Graduate Level Statistics

Statistics for Behavioral Science

Part I

Hypothesis

Null hypothesis: Teaching Method “Relationship With Direct Supervisor” scores are equal to Teaching Method “Relationship with Coworkers” scores ( ). Alternative hypothesis: Teaching Method “Relationship with Direct Supervisor” scores are not equal to Teaching Method “Relationship With Coworkers scores” (). Rejection rule is that if p-value is less or equal to the critical value of 0.05 (Kock, 2015). From the output, p-value is 0.0001 and is thus less than the level of significance of 0.05. Hence, reject null hypothesis and conclude that there is a difference between the effectiveness of the two teaching methods. One advantage of one way ANOVA over multiple t tests is that it provides the overall test of equality of group means (Kock, 2015). Additionally, it can also control the overall type I error rate and hence prevent false positive finding.

Analysis of Variance results:

Data stored in separate columns. Column statistics

Column	n	Mean	Std. Dev.	Std. Error
Coworkers	50	1.92	0.66516838	0.094069015
Supervisor	50	2.5	1.0151907	0.14356965

ANOVA table

Source	DF	SS	MS	F-Stat	P-value
Columns	1	8.41	8.41	11.418398	0.001
Error	98	72.18	0.73653061
Total	99	80.59

Tukey HSD results (95% level)

Coworkers subtracted from

	Difference	Lower	Upper	P-value
Supervisor	0.58	0.2393806	0.9206194	0.001

References

Kock, N. (2015). One-tailed or two-tailed P values in PLS-SEM?. International Journal of e-Collaboration (IJeC), 11(2), 1-7.

Wilcox, R. (2017). Modern statistics for the social and behavioral sciences: A practical introduction. Chapman and Hall/CRC.