options ls=65 ps=54; /* linesize=65 pagesize=54 lines */
title 'Hardness Testing Experiment from Table 2-5 pg. 50';
* Read data into SAS from an external file;
filename raw '~/Montgomery/Data/tble2-5.dat';
data raw;
infile raw;
input tip1 tip2;
diff=tip1-tip2; /* create a new variable called diff */
run;
proc print data=raw; /* print the data */
run;
Hardness Testing Experiment from Table 2-5 pg. 50 1
08:02 Friday, December 19, 1997
OBS TIP1 TIP2 DIFF
1 7 6 1
2 3 3 0
3 3 5 -2
4 4 3 1
5 8 8 0
6 3 2 1
7 2 4 -2
8 9 9 0
9 5 4 1
10 4 5 -1
* descriptive statistics and inference for diff;
proc univariate data=raw plot normal;
var diff;
run;
Hardness Testing Experiment from Table 2-5 pg. 50 2
08:02 Friday, December 19, 1997
Univariate Procedure
Variable=DIFF
Moments
***N 10 Sum Wgts 10
***Mean -0.1 Sum -1
***Std Dev 1.197219 Variance 1.433333***
Skewness -0.73814 Kurtosis -0.87847
USS 13 CSS 12.9
CV -1197.22 Std Mean 0.378594***
***T:Mean=0 -0.26414 Pr>|T| 0.7976***
Num ^= 0 7 Num > 0 4
M(Sign) 0.5 Pr>=|M| 1.0000
Sgn Rank -2 Pr>=|S| 0.6719
***W:Normal 0.828184 Pr<W 0.0312***
Quantiles(Def=5)
100% Max 1 99% 1
75% Q3 1 95% 1
50% Med 0 90% 1
25% Q1 -1 10% -2
0% Min -2 5% -2
1% -2
Range 3
Q3-Q1 2
Mode 1
Extremes
Lowest Obs Highest Obs
-2( 7) 0( 8)
-2( 3) 1( 1)
-1( 10) 1( 4)
0( 8) 1( 6)
0( 5) 1( 9)
Hardness Testing Experiment from Table 2-5 pg. 50 3
08:02 Friday, December 19, 1997
Univariate Procedure
Variable=DIFF
Stem Leaf # Boxplot
1 0000 4 +-----+
0 | |
0 000 3 *-----*
-0 | + |
-0 | |
-1 0 1 +-----+
-1 |
-2 00 2 |
----+----+----+----+
Normal Probability Plot
1.25+ * * *+++ *
| ++++
| * * *++++
| ++++
| *+++
| ++++
| *+++ *
-2.25+ +++++
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
* Normal Probability Plot for diff;
proc rank data=raw out=qqplot normal=vw;
var diff;
ranks expected;
run;
proc plot data=qqplot vpct=50;
plot diff*expected;
run;
Hardness Testing Experiment from Table 2-5 pg. 50 4
08:02 Friday, December 19, 1997
Plot of DIFF*EXPECTED. Legend: A = 1 obs, B = 2 obs, etc.
1 + D
|
|
|
|
0 + C
|
DIFF |
|
|
-1 + A
|
|
|
|
-2 + B
--+----------+----------+----------+----------+----------+--
-1.5 -1.0 -0.5 0.0 0.5 1.0
RANK FOR VARIABLE DIFF