Question

Researchers gave a family planning survey was given to the head(s) of household in a local community. In particular, one question asked the head(s) of households to indicate if they think the community has a great, some, or no need of family planning counseling. In addition, they were asked to indicate how many children are in the household. Researchers want to know if the number of children in the household is impacted by family planning counseling. What can they conclude with an α of 0.01?

great	some	no
0 0 2 3 1 2 0 1	6 2 3 1 5 4 3 5	9 4 3 2 9 7 5 4

f) Regardless of the H₀ decision in b), conduct Scheffe's post hoc test for the following comparisons:
1 vs. 2: test statistic =   ; significant:  ---Select--- Yes No
2 vs. 3: test statistic =   ; significant:  ---Select--- Yes No

Answer 1

ANSWER

f)

Test statistic, F'=   (X̅I - X̅j)²/(MSE*√(1ni+1/nj))

1 vs. 2: test statistic = 6.677   ; significant: yes
2 vs. 3: test statistic = 3.272 ; significant: NO

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