Ch. 25 - 2+ means

Question 1

ANOVA Assumptions (multiple μi’s)

Answer 1

1. Independent Random Samples
2. Equal Population Variances
3. Normal Population Distribution
4. Independent Observations

Question 2

Equal Population Variances Assumption

Answer 2

Residuals v. Fitted Values - The spread of the residuals does not increase as fitted values increase (no fanning)

Question 3

Normal Population Distribution Assumption

Answer 3

Normal Probability Plot of Residuals graph - the residuals do not stray away from the straight line pattern

Question 4

Comparing 2+ μi’s:
OBS STUDY
H0: μ1= μ2 = μk

Answer 4

The factor is not associated with the RV/The means do not differ significantly

Question 5

OBS STUDY
HA: At least 2 μi’s differ, i=1,2,3

Answer 5

The factor is associated with the RV/At least 2 means differ significantly

Question 6

EXP STUDY
H0: μ1= μ2 = μk

Answer 6

The factor does not have an effect on the RV

Question 7

EXP STUDY
HA: At least 2 μi’s differ, i=1,2,3

Answer 7

The factor does have an effect on the RV (not all means are equal)

Question 8

ȳ

Answer 8

sample mean

Question 9

ybarbar

Answer 9

overall sample mean

Question 10

sample standard deviation

Answer 10

s

Question 11

Total # of observations from all samples

Answer 11

N

Question 12

Observational Study H0 rejected conclusion

Answer 12

At the 0.05 level, we can conclude that the means are significantly different

Question 13

Experimental Study H0 rejected conclusion

Answer 13

At the 0.05 level, we can conclude that the means of the RV differ significantly for each treatment

Question 14

If ANOVA Assumptions are violated

Answer 14

ANOVA results may not be valid

Question 15

Turkey-HSD confidence level

Answer 15

simultaneous confidence level (1 - alpha)

Question 16

Connecting Letters Report

Answer 16

means that do not share a letter are significantly different from each other

Question 17

Interpret:
A - Cayucos
AB - Cambria
AB - Pismo Beach
B - Morro Bay

95% simultaneous confidence level

Answer 17

At the 95% simultaneous confidence level, we can conclude that the mean property prices for Cayucos and Morro Bay are significantly different. No other locations have significantly different mean property prices

Question 18

Each individual CI is

Answer 18

constructed at an individual level higher than the simultaneous confidence level

Question 19

INTERPRET:
CI for μi - μj = (224,1852) *thousands
~99% confidence

Answer 19

We are about 99% confident that the mean price of properties in μi is between $224,000 and $1,852,000 more than the mean price of properties in μj