CROSS TABLES TWO AND MULTIWAY GRAPHS
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CROSS TABLES TWO AND MULTIWAY GRAPHS
description
CROSS TABLES TWO AND MULTIWAY GRAPHS. MARGINAL TABLE. Marginal table gives us the distribution of n observations among classes or subgroups of a single variable. Example. The distribution of 60 infants according to their birthweights. CROSS TABLE. - PowerPoint PPT Presentation
Transcript of CROSS TABLES TWO AND MULTIWAY GRAPHS
CROSS TABLES
TWO AND MULTIWAY GRAPHS
MARGINAL TABLE
Marginal table gives us the distribution of n observations among classes or subgroups of a single variable.
Example
Bithweight Frequency Relative Freq.(%)
<2500 gr 14 23.33
2500 gr 46 76.67
Total 60 100.00
The distribution of 60 infants according to their birthweights
CROSS TABLE
Cross table gives us the distribution of n observations among classes or subgroups of two or more variables simultaneously.
Cross table shows the relationship between these variables if it exists.
In these tables, generally there are two kinds of variables
•Dependent (output)variable
•Independent (input)variable
The easiest way to identify the independent variable and dependent variable is to ask the question
Which variable depends on which?
5 31 36
9 15 24
14 46 60
SMOKENot smoking
Smoking
Total
<2500 >=2500
BWT
Total
4 40 44
10 6 16
14 46 60
History ofhypertansion
Not present
Present
Total
<2500 >=2500
BWT
Total
4 9,1 40 90,9 44 100,0
10 62,5 6 37,5 16 100,0
14 23,3 46 76,7 60 100,0
History ofhypertansionNot present
Present
Total
Count % Count % Count %
<2500 >=2500
BWT
Total
5 13,9 31 86,1 36 100,0
9 37,5 15 62,5 24 100,0
14 23,3 46 76,7 60 100,0
SMOKENot smoking
Smoking
Total
Count % Count % Count %
<2500 >=2500
BWT
Total
>=2500
<2500
Pe
rce
nt
100
80
60
40
20
0Not smoking Smoking
63
37
86
14
>=2500
<2500
Pe
rce
nt
100
80
60
40
20
0Not smoking Smoking
63
37
86
14
36 1588 4990 3360,4 753,9
24 1790 4250 2799,7 630,9
60 1588 4990 3136,1 754,4
SMOKENot smoking
Smoking
Total
N Min Max Mean Std. Dev.
BWT
44 2300 4990 3349,3 638,5
16 1588 4360 2550,0 754,9
60 1588 4990 3136,1 754,4
History
of hypertansion
Not present
Present
Total
N Min Max Mean Std. Dev.
BWT
2436N =
SMOKE
SmokingNot smoking
BW
T
6000
5000
4000
3000
2000
1000
13
2436N =
SMOKE
SmokingNot smoking
ME
AN
±1S
D
5000
4000
3000
2000
SMOKE
SmokingNonsmoking
BW
T
6000
5000
4000
3000
2000
1000
2 6,7 28 93,3 30 100,0
3 50,0 3 50,0 6 100,0
5 13,9 31 86,1 36 100,0
2 14,3 12 85,7 14 100,0
7 70,0 3 30,0 10 100,0
9 37,5 15 62,5 24 100,0
History of hypertansionNot present
Present
Total
Not present
Present
Total
SMOKENot smoking
Smoking
Count % Count % Count %
<2500 >=2500
BWT
Total
30 2300 4990 3458,0 647,4
6 1588 4360 2872,5 1097,4
36 1588 4990 3360,4 753,9
14 2410 4250 3116,2 572,5
10 1790 2960 2356,5 412,0
24 1790 4250 2799,7 630,9
44 2300 4990 3349,3 638,5
16 1588 4360 2550,0 754,9
60 1588 4990 3136,1 754,4
History of hypertansion
Not present
Present
Total
Not present
Present
Total
Not present-
Present
Total
SMOKE
Not smoking
Smoking
Total
N Minimum Maximum Mean Std. Dev.
BWT
106 1430N =
SmokingNot smoking
Mea
n ±
1 S
D
5000
4000
3000
2000
1000
History of hypertans
-
+
SMOKE
SMOKE
SmokingNot smoking
BW
T
6000
5000
4000
3000
2000
1000
History of hypertans
+
-
106 1430N =SmokingNot smoking
BW
T6000
5000
4000
3000
2000
1000
History of hypertans
-
+
SMOKE
SMOKE
SmokingNot smoking
Mea
n B
WT
3600
3400
3200
3000
2800
2600
2400
2200
History of hypertans
-
+2357
2873
3116
3458
Male Female Male Female0-4 14,7 14,7 10,6 10,55-9 15,1 14,6 10,6 10,3
10-14 12,9 11,7 10,9 10,615-19 9,7 8,9 10,8 10,620-24 7,6 7,4 9,8 9,625-29 6,6 7,6 8,5 8,430-34 7,1 7,4 8,1 7,935-39 6,3 6,1 7 6,840-44 4,4 4,4 5,8 5,645-49 2,8 2,8 4,6 4,550-54 3,8 3,8 3,4 3,655-59 2,8 2,7 2,9 3,260-64 2,8 3,3 2,8 3,065-69 1,6 1,8 2,1 2,570-74 0,9 1,4 1,2 1,475+ 0,9 1,4 1 1,4
1965 1995
Population, Turkey in 1965 and 1995
Age
03691215
%
Male
Population Pyramid of Turkey, 1965
Female
0 3 6 9 12 15
%
75+ 70-74 65-69 60-64 55-59 50-54 45-49 40-44 35-39 30-34 25-29 20-24 15-19 10-14 5-9
0-4
Age
Population Pyramid of Turkey, 1995
75+ 70-74 65-69 60-64 55-59 50-54 45-49 40-44 35-39 30-34 25-29 20-24 15-19 10-14 5-9
0-4
Age
036912
%
Male
0 3 6 9 12
%
female
03691215
%
Male Female
0 3 6 9 12 15
%
75+ 70-74 65-69 60-64 55-59 50-54 45-49 40-44 35-39 30-34 25-29 20-24 15-19 10-14 5-9
0-4
Age
036912
Male
0 3 6 9 12
female
75+ 70-74 65-69 60-64 55-59 50-54 45-49 40-44 35-39 30-34 25-29 20-24 15-19 10-14 5-9
0-4
Age
Population Pyramid of Turkey, 1965
Population Pyramid of Turkey, 1995
SCATTER PLOTScatter plots illustrate the relationship between two characteristics when both are measured on a numerical scale.
The characteristic hypothesized to explain or predict or the one that occurs first (independent) is placed on x-axis. The characteristic or outcome to be explained or predicted or one that occurs second (dependent) is placed on y-axis. Each observation is represented by a small circle.
Example Ages and sistolic blood pressures of 10 patients are given in the following table:
Patients
1 2 3 4 5 6 7 8 9 10
Age, x 48 47 63 71 54
84 56 69 71
38
SBP, y 68 83 94 90 90
80 100
86 98
71
AGE
807060504030
SB
P
110
100
90
80
70
60x=48
y=68
AGE
5040302010
BW
T6000
5000
4000
3000
2000
1000SMOKE
AGE5040302010
BW
T
6000
5000
4000
3000
2000
1000
Smoking
Not smoking
SCATTER PLOT MATRIX
Y
X1
X2
HEAD CIRCUMFERENCE FOR AGE- GIRLS (TURKEY)
Hea
d C
ircu
mfe
renc
e
AGE (MONTHS)
Head Circumference
