Textbook Notes (367,752)
STA304H1 (1)
Chapter 4-6

# chap4-6 formulas

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Department
Statistical Sciences
Course
STA304H1
Professor
Nancy Reid
Semester
Fall

Description
⎞ ⎟ ⎟ ⎠ sx y s x ρ − 2 2 2 2 σ σ ) pq sx x 2 + 2 + 2 + + σ ) σ ) 4 ) 2 y 2 N − / N − /( Npq − / ⎛ ⎜ ⎜ ⎝ 2 2B 2 2r ( B ( = ( B f = = = D = = − n n D n n D 1 ) ( ˆV 2⎞ ⎟⎟ ⎠ s n ⎞ ⎟ ⎠ ⎞ ⎟⎟ ⎠ ⎞ ⎟ ⎠⎝ ˆq 1 2 2 n n ˆp − s ⎛ ⎜⎜ ⎝ − N ⎛ ⎜ ⎝ n ⎟ ⎠ ⎞ ⎟ ⎠ N ⎞ ⎟ ⎠ − n ⎛2⎜ ⎝ − 2r N nN − N N N or ⎞ ⎟ ⎠ ⎛ ⎜ ⎝ ⎛ ⎜ ⎝ = ⎛ ⎜ ⎝ 2 n = = y = i − ( y N p −x − N nN ˆV ˆ) ˆ() ˆ() y n 2 ⎜ ⎝ 2 x V V V ( ) N μ n ∑ i = = = y y 2r ( ( s ˆV ˆV , 2r y y ⎞ ⎟ ⎟ ⎠ sxy sx i n i 1 2 x s Estimator 1Estimated variance μ Sample size required n ∑ i y = ⎛⎞ ⎟ ⎠⎝ ρ 1 n N y n = = = − nN y τ ˆp N⎛ ⎜ ⎝ x μx = y r r r − = =y ˆ( y τy μ V ( ) 2 2 ) (p) x x − μ τ i −i i ( ( ( ) ( ) ( ) ) ) y x n ∑ i n ∑i n ∑ i ( ( Total i = 1 1 1 Mean y xi 1 − 1 − 1 n Proportion n ∑ i n ∑i n n =
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