deletions | additions       diff --git a/Training.tex b/Training.tex  index edf3fae..8370fad 100644  --- a/Training.tex  +++ b/Training.tex 
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In Figure \ref{fig:crosstrain} we specifically focus on the training of survey participants who, in the previous questions, said that they primarily write their own software (``My own'' option, $\sim33\%$ of the sample). Overall, $40\pm3\%$ of those participants have received no training and $89\pm5\%$ have received at best a little bit of training. The results for this subset are consistent with the answers from the full sample within the error bars, i.e. astronomers who primarily write their own software do not have more training in software development than everyone else. The results are similar if we also considered the participants who write some of their software (``Both'' option). This is of particular importance because it implies that many astronomers have little to no training in an activity that is a major part of their research work, despite the fact that they nearly always have many years of post-secondary education during which they could have received such training.  In Figure \ref{fig:train2} we show the breakdown of answers across as a function of  research areas. area.  The trends remain the same across all fields. The breakdown by country (Figure \ref{fig:train3}) shows that the results are similar internationally. The fraction of astronomers with significant training is largely independent of geography. Some geographical variations exist in the fraction of participants who have at least a little training: the USA has the largest fraction with training: $55\pm3\%$, while Australia has the smallest with $35\pm7\%$. Based on these results, we speculate that opportunities to receive at least a little bit of training are more available at US institutions or that more US researches seek out such opportunities.   In conclusion, across all career levels, research areas and countries, only a small fraction of astronomy researchers receive significant training in software development. The lack of a strong trend with career level may indicate that significant training only occurs at the undergraduate level (and some participants left comments to that effect). While graduate students are more likely to have had a little training, it seems that few graduate programs offer and/or require CS courses. Overall, $\sim90\%$ of the survey participants have received only a little bit of training at best, despite \emph{all} being software users, and most being writers of their own software.  
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