Question

True or False Questions:

1. In one-factor ANOVA, the total sum of squares can be separated into the sum of squares of treatments and sum of square of error. T/F?

2. The mean sum of square of factor over the mean sum of square of error follows F-distribution. T/F?

3. If the mean sum of square of factor over the mean sum of square of error is 1, we should reject null hypothesis. T/F?

4. ANOVA can't be used when only comparing the population mean of two groups. T/F?

Multiple Choice Question:

5. If the true mean of k populations are equal, the F-statistic should be...

a. close to 1

b. Close to 0

c. Close to -1

d. Not enough information

Answer 1

1) True

Because we want to quantify variation in the data so the total sum of square can be separated into the sum of squares of treatments and sum of square of error.

2) True

Beacuase we need to use the proper variances in the ratio.

3) False

If you compute the F-score and is 1 and then you accept your hypothesis that the samples come from population with the same variance

4) False

Beause of One factor Anova used to compare the two group of population variance.

5) close to 1

Because the F statistics is the ratio of two sample variance when the two sample variance are equal the F score is close to 1.