Researchers were interested in the relationship between mental health and living with a pet. Students were surveyed and grouped by pet type as either “Cats”, “Dogs”, or “No Pets”, and completed a scale on depressive symptoms on a scale of 1-7, where 7 indicates high levels of depressive symptoms. Using the data in the frequency table below, please conduct a one-way ANOVA to determine if there are any significant differences between these groups. Use α = .05, report η², and if the ANOVA is significant conduct a post-hoc tests using Scheffe Test. Finally, please report your answer in words (and numbers in APA style) and show all work. Structure your work in an ANOVA table.
Researchers were interested in the relationship between mental health and living with a pet. Students were surveyed and grouped by pet type as either “Cats”, “Dogs”, or “No Pets”, and completed a scale on depressive symptoms on a scale of 1-7, where 7 indicates high levels of depressive symptoms. Using the data in the frequency table below, please conduct a one-way ANOVA to determine if there are any significant differences between these groups. Use α = .05, report η², and if the ANOVA is significant conduct a post-hoc tests using Scheffe Test. Finally, please report your answer in words (and numbers in APA style) and show all work.
Structure your work in an ANOVA table.
Cats Dogs No Pets
x f x f x f
1 0 1 0 1 4
2 0 2 3 2 5
3 1 3 4 3 2
4 3 4 2 4 1
5 5 5 2 5 0
6 2 6 1 6 0
7 1 7 0 7 0
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