Chapter 13- Intro To Analysis Of Variance

Question 0

Define

Factor

Answer 0

The variable (independent or quasi-independent) that designates the groups being compared

Question 1

Define:

ANOVA

Answer 1

Analysis of Variance(ANOVA) is a hypothesis procedure that is used to evaluate mean difference between two or more treatments ( or populations)

Question 2

Define:

Levels

Answer 2

The individual conditions or values that make up a factor

Question 3

Define:

Factorial Design

Answer 3

A study that combines two or more factors

Question 4

What is the difference between a one way ANOVA and a repeated factorial design?

Answer 4

One way ANOVA has one independent variable or factor. Whereas a repeated factorial design is anytime you take measures over time

Question 5

Define the Null hypothesis in words.

Answer 5

The level or value in the factor does not affect the dependent variable; in the population the means of the group do not differ

Question 6

State the Null Hypothesis.

Answer 6

H0= μ1=μ2=μ3

Question 7

Give an example of a notation for a factorial ANOVA.

Answer 7

2•3 factorial ANOVA

Question 8

Define Alternative Hypothesis in words.

Answer 8

At least one population mean is different from another

Question 9

State both ways you can write the Alternative Hypothesis.

Answer 9

H1: μ1≠μ2≠μ3
H1: μ1=μ3 but μ2 is different

Question 10

What are the steps required to calculate this?

Answer 10

1. Calculate the SS and find the big ΣX2, ΣX, N
2. Calculate the SStotal
3. Calculate the SSwithin
4. Calculate the SSbetween
5. Calculate the Df total
6. Calculate the Df within
7. Calculate the Df between
8. Calculate the MS between
9. Calculate the MS within
10. Calculate the F
11. Look it up