A developmental psychologist would like to know whetherthere is a difference in the sociability scores of childrenaccording to the number of siblings they have. He chose threerandom samples of n = 5 children each according to three groups andmeasured their level of sociability using a standardized test. Thescores are shown in the table below. Do the scores indicatesignificant 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 ?.05. (15 pts)
b. Conduct two post hoc tests, Tukey’s HSD Test and theScheffe Test, both at ? .05, and compare your answers. (9pts)
Need help with the ten step by hand ANOVA ... specifically thesum of squres/between/within calculations in the hypothesistesting
and the steps associated with the post hoc tests
Thank you!!
