensitive to unequal variances.

Can I do an ANOVA with unequal sample sizes?

Assumption Robustness with Unequal Samples The main practical issue in one-way ANOVA is that unequal sample sizes affect the robustness of the equal variance assumption. ANOVA is considered robust to moderate departures from this assumption. But that’s not true when the sample sizes are very different.

### What does the term unbalanced mean in ANOVA?

The term “unbalanced” means that the sample sizes nkjare not all equal. A balanced design is one in which all nkj= n. In the unbalanced case, there are 2 ways to define sums of squares for factors A and B. 1. SAS used notation that has gone beyond SAS. “Type III sums of squares” same as “partial SS” or “adjusted SS.”

### Why are sample sizes unequal in unbalanced factorial ANOVA?

Unbalanced Factorial ANOVA. In an unbalanced ANOVA the sample sizes for the various cells are unequal. Provided the cells sizes are not too different, this is not a big problem for one-way ANOVA, but for factorial ANOVA, the approaches described in Factorial ANOVA are generally not adequate.

What should effect size be in ANOVA test?

When the data are unbalanced the type = 3 is used by popular commercial softwares including SPSS. the effect size to compute and to show in the ANOVA results. Allowed values can be either “ges” (generalized eta squared) or “pes” (partial eta squared) or both. Default is “ges”.

What are the parameters of the ANOVA procedure?

The ANOVA Procedure 1 = sample mean of the j th treatment (or group), 2 = overall sample mean, 3 k = the number of treatments or independent comparison groups, and 4 N = total number of observations or total sample size. More