Download Simple Descriptive Statistics Using SAS

Simple Descriptive Statistics Using SAS
Winter, 2005
/**********************************************
This example shows how to import an Excel
File, set up missing value codes and
create some new variables. New variables
are also created.
Filename: descriptives.sas
**********************************************/
PROC IMPORT OUT= WORK.OWEN
DATAFILE= "C:\temp\labdata\OWEN.XLS"
DBMS=EXCEL REPLACE;
SHEET="OWEN$";
GETNAMES=YES;
MIXED=NO;
SCANTEXT=YES;
USEDATE=YES;
SCANTIME=YES;
RUN;
proc means data=owen;
title "Descriptive Statistics for All Numeric Variables";
run;
data owen2;
set owen;
if vit_a
= 99 then vit_a
= .;
if head_cir = 99 then head_cir = .;
if fatfold = 99 then fatfold = .;
if b_weight = 999 then b_weight= .;
if mot_age = 99 then mot_age = .;
if b_order_ = 99 then b_order_ = .;
if m_height = 999 then m_height=.;
if f_height = 999 then f_height=.;
rename b_order_ = b_order;
bwt_g = b_weight*10;
/*NOTE: THE CODE BELOW TAKES MISSING INTO ACCOUNT*/
if bwt_g not=. and bwt_g < 2500 then lowbwt=1;
if bwt_g >=2500 then lowbwt=0;
if
if
if
if
run;
sex=1
sex=1
sex=2
sex=2
and
and
and
and
race=1
race=2
race=1
race=2
then
then
then
then
sexrace=1;
sexrace=2;
sexrace=3;
sexrace=4;
/*Univariate Statistics and Graphs*/
proc means data=owen2;
title "Descriptive Statistics for All Numeric Variables";
title2 "After Fixing Missing Value Codes";
run;
proc contents data=owen2;
title "Contents of SAS Data Set";
1
run;
proc format;
value sexfmt 1="1:Male" 2="2:Female";
value lbwtfmt 1="1:Low" 0="0:Not Low";
value racefmt 1="1:White" 2="2:Black";
value sexrfmt 1="1:White Male" 2="2:White Female"
3="3:Black Male" 4="4:Black Female";
run;
proc freq data=owen2;
tables childnum sex race sexrace w_rank b_order lowbwt;
format sex sexfmt. lowbwt lbwtfmt. race racefmt.
sexrace sexrfmt.;
title "Frequencies for Categorical Variables";
run;
proc chart data=owen2;
hbar sex race w_rank b_order lowbwt / discrete;
title "Bar Charts for Categorical Variables";
run;
/*Histograms for continuous variables*/
proc univariate data=owen2 plot;
var age b_weight weight ;
histogram;
title "Histogram for Continuous Variables";
run;
/*Bivariate Relationships of Two Categorical Variables*/
proc freq data=owen2;
tables sex*childnum;
title "Crosstabulation of Sex and Child Number";
run;
/*Bivariate Relationships of Two Continuous Variables*/
proc plot data=owen2;
plot weight * height;
title "Scatter Plot of Weight vs Height";
run;
proc gplot data=owen2;
plot weight * height;
run;
/*Bivariate Relationships of Continuous vs. Categorical Variable*/
proc sort data=owen2;
by sex;
run;
proc univariate data=owen2 plot;
by sex;
var weight;
title "Side-by-Side Boxplot Using Proc Univariate";
run;
proc boxplot data=owen2;
plot weight*sex / boxstyle=schematic;
title "Side-by-Side Boxplot Using Proc Boxplot";
run;
2
Descriptive Statistics for All Numeric Variables
The MEANS Procedure
Variable
Label
N
Mean
Std Dev
Minimum
Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
FAM_NUM_
FAM_NUM
1006
4525.11
1634.03
2000.00
7569.00
CHILDNUM
CHILDNUM
1006
1.3359841
0.5716672
1.0000000
3.0000000
AGE
AGE
1006
44.0248509
16.6610452
12.0000000
73.0000000
SEX
SEX
1006
1.4890656
0.5001291
1.0000000
2.0000000
RACE
RACE
1006
1.2823062
0.4503454
1.0000000
2.0000000
W_RANK
W_RANK
1006
2.2127237
0.9024440
1.0000000
