Relief Effect Among the Three

¶ … relief effect among the three pain relief medicines.

H1: There is a difference in the relief effect among the three pain relief medicines.

Drug A

Drug B

Drug C

G= 138

Dftot= 27-1= 26

Dfbet= 3-1= 2

Dfwithin= 27-3= 24

Df= 2, 24

SStot= 762-[(138)2/27]= 762-705= 57

SSwithin= 6 + 18 + 5= 29

SSbet= (33)2/9 + (52)2/9 + (53)2/9 + (138)2/27= 121+300+312-705= 28

MSbet= SSbet/dfbet= 28/2= 14

MSwithin= SSwithin/dfwithin= 29/24= 1.21

F (2, 24)= MSbet/MSwithin= 14/1.21= 11.57

At p< .05, F (2, 24) > 3.4. Reject Ho. There is a difference in the relief effect among the three pain relief medicines.

Only 5% of the values of the distribution of scores are larger than F= 3.4, a value that illustrates how there is indeed a significant difference among the three medicines. However, this difference may have been due to the similarities or small disparities in the scores obtained by drugs B. And C. And the large difference between the scores of B. And C. with that of A.

PROBLEM 2

A.

Ho: Places of focus have no effect on the figure skater's Salchow jump.

H1: At least one place of focus have an effect on the figure skater's Salchow jump.

B.

Dfbet= 5-1= 4 (five places of focus)

Dfwithin= 30-5= 25 (30 jumps made, 6 jumps per place of focus (6 x 5))

Dftot= (4, 25)

*The degrees of freedom is F (4, 25)

C.

Assuming that conditions are satisfied, p-value would be at 0.01, wherein the obtained value F= 4.25 is closer to the F-value at p < .01, which is 4.18. From this finding, it can be said that only 1% of the values are larger than 4.18. Thus, Ho is rejected, and at least one place of focus has an effect on the figure skater's execution of the Salchow jump.

D.

Though at least one of the places of focus had an effect on the figure skater's Salchow jump, this place of focus is not substantial enough to make a significant effect or difference to the skater's execution of the Salchow jump. It is thus suggested that a post-hoc test be conducted in order to determine what place of focus had an effect on the execution of the Salchow jump and the significance value of this effect.

PROBLEM 3

Ho: There is no significant relationship between temperature and cycle of washing.

H1: There is a significant relationship between temperature and cycle of washing.

Cold-cold

Cold-warm

Warm-hot

Hot-hot

T

14.8

18.4

26.7

28.8

SS

1.26

0.90

3.97

5.32

N= 16

G= 88.7

(X2= 536.43

SS1= 56.02-[(14.8)2/4] = 56.02-54.76 =1.26

SS2= 85.54-[(18.4)2/4]= 85.54-84.64 = 0.90

SS3= 182.19-[(26.7)2/4]= 182.19-178.22 = 3.97

SS4= 212.68-[(28.8)2/4]= 212.68-207.36 = 5.32

Dftot= 16-1= 15

Dfbet= 4-1= 3

Dfwithin= 16-4= 12

Df= 3, 12

SStot= 536.43-[(88.7)2/16]= 536.43-491.73 = 44.7

SSwithin= 1.26 + 0.90 + 3.97 + 5.32= 11.45

SSbet= (14.8)2/4 + (18.4)2/4 + (26.7)2/4 + (28.8)2/4 + (88.7)2/16=

= 54.76 + 84.64 + 178.22 + 207.36 -- 491.73= 33.25

MSbet= SSbet/dfbet= 33.25/3= 11.08

MSwithin= SSwithin/dfwithin= 11.45/12= 0.95

F (3, 12)= MSbet/MSwithin= 11.08/0.95= 11.66

* Since F (3, 12) > 3.49 (F-value at p < .05), reject Ho. There is a significant relationship between temperature and cycle of washing.