Question

A researcher is interested in whether the phonics method of teaching reading is more or less effective than the sight method, depending on what grade the child is in. Twenty children were randomly selected from each of three grades: kindergarten (K), first grade (1), and second grade. Achievement was measured in terms of reading comprehension where higher scores indicate better comprehension. Within each grade, 10 children were assigned to each of two methods of teaching reading - phonics or sight. The data are as follows: Grade Levels K 1 2 K 1 2 14 25 49 17 35 34 20 29 49 22 36 33 16 27 46 19 40 34 Sight 21 31 46 Phonics 20 34 39 20 27 44 26 37 38 14 34 43 18 41 33 21 32 50 26 42 35 23 34 43 18 33 42 14 35 48 25 34 42 15 28 52 23 43 38 a. State the Null hypotheses for each main effect and interaction – 5 points a. The different methods for teaching reading do not show a significant difference. b. Present the means and SD for each level of each factor– 5 points c. Test the null hypothesis for both main effects and interactions and present the ANOVA source table with all relevant statistics– 15 points. Tests of Between-Subjects ANOVA source Table Dependent Variable: RC Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared method grade method * grade Error Total Corrected Total a. R Squared = (Adjusted R Squared = . Sig = 0 means p is < .001. SPSS takes out the probability value to 8 decimals. So, reporting Sig as .000 means the probability (p) is less than or below the .001 level. d. Specify all variables– 5 points. e. Compute, report and explain results from the HSD post hoc follow-up test– 10 points.. f. Present a graph of the interaction of the two factors– 5 points. g. Write a statement as to your conclusions– 5 points..

Answer 1