Researchers carried out an investigation on the effects of the author€™s gender and the rater€™s gender on the perceived quality of the article. Author€™s gender had three levels: Male, female, and no gender specified. An equal number of male and female graduate student volunteers were given exactly the same article to read and were asked to assign a quality score. One-third of the participants of each gender (n = 8) were told the author was John Davis, one-third were told the author was Jane Davis, and one-third were given no author name information. A table of means and the ANOVA summary table are shown below. Use this information to answer the questions in this exercise.

Table of Means

ANOVA Summary Table (Rater€™s Gender and Author€™s Gender)

1. Identify statistically significant pairwise differences among the three levels of author€™s gender using Tukey€™s HSD test and a significance level of .05. First, refer to Table G to identify the value of q that will be used in the computations.

2. Calculate HSD.

3. Find all possible absolute differences between pairs of means.

4. Identify statistically significant pairs of means.

5. Calculate the standardized effect size of any significant difference(s), Cohen€™s d, using formula 16.10 in your textbook.

Transcribed Image Text:

RATER'S GENDER Female 85.875 82.625 83.375 AUTHOR'S GENDER Male 83.875 71.875 Male (John Davis) Female (Jane Davis) No name 82.000 df SOURCE Rater's Gender Author's Gender Interaction Within Total MS 1 266.0208 2 246.6458 2 109.8958 40.0565 F p-value 266.0208 493.2917 6.6411 6.1574 2.7435 0.0136 0.0045 0.0759 219.7917 1682.3750 2661.4792 42 47