Three randomly chosen pieces of four types of PVC pipe of equal wall thickness are tested to determine the burst strength (in pounds per square inch)under three temperature conditions,yielding the results shown below. Which test would be appropriate?
A) One-factor ANOVA
B) Two-factor ANOVA with replication
C) Dependent (paired-samples)t-test
D) Two-factor ANOVA with no replication

Question

Three randomly chosen pieces of four types of PVC pipe of equal wall thickness are tested to determine the burst strength (in pounds per square inch)under three temperature conditions,yielding the results shown below.  Which test would be appropriate?
A) One-factor ANOVA 
B) Two-factor ANOVA with replication 
C) Dependent (paired-samples)t-test 
D) Two-factor ANOVA with no replication

Quizplus · Accepted Answer

The experiment involves testing the burst strength of four types of PVC pipe under three temperature conditions. Therefore, there are two factors: type of PVC pipe and temperature condition. Since the same pipes are tested under each temperature condition, there is replication. Therefore, a two-factor ANOVA with replication is the appropriate test.

Three Randomly Chosen Pieces of Four Types of PVC Pipe