IBM SPSS Web Report - SPSS_Output_lesson20.spv Contents
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DATASETÂ ACTIVATEÂ DataSet1.
SAVEÂ OUTFILE='C:\MyGithub\N736Fall2017_lesson20\helpmkh.sav'
  /COMPRESSED.
*Â Encoding:Â UTF-8.
*Â ============================================.
*Â N736Â -Â LESSONÂ 20
* Poisson Regression and Negative Binomial Regression
*
* Melinda Higgins, PhD
* dated 11/5/2017
*
* working with the helpmkh dataset
*Â ============================================.
*Â ============================================.
* look at distribution of d1
* number of times hospitalized for medical problems
* this is a good count variable
* check mean and standard deviation
* SD > mean indicates overdispersion
*Â ============================================.
FREQUENCIESÂ VARIABLES=d1
  /NTILES=4
  /STATISTICS=STDDEV MINIMUM MAXIMUM MEAN
  /HISTOGRAM
  /ORDER=ANALYSIS.
|
||||
N | Valid | 453 | ||
Missing | 0 | |||
Mean | 3.06 | |||
Std. Deviation | 6.188 | |||
Minimum | 0 | |||
Maximum | 100 | |||
Percentiles | 25 | 1.00 | ||
50 | 2.00 | |||
75 | 3.50 | |||
Frequency | Percent | Valid Percent | Cumulative Percent | ||
Valid | 0 | 92 | 20.3 | 20.3 | 20.3 |
1 | 120 | 26.5 | 26.5 | 46.8 | |
2 | 92 | 20.3 | 20.3 | 67.1 | |
3 | 36 | 7.9 | 7.9 | 75.1 | |
4 | 37 | 8.2 | 8.2 | 83.2 | |
5 | 18 | 4.0 | 4.0 | 87.2 | |
6 | 12 | 2.6 | 2.6 | 89.8 | |
7 | 5 | 1.1 | 1.1 | 90.9 | |
8 | 11 | 2.4 | 2.4 | 93.4 | |
9 | 2 | .4 | .4 | 93.8 | |
10 | 11 | 2.4 | 2.4 | 96.2 | |
12 | 1 | .2 | .2 | 96.5 | |
13 | 1 | .2 | .2 | 96.7 | |
14 | 2 | .4 | .4 | 97.1 | |
15 | 3 | .7 | .7 | 97.8 | |
17 | 1 | .2 | .2 | 98.0 | |
20 | 5 | 1.1 | 1.1 | 99.1 | |
22 | 1 | .2 | .2 | 99.3 | |
36 | 1 | .2 | .2 | 99.6 | |
40 | 1 | .2 | .2 | 99.8 | |
100 | 1 | .2 | .2 | 100.0 | |
Total | 453 | 100.0 | 100.0 | ||
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*Â ============================================.
* look at correlations of d1 with demographics
* and other predictors - we'll focus on pcs
*Â ============================================.
CORRELATIONS
  /VARIABLES=d1 age female pss_fr pcs mcs indtot sexrisk
  /PRINT=TWOTAIL NOSIG
  /MISSING=PAIRWISE.
d1 How many times hospitalized for medical problems (lifetime) | age Age at baseline (in years) | female Gender of respondent | pss_fr Perceived Social Support - friends | pcs SF36 Physical Composite Score - Baseline | mcs SF36 Mental Composite Score - Baseline | indtot Inventory of Drug Use Consequences (InDue) total score - Baseline | sexrisk Risk Assessment Battery (RAB) sex risk score - Baseline | |||
d1 How many times hospitalized for medical problems (lifetime) | Pearson Correlation | 1 | .161** | .038 | -.048 | -.258** | -.093* | .032 | .036 | |
Sig. (2-tailed) | .001 | .415 | .310 | .000 | .049 | .492 | .442 | |||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||
age Age at baseline (in years) | Pearson Correlation | .161** | 1 | .043 | .080 | -.229** | .045 | .026 | -.120* | |
Sig. (2-tailed) | .001 | .358 | .088 | .000 | .343 | .575 | .011 | |||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||
female Gender of respondent | Pearson Correlation | .038 | .043 | 1 | .067 | -.157** | -.119* | -.261** | .092 | |
Sig. (2-tailed) | .415 | .358 | .155 | .001 | .011 | .000 | .052 | |||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||
pss_fr Perceived Social Support - friends | Pearson Correlation | -.048 | .080 | .067 | 1 | .077 | .138** | -.198** | -.113* | |
Sig. (2-tailed) | .310 | .088 | .155 | .104 | .003 | .000 | .016 | |||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||
pcs SF36 Physical Composite Score - Baseline | Pearson Correlation | -.258** | -.229** | -.157** | .077 | 1 | .110* | -.135** | .024 | |
Sig. (2-tailed) | .000 | .000 | .001 | .104 | .019 | .004 | .612 | |||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||
mcs SF36 Mental Composite Score - Baseline | Pearson Correlation | -.093* | .045 | -.119* | .138** | .110* | 1 | -.381** | -.106* | |
Sig. (2-tailed) | .049 | .343 | .011 | .003 | .019 | .000 | .024 | |||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||
