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Table 1 Over 500 datasets, average of the complete case estimates, joint modelling imputation estimates and values of β ̄ b , β ̄ c and | β ̄ b - β ̄ c | for the chained equations algorithm and the modified chained equations algorithm, with confidence intervals [mean ± 1 . 96 × (standard deviation ÷ 500)]

From: Joint modelling rationale for chained equations

β β ̂ CCA β ̂ JM   β ̄ b β ̄ c | β ̄ b - β ̄ c |
1 1 · 01 0 · 97 LR 0 · 98 0 · 98 0 · 0040
  [0 · 93,1 · 09] [0 · 89,1 · 05]   [0 · 90,1 · 06] [0 · 90,1 · 06] [0 · 0034,0 · 0046]
    LDA 0 · 97 0 · 97 0 · 0022
     [0 · 89,1 · 05] [0 · 89,1 · 05] [0 · 0020,0 · 0024]
3 3 · 00 2 · 90 LR 2 · 93 2 · 93 0 · 0166
  [2 · 91,3 · 09] [2 · 82,2 · 98]   [2 · 85,3 · 02] [2 · 85,3v· 02] [0 · 0145,0 · 0188]
    LDA 2 · 89 2 · 89 0 · 0067
     [2 · 81,2 · 98] [2 · 81,2 · 97] [0 · 0062,0 · 0073]
  1.  complete case analysis estimate of β from the observed data only;
  2.  estimate of β from joint modelling imputation;
  3. logistic regression;
  4. ¶ linear discriminant analysis.
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