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Table 3 Inverse Probability of Treatment Weighting (IPTW) diagnostics based on summaries of stabilized weights \(SW_i\) by different specifications of multinomial logistic regressions for the denominator \(\Pr \left( A_i \big | \varvec{L}_i\right)\)

From: Causal effect of chemotherapy received dose intensity on survival outcome: a retrospective study in osteosarcoma

IPTW Specification

Stabilized weights: \(\varvec{SW}_{\varvec{i}}\)

Method

Descriptiona

Mean (s.d.)

Min/Max

IPTW 1

Categorical/binary confounders and binary effect modifier as main effect only; each continuous MOTox score linearly related to the log-odds.

0.988 (0.663)

0.311/5.154

IPTW 2

Same as in IPTW 1 + interaction terms for toxicity confounders linearly related to the log-odds.

0.989 (0.691)

0.334/5.102

IPTW 3

Same as in IPTW 1 + interaction terms between toxicities and trial linearly related to the log-odds.

0.977 (0.685)

0.305/5.245

IPTW 4

Categorical confounders and effect modifier as main effect only; B-spline basis matrix for cubic polynomial splines with three internal knots were used to model the relationship between each continuous MOTox score and the log-odds.

0.969 (0.813)

0.306/7.027

IPTW 5

Same as in IPTW 1 + interaction terms between toxicities and histological response linearly related to the log-odds

0.963 (0.694)

0.279/8.386

  1. aSee Supplementary Material D for further details