You wish to compare the effectiveness of four methods for teaching metacognitive

Question

You wish to compare the effectiveness of four methods for teaching metacognitive strategies to elementary school children. A group of 40 5^th graders is randomly divided into four subgroups, each of which is taught according to one of the different methods. You then individually engage each child in a "think aloud" problem-solving task, during which you record the number of metacognitive strategies the child invokes. The results are as follows: State H_0 Calculate M_1, M_2, M_3, M_4 and M_G. M1 = _____ M2 = _____ M3 = _____ M4 = _____ MG = _____ Compute SS_Total, SS_within and SS_between. Fill in the blanks with your answers. Show your work on your attached sheet SS_with = _____ SS_between = _____ SS_total = _____ Complete an F test (p=0.05). Fill in the blank cells in the table. The cells that are blacked out do not need to be filled in. Attach your work on a separate sheet of paper State your statistical decision regarding H_0 Apply the Tukey test (p=0.05). To help, fill in a matrix of the differences between the means (as shown on page 191 in Tanner) using the attached table. Your final result should detail which groups were found to be significantly different from one another. Show your work on your attached sheet Conclusion statement here: Compute the partial eta-squared (SHOW YOUR WORK) and interpret (no more than 2 sentences).

Explanation / Answer

SolutionA:

Null hypothesis:

H0: All groups means are equal

group1=group2 = group3 =group4

Alternative Hypothesis:

Atleast one of the means are different

SolutionB:

M1=sum of observations/total observations

=242/10

=24.2

M2=295/10=29.5

M3=331/10=33.1

M4=264/10=26.4

MG=242+295+331+264/40=28.3

Solutionc:

SS between=449

SS within=1629

total=2078

Solutiond:

SolutionE:

p value=0.031

alpha=0.05

p<alpha

Reject Null hypothesis

Accept alternative Hypothesis

there is sufficient evidence at 0.05 level of significance to support the claim that atleast one of the methods of teaching are different.

SS df MS F p Between 449 3 149.667 3.308 0.031 Within 1629 36 45.25 Total 2078 40

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