O0750 00901 120 OR32 1. The mean density is significantly different at higher temperatures as compared with T00 C. II. The mean density at 125 °C is significantly different with the mean density at 150 C. A. I only

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Pest Hoc Comparisons temperature
Comparison
temperature
temperature
Mean Difference
SE
df
Phkex
100
125
0.2750
0 0901
12.0
3.051
0.043
150
0.0250
0.0901
12.0
-0.277
0.992
175
0.0500
0.0901
12.0
0.555
0.943
125
150
0.3000
0.0901
12.0
-3.328
0.027
175
02250
00901
120
-2.496
0111
150
175
00750
0.0901
120
O832
0828
1. The mean density is significantly different at higher temperatures as compared with 10o °C.
II. The mean density at 125 °C is significantly different with the mean density at 150 °C.
A. I only
B. Il only
C. Both I and II
D. Neither I nor II
18. The experimenter also performed group comparison to compare specific groups of treatments.
Three linear contrasts which represent the comparisons to be made were tested. Results can be
found in the output below where L refers to the linear contrast. Which of the following is(are)
TRUE?
Note: Let T1-100, T2-125, T3-150 and T4-175
Contrasts temperature
Estimate
SE
L1: 125 - 100
-0.2750
0.0901
3.051
0.010
L2. 150 - 100, 125
0.1625
00781
2.082
0.059
L3 175
100, 125, 150
00333
00736
0.453
0.659
I. The coefficients 1, 1, 1, and 3, respectively, makes L3 a valid contrast.
II. The contrast L = Y, - Y4 is orthogonal with L3.
A. I only
B. Il only
C. Both I and II
D. Neither I nor I
19. Which of the following is(are) TRUE about the group comparison results above at 5% level of
significance?
1. The effects of 100 °C and 125 °C are significantly different from each other.
II. The effect of 175 °C is not significantly different from the combined effects of lower
temperatures.
A. I only
B. Il only
C. Both I and ||
D. Neither I nor II
STAT 162 – Experimental Designs
Page | 6
OF THE
Institute of Statistics
University of the Philippines Los Baños
Transcribed Image Text:Pest Hoc Comparisons temperature Comparison temperature temperature Mean Difference SE df Phkex 100 125 0.2750 0 0901 12.0 3.051 0.043 150 0.0250 0.0901 12.0 -0.277 0.992 175 0.0500 0.0901 12.0 0.555 0.943 125 150 0.3000 0.0901 12.0 -3.328 0.027 175 02250 00901 120 -2.496 0111 150 175 00750 0.0901 120 O832 0828 1. The mean density is significantly different at higher temperatures as compared with 10o °C. II. The mean density at 125 °C is significantly different with the mean density at 150 °C. A. I only B. Il only C. Both I and II D. Neither I nor II 18. The experimenter also performed group comparison to compare specific groups of treatments. Three linear contrasts which represent the comparisons to be made were tested. Results can be found in the output below where L refers to the linear contrast. Which of the following is(are) TRUE? Note: Let T1-100, T2-125, T3-150 and T4-175 Contrasts temperature Estimate SE L1: 125 - 100 -0.2750 0.0901 3.051 0.010 L2. 150 - 100, 125 0.1625 00781 2.082 0.059 L3 175 100, 125, 150 00333 00736 0.453 0.659 I. The coefficients 1, 1, 1, and 3, respectively, makes L3 a valid contrast. II. The contrast L = Y, - Y4 is orthogonal with L3. A. I only B. Il only C. Both I and II D. Neither I nor I 19. Which of the following is(are) TRUE about the group comparison results above at 5% level of significance? 1. The effects of 100 °C and 125 °C are significantly different from each other. II. The effect of 175 °C is not significantly different from the combined effects of lower temperatures. A. I only B. Il only C. Both I and || D. Neither I nor II STAT 162 – Experimental Designs Page | 6 OF THE Institute of Statistics University of the Philippines Los Baños
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