Question

QUESTION 2 Group A has three scores, 32, 18, 28. Group B has three scores, 12, 40, 39. Group C has three scores, 37, 35, 45. Calculate the F-value. Round to one digit.

QUESTION 4 Group A has three scores, 11, 26, 22. Group B has three scores, 16, 28, 33. Group C has three scores, 21, 36, 25. Calculate the grand mean (round to two digits).

QUESTION 5 Group A has three scores, 11, 47, 27. Group B has three scores, 28, 50, 43. Group C has three scores, 29, 33, 40. Calculate MS effect (Mean squared error for the Effect). Round to one digit.

QUESTION 6 Group A has three scores, 20, 12, 18. Group B has three scores, 23, 36, 12. Group C has three scores, 44, 41, 19. Calculate MS error (Mean squared error for the error term). Round to one digit.

QUESTION 7 The df for an effect is 6, the df for an error term is 35, the F-value is 3, and the MSE for the error term is 65. What is the SS effect? (round to two digits)

QUESTION 9 Group A has three scores, 41, 25, 17. Group B has three scores, 36, 12, 42. Group C has three scores, 35, 43, 27. Calculate SS effect. Round to one digit.

QUESTION 10 Group A has three scores, 10, 25, 37. Group B has three scores, 11, 35, 43. Group C has three scores, 20, 16, 29. Calculate SS error. Round to one digit.

Answer 1

2)

	A	B	C
count, ni =	3	3	3
mean , x̅ i =	26.00	30.33	39.00
std. dev., si =	7.21	15.89	5.29
sample variances, si^2 =	52.000	252.333	28.000
total sum	78	91	117		286	(grand sum)
grand mean , x̅̅ =	Σni*x̅i/Σni =				31.78
square of deviation of sample mean from grand mean,( x̅ - x̅̅)²	33.38271605	2.09	52.16049383
					TOTAL
SS(between)= SSB = Σn( x̅ - x̅̅)² =	100.1481481	6.26	156.4814815		262.8889
SS(within ) = SSW = Σ(n-1)s² =	104	504.67	56		664.6667

no. of treatment , k =   3
df between = k-1 =    2
N = Σn =   9
df within = N-k =   6
  
mean square between groups , MSB = SSB/k-1 =    131.444
  
mean square within groups , MSW = SSW/N-k =    110.778
  
F-stat = MSB/MSW =    1.2(answer)

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4)

grans sum =saum of all values=218

N=Σn=3+3+3 = 9

grand mean=total sum /N = 218/9 =24.22