Uncertainty (Ketidakpastian)

(1)

ACC

LABORATORIUM PEMBELAJARAN ILMU KOMPUTER

FAKULTAS ILMU KOMPUTER

UNIVERSITAS BRAWIJAYA

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(2)

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2# J(=(8

1. Labeling Data set

Y mewakili kelas. 1 = rendah , 2 = sedang, 3 = tinggi

2. Memisahkan X berdasarkan grup/ kelas

X1 untuk kelas rendah, X2 untuk kelas sedang, dan X3 untuk kelas

tinggi

(3)

3. Hitung mean dari setiap kelas dan mean glbal

!. Hitung mean "rre"ted #mean setiap kelas $ mean glbal%

&. Hitung matrik k'arian grup

(4)

*. Hitung likelihd dari setiap "ur'ature

(umus )

a. +ekanan darah = 1&, -adar gula = 1, -lestrl = 2&2, LDL = 13&,

0mur

=

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= 1.&21211 

e  $1/2 

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(5)

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b. +ekanan darah = 1&, -adar gula = 11&, -lestrl = 122, LDL = ,

0mur = *2

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". +ekanan darah = 1, -adar gula = 1, -lestrl = 1&, LDL = 12,

0mur = 2

=

(6)

 e  $1/2 

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A. DEFINISI MASALAH

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B. JAWAB

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140 199 15 127 60 $()

160 110 14 109 60 $()

190 247 15 127 55 $()

140 64 13 122 44 %$)(

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(7)

example.java import java.io.BufferedReader; import java.io.FileReader; import java.io.IOException; import java.io.InputStreamReader; import java.util.logging.Level; import java.util.logging.Logger; public class example 

public static void main!String"# args$ t%ro&s IOException 

String data"#"# ' ne& String"()#"*#; String tinggi"#"# ' ne& String"+#"*#; String sedang"#"# ' ne& String",#"*#; String renda%"#"# ' ne& String"+#"*#; --mean corrected

double tinggimc"#"# ' ne& double"+#"/#; double sedangmc"#"# ' ne& double",#"/#; double renda%mc"#"# ' ne& double"+#"/#; --mean covarian

double tinggicov"#"# ' ne& double"/#"/#; double sedangcov"#"# ' ne& double"/#"/#; double renda%cov"#"# ' ne& double"/#"/#; double globalcov"#"# ' ne& double"/#"/#; --global invers double globalinv"#"#; --prior double tinggiprior; double sedangprior; double renda%prior; --dis0riminan double tinggidis0; double sedangdis0; double renda%dis0;

--inde0s untu0 pemeca%an arra1 2 tinggi3sedang3renda%3pus%ers

int xc3 xs3 xt; xc ' xs ' xt ' );

double ug"# ' ne& double"/#;--mean global double uc"# ' ne& double"/#;--mean tinggi double us"# ' ne& double"/#;--mean sedang double ut"# ' ne& double"/#;--mean renda%

--input

-- double dicari"# ' (43 (53 (53 ,,3 +6 ; double dicari"# ' ne& double"/#;

BufferedReader in'ne& BufferedReader!ne& InputStreamReader!S1stem.in$$;

S1stem.out.println!7Input 8ata 7$;

S1stem.out.println!77$;

S1stem.out.print!79e0anan 8ara% 2 7$;

(8)

S1stem.out.print!7:adar ula 2 7$; dicari"(#' Float.parseFloat!in.readLine!$$; S1stem.out.print!7:olesterol 2 7$; dicari"<#' Float.parseFloat!in.readLine!$$; S1stem.out.print!7L8L 2 7$; dicari"+#' Float.parseFloat!in.readLine!$$; S1stem.out.print!7=mur 2 7$; dicari",#' Float.parseFloat!in.readLine!$$; tr1  data ' get8ata!7data.txt7$; 6 catc% !IOException ex$ 

Logger.getLogger!main.class.get>ame!$$.log!Level.SE?ERE3 null3 ex$;

