Question

Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of a national park. The deer counts per square kilometer were recorded and are shown in the following table.

Mountain Brush	Sagebrush Grassland	Pinon Juniper
34	20	3
26	56	12
18	17	9
31	22	7

(b) Find SS_TOT, SS_BET, and SS_W and check that SS_TOT = SS_BET + SS_W. (Use 3 decimal places.)

SSTOT	=
SSBET	=
SSW	=

Find d.f._BET, d.f._W, MS_BET, and MS_W. (Use 2 decimal places for MS_BET, and MS_W.)

dfBET	=
dfW	=
MSBET	=
MSW	=

Find the value of the sample F statistic. (Use 3 decimal places.)


What are the degrees of freedom?
(numerator)=
(denominator)=

(f) Make a summary table for your ANOVA test.

Source of Variation	Sum of Squares	Degrees of Freedom	MS	F Ratio	P Value	Test Decision
Between groups					---Select--- p-value > 0.100 0.050 < p-value < 0.100 0.025 < p-value < 0.050 0.010 < p-value < 0.025 0.001 < p-value < 0.010 p-value < 0.001	---Select--- Do not reject H0. Reject H0.
Within groups
Total

Answer 1

I have done the above data in spss using one way anova

Step 1 : Entered the values in the data view

Step 2 : Analyze - > compare means -> one way anova .

Output is as follows :

1 ) SSTOT = 2290.250

SSBET=1098.000

SSW=1192.250

HENCE,SSTOT=SSBET+SSW

2 ) df.BET = 2

dfW=9

MSBET=549

MSW=132.47

3)VALUE OF F STATISTIC = 4.144

SINCE F=MSBET/MSW

Numerator df =2

Denominator df = 9

Source of variation	Sum of squares	df	MS	F ratio	p value	Test decision
Between groups	1098.000	2	549.00	4.144	0.053 ,which is greater than 0.05 0.05<pvalue<0.1	Hence we accept H0,that is there is no statistically difference between the 3 groups.
Within groups	1192.250	9	132.47
Total	2290.250	11