4.0000000
INCOME_C
INCOME_C
1006
1581.31
974.2279710
80.0000000
6250.00
HEIGHT
HEIGHT
1001
99.0429570
11.4300111
70.0000000
130.0000000
WEIGHT
WEIGHT
1000
15.6290800
3.6523446
8.2400000
41.0800000
HEMO
HEMO
1006
12.4606362
1.1578850
6.2000000
24.1000000
VIT_C
VIT_C
1006
1.1302187
0.6599121
0.1000000
3.5000000
VIT_A
VIT_A
1006
51.2465209
28.0530567
15.0000000
99.0000000
HEAD_CIR
HEAD_CIR
1006
49.7216700
4.6155769
39.0000000
99.0000000
FATFOLD
FATFOLD
1006
5.6780318
10.8109068
2.6000000
99.0000000
B_WEIGHT
B_WEIGHT
1006
338.4502982
111.0447134
91.0000000
999.0000000
MOT_AGE
MOT_AGE
1006
30.9990060
12.4970444
17.0000000
99.0000000
B_ORDER_
B_ORDER
1006
5.4304175
15.4013836
1.0000000
99.0000000
M_HEIGHT
M_HEIGHT
1006
185.3499006
132.7438368
122.0000000
999.0000000
F_HEIGHT
F_HEIGHT
1006
203.5119284
142.1009149
152.0000000
999.0000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
Descriptive Statistics for All Numeric Variables
After Fixing Missing Value Codes
The MEANS Procedure
Variable
Label
N
Mean
Std Dev
Minimum
Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
FAM_NUM_
FAM_NUM
1006
4525.11
1634.03
2000.00
7569.00
CHILDNUM
CHILDNUM
1006
1.3359841
0.5716672
1.0000000
3.0000000
AGE
AGE
1006
44.0248509
16.6610452
12.0000000
73.0000000
SEX
SEX
1006
1.4890656
0.5001291
1.0000000
2.0000000
RACE
RACE
1006
1.2823062
0.4503454
1.0000000
2.0000000
W_RANK
W_RANK
1006
2.2127237
0.9024440
1.0000000
4.0000000
INCOME_C
INCOME_C
1006
1581.31
974.2279710
80.0000000
6250.00
HEIGHT
HEIGHT
1001
99.0429570
11.4300111
70.0000000
130.0000000
WEIGHT
WEIGHT
1000
15.6290800
3.6523446
8.2400000
41.0800000
HEMO
HEMO
1006
12.4606362
1.1578850
6.2000000
24.1000000
VIT_C
VIT_C
1006
1.1302187
0.6599121
0.1000000
3.5000000
VIT_A
VIT_A
763
36.0380079
8.8951237
15.0000000
78.0000000
HEAD_CIR
HEAD_CIR
999
49.3763764
2.0739057
39.0000000
56.0000000
FATFOLD
FATFOLD
993
4.4562941
1.6683194
2.6000000
42.0000000
B_WEIGHT
B_WEIGHT
986
325.0517241
59.5162936
91.0000000
544.0000000
MOT_AGE
MOT_AGE
981
29.2660550
6.2603025
17.0000000
51.0000000
b_order
B_ORDER
980
2.9479592
2.1939526
1.0000000
16.0000000
M_HEIGHT
M_HEIGHT
980
163.7632653
6.3663343
122.0000000
199.0000000
F_HEIGHT
F_HEIGHT
975
178.2194872
7.3821354
152.0000000
210.0000000
bwt_g
986
3250.52
595.1629357
910.0000000
5440.00
lowbwt
986
0.1075051
0.3099115
0
1.0000000
sexrace
1006
2.2604374
1.0953386
1.0000000
4.0000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
3
Contents of SAS Data Set
The CONTENTS Procedure
Data Set Name
Member Type
Engine
Created
Last Modified
Protection
Data Set Type
Label
Data Representation
Encoding
WORK.OWEN2
DATA
V9
Monday, January 03, 2005 05:25:10 PM
Monday, January 03, 2005 05:25:10 PM
Observations
Variables
Indexes
Observation Length
Deleted Observations
Compressed
Sorted
1006
22
0
176
0
NO
NO
WINDOWS_32
wlatin1 Western (Windows)
Engine/Host Dependent Information
Data Set Page Size
Number of Data Set Pages
First Data Page
Max Obs per Page
Obs in First Data Page
Number of Data Set Repairs
File Name
Release Created
Host Created
16384
12
1
92
74
0
C:\DOCUME~1\Kathy\LOCALS~1\Temp\SAS Temporary Files\_TD688\owen2.sas7bdat
9.0101M2
XP_HOME
Alphabetic List of Variables and Attributes
#
Variable
Type
3
15
2
1
14
19
13
8
10
7
16
18
5
4
12
11
9
6
17
20
21
22
AGE
B_WEIGHT
CHILDNUM
FAM_NUM_
FATFOLD
F_HEIGHT
HEAD_CIR
HEIGHT
HEMO
INCOME_C
MOT_AGE