6

--memisa% arra1 tinggi3sedang3renda% for !String"# data( 2 data$ 

--S1stem.out.println!data("/#$;

for !int l ' ); l @ data")#.lengt%; lAA$  s&itc% !data("/#$  case 7tinggi72 tinggi"xc#"l# ' data("l#; --S1stem.out.println!77Atinggi"xc# "l#$; brea0; case 7sedang72 sedang"xs#"l# ' data("l#; brea0; case 7renda%72 renda%"xt#"l# ' data("l#; brea0; 6 6 s&itc% !data("/#$  case 7tinggi72 xcAA; brea0; case 7sedang72 xsAA; brea0; case 7renda%72 xtAA; brea0; 6 6 --mean ug ' mean!data$;

-- S1stem.out.println!7panjang tinggi 2 7Atinggi")# "(#$;

-- for !int i ' ); i @ tinggi.lengt%; iAA$  -- S1stem.out.println!tinggi"i#"(#$;

-- 6

(9)

us ' mean!sedang$; ut ' mean!renda%$;

-- for !int 0 ' ); 0 @ug.lengt%; 0AA$ 

-- S1stem.out.print!up"0#A7 7$;

-- 6

-- S1stem.out.println!77$;

--meancorrected

tinggimc ' meanCorrected!tinggi3 ug$; sedangmc ' meanCorrected!sedang3 ug$; renda%mc ' meanCorrected!renda%3 ug$;

-- for !int 0 ' ); 0 @ pus%ermc.lengt%; 0AA$  -- for !int l ' ); l @ pus%ermc")#.lengt%; lA A$  -- S1stem.out.printf!7D.+f7A7 73 pus%ermc"0#"l#$; -- 6 -- S1stem.out.println!77$; -- 6 -- S1stem.out.println!renda%mc")#")#$; --matri0s covarian tinggicov ' covarian!tinggimc$; sedangcov ' covarian!sedangmc$; renda%cov ' covarian!renda%mc$; globalcov ' globalCovarioan!data.lengt%3 tinggicov3 tinggi.lengt%3 sedangcov3 sedang.lengt%3

renda%cov3 renda%.lengt%$; --invers cov global

globalinv ' invert!globalcov$;

-- for !int 0 ' ); 0 @globalinv.lengt%; 0AA$  -- for !int l ' ); l @ globalinv")#.lengt%; lA A$  -- S1stem.out.printf!7D.+f7A7 73 globalinv"0#"l#$; -- 6 -- S1stem.out.println!77$; -- 6 --prior tinggiprior ' !double$tinggi.lengt% -!double$data.lengt%; sedangprior ' !double$sedang.lengt% -!double$data.lengt%; renda%prior ' !double$renda%.lengt% -!double$data.lengt%; --dis0riminan

tinggidis0 ' dis0riminan!uc3 globalinv3 dicari3 tinggiprior$;

(10)

sedangdis0 ' dis0riminan!us3 globalinv3 dicari3 sedangprior$;

renda%dis0 ' dis0riminan!ut3 globalinv3 dicari3 renda%prior$; -- S1stem.out.printf!7D.+f7A7 73 tinggidis0$; -- S1stem.out.printf!7D.+f7A7 73 sedangdis0$; -- S1stem.out.printf!7D.+f7A7 73 renda%dis0$; -- S1stem.out.printf!7D.+f7A7 73 pus%erdis0$; -- S1stem.out.println!tinggidis0$; -- S1stem.out.println!sedangdis0$; -- S1stem.out.println!renda%dis0$; -- S1stem.out.println!pus%erdis0$; --String :elasasil'79inggi7; double tmp'tinggidis0; if!tmp@ sedangdis0$ tmp'sedangdis0; :elasasil'7Sedang7; 6 if !tmp@ renda%dis0$ tmp'renda%dis0; :elasasil'7Renda%7; 6

S1stem.out.println!78ata 1ang anda masu0an adala% 0elas 2 7A:elasasil$;

6

public static String"#"# get8ata!String source$ t%ro&s IOException 

BufferedReader in ' ne& BufferedReader!ne& FileReader!source$$;

String line;

String result"#"# ' ne& String"()#"*#; int i ' )3 j;

&%ile !!line ' in.readLine!$$ ' null$  j ' );

String"# arr ' line.split!7 7$; for !String tmp 2 arr$ 

result"i#"j# ' tmp; jAA; 6 iAA; 6 in.close!$; return result; 6

private static double"# mean!String"#"# arra1$  double result"# ' ne& double"/#;

double fitur(3 fitur<3 fitur+3 fitur,3 fitur/3 n; fitur( ' fitur< ' fitur+ ' fitur, ' fitur/ ' n ' );

