I have questionnaire data from subjects divided into 3 groups, G1, G2 and G3. Subjects had to answer a question, and they had the options A1, A2 or A3 to choose from. The correct answer depended on the group a subject was in: for G1 and G2 the correct answer was A1, and for G3 it was A2. A3 was never the correct answer.
I would like to compute a statistic that would tell me whether this sample, as a whole, were giving correct answers or not.
Had this been a 2x2 contingency table instead of a 3x3, I know that a chi-squared test would have given me the answer. For instance, a non-significant Yates-corrected χ2 would have suggested that subjects are answering by chance. I'm not sure, however, what test I need to use for this 3x3 contingency table. Someone suggested to me that a log-linear analysis or a correspondence analysis might be appropriate, however none of these are included in my stats package (Statistica, by StatSoft/Dell).
Thanks for any help.