When only two treatments are involved, ANOVA and the Student’s t test (Chapter 1

Question

When only two treatments are involved, ANOVA and the Student’s t test (Chapter 11) result in the same conclusions. Also, for computed test statistics, t2 = F. To demonstrate this relationship, use the following example. Fourteen randomly selected students enrolled in a history course were divided into two groups, one consisting of 6 students who took the course in the normal lecture format. The other group of 8 students took the course as a distance course format. At the end of the course, each group was examined with a 50-item test. The following is a list of the number correct for each of the two groups.

Complete the Anova Table

a-2. Use a a-.05 level of significance- the critical value of F:

B. Using the t-test, compute t:

Traditional Lecture Distance 38 46 38 32 43 43 32 41 30 46 39 32 46 42

Explanation / Answer

a) F_critical = 4.747225

b) t = -1.470390053 {see colum   

observe that (-1.470390053)^2 = 2.162047 = F

Please rate my solution

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Traditional Lecture 6 220 36.66667 23.06667 Distance 8 328 41 34.57143 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 64.38095238 1 64.38095 2.162047 0.167184 4.747225 Within Groups 357.3333333 12 29.77778 Total 421.7142857 13

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