(11)

--S1stem.out.println!arra1.lengt%$;

for !int 0 ' ); 0 @ arra1.lengt%; 0AA$  fitur( A' Float.parseFloat!arra1"0#")#$; fitur< A' Float.parseFloat!arra1"0#"(#$; fitur+ A' Float.parseFloat!arra1"0#"<#$; fitur, A' Float.parseFloat!arra1"0#"+#$; fitur/ A' Float.parseFloat!arra1"0#",#$; nAA; 6 result")# ' fitur( - n; result"(# ' fitur< - n; result"<# ' fitur+ - n; result"+# ' fitur, - n; result",# ' fitur/ - n; return result; 6

private static double"#"# meanCorrected!String"#"# arra13 double"# ug$ 

double result"#"# ' ne& double"arra1.lengt%# "ug.lengt%#;

for !int 0 ' ); 0 @ arra1.lengt%; 0AA$ 

result"0#")# ' Float.parseFloat!arra1"0#")#$  ug")#; result"0#"(# ' Float.parseFloat!arra1"0#"(#$  ug"(#; result"0#"<# ' Float.parseFloat!arra1"0#"<#$  ug"<#; result"0#"+# ' Float.parseFloat!arra1"0#"+#$  ug"+#; result"0#",# ' Float.parseFloat!arra1"0#",#$  ug",#; 6 return result; 6

private static double"#"# covarian!double"#"# arra1$  double transposearra1"#"# ' ne&

double"arra1")#.lengt%#"arra1.lengt%#; double n ' arra1.lengt%;

transposearra1 ' transpose!arra1$; double result"#"# ' ne&

double"transposearra1.lengt%#"arra1")#.lengt%#; result ' per0alian!transposearra13 arra1$; --pembagian dengan n

for !int i ' ); i @ result.lengt%; iAA$ 

for !int j ' ); j @ result")#.lengt%; jAA$  result"i#"j# ' result"i#"j# - n;

6 6

(12)

return result; 6

private static double"#"# globalCovarioan!int lengt%3 double"#"# tinggicov3 int lengt%)3 double"#"# sedangcov3

int lengt%(3 double"#"# renda%cov3 int lengt%<$ 

double result"#"# ' ne& double"/#"/#;

for !int i ' ); i @ tinggicov.lengt%; iAA$ 

for !int j ' ); j @ tinggicov")#.lengt%; jAA$ 

result"i#"j# ' !!tinggicov"i#"j# G

lengt%)$ A !sedangcov"i#"j# G lengt%($ A !renda%cov"i#"j# G lengt%<$$ - lengt%; 6 6 return result; 6 --invers matri0s

public static double"#"# invert!double a"#"#$  int n ' a.lengt%;

double x"#"# ' ne& double"n#"n#; double b"#"# ' ne& double"n#"n#; int index"# ' ne& int"n#;

for !int i ' ); i @ n; AAi$  b"i#"i# ' (;

6

-- 9ransform t%e matrix into an upper triangle gaussian!a3 index$;

-- =pdate t%e matrix b"i#"j# &it% t%e ratios stored for !int i ' ); i @ n  (; AAi$ 

for !int j ' i A (; j @ n; AAj$  for !int 0 ' ); 0 @ n; AA0$ 

b"index"j##"0# ' a"index"j##"i# G b"index"i## "0#; 6 6 6

-- Herform bac0&ard substitutions for !int i ' ); i @ n; AAi$ 

x"n  (#"i# ' b"index"n  (##"i# - a"index"n  (##"n  (#;

for !int j ' n  <; j ' ); j$  x"j#"i# ' b"index"j##"i#;

for !int 0 ' j A (; 0 @ n; AA0$ 

x"j#"i# ' a"index"j##"0# G x"0#"i#; 6

x"j#"i# -' a"index"j##"j#; 6

(13)

6

return x; 6

-- Jet%od to tinggi out t%e partialpivoting aussian -- elimination. ere index"# stores pivoting order.

public static void gaussian!double a"#"#3 int index"#$ 

int n ' index.lengt%;

double c"# ' ne& double"n#; -- InitialiKe t%e index

for !int i ' ); i @ n; AAi$  index"i# ' i;

