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Rasio korelasi - Wikipédia

Rasio korelasi

Ti Wikipédia, énsiklopédi bébas

Dina statistik, rasio korelasi nyaeta ukuran hubungan antara dispersi statistik dina kategori individu jeung dispersi lintasan tina sakabeh populasi atawa sampel.

Upamana unggal observasi nyaeta yxi numana x nembongkeun kategori nu di-observasi sarta xi nyaeta ngaran tina bagian observasi. Urang bakal nuliskeun nx keur jumlah observasi dina kategori x (teu pati penting keur nilai nu beda tina x) sarta

\overline{y_x}=\frac{\sum_i y_{xi}}{n_x} and \overline{y}=\frac{\sum_x n_x \overline{y_x}}{\sum_x n_x}

maka rasio korelasi η (eta) dihartikeun salaku

\eta^2 = \frac{\sum_x n_x (\overline{y_x}-\overline{y})^2}{\sum_{xi} (y_{xi}-\bar{y})^2} nu bisa oge ditulis saperti \frac{\sigma_{\overline{y}}^2}{\sigma_{y}^2}.

Hal ieu ngarupakeun catetan penting lamun hubungan antara nilai x \;\ jeung nilai \overline{y_x} linier (nu salawasna bener lamun ngan dua kamungkinan keur x) hal ieu bakal mere hasil nu sarua saperti koefisien korelasi; maka lamun taya rasio korelasi bakal leuwih gede dina besaran, sanajan angger teu leuwih ti 1 dina eta besaran. Hal ieu bisa dipake keur mutuskeun hubungan non-linier.

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