I was trying to install on PHP Version 5.3.10-1ubuntu3.11 and I got the error. When I installed on a fresh machine with PHP Version 5.5.9-1ubuntu4.19 on it (Ubuntu 14.04 LTS), the install ran fine.

You can fix this by making the following changes to User.php

Add the code

    $dUserA = $this->getName($this->uid);
    $dUser = $dUserA[0]['full_name'];

just after line 331 ($changeOwnershipUrl = Yii::app()->getController()->createUrl('admin/user/sa/setasadminchild'); )

and then change all instances of $this->getName($this->uid) [0] [ 'full_name' ] to $dUser

Now, this may be a really bad idea because there could be other instances of similar code that will not parse in 5.3.10 so I would think upgrading PHP to 5.5+ would be a better idea

If you do not want to fix this then I suggest changing the documentation because it says that LimeSurvey will run on PHP 5.3.3+ which it clearly will not.