M_HEIGHT
RACE
SEX
VIT_A
VIT_C
WEIGHT
W_RANK
b_order
bwt_g
lowbwt
sexrace
Num
Num
Num
Num
Num
Num
Num
Num
Num
Num
Num
Num
Num
Num
Num
Num
Num
Num
Num
Num
Num
Num
4
Len
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
Label
AGE
B_WEIGHT
CHILDNUM
FAM_NUM
FATFOLD
F_HEIGHT
HEAD_CIR
HEIGHT
HEMO
INCOME_C
MOT_AGE
M_HEIGHT
RACE
SEX
VIT_A
VIT_C
WEIGHT
W_RANK
B_ORDER
Frequencies for Categorical Variables
The FREQ Procedure
CHILDNUM
Cumulative
Cumulative
CHILDNUM
Frequency
Percent
Frequency
Percent
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
1
720
71.57
720
71.57
2
234
23.26
954
94.83
3
52
5.17
1006
100.00
SEX
Cumulative
Cumulative
SEX
Frequency
Percent
Frequency
Percent
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
1:Male
514
51.09
514
51.09
2:Female
492
48.91
1006
100.00
RACE
Cumulative
Cumulative
RACE
Frequency
Percent
Frequency
Percent
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
1:White
722
71.77
722
71.77
2:Black
284
28.23
1006
100.00
Cumulative
Cumulative
sexrace
Frequency
Percent
Frequency
Percent
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
1:White Male
368
36.58
368
36.58
2:White Female
146
14.51
514
51.09
3:Black Male
354
35.19
868
86.28
4:Black Female
138
13.72
1006
100.00
5
Frequencies for Categorical Variables
The FREQ Procedure
W_RANK
Cumulative
Cumulative
W_RANK
Frequency
Percent
Frequency
Percent
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
1
237
23.56
237
23.56
2
406
40.36
643
63.92
3
275
27.34
918
91.25
4
88
8.75
1006
100.00
B_ORDER
Cumulative
Cumulative
b_order
Frequency
Percent
Frequency
Percent
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
1
278
28.37
278
28.37
2
244
24.90
522
53.27
3
178
18.16
700
71.43
4
113
11.53
813
82.96
5
58
5.92
871
88.88
6
42
4.29
913
93.16
7
28
2.86
941
96.02
8
9
0.92
950
96.94
9
7
0.71
957
97.65
10
8
0.82
965
98.47
11
6
0.61
971
99.08
12
4
0.41
975
99.49
13
2
0.20
977
99.69
14
2
0.20
979
99.90
16
1
0.10
980
100.00
Frequency Missing = 26
Frequencies for Categorical Variables
The FREQ Procedure
Cumulative
Cumulative
lowbwt
Frequency
Percent
Frequency
Percent
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
0:Not Low
880
89.25
880
89.25
1:Low
106
10.75
986
100.00
Frequency Missing = 20
6
Bar Charts for Categorical Variables
SEX
1
2
‚
‚*********************************************************************
‚
‚******************************************************************
‚
Šƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒ
30 60 90 120 150 180 210 240 270 300 330 360 390 420 450 480 510
Frequency
Freq
Cum.
Freq
Percent
Cum.
Percent
514
514
51.09
51.09
492
1006
48.91
100.00
RACE
1
2
‚
‚************************************************************************
‚
‚****************************
‚
Šƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒ
50 100 150 200 250 300 350 400 450 500 550 600 650 700
Freq
Cum.
Freq
Percent
Cum.
Percent
722
722
71.77
71.77
284
1006
28.23
100.00
Frequency
Bar Charts for Categorical Variables
W_RANK
1
2
3
4
‚
‚***********************************************
‚
‚*********************************************************************************
‚
‚*******************************************************
‚
‚******************
‚
Šƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒ
20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400
Frequency
7
Freq
Cum.
