Quick guide for comparing groups in structural equation modeling. Could compare correlation (covariance) matrices but here we are comparing two parameters (regression coefficients) between males and females. The overall model we start with here comes from the final run of the mediation guide where it was shown that factor 2 “work effort” is shown to account for a significant level.
Merle Canfield
Before any runs the data file must be split into to files – one for female data and another for male data. Split the file by first saving the full file into one identified and male and the other identified as female. Then for each file select male or female in the following manner.
Saving female (female was coded as 1.0 in the original file) database.
Save the male data set in a similar manner selecting gendern =2.0.
Then using the EDS file (above from the mediation example) generate runs on both the female and male data set. Each time you save the EQX file into and EQS file. The EQS file is then a syntax file that can be modified which needs to be done when comparing groups. Save both the female EQS file into a single EQS file. That file is listed below with the changes is RED that need to be changed to compare the two parameters in question. These parameters are: (1) factor 2 to factor 1, and (2) factor 3 to factor 1. The question being answered is: are these two parameters the same or different for the two groups?
/TITLE
Model built by EQS 6 for Windows
/SPECIFICATIONS
DATA='q:\semguide\lsqfemale.ess';
VARIABLES=209; CASES=450;
groups=2;
METHOD=ML; ANALYSIS=COVARIANCE; MATRIX=RAW;
/LABELS
V1=LNAME; V2=MI; V3=OCCUP; V4=GROUP; V5=GENDER;
V6=GENDERN; V7=EDUC; V8=TDATE; V9=BDATE; V10=AGE;
V11=TAGE; V12=ENJOY; V13=FGOOD; V14=WORTH;
V15=FEARFUL;
V16=ANGRY; V17=TENSE; V18=SHY; V19=WORNOUT;
V20=FITIN;
V21=APPROVE; V22=SHOULD; V23=FINISHED; V24=CHANGED;
V25=SAD;
V26=CONFUSE; V27=USELESS; V28=HURTSEL; V29=SAY;
V30=JEALOUS;
V31=SLEEP; V32=FUN; V33=ALCOHOL; V34=DRUGS;
V35=LIVELY;
V36=LONELY; V37=INSECURE; V38=WORRIED; V39=SORRY;
V40=OUTGOING;
V41=FORCED; V42=ADVANTGE; V43=PRODUTIV;
V44=COPERTIV; V45=PUNISED;
V46=SUSPICIS; V47=SATISFID; V48=NECESITS; V49=FAIR;
V50=AMBITOUS;
V51=COUTEOUS; V52=CRETIVE; V53=LOYAL; V54=HANDS;
V55=DIFERENT;
V56=SOLVING; V57=STEADY; V58=HEALTH; V59=TRUST;
V60=INTELIGN;
V61=KIND; V62=BUSY; V63=SUCESFUL; V64=CHARM;
V65=TOUCHED;
V66=CHARGE; V67=GRUDGE; V68=COURAGE; V69=FUTURE;
