This page is hosted on AFS file server space, which is being shut down on November 13, 2018. If you are seeing this message, your service provider needs to take steps now. Visit afs.unc.edu for more information.

REPLICATION OF YULE'S 1899 ANALYSIS OF THE EFFECT OF CHANGE IN OUT-RELIEF RATIO ON CHANGE IN PAUPERISM 1871-1881 (32 LONDON METROPOLITAN UNIONS)

(Full sample is used; no correction for outlying or influential observations)

>USE "Z:\mydocs\ys209\yule.syd"
SYSTAT Rectangular file Z:\mydocs\ys209\yule.syd,
created Wed Feb 17, 1999 at 09:34:32, contains variables:
 UNION$       PAUP         OUTRATIO     PROPOLD      POP

>regress
>format 3
>rem Model 1
>model paup=constant+outratio
>estimate

Dep Var: PAUP   N: 32   Multiple R: 0.594   Squared multiple R: 0.353
Adjusted squared multiple R: 0.331   Standard error of estimate: 13.483
 
Effect         Coefficient    Std Error     Std Coef Tolerance     t   P(2 Tail)
CONSTANT            31.089        5.324        0.000      .       5.840    0.000
OUTRATIO             0.765        0.189        0.594     1.000    4.045    0.000
 
Analysis of Variance
Source             Sum-of-Squares   df  Mean-Square     F-ratio       P
Regression              2973.751     1     2973.751      16.359       0.000
Residual                5453.468    30      181.782
 
-------------------------------------------------------------------------------
*** WARNING ***
Case           15 has large leverage   (Leverage =        0.328)
 
Durbin-Watson D Statistic          1.853
First Order Autocorrelation       -0.018

>rem Model 2
>model paup=constant+outratio+propold
>estimate
 
Dep Var: PAUP   N: 32   Multiple R: 0.681   Squared multiple R: 0.464
Adjusted squared multiple R: 0.427   Standard error of estimate: 12.486
 
Effect         Coefficient    Std Error     Std Coef Tolerance     t   P(2 Tail)
CONSTANT           -27.822       24.588        0.000      .      -1.132    0.267
OUTRATIO             0.718        0.176        0.558     0.988    4.075    0.000
PROPOLD              0.606        0.248        0.335     0.988    2.446    0.021
 
Analysis of Variance
Source             Sum-of-Squares   df  Mean-Square     F-ratio       P
Regression              3906.190     2     1953.095      12.528       0.000
Residual                4521.029    29      155.898

-------------------------------------------------------------------------------
*** WARNING ***
Case           15 has large leverage   (Leverage =        0.374)
 
Durbin-Watson D Statistic          1.970
First Order Autocorrelation       -0.051

>rem Model 3
>model paup=constant+outratio+propold+pop
>estimate
 
Dep Var: PAUP   N: 32   Multiple R: 0.835   Squared multiple R: 0.697
Adjusted squared multiple R: 0.665   Standard error of estimate: 9.547
 
Effect         Coefficient    Std Error     Std Coef Tolerance     t   P(2 Tail)
CONSTANT            63.188       27.144        0.000      .       2.328    0.027
OUTRATIO             0.752        0.135        0.584     0.985    5.572    0.000
PROPOLD              0.056        0.223        0.031     0.711    0.249    0.805
POP                 -0.311        0.067       -0.570     0.719   -4.648    0.000
 
Analysis of Variance
Source             Sum-of-Squares   df  Mean-Square     F-ratio       P
Regression              5875.320     3     1958.440      21.488       0.000
Residual                2551.899    28       91.139
 
-------------------------------------------------------------------------------
*** WARNING ***
Case           15 has large leverage   (Leverage =        0.424)
Case           30 is an outlier        (Studentized Residual =        3.618)
 
Durbin-Watson D Statistic          2.344
First Order Autocorrelation       -0.177

>rem Model 4 (trimmed model)
>model paup=constant+outratio+pop
>estimate
 
Dep Var: PAUP   N: 32   Multiple R: 0.835   Squared multiple R: 0.697
Adjusted squared multiple R: 0.676   Standard error of estimate: 9.391
 
Effect         Coefficient    Std Error     Std Coef Tolerance     t   P(2 Tail)
CONSTANT            69.659        7.685        0.000      .       9.065    0.000
OUTRATIO             0.756        0.132        0.587     1.000    5.736    0.000
POP                 -0.320        0.056       -0.586     1.000   -5.730    0.000
 
Analysis of Variance
Source             Sum-of-Squares   df  Mean-Square     F-ratio       P
Regression              5869.672     2     2934.836      33.278       0.000
Residual                2557.547    29       88.191
 
-------------------------------------------------------------------------------
*** WARNING ***
Case           15 has large leverage   (Leverage =        0.420)
Case           30 is an outlier        (Studentized Residual =        3.326)
Case           32 has large leverage   (Leverage =        0.390)
 
Durbin-Watson D Statistic          2.332
First Order Autocorrelation       -0.171



Last modified 6 Feb 2003