Question

Consider the partial ANOVA table shown below. Let a = .01

Source of Variation	DF	SS	MS	F
Between Treatments	3	180
Within Treatments (Error)
Total	19	380

If all the samples have five observations each:

		there are 10 possible pairs of sample means.
		the only appropriate comparison test is the Tukey-Kramer.
		all of the absolute differences will likely exceed their corresponding critical values.
		there is no need for a comparison test – the null hypothesis is not rejected.

2 points   

QUESTION 2

Consider the partial ANOVA table shown below. Let a = .01

Source of Variation	DF	SS	MS	F
Between Treatments	3	180
Within Treatments (Error)
Total	19	380

The mean square within treatments (MSE) is

		12.5
		200
		16
		60

2 points   

QUESTION 3

Consider the partial ANOVA table shown below:

Source of Variation	DF	SS	MS	F
Between Treatments		64		8
Within Treatments (Error)			2
Total		100

The number of degrees of freedom corresponding to within treatments is

		20
		18
		4
		5

2 points   

QUESTION 4

Consider the following ANOVA table.

Source of Variation	SS	df	MS	F
Treatment	49411.11	2	24705.56	10.4304
Error	35529.17	15	2368.611
Total	84940.28	17

            The appropriate null hypothesis is:

		mu1 = mu2
		mu1 = mu2 = mu3
		At least one mean is different.
		The populations are independent.

2 points   

QUESTION 5

The following information is from a 1-way ANOVA involving three treatments:

	Treatment 1	Treatment 2	Treatment 3
Sample Size	5	10	5
Sample Mean	4	8	9

            The overall mean for all the treatments is

		7.25
		4.89
		6.67
		7.00

Answer 1

source	df	SS	MS	F	Fcrit
between	3	180	60	4.8	5.29
within	16	200	12.5
total	19	380

1)

there is no need for a comparison test – the null hypothesis is not rejected.

2)

mean square within treatments (MSE) is =12.5

3)

source	df	SS	MS	F	Fcrit
between	4	64	16	8	4.58
within	18	36	2
total	22	100

number of degrees of freedom corresponding to within treatments is =18

4)

mu1 = mu2 = mu3

5)

overall mean for all the treatments is =(4*5+8*10+9*5)/(5+10+5)=7.25

answered by: anonymous