V70=HITPEOLE;
V71=LKWORK; V72=PEOPLE; V73=WHATDO; V74=DOWILL;
V75=DISAGREE;
V76=SIXSENSE; V77=SHOW; V78=LAW; V79=HCONFLIC;
V80=BODY;
V81=BETTER; V82=PURPOSE; V83=ARRANGE; V84=INCLUDED;
V85=STANDUP;
V86=NEGATIVE; V87=POSITIVE; V88=CONCETRT;
V89=BEHAVIOR; V90=GJOB;
V91=INTEFER; V92=GENTLE; V93=MONEY; V94=THINGS;
V95=IDEAS;
V96=DEATH; V97=SPUR; V98=LIFE; V99=PAID;
V100=PUNISHED;
V101=HELP; V102=QUIT; V103=EXCITING; V104=LIKEME;
V105=OUTSELF;
V106=POSITON; V107=FIRM; V108=ALONG; V109=EXPRESS;
V110=CONFRONT;
V111=RESOLVED; V112=SPTALK; V113=SPCONFLT;
V114=SPFEE; V115=SPSUPP;
V116=SPPROD; V117=SPLEIS; V118=FMTALK;
V119=FMCONFLT; V120=FMFEE;
V121=FMSUPP; V122=FMPROD; V123=FMLEIS; V124=FRTALK;
V125=FRCONFLT;
V126=FRFEE; V127=FRSUPP; V128=FRPROD; V129=FRLEIS;
V130=WKTALK;
V131=WKCONFLT; V132=WKFEE; V133=WKSUPP; V134=WKPROD;
V135=WKLEIS;
V136=WORKING; V137=PARENTNG; V138=COMUTING;
V139=SLEEPNG; V140=EATING;
V141=READING; V142=STUDYING; V143=EXERCISE;
V144=SHOPING; V145=DRINKING;
V146=RELAXING; V147=LOVING; V148=NOTHING;
V149=PSPORTS; V150=OBSPORT;
V151=RELIGON; V152=CLASSES; V153=CONCERTS;
V154=SERVORG; V155=MOVIES;
V156=TOGETHER; V157=COUNSEL; V158=PUBSERV;
V159=HYGIENE; V160=HOUSEWOR;
V161=CREATING; V162=ERRANDS; V163=VOLUNTER;
V164=DRIVING; V165=DINNING;
V166=HOUSEWK; V167=TVDRAMA; V168=TVSPORT;
V169=TVNEWS; V170=TVTALK;
V171=TTALK; V172=ACCEPT; V173=CARE; V174=COPING;
V175=DEP1;
V176=DRUGALC; V177=DSM3; V178=DSTRS; V179=DSTRS2;
V180=EMPLOY;
V181=LCONTRL; V182=LEAD; V183=LEIS1; V184=LEIS2;
V185=LEIS3;
V186=LEIS4; V187=LEIS5; V188=PARAN; V189=QUAL;
V190=REL1;
V191=REL2; V192=REL3; V193=REL4; V194=VALUE;
V195=FEMALE;
V196=MALE; V197=GENDERX; V198=XANGRY; V199=XTENSE;
V200=XAGE;
V201=XFUN; V202=XFITIN; V203=GXANGRY; V204=GXTENSE;
V205=AXANGRY;
/EQUATIONS
V12 = *F3 +
E12;
V13 = *F3 +
E13;
V14 = *F3 +
E14;
V19 = *F2 +
*V12 + *V38 + E19;
V23 = *F1 +
E23;
V38 = *F3 +
E38;
V43 = 1F1 +
*V14 + E43;
V47 = *F1 +
*V38 + E47;
V56 = *F2 +
E56;
V57 = 1F2 +
E57;
V63 = *F1 +
*V13 + E63;
V90 = *F2 +
E90;
F1 = *F2 +
*F3 + D1;
F2 = *F3 +
D2;
/VARIANCES
F3 = 1;
E12 = *;
E13 = *;
E14 = *;
E19 = *;
E23 = *;
E38 = *;
E43 = *;
E47 = *;
E56 = *;
E57 = *;
E63 = *;
E90 = *;
D1 = *;
D2 = *;
/COVARIANCES
E43,E23 = *;
E47,E23 = *;
E47,E43 = *;
E63,E23 = *;
E63,E43 = *;
E63,E47 = *;
/PRINT
FIT=ALL;
TABLE=EQUATION;
/OUTPUT
Parameters;
Standard Errors;
RSquare;
Listing;
DATA='EQSOUT.ETS';
