biostats equation sheet

# biostats equation sheet - 1 ¯ x ﬁtted value ˆ y i = b +...

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Statistics 371 Equation Summary (page 2) Fall 2002 One-way ANOVA k = number of groups n i = sample size of the i th sample n * = combined sample size ¯ y i = sample mean of the i th sample ¯ ¯ y = grand mean s i = sample SD of the i th sample SS(between) = k X i =1 n i y i - ¯ ¯ y ) 2 SS(within) = k X i =1 ( n i - 1) s 2 i SS(total) = k X i =1 n i X j =1 ( y ij - ¯ ¯ y ) 2 df(between) = k - 1 df(within) = n * - k df(total) = n * - 1 MS(between) = SS(between)/df(between) MS(within) = SS(within)/df(within) F = MS(between) / MS(within) ˆ σ = p MS(within) Correlation Coefcient r = 1 n - 1 n X i =1 ± x i - ¯ x s x ²± y i - ¯ y s y ² = ( x i - ¯ x )( y i - ¯ y ) p ( x i - ¯ x ) 2 ( y i - ¯ y ) 2 Simple Linear Regression ﬁtted line Y = b 0 + b 1 X slope b 1 = ( x i - ¯ x )( y i - ¯ y ) ( x i - ¯ x ) 2 b 1 = r s y s x intercept b 0 = ¯ y - b
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Unformatted text preview: 1 ¯ x ﬁtted value ˆ y i = b + b 1 x i residual y i-ˆ y i residual sum of squares SS(resid) = ∑ ( y i-ˆ y i ) 2 SS(resid) = ( n-1)(1-r 2 ) s 2 y residual SD s Y | X = r SS(resid) n-2 s Y | X = r n-1 n-2 p 1-r 2 s y SE( b 1 ) SE( b 1 ) = s Y | X p ∑ ( x i-¯ x ) 2 SE( b 1 ) = r 1-r 2 n-2 s y s x conﬁdence interval b 1 ± t * SE( b 1 ) hypothesis test t = b 1 SE( b 1 ) = r r n-2 1-r 2 Bret Larget December 12, 2002...
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## This note was uploaded on 04/09/2008 for the course BIO 375 taught by Professor Buendia during the Spring '08 term at University of Miami.

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