A school psychologist is examining the development of children's reading skills from ages 4 to 6. The psychologist selected three different groups of children from classrooms at Smith Central School, one group for each age. The children are placed in a language skills program aimed at building reading comprehension and phonetic awareness, after which a reading skills assessment test is administered to each child. The test is scored on a 10-point scale. The following data show the results:
Results
Age 4 Age 5 Age 6
4 1 0
G = 43
ƩX2 = 193
6 4 2
3 5 0
7 2 2
5 2 0
T = 25 T = 14 T = 4
SS = 10 SS = 10.8 SS = 4.8
Use an analysis of variance with a = .05 to determine whether these data indicate any significant mean differences among the treatments (age groups). Remember to 1) State the null hypothesis, 2) Show all of your calculations, 3) Make a decision about your null hypothesis, 4) Make a conclusion including an APA format summary of your findings (include a measure of effect size if necessary), and 5) Indicate what you would do next given your findings.