Q. No. 85 – 89 are based on the following paragraph. Read the following paragraph and answer the five questions that follow : A researcher collected the data on logical reasoning and spatial reasoning from 200 students (equal number of boys and girls) of engineering college covering the specializations of civil and computer engineering by using a stratified sampling method. Information about students marks in the semester-end examination and information about the parents’ annual income was also collected (both the variables were measured on a continuum).
How many interactions effects could be studied in this case ?
One
In a factorial design, the number of interaction effects depends on the number of factors, not the number of levels. With k factors, the possible interactions are all combinations of two or more factors, which number \(2^k - k - 1\).
This study has two factors, gender and engineering specialization, so \(2^2 - 2 - 1 = 1\). The single interaction is gender × specialization: whether the gender difference in reasoning scores depends on whether students are in civil or computer engineering.
The other effects in the design are the two main effects (gender and specialization), which are not interactions.
Hence, the answer is one.
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