Question

When using the test for homogeneity of variance, basically four outcomes or options can be considered if a violation of the homogeneity of variance assumption is violated. These include:

Option 1: Since a violation of the homogeneity of variance assumption occurred, the independent t-test may not be the appropriate statistical procedure for analysis of data. Therefore, we may opt for a lower order non-parametric statistical test.

Option 2: Since a violation of the homogeneity of variance assumption occurred, the independent t-test may not be the appropriate statistical procedure for analysis of data. Therefore, we will abandon the test all together.

Option 3: Even though we violated the homogeneity of variance assumption, we will continue to use the parametric measure due to the robust nature of the tests.

Option 4: Resample with a larger sample size and retest.

Provide MULTIPLE pros and cons of each of the four options and which one you think is the most valid.

Please answer ALL the questions (as there are multiple) embedded in the above task.

Answer 1

Option 1:

Since a violation of the homogeneity of variance assumption occurred, the independent t-test may not be the appropriate statistical procedure for analysis of data. Therefore, we may opt for a lower order non-parametric statistical test.

PROS: It will help to test the hypothesis and will give the conclusion.

CONS: Lengthy and sometimes do not give desired results.

Option 2:

Since a violation of the homogeneity of variance assumption occurred, the independent t-test may not be the appropriate statistical procedure for analysis of data. Therefore, we will abandon the test all together.

PROS: we can restart the test .

CONS: It may deviate the researcher from the main topic. We might loss the data.

Option 3:

Even though we violated the homogeneity of variance assumption, we will continue to use the parametric measure due to the robust nature of the tests.

PROS: Yes we will get the approximate result.

CONS: We can not be sure about it. Chances of TYPE 1 and TYPE 2 error is high.

Option 4:

Resample with a larger sample size and retest.

PROS: We will get the result with more accuracy.

Cons: Time taking and costly.

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