It sounds like you're working on a fascinating study! While your question seems to focus more on the aims of your research rather than a specific math problem, I can help you think about how to analyze your data statistically.
If you're observing communication patterns, you might want to consider using statistical methods to compare the interactions between children with autism and their typical peers. For example, you could use:
1. Descriptive Statistics: To summarize the data, such as calculating the mean, median, and mode of communication instances.
2. Inferential Statistics: To determine if there are significant differences between the two groups. You might use a t-test if you're comparing the means of two groups or ANOVA if you have more than two groups.
3. Correlation Analysis: To see if there's a relationship between the level of teacher involvement and the communication patterns observed.
If you have specific data or a particular analysis in mind, feel free to share, and I can help you with the calculations or the statistical methods you might use!