AP2. A college professor endeavoring to find the best way to present a difficult
ID: 3311413 • Letter: A
Question
AP2. A college professor endeavoring to find the best way to present a difficult topic divided 36 students into four groups of 9 students each. Students in condition "Lecture" received his standard lecture on the topic. Students in condition "Lecture+Supp" received the same lecture plus supplementary reading material. Students in condition "Video+Supp" received the same supplementary reading and saw a video Finally, students in condition Video+Disc saw the same video and then had a discussion about the video All the students were then given a test on the topic. The following two tables present the results. Table 1 ANOVA Summary Table df MSF Source Presentation Method Within groups 907.264 l'otal **pExplanation / Answer
Part a
For the given ANOVA test, the null and alternative hypotheses are given as below:
Null hypothesis: H0: There is no any statistically significant difference in the average scores of different four groups of the students based on learning methods.
Alternative hypothesis: Ha: There is a statistically significant difference in the average scores of different four groups of the students based on learning methods.
For checking this hypothesis one way ANOVA F test is used. The ANOVA table gives the test statistic value as F = 6.89 with df1 = 3, df2 = 32. The F value is statistically significant at 1% level of significance. This means we reject the null hypothesis H0. There is a statistically significant difference in the average scores of different four groups of the students based on learning methods.
Further, post hoc test by using Tukey’s HSD, differences between different pairs of means found statistically significant.
(Above scenario is explained for statistically educated person.)
Part b
We want to check whether there is any significant difference in the average scores of students if they are allotted to four different types of learning methods. Four groups of students allocated to four different teaching and learning methods such as ‘Lecture’, ‘Lecture plus supplementary reading’, ‘Video plus supplementary reading’, and ‘Video plus discussion’. After conduction of the statistical analysis by using specific technique of comparing averages, it is found that there is a statistically significant difference in the average scores of different four groups of the students based on learning methods. Some more statistical analysis also explains that no any two learning methods have the same effect on average scores.
(Above scenario is explained for person who doesn’t know statistics or statistical methods.)