Journals / Ege Üniversitesi Fen Fakültesi Dergisi Seri A - B / 1997 / Cilt: 20 - Sayı: 1-2

Tekil Gauss- Markov modelde R (.) notasyonunun kullanılması

The use of R (.) notation in singular Gauss-Markov model

Pages
1–10
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this article the use of R(.) notation has been extended to correlated data and a variance analysis table has been given for singular case of covariance matrix of e.

📌 3 Key Takeaways

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Objective & Hypothesis:In linear model $y= x_1 b_1 + x_2 b_2 + e$ where $b_1$ and $b_2$ are unknown parameter vectors, one of the analysis of variance techniques for testing hypotheses $b_1 = 0$or $b_2 = 0$ is to use R(.) notation.
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Key Findings & Data:Through the literature this technique has been used and examined for uncorrelated data.
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Conclusion & Impact:In this article the use of R(.) notation has been extended to correlated data and a variance analysis table has been given for singular case of covariance matrix of e.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In linear model $y= x_1 b_1 + x_2 b_2 + e$ where $b_1$ and $b_2$ are unknown parameter vectors, one of the analysis of variance techniques for testing hypotheses $b_1 = 0$or $b_2 = 0$ is to use R(.) notation. Through the literature this technique has been used and examined for uncorrelated data. In this article the use of R(.) notation has been extended to correlated data and a variance analysis table has been given for singular case of covariance matrix of e.

Özet

Bilinmeyen parametre vektörleri $b_1$ ve $b_2$ olan $y= x_1 b_1 + x_2 b_2 + e$ lineer modelinde $b_1 = 0$ yada $b_2 = 0$ hipotezlerini test etme yöntemlerinden birisi de R(.) notasyonunun kullanılmasıdır. Bu teknik literatürde korelasyonsuz datalar için kullanılmış ve incelenmiştir. Bu makalede R(.) notasyonunun kullanılması korelasyonlu datalar için genişletilmiş ve e vektörünün kovaryans matrisinin tekil olması halinde bir varyans analiz tablosu verilmiştir.

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Cite This Article

BAYHAN, M. (2022). Tekil Gauss- Markov modelde R (.) notasyonunun kullanılması. Ege Üniversitesi Fen Fakültesi Dergisi Seri A - B, Cilt: 20 - Sayı: 1-2, 1–10. https://ajindex.com/articles/496318