Question

Two Way ANOVA. A forester is trapping spruce moths. The traps are set at four different heights: on the ground, and then at heights that are low, medium, and high. In addition, traps are set with three different baits:   sap, sugar water, and a chemical scent. The number of moths caught in traps is recorded. A two way ANOVA is performed.

ANOVA
Source of Variation	SS	df	MS	F	P-value
Sample	1981.383	3	660.461	10.450	2.09E-05
Columns	113.0333	2	56.517	0.894	0.416
Interaction	114.9667	6	19.161	0.303	0.932
Within	3033.6	48	63.2
Total	5242.983	59

How many total treatments are there?

Give the result of the first phase of a Two Way ANOVA: there is an interaction between height of the trap and the bait used in the trap:
. What is the result of this test (reject, fail to reject Ho)

Based on the result of the test, should post hoc testing be done (yes/no)

Question 14 (12 points)

Question 14 options:

Continuing two way ANOVA:     Suppose post hoc testing is not done. Two claims should be tested:  
i) The number of moths trapped is the same for all heights.  
The p value for this claim is (give in decimal form)  

The result of this test is (reject/fail to reject)  

Should post hoc testing be done for the height of traps? (yes/no)   

The number of moths trapped is the same for all baits.  
The p value for this claim is

The result of this test is (reject/fail to reject)  

Should post hoc testing be done for the height of traps? (yes/no)   

Should post hoc testing be done for the height of traps? (yes/no)   

The number of moths trapped is the same for all baits.  
The p value for this claim is

The result of this test is (reject/fail to reject)  

Should post hoc testing be done for the height of traps? (yes/no)   

Answer 1

answer is in bold font of the corresponding questions

(1)How many total treatments are there?

There are total 4*3=12 treatments

(2)Give the result of the first phase of a Two Way ANOVA: there is an interaction between height of the trap and the bait used in the trap:
. What is the result of this test (reject, fail to reject Ho)

There is no interaction, fail to reject H0: There is no interaction
(3) Based on the result of the test, should post hoc testing be done (yes/no)

since we fail to reject H0, no need of post hoc testing

(4)

i) The number of moths trapped is the same for all heights.  
The p value for this claim is (give in decimal form)  

p-value=2.09E-05
The result of this test is (reject/fail to reject)  

reject null hypothesis
Should post hoc testing be done for the height of traps? (yes/no)   

yes, as we reject null hypothesis

The number of moths trapped is the same for all baits.  
The p value for this claim is

p-value=0.416
The result of this test is (reject/fail to reject)  

fail to reject