Question 3 A study compares three levels of Factor A and fou

Question 3

A study compares three levels of Factor A and four levels of Factor B, with three observations in each group. An F statistic of 5.113 is reported for the main effect of Factor A. What can we say about the P-value for this F test?

P = ____________

Question 4

Which of the following statements about a two-way analysis of variance model is (are) TRUE? Select one or more:

The population of interest is classified according to two categorical variables, or factors.

An experiment involving the simultaneous use of two factors offers advantages over two one-way experiments with respect to such matters as efficiency and reduction of residual variation.

The two-way type of experiment requires twice as many experimental observations as would be required in two one-way experiments of the same factors.

An experiment involving the simultaneous study of two factors allows for the investigation of interactions between the factors.

Question 5

A study of cardiovascular risk factors compared heavy smokers, light smokers, and nonsmokers. Both men and women were included in the study and gender differences were also to be investigated. One of the variables measured was the heart rate after six minutes of exercise.

The two factors being studied in this experiment are

Select one:

heart rate and smoking level.

gender and smoking level.

men and women.

Question 6

I plan an experiment to test the latest conflicting diet programs. The factor for Diet will involve three different levels: low fat, low carbohydrate, and low calorie. The other factor will involve planned exercise. One level will be coached aerobics and the other will be normal activity. We will have 25 subjects assigned to each treatment combination. We hope to find out which regime is best at reducing weight.

The degrees of freedom for error are _________.

Question 7

A study of cardiovascular risk factors compared heavy smokers, light smokers, and nonsmokers. Both men and women were included in the study so that the two factors are smoking level and gender. There were 25 subjects included in each of the combinations of gender and smoking status. One of the variables measured was the heart rate after six minutes of exercise. A two-way ANOVA is performed with the resulting ANOVA table given below.

Analysis of variance for heart rate

Source

Smoking

41.16

0.000

Gender

0.88

0.349

Smoking*gender

0.46

0.635

Error

Total

We can conclude from the ANOVA table that

Select one:

the effect of smoking on heart rate does not appear to be different for men and women.

there is strong evidence that heart rate increases with the amount smoked.

the effect of smoking on heart rate appears to be different for men and women.

the level of smoking does not appear to have an effect on heart rate.

Question 8

Consider the following graphic from a two-way ANOVA.

The graph shows which of the following? Select zero, one, two, or three.

A possible main effect for Factor A.

A possible main effect for Factor B.

A possible interaction between Factor A and Factor B.

Question 9

A scientist examined the effect of temperature and catalyst on the yield of a reaction. He ran the experiment at both 150° and 200°C with two types of catalyst. A partial ANOVA table is below.

The sum of squares for the model is _______.

Question 10

A completely randomized double-blind clinical trial was conducted to compare two drugs, ticrynafen (T) and hydrochlorothiazide (H), for effectiveness in treatment of high blood pressure. Each drug was given at either a low or a high dosage level for six weeks. The accompanying table shows the results for the drop in systolic blood pressure (mm Hg).

Dosage

Low

High

Mean

Drug

15.8

17.5

16.65

13.9

17.1

15.5

Mean

14.85

17.3

16.075

Does there appear to be an interaction between the two factors? Justify your answer using the numbers.

Source	DF	SS	MS	F	P
Smoking				41.16	0.000
Gender				0.88	0.349
Smoking*gender				0.46	0.635
Error
Total