A researcher would like to determine the effects of School Type and SES on Math scores. Conduct the appropriate analysis to address this research question. Fully and substantively interpret the results of all relevant statistical tests conducted. Provide an appropriate plot to represent the interaction effect and describe the pattern of results. Do the results of the statistical test of the interaction from part (a) (provided) agree with those that appear in the plot? Explain why or why not

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A researcher would like to determine the effects of School Type and SES on Math scores. Conduct the appropriate analysis to address this research question. Fully and substantively interpret the results of all relevant statistical tests conducted.

Provide an appropriate plot to represent the interaction effect and describe the pattern of results. Do the results of the statistical test of the interaction from part (a) (provided) agree with those that appear in the plot? Explain why or why not.

Between-Subjects Factors
Value Label
School Type
1
Public
506
2
Private
94
Ses
1
Lower
139
2
Middle
299
3
Upper
162
Descriptive Statistics
Denendent Variable:Math score
Mean
Std. Deviation
Sch...
Public
Ses
Lower
47.15
8.404
131
Middle
51.46
9.352
249
Upper
56.06
9.161
126
Total
51.49
9.593
506
Private
Lower
48.75
3.370
8
Middle
55.04
8.418
50
Upper
53.83
8.300
36
Total
54.04
8.190
94
Total
Lower
47.24
8.201
139
Middle
52.06
9.286
299
Upper
55.57
9.000
162
Total
51.89
9.427
600
Transcribed Image Text:Between-Subjects Factors Value Label School Type 1 Public 506 2 Private 94 Ses 1 Lower 139 2 Middle 299 3 Upper 162 Descriptive Statistics Denendent Variable:Math score Mean Std. Deviation Sch... Public Ses Lower 47.15 8.404 131 Middle 51.46 9.352 249 Upper 56.06 9.161 126 Total 51.49 9.593 506 Private Lower 48.75 3.370 8 Middle 55.04 8.418 50 Upper 53.83 8.300 36 Total 54.04 8.190 94 Total Lower 47.24 8.201 139 Middle 52.06 9.286 299 Upper 55.57 9.000 162 Total 51.89 9.427 600
Tests of Between-Subjects Effects
Denendent Variable:Math score
Type III Sum
of Squares
Source
df
Mean Square
Sig.
Model
1.621E6"
6
270240.659
3.392E3
.000
SCType
45.330
1
45.330
.569
.451
SES
1168.009
2
584.005
7.330
.001
SCType * SES
565.705
2
282.853
3.550
.029
Error
47328.044
594
79.677
Total
1668772.000
600
a. R Squared = .972 (Adjusted R Squared = .971)
Transcribed Image Text:Tests of Between-Subjects Effects Denendent Variable:Math score Type III Sum of Squares Source df Mean Square Sig. Model 1.621E6" 6 270240.659 3.392E3 .000 SCType 45.330 1 45.330 .569 .451 SES 1168.009 2 584.005 7.330 .001 SCType * SES 565.705 2 282.853 3.550 .029 Error 47328.044 594 79.677 Total 1668772.000 600 a. R Squared = .972 (Adjusted R Squared = .971)
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