Question

Question 13 options:

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)   

Question 15 (6 points)

Answer 1

There are four treatments, namely ground level, low, medium and high

Interaction result

failed to reject, there is no interaction because the p value is large enough to fail to reject the null hypothesis as the p value is greater than significance level of 0.05

No, post hoc is not required as p value is insignificant

Answer 14

(i) number of moths trapped is the same for all heights

p value is 2.09E-05

reject null hypothesis because p value is less than 0.05 significance level

yes, post hoc is required as the p value is less than 0.05 level

(ii) number of moths trapped is the same for all baits.  

p value is 0.416

Failed to reject the null hypothesis because p value is greater than 0.05 significance level

No. post hoc is not required as the p value is insignificant