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# Analysis of covariance (ANCOVA)

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To investigate three approaches to problem solving, 30 six-graders were assigned to three treatment conditions T1, T2, T3 . Where T1 = control, and T2 and T3 are two experimental conditions. The control group subjects received no training while T2 received film-and-discussion training, while T3 received practical training. At the conclusion of the study, the number of solutions proposed summed across five problems were researched. The Wallach and Kogan's test of association thinking was administered before the experiment. The data follows:

Y : 11, 12, 19, 13, 17, 15, 17, 14, 13, 16
T1
X : 21, 23, 25, 23, 23, 24, 24, 20, 22, 24

Y : 11, 14, 10, 9, 12, 13, 10, 8, 14, 11
T2
X : 21, 24, 21, 20, 23, 24, 23, 21, 25, 24

Y : 7, 18, 16, 11, 9, 10, 13, 14, 12, 12
T3
X : 21, 26, 25, 21, 22, 23, 25, 24, 24, 23

Use an ANCOVA model to analyze these data

a) State model and model assumptions
b) What is the null hypothesis
c) Analyze the data

NOTE: I need only explanations, hypothesis, model, etc. to be written down. The calculation parts needs to be done in SPSS or SAS, and I need SPSS/SAS outputs,codes too.

Reply to posting: I have no idea what X and Y represents (may be gender), but i dont think they are important just use them as one group (T1, T2, and T3).
To solve this question three groups Analysis co-variance (ANCOVA) should be used (its in the question, i cant change it to ANOVA)...

##### Solution Summary

This problem was analyzed as a one-way analysis of covariance (ANCOVA). The tool for the analysis was PROC GLM in SAS.

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