Question

Make up a two-way ANOVA example. (Create your own example.) First write the question. Then analyze your question. Identify the research question, variable of interest, and factors. Then explain how data should be collected for this question (you may suggest some intuitive numbers for data collection). Finally what will be your hypotheses (3 of them) to test your research question?

Answer 1

Farmers are interested in whether four different types of seeds grow at the same pace. They are also interested in finding out whether the three fertilizers they own are equally effective. They plant three different types of seeds with each of the fertilizers. Two weeks later they measured and record the growth of the crop in millimetres as shown below:

Seed 1	Seed 2	Seed 3	Seed 4
Fertilizer 1	135	128	115	131
	129	137	147	132
	139	129	125	120
Fertilizer 2	100	105	154	100
	108	97	113	98
	101	100	129	115
Fertilizer 3	138	123	141	137
	102	134	145	156
	147	139	124	113

The research question is: Whether four different types of seeds grow at the same pace.

The variable of interest is the growth of the crop.

The factors are fertilizers and seeds.

The hypothesis being tested is:

H₀: There is no main effect of Fertilizer

H_a: There is a main effect of Fertilizer

The hypothesis being tested is:

H₀: There is no main effect of Seed

H_a: There is a main effect of Seed

The hypothesis being tested is:

H₀: There is no interaction effect

H_a: There is an interaction effect