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Question about errors, Hubble's constant
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[QUOTE="Matt atkinson, post: 5452953, member: 416698"] [h2]Homework Statement [/h2] I am just looking through some old notes I have from for cosmology, and there's something cropped up that i can't seem to figure out: Say I have two (or more) values for [itex]H_o[/itex] each with errors such as: [tex]H_{o_1}=70^{+a+b}_{-c-d}[/tex] and [tex]H_{o_2}=69^{+e+f}_{-g-h}[/tex] How would I go about calculating the weighted averaged (a,c,e,g are statistical errors. The rest are systematic errors) and then uncerstainty on the weighted average when for instance [itex]a\neq c[/itex]. [h2]Homework Equations[/h2] All the formula i found are along the lines of: [tex]\bar{x}=(\sum^{N}_{i=1}x_i/\sigma_i^2)/(\sum^{N}_{i=1}1/\sigma_i^2)[/tex] [tex]\sigma_{\bar{x}}=\sqrt{1/(\sum^{N}_{i=1}1/\sigma_i^2})[/tex] [h2]The Attempt at a Solution[/h2] I've attempted to workout the top uncertainty on it's own, and likewise with the bottom but that doesn't seem the right way to do it. [/QUOTE]
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Question about errors, Hubble's constant
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