'Life is after all a recursive summation, indeed     Let's do some Statistics!

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Frank Batten College of Engineering and Technology
Old Dominion University
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Normal Probability Plot
SAS Source: N_PLOT.SAS

Description

Normal Probability Plot. The data are the ages at death of the rulers of the UK starting with William the Conqueror.
(Source : The World Almanac and Book of Facts, 1975, P.817)

SAS Listing


OPTIONS LINESIZE=70;
TITLE 'AGES OF BRITISH RULERS';

/* Create a sas data set with name and age of    */
/* British ruler                                 */
DATA RULERS;
/* @@ means a loop in reading input variable sequence */
   INPUT NAME : & $16. AGE @@;
   LABEL AGE ='AGE AT DEATH OF BRITISH RULER';
CARDS;
WILLIAM I       60  WILLIAM II      43  HENRY I         67
STEPHEN         50  HENRY II        56  RICHARD I       42
JOHN            50  HENRY III       65  EDWARD I        68
EDWARD II       43  EDWARD III      65  RICHARD II      34
HENRY IV        47  HENRY V         34  HENRY VI        49
EDWARD IV       41  EDWARD V        13  RICHARD III     35
HENRY VII       53  HENRY VIII      56  EDWARD VI       16
MARY I          43  ELIZABETH       69  JAMES I         59
CHARLES I       48  CROMWELL I      59  CROMWELL II     86
CHARLES II      55  JAMES II        68  WILLIAM III     51
MARY II         33  ANNE            49  GEORGE I        67
GEORGE II       77  GEORGE III      81  GEORGE IV       67
WILLIAM IV      71  VICTORIA        81  EDWARD VII      68
GEORGE V        70  EDWARD VIII     77  GEORGE VI       56
;
RUN;

/* Print the original input data                 */
PROC PRINT;
RUN;

/* Generate a Histogram of Ages                  */
PROC CHART;
   VBAR AGE;
RUN;

/* Calculate Cumulative Percents                 */
PROC RANK DATA=RULERS PERCENT OUT=C;
   VAR AGE;
   RANKS CAGE;
RUN;

/* Calc. Cumulative Probability Plot of Age  */
PROC PLOT NOLEGEND;
   TITLE 'Cumulative Probability Plot';
   PLOT AGE*CAGE='*';
   FORMAT CAGE 5.1;
RUN;

/* Calc. Normal Scores                       */
PROC RANK DATA=RULERS NORMAL=BLOM OUT=R;
   VAR AGE;
   RANKS NAGE;
RUN;

/* Calc. Mean, STD and NObs                  */
PROC MEANS NOPRINT;
   VAR AGE;
   OUTPUT OUT=M MEAN=MEAN STD=STD;
RUN;

/* Merge the Mean with the Scores, create    */
/* the reference points                      */
DATA;
    SET M;
LOOP: SET R;
    EAGE = MEAN + NAGE*STD;
    OUTPUT; GOTO LOOP;

/* Generate Normal Probability Plot          */
PROC PLOT NOLEGEND;
   TITLE 'Normal Probability Plot';
    PLOT AGE*NAGE='*' EAGE*NAGE='+' /OVERLAY;
RUN;


SAS Listing

SAS User Guide (SUG) for Procedures (PROC) used in the Source

SUG CHART procedure
SUG MEANS procedure
SUG PLOT procedure
SUG PRINT procedure
SUG RANK procedure
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