# level of significance for binary data

I'm trying to measure the level of significance of devoiced vowels in different linguistic contexts; whether or not certain contexts cause vowels to be devoiced.

Basically my data right now is a table with the contexts in the horizontal line (4 of them), and speaker on the vertical (speakers are not a variable, I just keep it for identification). The values filled in are yes or no (I left "no" as blanks), meaning yes this context caused devoicing , or no (no value) this context doesn't devoice this vowel.

How can I calculate level of significance of my data? If the result was actually significant due to different contexts or not.

This is the last part of my results chapter but I'm having trouble figuring it out.

• Was each context tested with different speakers? Than that would be a contigency table and a Chi-square-test of independence. I guess however, that the same speakers were examined in all 4 contexts, thus resulting in dependent samples. See en.wikipedia.org/wiki/Cochran%27s_Q_test whether Cochran Q test fulfills your requirements (let "context" be "treatment" and "block" be "speaker"). – Bernhard Nov 9 '16 at 13:06
• no the same speakers for tested four times. im reading about Cochran Q test and it seems right, thank you. – Luna md Nov 9 '16 at 13:36

                      Moon