Stats 11.6 ANOVA

ANOVA stands for ...

• Analysis of Variation

• Analysis of Variance

• Analysis of Variability

• A Non-Visual Analysis

Tags

CCSS.HSS.IC.B.5

ANOVA testing is used for ...

• Test for one mean

• Test for two means

• Test for three or more means

• Test for independence between two variables

Tags

CCSS.HSS.IC.B.5

A large sample F-ratio (F test statistic) is likely to lead us to ____ in an ANOVA test.

• reject Ho

• not reject Ho

• reject Ha

• not reject Ha

Identify the appropriate statistical test to see if there is a difference in the mean salaries.

• t-test for one mean

• t-test for two means

• chi-square test of independence of two variables

• F-test for an ANOVA

Formulate the alternative hypothesis.

• 
  

  $\mu_1\ \&\ \mu_2$ are not the same
  

• $\mu_2\ \&\ \mu_3$ are not the same

• $\mu_1\ \ne\ \mu_2\ \ne\ \mu_3$

• At least one mean is different

Tags

CCSS.HSS.IC.B.5

Compute the F-ratio (test statistic) when MSB = 391.2 and MSW = 174.1714

• 391.2

• 3.4668

• 2.246

• 0.1306

Compute the F critical value for  $\alpha$  =1%, N = 24 and k = 3

• 2.246

• 4.718
  

• 5.781
  

• 2.575

Tags

CCSS.HSS.IC.B.5

The correct decision is ...

• reject Ho

• fail to reject Ho

• reject H1

• fail to reject H1

Tags

CCSS.HSS.IC.B.5

The correct conclusion is ...

• There are significant differences in mean salaries among the 3 majors.

• There are no significant differences in mean salaries among the 3 majors.

• We need to do a chi-square test to find the differences.

• We need to do a Bonferroni test to find the differences.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.5

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

The dfB = 4 and dfW = 20. What would be the total N for an ANOVA?

• 19

• 20

• 24

• 25

Tags

CCSS.HSS.IC.B.5