Korelasi Dan Regresi fix

Correlation and regressionZarni AmriIKK-FKUI

korelasi dan regresi s3

CorrelationStatistical Association or relationship between two variablesPositive correlation between Age and Blood Pressure the older people tend to have higher BP than young people

How two continuous variables are related?Positive or NegativeHo : two variables continuous are not relatedHi : two variables continuous are related


RegressionProvides a method for describing the relationship between two variablesGRE scores and grade receives in graduate school? GRE as predictor of grade in graduate schoolPredictor? Life expectancy predicted fromBody weightBlood PressureAgeCholesterol level andOther parameter


Correlation and regressionY = a + b XY axis = dependent variables or predicted variablesX axis = independent variablesDetermining regression linea = Y intercept, value of Y if X=0, point where the line crosses the y axis Positive ; when the line crosses above X axisNegative ; when the line crosses below X axis b = slope; the amount of Y change of 1 in the value of Xb positiveY increases when the X increasesb negativeY decreases when the X increases


Y = a + bxba


20y=1 + 2x31-1y=-1 + 2xy=21243Y = a + bx


Age and resting blood pressure by personality type A&BType A (n=16) Type B (n=17)


y=a+bxMean = Sx1/n mean age = 42.5 Sy1/n mean BP = 129.6


Sum of squareIs used as indicator , how well the regression line fits the dataS (x1y1)-{Sx1Sy1} / nS (x1)2 - (Sx1)2/ nbyxS (x1y1) =x1y1+x2y2+x3y3 +xnynS x1.Sy1 =(x1+x2+x3+xn)(y1+y2+y3+.ynS (x1)2 =(x1+x2+x3=..xn)2


Sample variance = S2S (x1-x) 2n-1S2 =S (x1)2 -(Sx1) 2/nn-1S (x1)2 -(Sx1) 2 /nn-1(n-1)S2==


Sum of squareIs used as indicator , how well the regression line fits the dataS (x1y1)-{Sx1Sy1} / nbyx(n-1)S2=A=74 , b=1.4 Berapa BP untuk age 30 tahun?Y1 =74 + 1.4 (30) = 116


SPSSAnalisis regressi dilakukan dengan memilih menu Analyze: Regression Linear... Garis regresiScatter : Graphs pilih scatter plotAnalyze: Regression Curve estimation ...


Scatter


Garis regresi


KorelasiKorelasi adalah pengukuran hubungan linier antara 2 variabel. Koefisien korelasi berkisar antara -1 s/d 1. Prosedur penghitungan korelasi;Mulai dengan menu Analyze Pilih Correlate dan terdapat 3 pilihan (1) Bivariate, (2) Partial, and (3) Distances. Korelasi bivariat dipakai hanya untuk 2 variabelKorelasi partial untuk pengukuran hubungan 2 variabel tetapi memperhitungkan satu atau lebih faktor lain. Analyze Correlate Bivariate...


Hasil SPSS


Simple Scatterplot


Simple scatterplot


Have you ever been this tired???


UJI BIVARIAT KORELASINUMERIK VS NUMERIKH1: Terdapat hubungan antara usia dengan BBUji KORELASI koefisien korelasi (r)PARAMETRIK : Pearson correlation (rp)NON-PARAMETRIK: Spearman rank test (rs)


PENILAIAN UJI KORELASI1. Arah hubunganNegatif (meniadakan)Positif (menguatkan)2. Kuat hubungan kriteria WHO (r)< 0,25 : sangat lemah0,25-0,5: cukup0,5-0,7: kuat> 0,7: sangat kuat3. Kemaknaan


CONTOH UJI KORELASIH1: Usia menarche anak berhubunan dg IMTBivariat: usia menarche (numerik), IMT (numerik)Distribusi: Uji KS tidak normalUji statistik Korelasi Spearman rank test , =0,05

Koefisien korelasi rs: -0,184 p =0,103Arah hubungan: negatif Kuat hubungan: tidak ada hubunganKemaknaan: tidak bermakna

Kesimpulan: H1 ditolak: usia menarche tidak berhubungan dengan IMT


Korelasi Dan Regresi fix

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