In a run-of-the-mill judgement rating task where participants have to rate sentences on a Likert scale (e.g. 1 to 6) and that is constructed using a Latin square design, what statistical tests can be used to check for lexicalisation effects and which is the most commonly used?
By lexicalisation, I mean checking the different realisations of each condition. So if there's a variable 'transitivity' giving two conditions, i.e. transitive and intransitive, I want to test whether any of the choices of transitive verbs behave in a different way to the other choices of verbs in that condition. Can it be shown just using t-tests?