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The results reported here are based on our imputed dataset.
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We computed likelihood ratio tests comparing the significance of nested models using models based on one imputed value.
When we exploit the panel data dimension of our data set and estimate linear fixed-effects and nonlinear correlated-random-effects specifications, the estimated coefficient of the union membership dummy is no longer significant at conventional standards in our preferred specifications based on the imputed data sets, but only at the 10%-level in two out of three cases.
Although imputation did not change our primary conclusions, results based on the imputed data should be interpreted with caution.
We will examine the structure and pattern of missing data and, if appropriate, will present a sensitivity analysis based on data imputed using a multiple imputation model.
We also develop diagnostics for checking the fit of the imputation model based on comparing imputed data to nonimputed data.
Effectively, the software emulates the multiple imputation used in our validation which then gives the results based on multiply imputed data reasonable face validity.
Note that our tests for association tended to be conservative, since they were based on haplotypes imputed under the null hypothesis of no association.
The multivariate and descriptive analyses are based on 50 imputed data sets.
To make use of the maximum number of observations, the analyses have been based on multiply imputed datap.
Note that Stata does not compute goodness-of-fit measures after estimation based on multiply imputed data, which is why I use R2 (OLS) and Pseudo-R2 (Logit) from estimates based on single imputed data.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com