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Historical Statistics (Data Series 140), real prices in constant 1998 US$; World Bank Pink Sheet for coal and natural gas, deflated onto the same basis.","retraction":"The first version of this page reported a mean best-host correlation of ~0.29 and named palladium, gallium, germanium, helium and rare earths as beating the control. That is withdrawn. The control (r_host - r_base) was not a control \u2014 subtracting two correlations is not residualisation. With a valid PARTIAL correlation the mean falls from 0.27 to 0.03, and only 1 pair clears significance. The 0.29 was never significant either: at n~21 the 5% critical correlation is 0.44. And the test targeted the wrong channel: joint production is a claim about the host's OUTPUT, not its price. Run on output, it finds nothing.","verdict":"Companion prices track the GENERAL commodity cycle, not their specific host. Once the cycle is properly removed, host coupling is indistinguishable from zero for every pair but bismuth<-lead. The \"host decides the direction\" mechanism is not visible in annual data. The specific EPISODES behind it remain real (gallium/germanium on 2023 export controls, cobalt on Indonesian nickel) \u2014 those are documented events, not artifacts. What is not supported is the general law."}