OBSERVED
TEST OF INDEPENDENCE
Occupation
E
I
Clergy (all denominations)
64
43
M.D.
63
99
Lawyer
52
85
Column Total
179
227
EXPECTED
E I
Clergy (all denominations)
47.175 59.825
M.D.
71.424 90.576
Lawyer
60.401 76.599
Chi
E I
Clergy (all denominations)
6.001 4.732
M.D.
0.993 0.783
Lawyer
1.169 0.921
Chisq=
14.600
rows
3
columns
2
df
2
pvalue
0.00068
CHISQ
GOODNESS OF FIT
TOH
PERCENT OF US HOUSEHOLDS
observed
Married w/children
26%
97
married no children
29%
114
signle parent
9%
32
one person
25%
100
other
11%
68
411
Type Of browse
Plant Compostion
Oberverd Number
sage brush
32%
99
rabbit brush
38.70%
125
salt brush
12%
39
service berry
9.30%
31
other
8%
26
320
Subject Area
percent of Books
Number of books (OBSERVED)
Business
32%
250
Humanities
25%
215
Natural Science
20%
221
Social Science
15%
122
All other Subject
8%
80
888
Ethnic Origin
Census Percent
Sample Result
Black
10%
120
Asian
3%
34
Anglo
38%
469
Latino/Latina
41%
520
Native American
6% 65
All others
2% 7
1215
0.010< 0.013<0.025
o2=42.3
n=21 s2=46.7
x2=(n-1)s2/o2
22.08
df=20
pvalue
0.336
0.05 greater than
Upper
34.17
Lower
9.59
Lower: (n-1)s2/X2U
27.33
Upper: (n-1)s2/X2L
97.39
o2=
(29.09,92.32)
o=
5.23
9.87
o2=47.1
n=17 s2=86.1
x2=(n-1)s2/o2 29.25
df=19
pvalue
0.022
0.05 less than
Upper
28.85
Lower
6.91
Lower: (n-1)s2/X2U
47.76
Upper: (n-1)s2/X2L
199.43
o2=
(29.09,92.32)
o=
6.91
14.12
o2=9
n=19 s2=1.7^2
x2=(n-1)s2/o2
5.78
df=10
pvalue
0.9970
Upper
28.87
Lower
9.39
Lower: (n-1)s2/X2U
1.80
Upper: (n-1)s2/X2L
5.54
o2=
20.48,3.25
o=
1.34
2.35
F-dISTRIBUTION
S2=0.309 S2=0.082
F=
3.77
DFN=16-1=15
DFD=16-1=15
PVALUE
0.007
F-dISTRIBUTION
S2=348.330 S2=135.691
F=
2.57
DFN=21-1=20
DFD=21-1=20
PVALUE
0.0203
F-dISTRIBUTION
S1=4.5 S2=12.1
F=
2.69
DFN=21-1=20
DFD=17-1=16
PVALUE
0.0246 A=0.05
F-dISTRIBUTION
S1=58.7 S2=38.8
F=
1.51
DFN=41-1=40
DFD=25-1=24
PVALUE
0.143 A=0.05
Row Total
107
162
137
406
expected
(o-e)^2/e
106.86
0.910
119.19
0.226
36.99
0.673
102.75
0.074
45.21
11.488
chisq
13.371
df=
4
pvalue
0.010
reject less than .01
expected
102.4
0.113
123.84
0.011
38.4
0.009
29.76
0.052
25.6
0.006
chisq
0.191
df
4
pvalus
0.996
greater tha .05 fail
EXPECTED
284.16
4.107
222
0.221
177.6
10.606
133.2
0.942
71.04
1.130
Chisq
17.005
df=
4
pvalue
0.002
less than .05 reject
Expected
121.5
0.018518519
36.45
0.164677641
461.7
0.115421269
498.15
0.958391047
72.9 0.856104252
24.3 12.31646091
chisq 14.430
df= 5
pvalue
0.013
2.89
9
Number of People Making Contribution
OBSERVED
Ethnic Group
$1-50
$51-100
$101-150
$151-200
Over $200
A
82
64
53
32
20
B
93
52
72
27
20
C
85
63
49
40
29
D
108
81
72
52
27
Column Total
368
260
246
151
96
EXPECTED
$1-50
$51-100
$101-150
$151-200
Over $200
A
82.398
58.2159
55.08118
33.80999
21.495094
B
86.665
61.231
57.93399
35.56111
22.608385
C
87.322
61.6949
58.37288
35.83051
22.779661
D
111.61
78.8582
74.61195
45.79839
29.11686
CHI
$1-50
$51-100
$101-150
$151-200
Over $200
A
0.001921 0.57468959 0.078634845 0.096896438 0.103991409
B