6

-- Find t%e rescaling factors3 one from eac% ro& for !int i ' ); i @ n; AAi$ 

double c( ' );

for !int j ' ); j @ n; AAj$ 

double c) ' Jat%.abs!a"i#"j#$; if !c)  c($  c( ' c); 6 6 c"i# ' c(; 6

-- Searc% t%e pivoting element from eac% column int 0 ' );

for !int j ' ); j @ n  (; AAj$  double pi( ' );

for !int i ' j; i @ n; AAi$ 

double pi) ' Jat%.abs!a"index"i##"j#$; pi) -' c"index"i##; if !pi)  pi($  pi( ' pi); 0 ' i; 6 6

-- Interc%ange ro&s according to t%e pivoting order

int itmp ' index"j#; index"j# ' index"0#; index"0# ' itmp;

for !int i ' j A (; i @ n; AAi$ 

double pj ' a"index"i##"j# - a"index"j## "j#;

-- Record pivoting ratios belo& t%e diagonal

(14)

-- Jodif1 ot%er elements accordingl1 for !int l ' j A (; l @ n; AAl$ 

a"index"i##"l# ' pj G a"index"j##"l#; 6

6 6 6

private static double dis0riminan!double"# mean3 double"#"# globalinv3 double"# dicari3 double prior$ 

double result ' );

double meanfix"#"# ' ne& double"(#"mean.lengt%#; for !int i ' ); i @ mean.lengt%; iAA$ 

meanfix")#"i# ' mean"i#; 6

double meanfixtranspose"#"# ' ne& double"mean.lengt%#"(#;

for !int i ' ); i @ mean.lengt%; iAA$  meanfixtranspose"i#")# ' mean"i#; 6

double dicaritranspose"#"# ' ne& double"dicari.lengt%#"(#;

for !int i ' ); i @ dicari.lengt%; iAA$  dicaritranspose"i#")# ' dicari"i#; 6 --- ---Gleft side --mean x globalinvers

double meanxglobalinv"#"# ' ne&

double"meanfix.lengt%#"globalinv")#.lengt%#;

meanxglobalinv ' per0alian!meanfix3 globalinv$; --result left side

double tmpleftside "#"# ' ne& double"meanxglobalinv.lengt%#

"dicaritranspose")#.lengt%#;

tmpleftside ' per0alian!meanxglobalinv3 dicaritranspose$;

double leftside ' tmpleftside ")#")#;

--Gcenter --meanxglobal x meanfixtranspose double meanxglobalxmeanfixtranspose "#"# ' ne& double"meanxglobalinv.lengt%# "meanfixtranspose")#.lengt%#; meanxglobalxmeanfixtranspose ' per0alian!meanxglobalinv3 meanfixtranspose$;

--result center side double centerside '

meanxglobalxmeanfixtranspose")#")#-<; --Grig%t side

double ln ' Jat%.log!prior$; double rig%tside ' !double$ln;

---

(15)

--- --result

result ' leftside  centerside A rig%tside; return result;

6

private static double"#"# transpose!double"#"# arra1$  double result"#"# ' ne& double"arra1")#.lengt%# "arra1.lengt%#;

for !int i ' ); i @ arra1.lengt%; iAA$ 

for !int j ' ); j @ arra1")#.lengt%; jAA$  result"j#"i# ' arra1"i#"j#;

6 6

return result; 6

private static double"#"# per0alian!double"#"# transposearra13 double"#"# arra1$ 

double result"#"# ' ne&

double"transposearra1.lengt%#"arra1")#.lengt%#;

for !int i ' ); i @ transposearra1.lengt%; iAA$  for !int j ' ); j @ arra1")#.lengt%; jAA$ 

for !int 0 ' ); 0 @ transposearra1")#.lengt%; 0AA$  result"i#"j# A' transposearra1"i#"0# G arra1"0#"j#; 6 6 6 return result; 6 6

P$)$+(() S%,$ C$

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$%&.)() LDA

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M$. (&() &)('() ).' *$)&.) (&() ).'

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(16)

$%&.)() LDA

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# T$'()() (%( : 130

K((% +( : 326

K+$.%+ :139

LDL : 99

U*% : 56

T$'()() (%( : 125

K((% +( : 226

K+$.%+ :10

LDL : 120

U*% : 49

$#

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(17)

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(18)