Freq
Percent
Cum.
Percent
237
237
23.56
23.56
406
643
40.36
63.92
275
918
27.34
91.25
88
1006
8.75
100.00
Bar Charts for Categorical Variables
B_ORDER
1
2
3
4
5
6
7
8
9
10
11
12
13
14
16
‚
‚********************************************************
‚
‚*************************************************
‚
‚************************************
‚
‚***********************
‚
‚************
‚
‚********
‚
‚******
‚
‚**
‚
‚*
‚
‚**
‚
‚*
‚
‚*
‚
‚
‚
‚
‚
‚
‚
Šƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆƒƒƒˆ
20 40 60 80 100 120 140 160 180 200 220 240 260 280
Freq
Cum.
Freq
Percent
Cum.
Percent
278
278
28.37
28.37
244
522
24.90
53.27
178
700
18.16
71.43
113
813
11.53
82.96
58
871
5.92
88.88
42
913
4.29
93.16
28
941
2.86
96.02
9
950
0.92
96.94
7
957
0.71
97.65
8
965
0.82
98.47
6
971
0.61
99.08
4
975
0.41
99.49
2
977
0.20
99.69
2
979
0.20
99.90
1
980
0.10
100.00
Frequency
Bar Charts for Categorical Variables
lowbwt
0
1
‚
‚********************************************
‚
‚*****
‚
Šƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒˆƒƒƒƒ
100 200 300 400 500 600 700 800
Frequency
8
Freq
Cum.
Freq
Percent
Cum.
Percent
880
880
89.25
89.25
106
986
10.75
100.00
Histogram for Continuous Variables
The UNIVARIATE Procedure
Variable: AGE (AGE)
Moments
N
Mean
Std Deviation
Skewness
Uncorrected SS
Coeff Variation
1006
44.0248509
16.6610452
-0.1448644
2228795
37.8446374
Sum Weights
Sum Observations
Variance
Kurtosis
Corrected SS
Std Error Mean
1006
44289
277.590427
-1.0971483
278978.379
0.52529498
Basic Statistical Measures
Location
Mean
44.02485
Median
45.00000
Mode
45.00000
Test
Student's t
Sign
Signed Rank
Variability
Std Deviation
Variance
Range
Interquartile Range
16.66105
277.59043
61.00000
27.00000
Tests for Location: Mu0=0
-Statistic-----p Value-----t 83.80977
Pr > |t|
<.0001
M
503
Pr >= |M|
<.0001
S 253260.5
Pr >= |S|
<.0001
Quantiles (Definition 5)
Quantile
Estimate
100% Max
99%
95%
90%
75% Q3
50% Median
25% Q1
10%
5%
1%
0% Min
73
71
69
66
58
45
31
20
16
13
12
Extreme Observations
----Lowest---Value
Obs
12
12
12
12
13
----Highest--Value
Obs
968
528
375
111
979
72
72
72
72
73
9
96
131
664
828
78
Histogram for Continuous Variables
The UNIVARIATE Procedure
Variable: AGE (AGE)
Histogram
72.5+************
.************************************
.*******************************
.*****************************
.******************************
.***********************************
42.5+********************************
.***************************
.***************************
.**************************
.********************
.*************************
12.5+*********
----+----+----+----+----+----+----+* may represent up to 3 counts
#
36
106
91
86
88
105
96
79
81
78
60
75
25
Boxplot
|
|
|
+-----+
|
|
*-----*
| + |
|
|
+-----+
|
|
|
|
Normal Probability Plot
72.5+
++********
|
********
|
*****+
|
***++
|
****+
|
***+
42.5+
****
|
***
|
+***
|
+****
|
+****
|
********
12.5+******++
+----+----+----+----+----+----+----+----+----+----+
-2
-1
0
+1
+2
10
Histogram for Continuous Variables
The UNIVARIATE Procedure
Variable: B_WEIGHT (B_WEIGHT)
Moments
986
Sum Weights
325.051724
Sum Observations
59.5162936
Variance
-0.4343559
Kurtosis
107668459
Corrected SS
18.3097917
Std Error Mean
N
Mean
Std Deviation
Skewness
Uncorrected SS
Coeff Variation
Basic Statistical Measures
Location
Variability
Mean
325.0517
Std Deviation
Median
331.0000
Variance
Mode
354.0000
Range
Interquartile Range
Test
Student's t
Sign
Signed Rank
986
320501
3542.1892
1.25461651
3489056.36
1.89538491
59.51629
3542
453.00000
73.00000
Tests for Location: Mu0=0
-Statistic-----p Value-----t 171.4964
Pr > |t|
<.0001
M
493
Pr >= |M|
<.0001
S 243295.5
Pr >= |S|
<.0001
Quantiles (Definition 5)
Quantile
Estimate
100% Max
544
99%
453
95%
413
90%
399
75% Q3
363
50% Median
331
25% Q1
290
10%
249
5%
227
1%
136
0% Min
91
Extreme Observations
----Lowest---Value
Obs
91
409
104
12
108
317
108
316
109
972
Missing
Value
.