0.463001 1.39164977 3.415140504 2.061030899 0.300935875
C
0.061747 0.02760756 1.504995177 0.48519154 1.698559826
D
0.117059 0.05817367 0.091437114 0.839765541 0.153900388
CHISQ=
13.52633
ROWS
4
COLUMNS
5
DF=
12
PVALUE
0.331972
Under 20
Raw Material
Regional Percent of Stone Tools
Observed
EXPECTED
26
Basalt
61.3%
943
910.918 1.129909305 19%
Obsidian
10.6%
153
157.516 0.129474187 expected
Welded Tuff
11.4%
165
169.404 0.114490897 39.9
Pedernal chert
13.1%
181
194.666 0.959384566 4.84235589
Other
3.6%
44
53.496 1.685621654
chi
1486
CHI 4.019 df=
DF= 4 pvalue
PVALUE= 0.403456668
greater than 0.01 fail to reject
o2=136.2
n=9 s2=106.4
x2=(n-1)s2/o2
6.25
df=24
pvalue
0.619
Upper
15.51
Lower
2.73
Lower: (n-1)s2/X2U
54.88
Upper: (n-1)s2/X2L
311.79
o2=
(29.09,92.32)
o=
7.41
17.66
F-dISTRIBUTION
S2=0.25 S2=0.122
F=
1.61
DFN=25
DFD=28
PVALUE
0.163 greater than 0.05 fail
Time
A
B
C
F
Row Total
1 h
24
40
60
13
137
Unlimited
19
47
81
16
163
Column Total
43
87
141
29
300
expeced
A
B
C
F
1 h
19.63667 39.73 64.39 13.24333333
Unlimited
23.36333 47.27 76.61 15.75666667
chi
A
B
C
F
1 h
0.969547 0.00183489 0.299302687 0.004471013
Unlimited
0.814896 0.0015422 0.251561154 0.003757845
chi
2.35
rows
2
colums
4
df
3
pvalue
0.503593
greater than 0.01 fail to reject
o2=0.22^2
n=15 s2=0.34^2
x2=(n-1)s2/o2
33.44
0.0484
df=24
0.1156
pvalue
0.002
a=0.01
Upper
39.36
Lower
12.40
Lower: (n-1)s2/X2U
29.09
Upper: (n-1)s2/X2L
92.32
o2=
(29.09,92.32)
o=
5.39
9.61
Row Total
251
264
266
340
1121
20 - 35
36 - 50
51 - 65
Over 65
28
67
65
24
210
14% 32% 23% 12%
29.4 67.2 48.3 25.2
0.066666667 0.00059524 5.77412008 0.05714286
10.74
4
0.030 a=0.01 greater fail to reject
2
x
3
7
15
39
74
y
40
35
30
26
17
r=
-0.963128
3
AGE
PERCENT
OBSERVED
EXPECTED
UNFER 5
7.20%
42
32.76
2.60615385
5 TO 14
13.60%
77
61.88
3.69447964
15 TO 64
67.10%
294
305.305
0.4186077
65 AND OLDER
12.10%
42
55.055
3.09568659
455
CHI
9.815
DF
3
PVALUE
0.0202
A=0.05
LESS THAN 0.05
5
x y xy x^2 y^2
2 0 040
3 1 391
7 4 28 49 16
5 6 30 25 36
4 6 24 16 36
3 1 391
24.792 809 448.36 128.3494287 90
r=0.667
9
o2=5.1
n=31 s2=2.4
x2=(n-1)s2/o2
14.12
df=30
pvalue
0.994
0.05 greater than
Upper
43.77
Lower
18.49
Lower: (n-1)s2/X2U
1.64
Upper: (n-1)s2/X2L
3.89
o2=
(29.09,92.32)
o=
1.28
1.97
10
Ceremonial Ranking
Cooking Jar Sherds
Decorated Jar Sherds (Noncooking)
Row Total
A
91
44
135
B
91
54
145
C
75
79
154
Column Total
257
177
434
EXPECTED
Cooking Jar Sherds
Decorated Jar Sherds (Noncooking)
A
79.94239631 55.0576037
B
85.8640553 59.1359447
C
91.19354839 62.8064516
CHI
Cooking Jar Sherds
Decorated Jar Sherds (Noncooking)
A
1.52948379 2.2207759
B
0.307205709 0.44605575
C
2.875543435 4.17522408
CHISQ
11.554
ROWS
3
COLUMNS
2
DF
2
PVALUE
0.003097548 LESS THAN 0.05
12
F-dISTRIBUTION
S2=0.294 S2=0.828
F=
2.82
DFN=7
DFD=10
PVALUE
0.067 0.933
8
x
26
42
32
47
23
y
28
17
24
13
29
x-bar
37
y-bar
20.38
y-hat
43.314 + -0.593x
r=-0.973
r^2= 0.946
explained
94.60%
unexplain
5.40%
1-0.946
(f)
23.152
40
34
52
17
21
14
