Stats 50 Ch. 12.2

Front 1

ANOVA stands for:

Back 1

analysis of variance

Front 2

What are the three properties of the F distribution?

Back 2

1) The F distr. is not symmetric.
2) F distr. values cannot be negative.
3) The exact shape of the F distr. depends on the two different degrees of freedom.

Front 3

ANOVA is a method of testing:

Back 3

the equality of three or more pop. means.

Front 4

ANOVA is a method of testing the equality of three or more pop. means by analyzing:

Back 4

sample variances.

Front 5

ANOVA is used with data categorized with:

Back 5

ONE treatment, which is a characteristic that allows us to distinguish the different populations from one another.

Front 6

WHat is the objective of ANOVA?

Back 6

To test a claim that three or more populations have the same mean.

Front 7

What are the requirements of ANOVA?

Back 7

1) The populations have distr. that are approx. normal.
2) The populations have the same variance (σ²) or standard deviation (σ).
3) The sample are simple random samples of quantitative data.
4) The samples are independent of each other, (not matched pairs).
5) The different samples are from populations that are categorized in only one way.

Front 8

ANOVA is used to test the hypotheses that:

Back 8

three or more pop. means are equal.

Front 9

What is the H₀ and Hₐ for ANOVA?

Back 9

H₀: µ₁ = µ₂ = µ₃...
Hₐ: At least one is different.

Front 10

What is the TI-84 procedure for calculating ANOVA?

Back 10

stat, test, ANOVA (L₁, L₂, L₃)

Front 11

ANOVA uses which distribution?

Back 11

F distribution (Table A - 5 in textbook).

Front 12

What are the degrees of freedom when testing ANOVA?

Back 12

numerator df = (k − 1)
denominator df = (N − k)

Front 13

What is the procedure for testing ANOVA?

Back 13

1) Verify the requirements are met.
2) Determine H₀ and Hₐ.
3) Plug values into L₁, L₂, and L₃.
4) Determine df for numerator and denominator.
5) Find Fcr.
6) Find Ftest.
7) Find P-v.
8) make statement.