Question

A t ratio compares two means and the ANOVA compares more than two means. Why is ANOVA used rather than a series of t tests?

1. It holds type I error at a constant level
2. It increases Type I error
3. It is too much work to do a series of t tests
4. Both methods provide the same information

Answer 1

Answer,

• Type 1 occurs happens when the genuine invalid htpothesis is rejected.Rejecting the genuine invalid theory prompts the acknowledgment of the option hypohesis. This at that point brings about an inappropriate deductions.

• For example, if the adequacy of a specific medication in mending the diorder is tried =, Then the invalid speculation would be the medication has no impact on the confusion.

• Dismissing this invalid speculation drives one to presume that the medication has its own effect on the turmoil.

• However, on the off chance that the invalid theory is valid ,That is ,When medication has no impact in redressing the disorder.then dismissing it will prompt the issue of type 1 mistake where the bogus case is made on the adequacy of the medication.

• Despite the fact that proportion thinks about two means,multiple of t test expands the sort 1 error.On the different hand,Analysis o difference analyzes multiple methods and significantly in light of the fact that it keeps the sort 1 mistake consistent in the analysis.Thus ,examination of fluctuation is peferred than the t test.

• Thus, option a is correct.