/END
/TITLE
Model built by EQS 6 for Windows
/SPECIFICATIONS
DATA='q:\semguide\lsqmale.ess';
VARIABLES=209; CASES=188;
METHOD=ML; ANALYSIS=COVARIANCE; MATRIX=RAW;
/LABELS
V1=LNAME; V2=MI; V3=OCCUP; V4=GROUP; V5=GENDER;
V6=GENDERN; V7=EDUC; V8=TDATE; V9=BDATE; V10=AGE;
V11=TAGE; V12=ENJOY; V13=FGOOD; V14=WORTH;
V15=FEARFUL;
V16=ANGRY; V17=TENSE; V18=SHY; V19=WORNOUT;
V20=FITIN;
V21=APPROVE; V22=SHOULD; V23=FINISHED; V24=CHANGED;
V25=SAD;
V26=CONFUSE; V27=USELESS; V28=HURTSEL; V29=SAY;
V30=JEALOUS;
V31=SLEEP; V32=FUN; V33=ALCOHOL; V34=DRUGS;
V35=LIVELY;
V36=LONELY; V37=INSECURE; V38=WORRIED; V39=SORRY;
V40=OUTGOING;
V41=FORCED; V42=ADVANTGE; V43=PRODUTIV;
V44=COPERTIV; V45=PUNISED;
V46=SUSPICIS; V47=SATISFID; V48=NECESITS; V49=FAIR;
V50=AMBITOUS;
V51=COUTEOUS; V52=CRETIVE; V53=LOYAL; V54=HANDS;
V55=DIFERENT;
V56=SOLVING; V57=STEADY; V58=HEALTH; V59=TRUST;
V60=INTELIGN;
V61=KIND; V62=BUSY; V63=SUCESFUL; V64=CHARM;
V65=TOUCHED;
V66=CHARGE; V67=GRUDGE; V68=COURAGE; V69=FUTURE;
V70=HITPEOLE;
V71=LKWORK; V72=PEOPLE; V73=WHATDO; V74=DOWILL;
V75=DISAGREE;
V76=SIXSENSE; V77=SHOW; V78=LAW; V79=HCONFLIC;
V80=BODY;
V81=BETTER; V82=PURPOSE; V83=ARRANGE; V84=INCLUDED;
V85=STANDUP;
V86=NEGATIVE; V87=POSITIVE; V88=CONCETRT;
V89=BEHAVIOR; V90=GJOB;
V91=INTEFER; V92=GENTLE; V93=MONEY; V94=THINGS;
V95=IDEAS;
V96=DEATH; V97=SPUR; V98=LIFE; V99=PAID;
V100=PUNISHED;
V101=HELP; V102=QUIT; V103=EXCITING; V104=LIKEME;
V105=OUTSELF;
V106=POSITON; V107=FIRM; V108=ALONG; V109=EXPRESS;
V110=CONFRONT;
V111=RESOLVED; V112=SPTALK; V113=SPCONFLT;
V114=SPFEE; V115=SPSUPP;
V116=SPPROD; V117=SPLEIS; V118=FMTALK;
V119=FMCONFLT; V120=FMFEE;
V121=FMSUPP; V122=FMPROD; V123=FMLEIS; V124=FRTALK;
V125=FRCONFLT;
V126=FRFEE; V127=FRSUPP; V128=FRPROD; V129=FRLEIS;
V130=WKTALK;
V131=WKCONFLT; V132=WKFEE; V133=WKSUPP; V134=WKPROD;
V135=WKLEIS;
V136=WORKING; V137=PARENTNG; V138=COMUTING; V139=SLEEPNG;
V140=EATING;
V141=READING; V142=STUDYING; V143=EXERCISE;
V144=SHOPING; V145=DRINKING;
V146=RELAXING; V147=LOVING; V148=NOTHING;
V149=PSPORTS; V150=OBSPORT;
V151=RELIGON; V152=CLASSES; V153=CONCERTS;
V154=SERVORG; V155=MOVIES;
V156=TOGETHER; V157=COUNSEL; V158=PUBSERV;
V159=HYGIENE; V160=HOUSEWOR;
V161=CREATING; V162=ERRANDS; V163=VOLUNTER;
V164=DRIVING; V165=DINNING;
V166=HOUSEWK; V167=TVDRAMA; V168=TVSPORT;
V169=TVNEWS; V170=TVTALK;
V171=TTALK; V172=ACCEPT; V173=CARE; V174=COPING;
V175=DEP1;
V176=DRUGALC; V177=DSM3; V178=DSTRS; V179=DSTRS2;
