amatongtrisia05

amatongtrisia05

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amatongtrisia05University of Science and Technology of Southern Philippines

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A group of linguists tested how listeners perceived accents after hearing biased comments about a person’s speech. The participants in the experiment were English speakers living in Montreal, where both English and French are spoken, and participants rated recordings of local French speakers on their L2 English. The listeners were tested with three types of comments about the recordings: one group heard no comments (baseline), one group heard comments that were positive about local French speakers’ English, and one group heard negative comments about their English. The researchers hypothesized that hearing positive comments would lead to higher ratings for the French speakers’ English, and that hearing negative comments would lead to lower ratings.

Dataset: attitudes-fall2022.txt.

Columns: participant is a number identifying the participant. rating is the mean rating a participant gave, bias_group is the group they were in, and age is their age bracket.

Part A (SA5): Load the dataset attitudes-fall2023.txt into the variable sa5 and then compute the following.

1. For each level of bias_group, compute the mean and standard deviation of the rating for that group. Store these as sa5.negative.mean, sa5.baseline.mean, sa5.positive.mean, sa5.negative.sd, and so on.

2. Now for each combination of bias_group and age, compute the mean and standard deviation of the rating. Name the variables as sa5.older.negative.mean, sa5.younger.negative.mean, sa5.younger.baseline.sd, and so on (e.g. the format is sa5.AGE.BIAS_GROUP.STATISTIC).

3. Compute an ANOVA to test if there is a main effect of bias_group on rating. (In other words, does the rating depend on the group participants were in?) Assume that the observations are independent. Store the result of your computation in sa5.anova1.

4. Conduct a post-hoc test using TukeyHSD() to show which levels of bias_group (if any) exhibit the effect. Store the results in sa5.anova1.posthoc.

5. Compute an ANOVA to test if there is a main effect of bias_group and age on rating, and an interaction between bias_group and age. Assume that the observations are independent. Store the result of your computation in sa5.anova2.

6. Conduct a post-hoc test using TukeyHSD() on the results of your ANOVA. Store the results in sa5.anova2.posthoc.

7. Compute an ANOVA to test if there is a main effect of bias_group and age on rating, and an interaction between bias_group and age. The observations are not independent, so you’ll need to use a repeated measures ANOVA this time, with participant as the subject variable. Store the result of your computation in sa5.anova3.

8. Finally, let’s try to compute a mixed ANOVA. In a mixed ANOVA, at least one independent variable is presented within-subjects, and at least one independent variable is presented between-subjects. In this experiment, age is a between-subjects variable, while bias_group is a within-subjects variable. Store your result in sa2.anova3. 

 



Part B:

Using your computations from part A (the previous section), answer the following questions.

1. Produce a boxplot to visualize the relationships between the different levels of bias_group. Remember to adequately label your plot.

2. Report the result of your one-way classic ANOVA (stored as sa5.anova1).

3. Produce an interaction plot to visualize any interactions between the effects of group and age on ratings. Use bias_group as your trace factor, age as your x factor, and rating as your response. Remember to adequately label your plot.

4. Produce a table to present the means of all the groups in the data. Along the top should be the names of the bias groups, and along the left should be the name of the age groups. The following is a starting point:

                    Baseline                           Positive                           Negative

Old

Young

 

5. Report the result of your two-way classic ANOVA (stored as sa5.anova2).

6. Report the result of your two-way mixed ANOVA (stored as sa5.anova3). 


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