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@"   `   5  21  EFG/ PQSTTTWZ[\_`bdf iklmost   21 5  <$b$mw>+V#$b$RR5mQ)vڔcMV#2$,.`1 F = 0.0000 Residual | 2579.00563 995 2.59196546 R-squared = 0.3998 -------------+------------------------------ Adj R-squared = 0.3925 Total | 4296.65079 1007 4.26678331 Root MSE = 1.61 R = .63 ------------------------------------------------------------------------------ SOCON l_r | Coef. Std. Err. t P>|t| Beta -------------+---------------------------------------------------------------- urb2 | .0570569 .0379983 1.50 0.134 .0387282 sex | -.156749 .1075442 -1.46 0.145 -.0379609 age | -.0013591 .0043088 -0.32 0.752 -.0087341 class | .3938487 .0834685 4.72 0.000 .1461826 zincome | .0254967 .0627695 0.41 0.685 .0123456 educatio | -.1585475 .0315719 -5.02 0.000 -.1664914 church_a | -.2379957 .0522299 -4.56 0.000 -.1199417 party | .3608413 .0198037 18.22 0.000 .48643 employed | .030681 .1241836 0.25 0.805 .0068578 pm | -.2921879 .1009341 -2.89 0.004 -.0801642 pol_int | .173143 .0716642 2.42 0.016 .0685405 d_proud | -.195067 .0623608 -3.13 0.002 -.0822013 _cons | 4.659597 .5426508 8.59 0.000 . -------------+----------------------------------------------------------------XP5     R    ~  G  N  K  K  G  N U    !GG5H  TThe Imputation equation  DV: Imputed L-R ++ $R squared in 5 imputations range from Rsq=.39 to Rsq=.43. Multiple imputation parameter estimates (5 imputations) ------------------------------------------------------------------------------ l_r_Imputed | Coef. Std. Err. t P>|t| comparison with SOCON -------------+---------------------------------------------------------------- urb2 | .0750759 .0254447 2.95 0.003 became sig. sex | -.1851431 .1260133 -1.47 0.142 almost identical age | .0009682 .0037543 0.26 0.797 almost identical class | .3853003 .0718502 5.36 0.000 almost identical zincome | .0022461 .0421326 0.05 0.957 almost identical educatio | -.1453613 .0223744 -6.50 0.000 almost identical church_a | -.2166528 .0648066 -3.34 0.001 almost identical party | .3906498 .0247788 15.77 0.000 almost identical employed | .011624 .0950614 0.12 0.903 almost identical pm | -.3594543 .0790244 -4.55 0.000 increased a bit pol_int | .1972884 .101904 1.94 0.053 cf. incr., sig.dropped d_proud | -.243719 .0534851 -4.56 0.000 increased a bit _cons | 4.610467 .5392112 8.55 0.000 ------------------------------------------------------------------------------ 3178 observations (imputation 1). -------------+----------------------------------------------------------------P:. >  D U E K J  & CC$8 9ARelationships with variables NOT included in the imputation model"BA 'Correlations with attitudinal variables(( 'Correlations with attitudinal variables(('Correlations with attitudinal variables((   !"#Summary$  Coefficients associated with the imputed variables are lower in magnitude. Correction for attenuation helps. In a number of cases even quite low correlations were correctly predicted. In a single case the imputed variable showed a significant relationship when the original variable showed an insignificant coefficient. Using the imputed variable one is in danger of making Type II error, much less Type I error. *&xm 2$Problems to consider $Large proportion of missing values - use several  predictive data files for the imputation. Small number of  predictive variables. If the  imputationist and analyst are not the same person, the analyst may be interested in relationships unaccounted by the imputation model. Imputation is done between different data sets - the major departure from the usual practice of the MI procedures.z]ZZ)ZZZZtZ-ZB] )  % Conclusion   The imputed variable strongly correlates with the  real responses (r is around .40, without correction for attenuation). Multivariate model, using the variables from the prediction model, showed very close results if one used the imputed or original variables. Univariate relationships with a broad set of attitudinal variables showed that by using imputed variable one is in danger of wrongly supporting the null-hypothesis, and underestimating the strength of the relationships. The proposed method seems applicable especially in pilot-studies, and in studies using multiple surveys where particular questions are omitted from some studies. Transfer of data between different sources through MI approach seems to be a reasonable alternative to aggregation. 8PE&  &/(   0` f̙f` \'݉f̙ft` 3v;̙3fff` Q%]m6fft` JU;f̙ft` fffff` f33f̙f3` fff̙>?" dd@,?pKd@n pA@d`hP n?" dd@   @@``PT    @ ` `:p>> LD (    64{ " `}  T Click to edit Master title style! !$  04 " `  RClick to edit Master text styles Second level Third level Fourth level Fifth level!     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