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Re: "Vernier acuity" of horizon IC tests
From: Bill Morris
Date: 2009 Jul 7, 03:28 -0700
From: Bill Morris
Date: 2009 Jul 7, 03:28 -0700
George, Thank you for tabulating my results. I was too lazy to do so. You wrote "The surprise, to me, is not in the difference in the scatters, but in the difference between the mean values of zero-error." Yes, these different results for the mean index error is what surprised me and led me to do the second series of naked eye observations. If we write down the 95% standard errors for the means (1.96 x SD/root n), which I should have calculated, we get: naked eye series 1 1.457 +/- 0.164 95% range 1.62 - 1.306 naked eye series 2 1.30 +/- 0.148 1.45 - 1.15 x 4 scope 0.743 +/- 0.067 0.81 - 0.68 x 6 scope 0.593 +/- 0.046 0.64 - 0.55 The differences of the means are clearly real at the 95 % confidence level. I suppose now I should do a whole new series and also look for another instrument in which there is no paint line on the horizon glass. I think I have an old Tamaya which has just air in place of the plain glass, but of course its at the bottom of a pile of boxes, it's getting late and my brain is hurting. Frank, In comparing the scatters, I wonder whether it's the variances (SD squared)we should be comparing, rather than the SDs? My statistical education, such as it was, is too far away and anyway, I have little mathematical intuition. You, on the other hand, seem to have lots. Perhaps you can comment. Bill B You have reminded me that I did not say how I handled the micrometer. I always brought the reflected image down to the direct image, in the direction of increasing reading. In most sextants this places load on the thrust bearing of the micrometer rather than on the axial pre-load spring and in theory at least, gives more consistent results. The US BuShips Mk II has a left hand thread and I think the load comes the other way around, but it's at the bottom of another pile of boxes... In the SNO-T it doesn't matter, as long as it's always the same way. Bill Morris --~--~---------~--~----~------------~-------~--~----~ Navigation List archive: www.fer3.com/arc To post, email NavList@fer3.com To , email NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---