I have some linguistics categorical data to analyse. There are 5 speakers (M1-M5), and they read out certain words. The words are 200 in number, but speakers only read out the words if they understand its meaning. They are shown in random order with other filler words. The speakers produce sounds which are categorized in 4 categories - A,B,C,D. The data looks like this:
M1 M2 M3 M4 M5 ------------------ A 4 1 2 88 0 B 4 31 0 0 15 C 17 3 37 7 43 D 11 79 84 7 65
This means speaker M1 says 4 words which are in category A, 4 words in category B, 17 words in category C and 11 words in category D. This also means each speaker has a certain preference. I want to be able to conclude that they have specific preferences like M1 prefers C, M2 prefers D and so on.
I have been asked to use the Chi-sq test for this, but I am not sure if that is the right test. Any pointers?