V180=EMPLOY;
V181=LCONTRL; V182=LEAD; V183=LEIS1; V184=LEIS2;
V185=LEIS3;
V186=LEIS4; V187=LEIS5; V188=PARAN; V189=QUAL;
V190=REL1;
V191=REL2; V192=REL3; V193=REL4; V194=VALUE;
V195=FEMALE;
V196=MALE; V197=GENDERX; V198=XANGRY; V199=XTENSE;
V200=XAGE;
V201=XFUN; V202=XFITIN; V203=GXANGRY; V204=GXTENSE;
V205=AXANGRY;
V206=AXTENSE; V207=GXFUN; V208=GXFITIN; V209=UNGOLD;
/LMTEST
/EQUATIONS
V12 = *F3 +
E12;
V13 = *F3 +
E13;
V14 = *F3 +
E14;
V19 = *F2 +
*V12 + *V38 + E19;
V23 = *F1 +
E23;
V38 = *F3 +
E38;
V43 = 1F1 +
*V14 + E43;
V47 = *F1 +
*V38 + E47;
V56 = *F2 +
E56;
V57 = 1F2 +
E57;
V63 = *F1 +
*V13 + E63;
V90 = *F2 +
E90;
F1 = *F2 +
*F3 + D1;
F2 = *F3 +
D2;
/VARIANCES
F3 = 1;
E12 = *;
E13 = *;
E14 = *;
E19 = *;
E23 = *;
E38 = *;
E43 = *;
E47 = *;
E56 = *;
E57 = *;
E63 = *;
E90 = *;
D1 = *;
D2 = *;
/COVARIANCES
E43,E23 = *;
E47,E23 = *;
E47,E43 = *;
E63,E23 = *;
E63,E43 = *;
E63,E47 = *;
/PRINT
FIT=ALL;
TABLE=EQUATION;
/OUTPUT
Parameters;
Standard Errors;
RSquare;
Listing;
DATA='EQSOUT.ETS';
/CON
(1,f1,f3)=(2,f1,f3);
(1,f1,f2)=(2,f1,f2);
/END
The limited output follows:
GOODNESS OF FIT SUMMARY FOR METHOD = ML
INDEPENDENCE
MODEL CHI-SQUARE = 2252.817 ON 132 DEGREES OF FREEDOM
INDEPENDENCE
AIC = 1988.81743 INDEPENDENCE CAIC = 1292.54885
MODEL
AIC = 2.37993 MODEL CAIC = -430.15056
CHI-SQUARE
= 166.380 BASED ON 82
DEGREES OF FREEDOM
PROBABILITY
VALUE FOR THE CHI-SQUARE STATISTIC IS
.00000
FIT INDICES
-----------
BENTLER-BONETT NORMED FIT
INDEX = .926
BENTLER-BONETT NON-NORMED FIT INDEX = .936
COMPARATIVE
FIT INDEX (CFI) =
.960
BOLLEN (IFI) FIT INDEX = .961
MCDONALD
(MFI) FIT INDEX = .924
LISREL GFI
FIT INDEX = .950
LISREL AGFI
FIT INDEX = .904
ROOT
MEAN-SQUARE RESIDUAL (RMR) = .151
STANDARDIZED
RMR = .049
ROOT
MEAN-SQUARE ERROR OF APPROXIMATION (RMSEA)
= .044
90%
CONFIDENCE INTERVAL OF RMSEA ( .034, .054)
The model fits.
And there is no difference between either of the parameters in the two groups.
UNIVARIATE TEST STATISTICS:
NO CONSTRAINT CHI-SQUARE
PROBABILITY
-- ----------- ----------
-----------
1 CONSTR:
1 .034 .853
2 CONSTR:
2 .954 .329
CUMULATIVE MULTIVARIATE STATISTICS UNIVARIATE INCREMENT
---------------------------------- --------------------
STEP PARAMETER
CHI-SQUARE D.F. PROBABILITY CHI-SQUARE PROBABILITY
---- ----------- ----------
---- ----------- ---------- -----------
1 CONSTR:
2 .954 1
.329 .954 .329
2 CONSTR: 1 1.145 2 .564 .190 .663