Question

Explain the major differences between analyzing a one-way ANOVA versus a two-factor ANOVA, and explain why factorial designs with two or more independent variables (or factors) can become very difficult to interpret.

Answer 1

Answer :

Difference between One way ANOVA and Two way ANOVA :-

• Autonomous Variable One Two
• Looks at least three dimensions of one factor. Impact of various dimension of two elements.
• Number of Observation Need not to be same in each gathering. Should be equivalent in each gathering.
• Structure of investigations Need to fulfill just two standards. Every one of the three standards should be fulfilled.

The differences between one way and two way ANOVA can be drawn clearly on the following grounds :-

• A theory test that empowers us to test the uniformity of at least three methods at the same time utilizing change is called One way ANOVA.
• A measurable procedure in which the interrelationship between elements, affecting variable can be contemplated for viable basic leadership, is called Two way ANOVA.
• There is just a single factor or autonomous variable in one way ANOVA though on account of two route ANOVA there are two free factors.
• One way ANOVA thinks about at least three dimensions (conditions) of one factor. Then again, two-way ANOVA thinks about the impact of different dimensions of two elements.
• In one way ANOVA, the quantity of perceptions need not be same in each gathering while it ought to be same on account of two-way ANOVA.
• One way ANOVA need to fulfill just two standards of structure of examinations, for example replication and randomization.
• Rather than Two way ANOVA, which meets each of the three standards of structure of trials which are replication, randomization, and nearby control.