----Highest--Value
Obs
480
547
499
441
503
440
517
669
544
684
Missing Values
-----Percent Of----Missing
Count
All Obs
Obs
20
11
1.99
100.00
Histogram for Continuous Variables
The UNIVARIATE Procedure
Variable: B_WEIGHT (B_WEIGHT)
Histogram
550+*
.
.*
.*
.*
.****
.******
.***********
.********************
.************************
.******************************************
.*********************************
.****************************
.********************************
.*******************
.************
.*******
.******
.**
.*
.*
.**
.**
90+*
----+----+----+----+----+----+----+----+-* may represent up to 4 counts
#
1
Boxplot
0
2
2
1
15
21
41
80
96
165
132
111
126
76
45
27
23
6
1
4
5
5
1
0
0
|
|
|
|
|
+-----+
|
|
*--+--*
|
|
+-----+
|
|
|
|
|
0
0
0
0
0
Histogram for Continuous Variables
Variable: B_WEIGHT (B_WEIGHT)
Normal Probability Plot
550+
*
|
|
*
|
*
|
++*
|
*****
|
+****
|
+****
|
*****
|
*****
|
*****
|
*****
|
****+
|
*****
|
****+
|
***+
|
***
|
+****
| +++**
|+
*
| **
|***
|*
90+*
+----+----+----+----+----+----+----+----+----+----+
-2
-1
0
+1
+2
12
Histogram for Continuous Variables
The UNIVARIATE Procedure
Variable: WEIGHT (WEIGHT)
Moments
N
Mean
Std Deviation
Skewness
Uncorrected SS
Coeff Variation
1000
15.62908
3.65234459
0.97193709
257594.423
23.3689033
Sum Weights
Sum Observations
Variance
Kurtosis
Corrected SS
Std Error Mean
Basic Statistical Measures
Location
Variability
Mean
15.62908
Std Deviation
Median
15.20000
Variance
Mode
15.00000
Range
Interquartile Range
Test
Student's t
Sign
Signed Rank
1000
15629.08
13.339621
3.43576311
13326.2814
0.11549728
3.65234
13.33962
32.84000
4.76500
Tests for Location: Mu0=0
-Statistic-----p Value-----t 135.3199
Pr > |t|
<.0001
M
500
Pr >= |M|
<.0001
S
250250
Pr >= |S|
<.0001
Quantiles (Definition 5)
Quantile
Estimate
100% Max
41.080
99%
26.250
95%
21.785
90%
20.070
75% Q3
17.870
50% Median
15.200
25% Q1
13.105
10%
11.105
5%
10.280
1%
9.035
0% Min
8.240
Extreme Observations
----Lowest-------Highest---Value
Obs
Value
Obs
8.24
824
27.64
975
8.30
986
30.30
618
8.39
125
31.40
774
8.60
735
36.28
391
8.64
968
41.08
909
Missing
Value
.
Missing Values
-----Percent Of----Missing
Count
All Obs
Obs
6
0.60
100.00
13
Histogram for Continuous Variables
The UNIVARIATE Procedure
Variable: WEIGHT (WEIGHT)
Histogram
41+*
.
.*
.
.
.*
.
