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(Solved by Expert Tutors)ANOVA. For this and the next 4 questions: Four difference kinds of paving


ANOVA. For this and the next 4 questions: Four difference kinds of paving are being studied by the highway department for possible use on interstate highways within the state. Since location within the state can influence the results because of differences in weather and traffic patterns, a randomized block design is called for. Three sections of highway in different parts of the state are chosen for experimentation. Each section constitutes a block. Each block is then divided into 4 strips, and the paving types are randomly assigned to one strip within each block. The pattern of arrangement for this experiment may be represented as follows:

BLOCK A

BLOCK B

BLOCK C

type 1

type 2

type 3

type 4

type 3

type 1

type 2

type 1

type 2

type 3

type 4

type 4


When the experiment is conducted, the following observations - which take into account such things as roughness, cracking, and change in depth of paving - are obtained:

?

Paving Type

Block

1

2

3

4

A

42.70

39.30

48.50

32.80

B

50.00

38.00

49.70

40.20

C

51.90

46.30

53.50

51.10


Sample means for treatment (paving type): X-bar1?= 48.20; X-bar2 = 41.20; X-bar3 = 50.57; X-bar4 = 41.37
Sample means for blocks: X-barA?= 40.83; X-barB = 44.48; X-barC = 50.70.


The sum of squares for treatment (SSTR) is 205.28. Calculate the sum of squares for blocking (SSBL).

70.69

199.45

205.28

99.73

68.43

 


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