Exst7037 Multivariate Analysis Cancorr interpretation Page 1
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1 Exst7037 Multivariate Analysis Cancorr interpretation Page 1 1 *** C03S3D1 ***; 2 ****************************************************************************; 3 *** The data set insulin shows data from nondiabetic patients originally ***; 4 *** reported in Reaven and Miller (1979) and discussed in Rencher (1995).***; 5 *** The following three predictor variables were measured: ***; 6 *** glucose = glucose intolerance ***; 7 *** insulin = insulin response to oral glucose ***; 8 *** resist = insulin resistance ***; 9 *** These following responses were also measured: ***; 10 *** weight = relative weight ***; 11 *** fasting = fasting plasma glucose ***; 12 *** Use the example data to determine whether glucose intolerance, ***; 13 *** insulin response, and insulin resistance predict weight and fasting ***; 14 *** glucose using multivariate multiple ***; 15 ****************************************************************************; 16 dm "output;clear;log;clear"; 17 options ps=256 ls=99 nocenter nodate nonumber nolabel; ods html style=minimal File='C:\EXST7037\Cancorr\C03S3D1.html'; NOTE: Writing HTML Body file: C:\EXST7037\Cancorr\C03S3D1.html 20 Title1 "Analysis of insulin shows data from nondiabetic patients."; Libname amul "C:\EXST7037\Cancorr"; NOTE: Libref AMUL was successfully assigned as follows: Engine: V9 Physical Name: C:\EXST7037\Cancorr proc reg data = amul.insulin ; 25 model Weight Fasting = Glucose Insulin Resist / noprint ; 26 mtest / print canprint ; 27 title 'canonical analysis of insulin data' ; 28 run; 8! quit; NOTE: The PROCEDURE REG printed page 1. NOTE: PROCEDURE REG used (Total process time): real time 0.17 seconds cpu time 0.09 seconds Canonical analysis of insulin data The REG Procedure Model: MODEL1 Multivariate Test 1 Error Matrix (E) Hypothesis Matrix (H) Adjusted Approximate Squared Canonical Canonical Standard Canonical Correlation Correlation Error Correlation
2 Exst7037 Multivariate Analysis Cancorr interpretation Page 2 Test of H0: The canonical correlations in the current row and all that follow are zero Eigenvalues of Inv(E)*H = CanRsq/(1-CanRsq) Likelihood Approximate Eigenvalue Difference Proportion Cumulative Ratio F Value Num DF Den DF Pr > F Multivariate Statistics and F Approximations S=2 M=0 N=19.5 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda Pillai's Trace Hotelling-Lawley Trace Roy's Greatest Root NOTE: F Statistic for Roy's Greatest Root is an upper bound. NOTE: F Statistic for Wilks' Lambda is exact. 1 *** CH03S3D2 ***; 2 *****************************************************************************; 3 *** The following example uses the gamble data set, which is composed of ***; 4 *** data from two instruments that address pathological gambling: ***; 5 *** The first instrument is a 12-item measure developed by Edward Johnson ***; 6 *** that is based on the ten DSM-IV diagnostic criteria for pathological ***; 7 *** gambling. These items are named dsm1-dsm12. ***; 8 *** The second instrument is a 20-item questionnaire developed and used ***; 9 *** by Gamblers Anonymous (GA) to help prospective members decide ***; 10 *** whether they need help. These items are named ga1-ga20. ***; 11 *****************************************************************************; 12 dm "output;clear;log;clear"; 13 options ps=256 ls=99 nocenter nodate nonumber nolabel; ods html style=minimal File='C:\EXST7037\Cancorr\CH03S3D2.html'; NOTE: Writing HTML Body file: C:\EXST7037\Cancorr\CH03S3D2.html 16 Title1 "Analysis of two instruments that address pathological gambling."; 17 Libname amul "C:\EXST7037\Cancorr"; NOTE: Libref AMUL was successfully assigned as follows: Engine: V9 Physical Name: C:\EXST7037\Cancorr data gamble; set amul.gamble; 20 label dsm1 = 'Wished stop thkg re gambling' 21 dsm2 = 'Wished stop thkg re get money' 22 dsm3 = 'Felt need to bet more and more' 23 dsm4 = 'Rely on others for funds' 24 dsm5 = 'Gamble to escape' 25 dsm6 = 'Lie about how much I gamble' 26 dsm7 = 'Relaxing difficult if not gambling' 27 dsm8 = 'Win back money next day' 28 dsm9 = 'Felt I should cut back on gambling' 29 dsm10 = 'Illegal acts to pay for gambling' 30 dsm11 = 'Danger of losing relationship' 31 dsm12 = 'Danger of losing job' 32 ga1 = 'Lost time from work from gambling' 33 ga2 = 'Gambling made home life unhappy' 34 ga3 = 'Gambling affected reputation' 35 ga4 = 'Felt remorse after gambling' 36 ga5 = 'Gamble to get money for debts' 37 ga6 = 'Caused decreased ambition/efficiency' 38 ga7 = 'Felt must return win back losses' 39 ga8 = 'After win want to return win more' 40 ga9 = 'Gambled until last dollar gone' 41 ga10 = 'Borrowed to finance gambling'
