Question

Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations.

Site I	Site II	Site III	Site IV
10	12	32	19
21	5	16	17
8	35	15	19
15	3	42	31
16	29		12
	16		18

(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 3 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)

(c) Find the P-value of the sample test statistic.

P-value > 0.1000.050 < P-value < 0.100    0.025 < P-value < 0.0500.010 < P-value < 0.0250.001 < P-value < 0.010P-value < 0.001

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

Source of Variation	Sum of Squares	Degrees of Freedom	MS	F Ratio	P Value
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
Within groups
Total

Answer 1

b)

SSTOT	2014.952
SSBET	365.536
SSW	1649.417
dfBET	3
dfW	17
MSBET	121.845
MSW	97.025
value of test statistic for factor A =				1.256
df(numerator) =		3
df(Denominator) =		17

c)

P-value > 0.10

Source of Variation	SS	df	MS	F	P-value	deciison
Between Groups	365.536	3	121.845	1.256	>0.1	fail to reject Ho
Within Groups	1649.417	17	97.025
Total	2014.952	20