Please fill out the highlited sections in the table below exactly as shown, use

Question

Please fill out the highlited sections in the table below exactly as shown, use alpha =.05 in this analysis.

Mathematics word problems can be particularly difficult, especially for primary-grade children. A recent study investigated a combination of techniques for teaching students to master these problems (Fechs, Craddock, Hollenbeck, Hamlett &Schatschneider, 2008). The study investigated the effectiveness of small-group coaching and the effectiveness of a classroom instruction technique known as "hot-math". The hot-math program teaches students to recognize types of categories of problems so that they can generalize skills from one problem to another. The data presented below are hypothetical results which are similar to the actual research data. The dependent variable is math test score for each student after 16 weeks in the study.

Coaching NO Coaching Coaching 6 7 5 6 TRADITIONAL 7 5 INSTRUCTION 3 7 2 8 7 9 n M T What is T - Row 1? SS 4 9 7 8 HOT MATH 7 11 INSTRUCTION 3 10 5 6 4 10 n M T What is T - Row 2? SS T - Column 1 T - Column 2 G N (X^2) SOURCE SS df MS Between-Rx Coaching Instruct Coaching X Inst. Within-Rx TOTAL F: Coach d.f.'s F-Calculated F: INSTRUCT d.f.'s F-Calculated F: INTERACT. d.f.'s F-Calculated EFFECT SIZE Eta Squared Coach Instruction Interaction

Explanation / Answer

Coaching NO Coaching Coaching 6 7 5 6 TRADITIONAL 7 5 INSTRUCTION 3 7 2 8 7 9 n 6 6 M 5 7 T 30 42 5 SS 22 10 4 9 7 8 HOT MATH 7 11 INSTRUCTION 3 10 5 6 4 10 n 6 6 M 5 9 T 30 54 5 SS 14 16 T - Column 1 T - Column 2 G 6.5 N 24 (X^2) 1142 coaching no coaching coaching mean 5 8 6.5 instrucion mean 6 7 6.5 SOURCE SS df MS Between-Rx 62 20 3.1 error component Coaching 54 1 54 Instruct 6 1 6 Coaching X Inst. 6 1 6 Within-Rx this is same as coaching x inst TOTAL 128 23 F: Coach d.f.'s 1 F-Calculated           17.42 F: INSTRUCT d.f.'s 1 F-Calculated            1.94 F: INTERACT. d.f.'s 1 F-Calculated            1.94 EFFECT SIZE Eta Squared Coach            0.42 Instruction            0.05 Interaction            0.05

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