A professor studied which of the three statistical softwares was the best for hi

Question

A professor studied which of the three statistical softwares was the best for his students. He believed that the time (in hours) it took a student to master a particular software might be influenced by gender. A 3 Times 2 factorial experiment with three replicates was designed, as shown below: Complete the ANOVA table. Test at the 5% level of significance if the times students take to master a software differ across types of software. Test at the 5% level of significance if the factors of software type and gender of students interact.

Explanation / Answer

From SPSS we have

A) ANOVA Table:

B)

Null hypothesis: The times students take to master a software not differ across types of software

Alternative hypothesis:  The times students take to master a software differ across types of software

From above analysis

F statistic =0.923

Conclusion :Software: pavlue=0.424

p value< 0.05 Hence the times students take to master a software differ across types of software.

C)

Null hypothesis: There is no interaction betweenfactors of software and gender of student.

Alternative hypothesis:  There is a interaction betweenfactors of software and gender of student.

From above analysis

F statistic =0.837

Conclusion :pavlue=0.457

p value< 0.05, we reject the null hypothesis.

Hence There is a interaction betweenfactors of software and gender of student.

Between-Subjects Factors Value Label N gender 1.00 male 9 2.00 female 9 software 1.00 Excel 6 2.00 SAS 6 3.00 R 6

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