When we do a clinical trial in which we randomize for one variable, say adding pretransplant anti-thymocyte globulin (ATG), and we see a benefit, say less graft-versus-host disease (GvHD), most people assume receiving ATG caused the benefit. This reasoning, termed causal inference, is common but wrong. Reasons why is described in the accompanying typescript. What we observe is an association or correlation between ATG and less GvHD, not necessarily the cause. This incorrect reasoning is referred to as the association-causation fallacy. A good example is the correlation between US per capita cheese consumption and deaths by strangulation from bedsheets with a Pearson correlation coefficient of 0.95 (see below). This and other problems of human cognition can be found in Thinking, Fast and Slow by Daniel Kahneman. How can we reconcile this discordance between the goal of the clinical trialist who wants to know why GvHD is decreased and the rigor of the statistician? In the following typescript Zheng and colleagues describe the difference between causality and association. They describe statistical methods by which we can plausibly infer causality to results of a randomized clinical trial. We hope this typescript and others will prompt a dialogue between readers and statisticians interested in analyses of data from clinical trials of haematopoietic cell transplants. We welcome comments at #BMTStats.