3 Exst7037 Multivariate Analysis Cancorr interpretation Page 3 42 ga11 = 'Sold things to finance gambling' 43 ga12 = 'Kept gambling money for gambling' 44 ga13 = 'Gambling->Careless of self/family' 45 ga14 = 'Gambled longer than planned' 46 ga15 = 'Gambled to escape worry/trouble' 47 ga16 = 'Illegal act to finance gambling'; 48 run; NOTE: There were 100 observations read from the data set AMUL.GAMBLE. NOTE: The data set WORK.GAMBLE has 100 observations and 33 variables. NOTE: DATA statement used (Total process time): real time 0.01 seconds cpu time 0.01 seconds title; 51 *Part One; 52 proc cancorr data = amul.gamble 53 vprefix=dsm_ wprefix=ganon 54 vname='dsm IV Questions' wname= 'GA Questions' 55 outstat=out; 56 var DSM1 - DSM12; 57 with GA1 - GA20; 58 run; NOTE: The data set WORK.OUT has 108 observations and 34 variables. NOTE: The PROCEDURE CANCORR printed pages 1-4. NOTE: PROCEDURE CANCORR used (Total process time): real time 0.23 seconds cpu time 0.17 seconds *Part Two; 62 /* In the following run of PROC CANCORR: 63 Use data = out (the outstat data set) to reduce processing time if you 64 do not wish to save canonical scores. 65 Use data = amul.gamble (the original data) to save out canonical scores. */ 66 proc cancorr data = amul.gamble out = gambleout 67 vprefix=dsm_ wprefix=ganon 68 vname='dsm IV Questions' wname= 'GA Questions' 69 NCAN= 4; 70 var DSM1 - DSM12; 71 with GA1 - GA20; 72 run; NOTE: The data set WORK.GAMBLEOUT has 100 observations and 41 variables. NOTE: The PROCEDURE CANCORR printed pages 5-8. NOTE: PROCEDURE CANCORR used (Total process time): real time 0.07 seconds cpu time 0.04 seconds
4 Exst7037 Multivariate Analysis Cancorr interpretation Page 4 The CANCORR Procedure Canonical Correlation Analysis Adjusted Approximate Squared Canonical Canonical Standard Canonical Correlation Correlation Error Correlation Test of H0: The canonical correlations in the current row and all that follow are zero Eigenvalues of Inv(E)*H = CanRsq/(1-CanRsq) Likelihood Approximate Eigenvalue Difference Proportion Cumulative Ratio F Value Num DF Den DF Pr > F < < < <
5 Exst7037 Multivariate Analysis Cancorr interpretation Page 5 The CANCORR Procedure Multivariate Statistics and F Approximations S=12 M=3.5 N=33 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda <.0001 Pillai's Trace <.0001 Hotelling-Lawley Trace <.0001 Roy's Greatest Root <.0001 NOTE: F Statistic for Roy's Greatest Root is an upper bound. Canonical Correlation Analysis Raw Canonical Coefficients for the DSM IV Questions DSM_1 DSM_2 DSM_3 DSM_4 DSM_5 DSM_6 dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm Raw Canonical Coefficients for the DSM IV Questions DSM_7 DSM_8 DSM_9 DSM_10 DSM_11 DSM_12 dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm Raw Canonical Coefficients for the GA Questions GANON1 GANON2 GANON3 GANON4 GANON5 GANON6 ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga
6 Exst7037 Multivariate Analysis Cancorr interpretation Page 6 Raw Canonical Coefficients for the GA Questions GANON7 GANON8 GANON9 GANON10 GANON11 GANON12 ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga Canonical Correlation Analysis Standardized Canonical Coefficients for the DSM IV Questions DSM_1 DSM_2 DSM_3 DSM_4 DSM_5 DSM_6 dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm Standardized Canonical Coefficients for the DSM IV Questions DSM_7 DSM_8 DSM_9 DSM_10 DSM_11 DSM_12 dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm Standardized Canonical Coefficients for the GA Questions GANON1 GANON2 GANON3 GANON4 GANON5 GANON6 ga ga ga ga ga ga ga ga ga
7 Exst7037 Multivariate Analysis Cancorr interpretation Page 7 ga ga ga ga ga ga ga ga ga ga ga Standardized Canonical Coefficients for the GA Questions GANON7 GANON8 GANON9 GANON10 GANON11 GANON12 ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga Canonical Structure Correlations Between the DSM IV Questions and Their Canonical Variables DSM_1 DSM_2 DSM_3 DSM_4 DSM_5 DSM_6 dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm Correlations Between the DSM IV Questions and Their Canonical Variables DSM_7 DSM_8 DSM_9 DSM_10 DSM_11 DSM_12 dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm
8 Exst7037 Multivariate Analysis Cancorr interpretation Page 8 Correlations Between the GA Questions and Their Canonical Variables GANON1 GANON2 GANON3 GANON4 GANON5 GANON6 ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga Correlations Between the GA Questions and Their Canonical Variables GANON7 GANON8 GANON9 GANON10 GANON11 GANON12 ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga Correlations Between the DSM IV Questions and the Canonical Variables of the GA Questions GANON1 GANON2 GANON3 GANON4 GANON5 GANON6 dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm
9 Exst7037 Multivariate Analysis Cancorr interpretation Page 9 Correlations Between the DSM IV Questions and the Canonical Variables of the GA Questions GANON7 GANON8 GANON9 GANON10 GANON11 GANON12 dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm dsm Correlations Between the GA Questions and the Canonical Variables of the DSM IV Questions DSM_1 DSM_2 DSM_3 DSM_4 DSM_5 DSM_6 a ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga Correlations Between the GA Questions and the Canonical Variables of the DSM IV Questions DSM_7 DSM_8 DSM_9 DSM_10 DSM_11 DSM_12 ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga ga
10 Exst7037 Multivariate Analysis Cancorr interpretation Page 10 Coeffficients: Standardized Canonical Coefficients for the DSM IV Questions Variable DSM_1 DSM_2 DSM_3 DSM_4 Question dsm Wished stop thkg re gambling dsm Wished stop thkg re get money dsm Felt need to bet more and more dsm Rely on others for funds dsm Gamble to escape dsm Lie about how much I gamble dsm Relaxing difficult if not gambling dsm Win back money next day dsm Felt I should cut back on gambling dsm Illegal acts to pay for gambling dsm Danger of losing relationship dsm Danger of losing job Coeffficients: Correlations Between the GA Questions and Their Canonical Variables Variable GANON1 GANON2 GANON3 GANON4 Question ga Lost time from work from gambling ga Gambling made home life unhappy ga Gambling affected reputation ga Felt remorse after gambling ga Gamble to get money for debts ga Caused decreased ambition/efficiency ga Felt must return win back losses ga After win want to return win more ga Gambled until last dollar gone ga Borrowed to finance gambling ga Sold things to finance gambling ga Kept gambling money for gambling ga Gambling->Careless of self/family ga Gambled longer than planned ga Gambled to escape worry/trouble ga Illegal act to finance gambling; ga Lost time from work from gambling ga Gambling made home life unhappy ga Gambling affected reputation ga Felt remorse after gambling
11 Exst7037 Multivariate Analysis Cancorr interpretation Page 11 Canonical Structure: Correlations Between the DSM IV Questions and Their Canonical Variables Variable DSM_1 DSM_2 DSM_3 DSM_4 Question dsm Wished stop thkg re gambling dsm Wished stop thkg re get money dsm Felt need to bet more and more dsm Rely on others for funds dsm Gamble to escape dsm Lie about how much I gamble dsm Relaxing difficult if not gambling dsm Win back money next day dsm Felt I should cut back on gambling dsm Illegal acts to pay for gambling dsm Danger of losing relationship dsm Danger of losing job Canonical Structure: Correlations Between the GA Questions and Their Canonical Variables Variable GANON1 GANON2 GANON3 GANON4 Question ga Lost time from work from gambling ga Gambling made home life unhappy ga Gambling affected reputation ga Felt remorse after gambling ga Gamble to get money for debts ga Caused decreased ambition/efficiency ga Felt must return win back losses ga After win want to return win more ga Gambled until last dollar gone ga Borrowed to finance gambling ga Sold things to finance gambling ga Kept gambling money for gambling ga Gambling->Careless of self/family ga Gambled longer than planned ga Gambled to escape worry/trouble ga Illegal act to finance gambling; ga Lost time from work from gambling ga Gambling made home life unhappy ga Gambling affected reputation ga Felt remorse after gambling
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