indtot Inventory of Drug Use Consequences (InDue) total score - Baseline | Pearson Correlation | .032 | .026 | -.261** | -.198** | -.135** | -.381** | 1 | .113* | |
Sig. (2-tailed) | .492 | .575 | .000 | .000 | .004 | .000 | .016 | |||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||
sexrisk Risk Assessment Battery (RAB) sex risk score - Baseline | Pearson Correlation | .036 | -.120* | .092 | -.113* | .024 | -.106* | .113* | 1 | |
Sig. (2-tailed) | .442 | .011 | .052 | .016 | .612 | .024 | .016 | |||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||
**. Correlation is significant at the 0.01 level (2-tailed). | ||||||||||
*. Correlation is significant at the 0.05 level (2-tailed). | ||||||||||
NONPARÂ CORR
  /VARIABLES=d1 age female pss_fr pcs mcs indtot sexrisk
  /PRINT=BOTH TWOTAIL NOSIG
  /MISSING=PAIRWISE.
d1 How many times hospitalized for medical problems (lifetime) | age Age at baseline (in years) | female Gender of respondent | pss_fr Perceived Social Support - friends | pcs SF36 Physical Composite Score - Baseline | mcs SF36 Mental Composite Score - Baseline | indtot Inventory of Drug Use Consequences (InDue) total score - Baseline | sexrisk Risk Assessment Battery (RAB) sex risk score - Baseline | |||||
Kendall's tau_b | d1 How many times hospitalized for medical problems (lifetime) | Correlation Coefficient | 1.000 | .162** | .100* | -.069* | -.238** | -.141** | .124** | .051 | ||
Sig. (2-tailed) | . | .000 | .016 | .048 | .000 | .000 | .000 | .152 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
age Age at baseline (in years) | Correlation Coefficient | .162** | 1.000 | .033 | .043 | -.139** | .020 | .045 | -.077* | |||
Sig. (2-tailed) | .000 | . | .398 | .198 | .000 | .533 | .166 | .022 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
female Gender of respondent | Correlation Coefficient | .100* | .033 | 1.000 | .054 | -.138** | -.099* | -.216** | .047 | |||
Sig. (2-tailed) | .016 | .398 | . | .178 | .000 | .010 | .000 | .240 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
pss_fr Perceived Social Support - friends | Correlation Coefficient | -.069* | .043 | .054 | 1.000 | .047 | .088** | -.133** | -.100** | |||
Sig. (2-tailed) | .048 | .198 | .178 | . | .147 | .007 | .000 | .003 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
pcs SF36 Physical Composite Score - Baseline | Correlation Coefficient | -.238** | -.139** | -.138** | .047 | 1.000 | .089** | -.092** | .021 | |||
Sig. (2-tailed) | .000 | .000 | .000 | .147 | . | .005 | .004 | .530 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
mcs SF36 Mental Composite Score - Baseline | Correlation Coefficient | -.141** | .020 | -.099* | .088** | .089** | 1.000 | -.238** | -.074* | |||
Sig. (2-tailed) | .000 | .533 | .010 | .007 | .005 | . | .000 | .024 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
indtot Inventory of Drug Use Consequences (InDue) total score - Baseline | Correlation Coefficient | .124** | .045 | -.216** | -.133** | -.092** | -.238** | 1.000 | .088** | |||
Sig. (2-tailed) | .000 | .166 | .000 | .000 | .004 | .000 | . | .009 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
sexrisk Risk Assessment Battery (RAB) sex risk score - Baseline | Correlation Coefficient | .051 | -.077* | .047 | -.100** | .021 | -.074* | .088** | 1.000 | |||
Sig. (2-tailed) | .152 | .022 | .240 | .003 | .530 | .024 | .009 | . | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
Spearman's rho | d1 How many times hospitalized for medical problems (lifetime) | Correlation Coefficient | 1.000 | .220** | .114* | -.095* | -.327** | -.199** | .166** | .069 | ||
Sig. (2-tailed) | . | .000 | .015 | .043 | .000 | .000 | .000 | .141 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
age Age at baseline (in years) | Correlation Coefficient | .220** | 1.000 | .040 | .062 | -.207** | .029 | .066 | -.110* | |||
Sig. (2-tailed) | .000 | . | .399 | .190 | .000 | .541 | .163 | .019 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
female Gender of respondent | Correlation Coefficient | .114* | .040 | 1.000 | .063 | -.169** | -.121* | -.258** | .055 | |||
Sig. (2-tailed) | .015 | .399 | . | .178 | .000 | .010 | .000 | .241 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
