In: Math
A developmental psychologist would like to know whether there is a difference in the sociability scores of children according to the number of siblings they have. He chose three random samples of n = 5 children each according to three groups and measured their level of sociability using a standardized test. The scores are shown in the table below. Do the scores indicate significant differences among the three groups?
No Sibling** |
x^2 |
SS1 |
One Sibling** |
x^2 |
SS2 |
Two Siblings** |
x^2 |
SS3 |
4 |
16 |
0.36 |
7 |
49 |
0.16 |
8 |
64 |
0.04 |
5 |
25 |
0.16 |
7 |
49 |
0.16 |
9 |
81 |
0.64 |
7 |
49 |
5.76 |
6 |
36 |
0.36 |
7 |
49 |
1.44 |
3 |
9 |
2.56 |
6 |
36 |
0.36 |
8 |
64 |
0.04 |
4 |
16 |
0.36 |
7 |
49 |
0.16 |
9 |
81 |
0.64 |
23 |
115 |
9.2 |
33 |
219 |
1.2 |
41 |
339 |
2.8 |
a. Using the 5 steps of hypothesis testing, test at α .05. (15 pts)
b. Conduct two post hoc tests, Tukey’s HSD Test and the Scheffe Test, both at α .05, and compare your answers. (9 pts)
Need help with the ten step by hand ANOVA ... specifically the sum of squres/between/within calculations in the hypothesis testing
and the steps associated with the post hoc tests
Thank you!!