.**
25+**
.****
.***********
.************************
.*****************************
.*******************************************
.****************************
.*********************
9+******
----+----+----+----+----+----+----+----+--* may represent up to 6 counts
#
1
Boxplot
*
1
*
2
0
7
10
24
61
140
174
256
167
122
35
The UNIVARIATE Procedure
Variable: WEIGHT (WEIGHT)
Normal Probability Plot
41+
*
|
|
*
|
|
|
*
|
|
***
25+
****++
|
****++
|
+*****
|
******
|
******
|
********
|
******
|
*********
9+********++
+----+----+----+----+----+----+----+----+----+----+
-2
-1
0
+1
+2
14
0
0
|
|
|
+-----+
*--+--*
+-----+
|
|
Crosstabulation of Sex and Child Number
The FREQ Procedure
Table of SEX by CHILDNUM
SEX(SEX)
CHILDNUM(CHILDNUM)
Frequency‚
Percent ‚
Row Pct ‚
Col Pct ‚
1‚
2‚
3‚ Total
ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ
1 ‚
372 ‚
113 ‚
29 ‚
514
‚ 36.98 ‚ 11.23 ‚
2.88 ‚ 51.09
‚ 72.37 ‚ 21.98 ‚
5.64 ‚
‚ 51.67 ‚ 48.29 ‚ 55.77 ‚
ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ
2 ‚
348 ‚
121 ‚
23 ‚
492
‚ 34.59 ‚ 12.03 ‚
2.29 ‚ 48.91
‚ 70.73 ‚ 24.59 ‚
4.67 ‚
‚ 48.33 ‚ 51.71 ‚ 44.23 ‚
ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ
Total
720
234
52
1006
71.57
23.26
5.17
100.00
Scatter Plot of Weight vs Height
Plot of WEIGHT*HEIGHT. Legend: A = 1 obs, B = 2 obs, etc.
W
E
I
G
H
T
50 ˆ
‚
‚
‚
‚
‚
A
40 ˆ
‚
‚
A
‚
‚
‚
A
30 ˆ
A
‚
AA
‚
A BAA
‚
A
A
A AA
A A
‚
AA BAA ABABA
A
‚
A
A A A CCCEFECBAAAA
20 ˆ
A BCD BCEJFGKFFDEAB A
‚
ACBABDFHFNQSMHMGD AA
‚
B A A DCEMMNHNOOMJKDABAAAA
‚
ABAAAABFFGJIMHNOPZNTILFGHEA
A
‚
A B C FFFFMNHKNJJGFCFBAAA A AA
‚
BBEDEAKCGKEIKHHJFHCHBB
A
10 ˆ
ABCFCJJFBBABBA CAAAA
‚ ADA
ABA A A
‚
‚
‚
‚
0 ˆ
Šƒƒˆƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒˆƒƒ
70
80
90
100
110
120
130
HEIGHT
NOTE: 8 obs had missing values.
2 obs hidden.
15
Side-by-Side Boxplot Using Proc Univariate
----------------------------------------------------------- SEX=1 ---------------------------------------------The UNIVARIATE Procedure
Variable: WEIGHT (WEIGHT)
Moments
N
Mean
Std Deviation
Skewness
Uncorrected SS
Coeff Variation
510
15.8952157
3.62177792
1.34306809
135532.213
22.7853336
Sum Weights
Sum Observations
Variance
Kurtosis
Corrected SS
Std Error Mean
Basic Statistical Measures
Location
Variability
Mean
15.89522
Std Deviation
Median
15.42000
Variance
Mode
15.00000
Range
Interquartile Range
Test
Student's t
Sign
Signed Rank
510
8106.56
13.1172753
6.08443256
6676.69313
0.16037502
3.62178
13.11728
31.70000
4.70000
Tests for Location: Mu0=0
-Statistic-----p Value-----t 99.11279
Pr > |t|
<.0001
M
255
Pr >= |M|
<.0001
S
65152.5
Pr >= |S|
<.0001
Variable:
WEIGHT
(WEIGHT)
Quantiles (Definition 5)
Quantile
Estimate
100% Max
41.080
99%
24.300
95%
21.860
90%
20.185
75% Q3
18.100
50% Median
15.420
25% Q1
13.400
10%
11.560
5%
10.800
1%
9.980
0% Min
9.380
Extreme Observations
----Lowest---Value
Obs
9.38
464
9.50
434
9.53
4
9.56
465
9.60
514
Missing
Value
.
----Highest---Value
Obs
26.30
270
26.36
237
31.40
400
36.28
214
41.08
477
Missing Values
-----Percent Of----Missing
Count
All Obs
Obs
4
0.78
100.00
Histogram
41+*
.
