A professor studied which of the three statistical softwares

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.

Solution

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