A university department is reviewing the delivery methods it uses to teach and assess. It decides to undertake a series of controlled tests to assess the suitability of a particular method of delivery before implementing the new method. To test the hypothesis that the proposed method improves performance, the department randomly placed four students into three different groups, in which each student will experience one method of delivery only, and all sessions are taught by the same lecturer to reduce lecturer bias. The marks of the students are shown in the following table: STUDENT LECTURE IWORKSHOR WORKSHOR AND

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A university department is reviewing the delivery methods it uses to teach and assess. It decides
to undertake a series of controlled tests to assess the suitability of a particular method of delivery
before implementing the new method. To test the hypothesis that the proposed method
improves performance, the department randomly placed four students into three different
groups, in which each student will experience one method of delivery only, and all sessions are
taught by the same lecturer to reduce lecturer bias. The marks of the students are shown in the
following table:
STUDENT LECTURE + WORKSHOP
SEMINAR
WORKSHOP AND
VIRTUAL LEARNING
ENVIROMENT
24
21
1
16
19
20
21
21
3
4
18
22
13
20
25
The following ANOVA table (partial) was constructed for the data:
Source of Variation
Treatments
Error
Total
df
MS
F
36
7.0435
The three treatment means were ranked using Tukey's procedure with a = 0.05.
17
20
23
Calculate the value of Tukey's honestly significant difference (HSD) and then explain
and interpret the given result in "plain English", using no more than 2 sentences.
Transcribed Image Text:A university department is reviewing the delivery methods it uses to teach and assess. It decides to undertake a series of controlled tests to assess the suitability of a particular method of delivery before implementing the new method. To test the hypothesis that the proposed method improves performance, the department randomly placed four students into three different groups, in which each student will experience one method of delivery only, and all sessions are taught by the same lecturer to reduce lecturer bias. The marks of the students are shown in the following table: STUDENT LECTURE + WORKSHOP SEMINAR WORKSHOP AND VIRTUAL LEARNING ENVIROMENT 24 21 1 16 19 20 21 21 3 4 18 22 13 20 25 The following ANOVA table (partial) was constructed for the data: Source of Variation Treatments Error Total df MS F 36 7.0435 The three treatment means were ranked using Tukey's procedure with a = 0.05. 17 20 23 Calculate the value of Tukey's honestly significant difference (HSD) and then explain and interpret the given result in "plain English", using no more than 2 sentences.
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