pss_fr Perceived Social Support - friends | Correlation Coefficient | -.095* | .062 | .063 | 1.000 | .067 | .126** | -.185** | -.137** | |||
Sig. (2-tailed) | .043 | .190 | .178 | . | .157 | .007 | .000 | .004 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
pcs SF36 Physical Composite Score - Baseline | Correlation Coefficient | -.327** | -.207** | -.169** | .067 | 1.000 | .144** | -.134** | .031 | |||
Sig. (2-tailed) | .000 | .000 | .000 | .157 | . | .002 | .004 | .514 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
mcs SF36 Mental Composite Score - Baseline | Correlation Coefficient | -.199** | .029 | -.121* | .126** | .144** | 1.000 | -.343** | -.104* | |||
Sig. (2-tailed) | .000 | .541 | .010 | .007 | .002 | . | .000 | .027 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
indtot Inventory of Drug Use Consequences (InDue) total score - Baseline | Correlation Coefficient | .166** | .066 | -.258** | -.185** | -.134** | -.343** | 1.000 | .126** | |||
Sig. (2-tailed) | .000 | .163 | .000 | .000 | .004 | .000 | . | .007 | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
sexrisk Risk Assessment Battery (RAB) sex risk score - Baseline | Correlation Coefficient | .069 | -.110* | .055 | -.137** | .031 | -.104* | .126** | 1.000 | |||
Sig. (2-tailed) | .141 | .019 | .241 | .004 | .514 | .027 | .007 | . | ||||
N | 453 | 453 | 453 | 453 | 453 | 453 | 453 | 453 | ||||
**. Correlation is significant at the 0.01 level (2-tailed). | ||||||||||||
*. Correlation is significant at the 0.05 level (2-tailed). | ||||||||||||
*Â ============================================.
* run Poisson regression - intercept only model
* this is the NULL model - no predictors
*Â ============================================.
* Generalized Linear Models.
GENLINÂ d1
  /MODEL INTERCEPT=YES
 DISTRIBUTION=POISSON LINK=LOG
  /CRITERIA METHOD=FISHER(1) SCALE=1 COVB=MODEL MAXITERATIONS=100 MAXSTEPHALVING=5
    PCONVERGE=1E-006(ABSOLUTE) SINGULAR=1E-012 ANALYSISTYPE=3(WALD) CILEVEL=95 CITYPE=WALD
    LIKELIHOOD=FULL
  /MISSING CLASSMISSING=EXCLUDE
  /PRINT CPS DESCRIPTIVES MODELINFO FIT SUMMARY SOLUTION (EXPONENTIATED).
Dependent Variable | d1 How many times hospitalized for medical problems (lifetime) |
Probability Distribution | Poisson |
Link Function | Log |
N | Percent | |
Included | 453 | 100.0% |
Excluded | 0 | 0.0% |
Total | 453 | 100.0% |
N | Minimum | Maximum | Mean | Std. Deviation | ||
Dependent Variable | d1 How many times hospitalized for medical problems (lifetime) | 453 | 0 | 100 | 3.06 | 6.188 |
Value | df | Value/df | |
Deviance | 2261.889 | 452 | 5.004 |
Scaled Deviance | 2261.889 | 452 | |
Pearson Chi-Square | 5656.091 | 452 | 12.513 |
Scaled Pearson Chi-Square | 5656.091 | 452 | |
Log Likelihoodb | -1638.126 | ||
Akaike's Information Criterion (AIC) | 3278.252 | ||
Finite Sample Corrected AIC (AICC) | 3278.261 | ||
Bayesian Information Criterion (BIC) | 3282.368 | ||
Consistent AIC (CAIC) | 3283.368 | ||
Dependent Variable: How many times hospitalized for medical problems (lifetime) Model: (Intercept) |
|||
a. Information criteria are in smaller-is-better form. | |||
b. The full log likelihood function is displayed and used in computing information criteria. | |||
Likelihood Ratio Chi-Square | df | Sig. |
.000 | . | . |
Dependent Variable: How many times hospitalized for medical problems (lifetime) Model: (Intercept) |
||
a. Compares the fitted model against the intercept-only model. | ||
Source | Type III | ||
Wald Chi-Square | df | Sig. | |
(Intercept) | 1733.278 | 1 | .000 |
Dependent Variable: How many times hospitalized for medical problems (lifetime) Model: (Intercept) |
|||
Parameter | B | Std. Error | 95% Wald Confidence Interval | Hypothesis Test | Exp(B) | 95% Wald Confidence Interval for Exp(B) | ||||
Lower | Upper | Wald Chi-Square | df | Sig. | Lower | Upper | ||||
(Intercept) | 1.118 | .0269 | 1.066 | 1.171 | 1733.278 | 1 | .000 | 3.060 | 2.903 | 3.225 |
(Scale) | 1a | |||||||||
Dependent Variable: How many times hospitalized for medical problems (lifetime) Model: (Intercept) |
||||||||||
a. Fixed at the displayed value. | ||||||||||
*Â ============================================.
