The following table lists measures of self-esteem obtained from a student project as supervised by Jannay Morrow at Vassar College (based on data from Richard Lowry). The objective of the project was to study how levels of selfesteem in subjects relate to their perceptions of self-esteem in other target people who were described in writing. Self-esteem levels were measured using the Cooper smith Self-Esteem Inventory, and the test here works well even though the data are at the ordinal level of measurement. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What do you conclude?

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Subject's Self-Esteem Medium High 3 5 3 4 4 2 3 5 3 2 2 4 4 2 2 3 Target's Self-Esteem 3 2 3 2 3 4 3 4 4 3 4 2 2 3 2 4 High 2 4 3 1 2 3