The “intelligence quotients” (IQ) of three groups of students are tested. Groups A, B and C correspond to highest-income families to lowest-income families. The researchers claim that students in Group A are the most intelligent because their average IQ is above 120 (namely 123.75). They also claim the students in Group C will not finish college because their average IQ is below 120 and the lowest at 117.88.
a) On a purely statistical basis, analyse the results (using ANOVA) and report your findings.
b) Critique the study on grounds such as sample size, ethics and the validity of using a measure such as IQ.
The data collected by the researchers is displayed in the figure below:
|
Group A |
Group B |
Group C |
|
135 |
120 |
120 |
|
130 |
125 |
118 |
|
100 |
110 |
125 |
|
140 |
130 |
128 |
|
100 |
90 |
125 |
|
95 |
140 |
120 |
|
145 |
100 |
130 |
|
105 |
118 |
120 |
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