* Poisson Regression - pcs as predictor for d1
*Â ============================================.
* Generalized Linear Models.
GENLINÂ d1Â WITHÂ pcs
  /MODEL pcs INTERCEPT=YES
 DISTRIBUTION=POISSON LINK=LOG
  /CRITERIA METHOD=FISHER(1) SCALE=1 COVB=MODEL MAXITERATIONS=100 MAXSTEPHALVING=5
    PCONVERGE=1E-006(ABSOLUTE) SINGULAR=1E-012 ANALYSISTYPE=3(WALD) CILEVEL=95 CITYPE=WALD
    LIKELIHOOD=FULL
  /MISSING CLASSMISSING=EXCLUDE
  /PRINT CPS DESCRIPTIVES MODELINFO FIT SUMMARY SOLUTION (EXPONENTIATED).
Dependent Variable | d1 How many times hospitalized for medical problems (lifetime) |
Probability Distribution | Poisson |
Link Function | Log |
N | Percent | |
Included | 453 | 100.0% |
Excluded | 0 | 0.0% |
Total | 453 | 100.0% |
N | Minimum | Maximum | Mean | Std. Deviation | ||
Dependent Variable | d1 How many times hospitalized for medical problems (lifetime) | 453 | 0 | 100 | 3.06 | 6.188 |
Covariate | pcs SF36 Physical Composite Score - Baseline | 453 | 14.0742912292480 | 74.8063278198242 | 48.048541551131024 | 10.784602685414228 |
Value | df | Value/df | |
Deviance | 1899.702 | 451 | 4.212 |
Scaled Deviance | 1899.702 | 451 | |
Pearson Chi-Square | 3178.676 | 451 | 7.048 |
Scaled Pearson Chi-Square | 3178.676 | 451 | |
Log Likelihoodb | -1457.032 | ||
Akaike's Information Criterion (AIC) | 2918.065 | ||
Finite Sample Corrected AIC (AICC) | 2918.091 | ||
Bayesian Information Criterion (BIC) | 2926.296 | ||
Consistent AIC (CAIC) | 2928.296 | ||
Dependent Variable: How many times hospitalized for medical problems (lifetime) Model: (Intercept), pcs |
|||
a. Information criteria are in smaller-is-better form. | |||
b. The full log likelihood function is displayed and used in computing information criteria. | |||
Likelihood Ratio Chi-Square | df | Sig. |
362.187 | 1 | .000 |
Dependent Variable: How many times hospitalized for medical problems (lifetime) Model: (Intercept), pcs |
||
a. Compares the fitted model against the intercept-only model. | ||
Source | Type III | ||
Wald Chi-Square | df | Sig. | |
(Intercept) | 916.659 | 1 | .000 |
pcs | 365.062 | 1 | .000 |
Dependent Variable: How many times hospitalized for medical problems (lifetime) Model: (Intercept), pcs |
|||
Parameter | B | Std. Error | 95% Wald Confidence Interval | Hypothesis Test | Exp(B) | 95% Wald Confidence Interval for Exp(B) | ||||
Lower | Upper | Wald Chi-Square | df | Sig. | Lower | Upper | ||||
(Intercept) | 3.206 | .1059 | 2.998 | 3.414 | 916.659 | 1 | .000 | 24.679 | 20.054 | 30.372 |
pcs | -.046 | .0024 | -.051 | -.041 | 365.062 | 1 | .000 | .955 | .950 | .959 |
(Scale) | 1a | |||||||||
Dependent Variable: How many times hospitalized for medical problems (lifetime) Model: (Intercept), pcs |
||||||||||
a. Fixed at the displayed value. | ||||||||||
*Â ============================================.