.*
16
#
1
Boxplot
*
1
*
.
.
.*
.
.*
25+*
.*****
.*************
.*************************
.********************************
.********************************************
.******************************
.*****************
9+****
----+----+----+----+----+----+----+----+---* may represent up to 3 counts
1
2
3
14
38
74
94
130
90
51
11
0
0
|
|
|
+-----+
|
|
*--+--*
+-----+
|
|
Side-by-Side Boxplot Using Proc Univariate
----------------------------------------------------------- SEX=1 ---------------------------------------------The UNIVARIATE Procedure
Variable: WEIGHT (WEIGHT)
Normal Probability Plot
41+
*
|
|
*
|
|
|
*
|
|
**
25+
**++
|
*****+
|
******
|
*******
|
******
|
*******
|
********
|
*********+
9+*****++++
+----+----+----+----+----+----+----+----+----+----+
-2
-1
0
+1
+2
17
Side-by-Side Boxplot Using Proc Univariate
----------------------------------------------------------- SEX=2 ----------------------------------------------
N
Mean
Std Deviation
Skewness
Uncorrected SS
Coeff Variation
The UNIVARIATE Procedure
Variable: WEIGHT (WEIGHT)
Moments
490
Sum Weights
15.3520816
Sum Observations
3.6670949
Variance
0.62442916
Kurtosis
122062.21
Corrected SS
23.8866298
Std Error Mean
Basic Statistical Measures
Location
Variability
Mean
15.35208
Std Deviation
Median
15.00000
Variance
Mode
15.00000
Range
Interquartile Range
Test
Student's t
Sign
Signed Rank
490
7522.52
13.447585
0.72837857
6575.86908
0.16566246
3.66709
13.44759
22.06000
4.99000
Tests for Location: Mu0=0
-Statistic-----p Value-----t 92.67085
Pr > |t|
<.0001
M
245
Pr >= |M|
<.0001
S
60147.5
Pr >= |S|
<.0001
Variable: WEIGHT (WEIGHT)
Quantiles (Definition 5)
Quantile
Estimate
100% Max
30.30
99%
26.45
95%
21.64
90%
19.89
75% Q3
17.69
50% Median
15.00
25% Q1
12.70
10%
10.89
5%
10.00
1%
8.64
0% Min
8.24
Extreme Observations
----Lowest-------Highest---Value
Obs
Value
Obs
8.24
906
26.45
703
8.30
996
26.62
908
8.39
574
27.50
944
8.60
866
27.64
990
8.64
985
30.30
810
Missing
Value
.
Missing Values
-----Percent Of----Missing
Count
All Obs
Obs
2
0.41
100.00
18
Side-by-Side Boxplot Using Proc Univariate
----------------------------------------------------------- SEX=2 ---------------------------------------------Variable: WEIGHT (WEIGHT)
Histogram
30.5+*
.
.
.*
.**
.**
.**
.*
.****
.****
.********
19.5+***************
.******************
.********************
.*********************
.*********************************
.******************************
.********************
.*******************
.*********************
.***************
.********
8.5+****
----+----+----+----+----+----+--* may represent up to 2 counts
#
1
Boxplot
0
2
3
3
4
2
8
7
16
30
36
39
41
66
60
39
38
41
30
16
8
0
0
0
|
|
|
|
|
|
|
+-----+
|
|
*--+--*
|
|
|
|
+-----+
|
|
|
|
Normal Probability Plot
30.5+
*
|
|
|
*
|
**
|
**
|
*** ++
|
* +++
|
***+
|
**+
|
***
19.5+
****
|
****
|
***
|
+***
|
*****
|
****
|
***
|
****
|
****
|
*****
|
*****++
8.5+**** +++
+----+----+----+----+----+----+----+----+----+----+
-2
-1
0
+1
+2
Schematic Plots
45
40
35
30
25
20
15
10
5
SEX
|
+
|
|
|
*
+
|
|
|
*
+
|
|
|
0
+
0
|
|
0
|
0
0
+
0
|
|
|
|
|
|
|
|
|
+
|
|
|
|
|
|
+-----+
+-----+
|
| + |
|
|
+
*-----*
*--+--*
|
+-----+
|
|
|
|
+-----+
|
|
|
+
|
|
|
|
|
|
+
------------+-----------+----------1
2
19