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Home Grades Personalized Reviews Discussion Course Materials Two-Factor Analysis of variance (Independent Measures) Graded Assignment I Read Chapter 14 Back to Assignment Due Sunday 05.14.17 at 11:45 Pi Attempts: Average 111 6. A two-factor ANOvA: the null hypotheses, interpretation, and assumptions Aa Aa teacher suspects that the time he administers a test, and what sort his students have before the test, affects their performance. To test his theory, he students to one of three g assigns 90 fourth-grade one group gets candy lollipop) for their 9:55 AM snack. Another group gets a high-p snack (beef jerky) for their AM snack. The third group not get a 9:55 AM snack. The teacher also randomly assigns 10 of the students in each snack group to take the test at three different 10:00 AM (right after 11:00 AM (an hour after snack), and 12:00 PM times: snack), (right before lunch). suppose that the teacher uses a two-factor independent-measures ANOVA to analyze these data Without post hoc tests, which of the following questions can be answered by this analysis? Check all that apply. Note: Assume that receiving no snack is considered one type of snack.) Does student performance on the test depend on the time of the test? Do students who eat a candy snack score higher than students who have no snack? ere to search

Explanation / Answer

a) Does student performance on the test depend on the time of the test. Main effect of time of test.
Does the effect of the timing of the test depend on the type of snack the students eat. Interaction effect
Does the type of snack affect student performance on the test. Main effect of type of snack.

The above can be answered by a two factor independent anova test.

b) Since the lines for different type of snack are not parallel and cross over is seen, there is likely an interaction effect.

The marginal means for different type of snack from the table are all same and therefore there is no main effect due to the type of snack.

The marginal means for different time of test have different values and therefore there is likely a main effect on score due to the time of the test.

Answer: There is no interaction between the type of snack and the time of the test
µ10am = µ11am = µ12pm

c) The population defined by the nine treatment conditions are normally distributed.
The population defined by the nine treatment conditions have equal variances regardless of snack type or time of test.
The test score within each of the nine samples are independent.

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