* Negative Binomial Regression - pcs as predictor for d1
* compare goodness of fit stats
*Â ============================================.
* Generalized Linear Models.
GENLINÂ d1Â WITHÂ pcs
  /MODEL pcs INTERCEPT=YES
 DISTRIBUTION=NEGBIN(MLE) LINK=LOG
  /CRITERIA METHOD=FISHER(1) SCALE=1 COVB=MODEL MAXITERATIONS=100 MAXSTEPHALVING=5
    PCONVERGE=1E-006(ABSOLUTE) SINGULAR=1E-012 ANALYSISTYPE=3(WALD) CILEVEL=95 CITYPE=WALD
    LIKELIHOOD=FULL
  /MISSING CLASSMISSING=EXCLUDE
  /PRINT CPS DESCRIPTIVES MODELINFO FIT SUMMARY SOLUTION (EXPONENTIATED).
Dependent Variable | d1 How many times hospitalized for medical problems (lifetime) |
Probability Distribution | Negative binomial (MLE) |
Link Function | Log |
N | Percent | |
Included | 453 | 100.0% |
Excluded | 0 | 0.0% |
Total | 453 | 100.0% |
N | Minimum | Maximum | Mean | Std. Deviation | ||
Dependent Variable | d1 How many times hospitalized for medical problems (lifetime) | 453 | 0 | 100 | 3.06 | 6.188 |
Covariate | pcs SF36 Physical Composite Score - Baseline | 453 | 14.0742912292480 | 74.8063278198242 | 48.048541551131024 | 10.784602685414228 |
Value | df | Value/df | |
Deviance | 475.653 | 450 | 1.057 |
Scaled Deviance | 475.653 | 450 | |
Pearson Chi-Square | 730.027 | 450 | 1.622 |
Scaled Pearson Chi-Square | 730.027 | 450 | |
Log Likelihoodb | -984.664 | ||
Akaike's Information Criterion (AIC) | 1975.329 | ||
Finite Sample Corrected AIC (AICC) | 1975.382 | ||
Bayesian Information Criterion (BIC) | 1987.676 | ||
Consistent AIC (CAIC) | 1990.676 | ||
Dependent Variable: How many times hospitalized for medical problems (lifetime) Model: (Intercept), pcs |
|||
a. Information criteria are in smaller-is-better form. | |||
b. The full log likelihood function is displayed and used in computing information criteria. | |||
Likelihood Ratio Chi-Square | df | Sig. |
80.697 | 1 | .000 |
Dependent Variable: How many times hospitalized for medical problems (lifetime) Model: (Intercept), pcs |
||
a. Compares the fitted model against the intercept-only model. | ||
Source | Type III | ||
Wald Chi-Square | df | Sig. | |
(Intercept) | 180.959 | 1 | .000 |
pcs | 83.302 | 1 | .000 |
Dependent Variable: How many times hospitalized for medical problems (lifetime) Model: (Intercept), pcs |
|||
Parameter | B | Std. Error | 95% Wald Confidence Interval | Hypothesis Test | Exp(B) | 95% Wald Confidence Interval for Exp(B) | ||||
Lower | Upper | Wald Chi-Square | df | Sig. | Lower | Upper | ||||
(Intercept) | 3.127 | .2324 | 2.671 | 3.582 | 180.959 | 1 | .000 | 22.796 | 14.455 | 35.950 |
pcs | -.044 | .0049 | -.054 | -.035 | 83.302 | 1 | .000 | .957 | .948 | .966 |
(Scale) | 1a | |||||||||
(Negative binomial) | .910 | .0855 | .757 | 1.094 | ||||||
Dependent Variable: How many times hospitalized for medical problems (lifetime) Model: (Intercept), pcs |
||||||||||
a. Fixed at the displayed value. | ||||||||||
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Chart Size - Change the height and width of the chart | |
Background color - The background color of the selected object. | |
Border and Line Style - The color and thickness of the line or border. | |
Text Color and Style - Font color, style, and size. | |
Number Format - Font color, style, and size. | |
Axis Properties - Change the scale and display axis titles and ticks. |
Lock aspect ratio |
0.00 |
Display Axis Title | |||
Display Ticks |