This is about my PhD thesis where I am trying to see the pattern of memory deficit among different types of hypothyroidism. I have used a between subject group design with 1 IV with four levels. Thus, I have 4 four groups which are:

Subclinical Hypothyroid group N= 14

Overt Hypothyroid group N= 15

Euthyroid group N = 12

Healthy Control Group N = 15

I am using multiple types of memory measures broadly speaking I have administered 1 test of verbal memory with 6 types of scores (DVs) and 2 Tests for working memory with 4 types of scores. I have been ask by some faculties y department to apply One-way MANOVA.

Coming to the issue I am facing is that applying One-way Manova would require meeting several assumptions which my data does not. My data fails to meet the following assumptions:

Normality (univariate)

Linearity within DVs

No of Cases per DVs

Moreover, I searched through my literature I did not found any previous author to use MANOVA to evaluate statistical difference between the groups. Most of the researcher employed pre-post test design but used univariate measures like ANOVA/t-test to measure the statistical difference. So in the light of my issues with my data and the previous researches should I go for multiple One-way ANOVA? What measures I should take to control type I error and also type II error???

Thanks

Vatsal