Researchers ran a quality control study to evaluate the quality of plastic irrig

Tahmid Knox

Tahmid Knox

Answered question

2021-10-08

Researchers ran a quality control study to evaluate the quality of plastic irrigation pipes. The study design involved a total of 24 pipes, with 12 pipes randomly selected from each of two manufacturing plants. The pipes were manufactured using one of two water temperatures and one of three types of hardeners. The compressive strength of each pipe was determined for analysis. The experimental conditions are as follows: Identify each of the following components of the experimental design.
a. factors
b. factor levels
c. blocks
d. experimental unit
e. measurement unit
f. replications
g. treatments
Pipe NoPlantTemperature(F)Hardener11200H121175H232200H142175H251200H161175H272200H182175H291200H3101175H3112200H3122175H3131200H3141175H3152200H3162175H3171200H2181175H1192200H2202175H1211200H2221175H1232200H2242175H1

Answer & Explanation

firmablogF

firmablogF

Skilled2021-10-09Added 92 answers

Step 1
a) There are two factors:
1) Temperature
2) Hardener
Step 2
b) First factor, temperature is at the two levels: 200F and 175F
Second factor, hardener is at three levels: H1, H2, and H3
Step 3
c) Blocks are represented by type of plant used for manufacturing the pipes, i.e., plant 1 represents block 1, and plant 2 represents block 2
Step 4
d) Experimental units are pipes.
Step 5
Measurement units are pipes. Compressive stength of each pipe will be measured.
Note: Here both, experimental units and measurement units are same.
Step 6
f) There are two factors: temperature at two levels (200F, 175F) and hardener at three levels (H1, H2 and H3) so there are 23=6 treatments assigned to 24 pipes. There are four pipes for each treatment. It implies that each treatment is replicated four times.
Step 7
g) There are two factors: temperature at two levels (200F, 175F) and hardener at three levels (H1, H2, and H3) so there are 23=6 treatments given as:

(200F, H1)(200F, H2)(200F, H3)(175F, H1)(175F, H2)(175F, H3)

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