Kajian Tentang Pengaruh Two Stage Cluster Sampling Terhadap Statistik Uji-F  

Oleh:

Priyo Utomo, Agung

Jenis: Article from Journal - ilmiah nasional
Dalam koleksi: Jurnal Matematika, Sains, dan Teknologi vol. 8 no. 2 (Sep. 2007), page 89-97.
Topik: F-Statistic; Intracluster Correlation; Two Stage Cluster Sampling
Fulltext: 02agung.pdf (190.14KB)

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: JJ138.1 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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In regression analysis we make several assumptions about the error term. The following assumption are often made: 1) the error terms are random variabeles with mean 0;2) nonautocorrelation; 3) homoscedasticity, and 4) normality. The assumption of indentically and independently distributed (iid) observations that underlies regression procedures is called into question when analyzing complex survey data. Particularly the existence of clusters in two stage samples usually exhibit positive intracluster correlation. If we use Ordinary Least Squares (OLS) procedures to make inferences in regression analysis for two stage cluster samples, we will be faced with a problem. This study aims to know the effect of two stage least squares on the F-Statistic. In general, although OLS procedures are unbiased but not fully efficient for estimation of the regression coefficients. Variance of the OLS estimators for the regression coefficients can be larger than the usual OLS variance expression would indicate. Failure to consider this possibility leads to underestimation of variances, with consequences for confidence intervals and F-Statistic. The effect of intracluster correlation on the F-Statistic is the distortion of its distribution. The F-Statistic will not follow the Central F-Statistic is the distortion of its distribution. The F-Statistic will not follow the Central F distribution anymore. Consequently, the hypothesis testing procedures is invalid.

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