Logistics Regression Paper on Freshman Enrollment

8/19/2019 Logistics Regression Paper on Freshman Enrollment

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1 ns Interactioce Dissidency RaceSexSAT GPA

ns Interactioce Dissidency RaceSexSAT GPA

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PROC STANDARD SAS > 3.29 (


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Boxplots: Response=Enroll, Predictor=GPA, Control=Sex

Sex: M F

MY MN FY FN

2.00

2.25

2.50

2.75

3.00

3.25

3.50

3.75

4.00

G P A

Enrollment Indicator

Mean=3.44

SAS® CODE 1

%MACRO OUTLIER(T1=, N=, W=, B1=, LL=, T2=, V1=, G1=, VA1=, VR1=, VL1=, TL=);

PROC SORT DATA=NENROL.FALLACCEP0506 OUT=BOX;

BY &B1. DESCENDING ENROL_IND;

RUN;

/** SETTING PLOT DISPLAY ATTRIBUTES*/

SYMBOL1 V=CIRCLE C=RED; SYMBOL2 V=SQUARE C=RED;

AXIS1 LABEL=(FONT=VERDANA HEIGHT=1.8 "ENROLLMENT INDICATOR")

VALUE=(FONT=VERDANA HEIGHT = 1.8 &TL.);

LEGEND1 LABEL= (FONT=VERDANA HEIGHT=1.6 "&B1.:") ACROSS=&N. POSITION=(TOP CENTER

OUTSIDE) CBORDER=BLACK CFRAME=CXFFFF88

VALUE= (JUSTIFY=LEFT FONT=VERDANA HEIGHT=1.6 &LL.);

TITLE COLOR=BLACK FONT=VERDANA HEIGHT=2.0 "BOXPLOTS: RESPONSE=ENROLL,

PREDICTOR=&T1.&T2.";

PROC BOXPLOT DATA=BOX;

PLOT &V1.*ENROL_IND&G1./ BOXSTYLE=SCHEMATICID HEIGHT=4.2 VOFFSET=3

HOFFSET=2 CBOXFILL=(BXCL) FONT=VERDANA

IDSYMBOL=CIRCLE VAXIS=&VA1.

VREF=&VR1. VREFLABELS=&VL1. VREFLABPOS=3

CVREF=GREEN LVREF=20 SYMBOLLEGEND=LEGEND1

SYMBOLORDER=DATA HAXIS=AXIS1;

&W. ;

RUN;

%MEND OUTLIER;

/* CALLING MACRO OUTLIER TO PLOT THE BOXPLOT FOR GPA IN FIGURE 3 */

%OUTLIER (T1=GPA, N=2, W= WHERE SEX NE 0 %STR(;), B1=SEX, LL= 'M' 'F', T2=%STR(,)

CONTROL%STR(=)&B1., V1=GPA, G1= %STR(=)&B1., VA1=2.0 2.25 2.5 2.75 3.0

3.25 3.5 3.75 4.0, VR1=3.44, VL1="MEAN=3.44", TL='MY' 'MN' 'FY' 'FN')


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GA 1 12.2620 0.0005

GA*GA 1 13.2299 0.0003

A 1 31.8376


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SAS® CODE 3

PROC LOGISTIC DATA=NENROL.FALLACCEP0506 DESCENDING; CLASS RACE(REF='1-WHITE')

RESIDENCY (REF=LAST) SEX(REF=LAST) /PARAM=REF ORDER=INTERNAL;

MODEL ENROL_IND = GPA GPA*GPA SAT_HIGHTOT SAT_HIGHTOT*SAT_HIGHTOT LG10DIST

SAT_HIGHTOT*LG10DIST RACE GPA*RACE SAT_HIGHTOT*RACE

LG10DIST*RACE SEX RACE*SEX RESIDENCY GPA*RESIDENCY

LG10DIST*RESIDENCY/

EXPB TECH = NEWTON CLODDS=WALD

CTABLE PPROB= 0.3 TO 0.6 BY .05 OUTROC=ROC_FRAD0506;

OUTPUT OUT=NENROL.M2PRED_0506 PRED=PRED_ENROLPROB;

RUN;


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8. E

A E

DF E E C > C E(E)

1 14.6833 2.4686 35.3780


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DV ( ) 0 1,

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0.350 3163 5496 2821 1433 67.1 68.8 66.1 47.1 20.7

0.400 2770 6144 2173 1826 69.0 60.3 73.9 44.0 22.9

T ( = 0.35) 69%

66% . O

67% ( C T 9) . F 6 ROC

S 1S . T 45

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F 6. C C

ROC Curve for Estimated Freshmen Enrollment Model

Sensitivity

0.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1 - Specificity

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

A C C = 0.73


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CC

U

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EFEECE

://..////.

A, A. (1996) A I C D A, JW & S I., N Y

P, M. (2002) C D A U L R C N, C 2002

SAS I I., C, NC 27513, USA.

H, D.W. L, S. (2000) A L R, JW & S I., N Y

J, J. (2001) I E L R, S: Q A S

S, S P I., CA

ACEDGEE

W

. T E T O A D.

L D D S G M U.

CAC FA

Y . C :

V S

O I R, P, A

N V C C

4001 W C R.

A, VA 22003

E: @. 75@.

P: (703) 3233129

SAS SAS I I.

SAS I I. USA . USA .

O .

Logistics Regression Paper on Freshman Enrollment

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