# Unequal Sample Size

#### Sduarte

##### New Member
With two unequal sample sizes (n=8, n=326) can you use the means scores of each group in a t-test of sample means?

#### Miner

##### TS Contributor
What is the hypothesis that you want to test?

#### Sduarte

##### New Member
What is the hypothesis that you want to test?
That there is or is not a significant difference between the two means

#### Miner

##### TS Contributor
Between CEO and Employees? So you are not evaluating a difference between companies?

Each company has n=1 for the CEO score, and an mean score for the employees? Is the sample n=326 for each company or is n=236 the total for all companies?

#### Sduarte

##### New Member
Yes, between CEOs and employees. The CEO self-assessed their leadership style using a Likert scale (0-4). The employees rated their CEO with the rater version of the leadership style assessment.

#### Sduarte

##### New Member
For clarification, the CEO scores are not mean scores, they are actual. The employee scores are the mean scores. Only the summative means scores are actual means of both groups.

#### Karabiner

##### TS Contributor
So you have a sample of n=8 companies. You can compare each self-assessment
with the corresponding aggregated assessment, using Wilcoxon signed rank test
(a dependent samples t-test is not recommended, due to the very small sample size).

With kind regards

Karabiner

#### Sduarte

##### New Member
So you have a sample of n=8 companies. You can compare each self-assessment
with the corresponding aggregated assessment, using Wilcoxon signed rank test
(a dependent samples t-test is not recommended, due to the very small sample size).

With kind regards

Karabiner

#### Sduarte

##### New Member
I am not sure if I am following your suggestion. Take company 1 for example, there were 1 CEO and 42 employees. The CEO rated himself 1.8 and the 42 employee ratings were tabulated with a mean of 2.3. Wilcoxon would tell me if there is a significant difference between these two scores