ANOVA

The following are assumptions for ANOVA except:

• Variance must be homogenous

• There should be 4 or more independent groups

• Data must be normally distributed

• Randomly selected

Tags

CCSS.HSS.IC.B.5

CCSS.HSS.ID.A.4

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

Determine whether the following scenario should use a one-way ANOVA test or two-way ANOVA test:

A researcher want to determine whether there is an interaction between physical activity level and gender on blood cholesterol concentration in children.

• one-way ANOVA test

• two-way ANOVA test

Tags

CCSS.HSS.IC.B.5

Determine whether the following scenario should use a one-way ANOVA test or two-way ANOVA test:

A group of psychiatric patients are trying three different therapies: counseling, medication and biofeedback. They want to see if one therapy is better than the others.

• one-way ANOVA test

• two-way ANOVA test

Tags

CCSS.HSS.IC.B.5

How many independent and dependent variables are there in a One-Way Within Groups ANOVA?

• 1 independent variable and 1 dependent variable

• 2 independent variables and 1 dependent variable

• 1 independent variable and 3 dependent variables

• 1 independent variable and 2 dependent variable

Tags

CCSS.HSS.IC.B.5

ANOVA stands for ...

• Analysis of Variation

• Analysis of Variance

• Analysis of Variability

• A Non-Visual Analysis

Tags

CCSS.HSS.IC.B.5

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