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測量~加權中誤差 請大大幫忙解惑一下

文章發表於 : 2016 7月 04 (週一) 10:05 am
#0 由 a082332590sam33
13582395_1139953976028090_247635111_o.jpg
13575514_1139953999361421_1899395260_o.jpg



如照片
請問一下 那個裡面加權後 開根號 幾乎都會比 改正數來的大很多?
請問一下我這樣算對嗎!?
那 加權後 要如何判斷 錯誤值!?

Re: 測量~加權中誤差 請大大幫忙解惑一下

文章發表於 : 2016 7月 04 (週一) 4:20 pm
#1 由 NBA
Hp1 = 143.425 + 26.672 = 170.097m
Hp2 = 217.580 – 47.466 = 170.134m
Hp3 = 168.724 + 1.374 = 170.098m

[權]
(1/7.8):(1/17.8):(1/12.3) = 243.54:95.94:154.44

[最或是值]
Hp = (170.097*243.54 + 170.134*95.94 +170.098*154.44) / (243.54 + 95.94 + 154.44)
= 170.1045m

[改正數]
v1 = 0.0075
v2 = -0.0295
v3 = 0.0065

[單位權]
σ = ± {[(170.097*0.0075^2) + (170.134*-0.0295^2) + (170.098*0.0065^2)] / (3-1)}^(1/2) = ± 0.2871m

v 不能大於σ~3σ
符合檢錯ok!

[中誤差]
m = ± 0.2871 / [(3)^(1/2)] = ± 0.166m

[答案]
Hp = 170.1045m ± 0.166m

Re: 測量~加權中誤差 請大大幫忙解惑一下

文章發表於 : 2016 7月 05 (週二) 8:31 pm
#2 由 a082332590sam33
NBA 寫:Hp1 = 143.425 + 26.672 = 170.097m
Hp2 = 217.580 – 47.466 = 170.134m
Hp3 = 168.724 + 1.374 = 170.098m

[權]
(1/7.8):(1/17.8):(1/12.3) = 243.54:95.94:154.44

[最或是值]
Hp = (170.097*243.54 + 170.134*95.94 +170.098*154.44) / (243.54 + 95.94 + 154.44)
= 170.1045m

[改正數]
v1 = 0.0075
v2 = -0.0295
v3 = 0.0065

[單位權]
σ = ± {[(170.097*0.0075^2) + (170.134*-0.0295^2) + (170.098*0.0065^2)] / (3-1)}^(1/2) = ± 0.2871m

v 不能大於σ~3σ
符合檢錯ok!

[中誤差]
m = ± 0.2871 / [(3)^(1/2)] = ± 0.166m

[答案]
Hp = 170.1045m ± 0.166m




大大感謝你!!!!