Unformatted text preview: Transformation X Given (σ x 2 ) μ x 2 2 X X n σ = Standard Normal (z) x x X z μ= X Unknown, use sample variance (s x 2 ) t w/ n1 d.f. x x X t= ˆ p Unknown d , matched pairs 2 2 d d s n = t w/ n1 d.f. d , independent samples Given (σ x 2 , σ y 2 ) x d X z= d , independent samples 2 2 2 p p d x y s s n n = + 2 2 2 ( 1) ( 1) 2 x x y y p x y n s n s s n n+= +d , independent samples tdist with (*) d.f. * 2 2 2 2 2 2 2 . . 1 1 ( ) ) ( ) ( y x x y y x y x x y s s n n d f s s n n n n + = +...
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 Spring '08
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 Normal Distribution, Variance, w/ n1 d.f

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