Question

A total of 30 tomato plants were grown in a greenhouse under various conditions consisting of combinations of soil type (I, II, III, IV, and V), and fertilizer type (A,B,C). There were an equal number of plants grown under each combination. After a fixed period of time, the yield (in kilograms) of tomatoes from each plant was measured.

-What type of experimental data is this?

-What is the number of treatments?

-What is the number of replications?

-What is the experimental unit?

-What is the measurement unit?

-What is the total number of measurements?

Answer 1

Type of experiments - Two way ANOVA with replications

Note : As there are two factors soil and fertilizer its two way ANOVA

Number of treatments = 5*3 = 15

Note : There are two factors : Soil and fertilizer. Further soil is split into 5 levels and fertilizer is split into 3 levels . Thus there are 5*3 =15 treatments .

Number of replications - 2

Note: As there are 15 treatment combinations and 30 observations , therefore each combination is repeated twice

	Soil 1	Soil 2	Soil 3	Soil r4	Soil 5
Fertilizer A	two observation per cell
Fertilizer B
Fertilizer C

Experimental unit -  tomato plants

Measurement unit - yields in kilograms of tomatoes from each plant

Total number of measurements - 30