5-classification-DA

3u3 577 0one 069opo4 055chla points

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Unformatted text preview: ,*X0*)=*@%=2A*<")?*+(%@.#)*ck Statistics 503, Spring 2013, ISU 16 ¯ ￿ −1 ¯￿ ¯ Xk Spooled X0 − Xk S−1 ed Xk pool k = 1, ..., g 456*#%1/$)"%$ d the linear discriminant functions. orating-!/*$(+$2+().#*)?"#*D2(')"),0*$(++.3*)?.*+"'.(%* prior probabilities 3"#$%"&"'(')0* k0**;=%*@%=2A*k bability for group k is pkcthen the discriminant functions become !!! ￿ −1 ￿ −1 ¯ ¯ ¯ Xk Spooled X0 − Xk Spooled Xk + log pk k = 1, ..., g e natual log. This shifts the boundary away from the group with the larger e might use the sample size in the olive oils, nS ard = 98, nN th = 151 to ass 98/249 = 0.39, pN th = 151/249 = 0.61. The result is to change the constant 04 + log(151/98)). The training error is slightly better, 7/249 = 0.028. !"#$%&'()*:+(##";,*X0*)=*@%=2A*<")?*+(%@.#)*ck Statistics 503, Spring 2013, ISU 16 4 6210>$%*)$.2'0'12 :(+$2+().*)?.*9(?(+('=6"#*3"#)('$.*6.)<..'** '.<*=6#.%>()"='*('3*)?.*kth*&.('0*dk0** ¯ ¯ (Xk − X0 )￿ S−1 (Xk − X0 ) − logpk pooled !"#$%&'()*:+(##";,*X *)=*@%=2A*<")?*#&(++.#)*d a1 = β0 + β1 mxPH + β2 mnO2 0 β3 Cl + β4 NO3 + β5 NH4 k+ β6 PO4 + + β7 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) β0 + β1 mxPH + β2 mnO2StatisticsCl + β4 NO3 + β5 NH4 + β6 oPO4 + β7 PO + β3 503, Spring 2013, ISU β8 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, 17 6210>$%*)$.2'0'12 :(+$2+().*)?.*9(?(+('=6"#*3"#)('$.*6.)<..'** '.<*=6#.%>()"='*('3*)?.*kth*&.('0*dk0** !!! ￿ −1 ¯ ¯ (Xk − X0 ) Spooled (Xk − X0 ) − logpk !"#$%&'()*:+(##";,*X *)=*@%=2A*<")?*#&(++.#)*d a1 = β0 + β1 mxPH + β2 mnO2 0 β3 Cl + β4 NO3 + β5 NH4 k+ β6 PO4 + + β7 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) β0 + β1 mxPH + β2 mnO2StatisticsCl + β4 NO3 + β5 NH4 + β6 oPO4 + β7 PO + β3 503, Spring 2013, ISU β8 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, 17 a1 = β0 C>D*'(*0>'(E + β Cl + β oPO4 + β Chla + τ +τ 1 2 3 size speed + ε, ε ∼ N (0, σ 2 ) 2: In lda.default(x, grouping, ...) : variables are collinear lda*;2'$)"='*;%=&*9/RR*@">.#*(*<(%'"'@ 5.27 − 0.41Cl − 0.69oPO4 − 0.55Chla if size=“large” and speed=“h B(%"(6+.#*(%.*$=++"'.(% 5.57 − 0.41Cl − 0.69oPO4 − 0.55Chla if size=“medium” and speed= 4.<.%*A="')#*)?('*3.U'.*)?.*3"&.'#"=' 5.77 − 0.One − 0.69oPO4 − 0.55Chla points in 3D ...and speed=“h 41Cl point in 2D Two if size=“small’ 5.76 − 0.41Cl − 0.69oPO4 − 0.55Chla if size=“lareg” and speed=“l Statistics if Spring 2013, ISU .21Cl + 0.32oPO4 − 0.52Chla 503,size=“large” & speed=“high” .45 + (−1.21 − 0.19)Cl + 0.32oPO4 − 0.52Chla if size=...
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This note was uploaded on 02/06/2014 for the course STAT 503 taught by Professor Staff during the Fall '08 term at Iowa State.

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